List of numbers

This is a dynamic list and may never be able to satisfy particular standards for completeness. You can help by expanding it with reliably sourced entries.

This is a list of articles about numbers (not about numerals).

Rational numbers

Main article: Rational number

Natural numbers

Main article: Natural number

(Notice: In set theory and computer science, 0 is a natural number)

0	1	2	3	4	5	6	7	8	9
10	11	12	13	14	15	16	17	18	19
20	21	22	23	24	25	26	27	28	29
30	31	32	33	34	35	36	37	38	39
40	41	42	43	44	45	46	47	48	49
50	51	52	53	54	55	56	57	58	59
60	61	62	63	64	65	66	67	68	69
70	71	72	73	74	75	76	77	78	79
80	81	82	83	84	85	86	87	88	89
90	91	92	93	94	95	96	97	98	99
100	101	102	103	104	105	106	107	108	109
110	111	112	113	114	115	116	117	118	119
120	121	122	123	124	125	126	127	128	129
130	131	132	133	134	135	136	137	138	139
140	141	142	143	144	145	146	147	148	149
150	151	152	153	154	155	156	157	158	159
160	161	162	163	164	165	166	167	168	169
170	171	172	173	174	175	176	177	178	179
180	181	182	183	184	185	186	187	188	189
190	191	192	193	194	195	196	197	198	199
200	201	202	203	204	205	206	207	208	209
210	211	212	213	214	215	216	217	218	219
220	221	222	223	224	225	226	227	228	229
230	231	232	233	234	235	236	237	238	239
240	241	242	243	244	245	246
250	251	252			255	256	257
260			263						269
270			273			276	277
280				284
290
			300	400	500	600	700	800	900
	1000	2000	3000	4000	5000	6000	7000	8000	9000
	10000	20000	30000	40000	50000	60000	70000	80000	90000
					105	106	107	108	109
					10100	1010100	Larger numbers

Powers of ten (scientific notation)

Main article: Orders of magnitude (numbers)

Integers

Main article: Integer

Notable integers

Other numbers that are notable for their mathematical properties or cultural meanings include:

• −40, the equal point in the Fahrenheit and Celsius scales.
• −1, the additive inverse of unity.
• 0, the additive identity.
• 1, the multiplicative identity.
• 2, the base of the binary number system, used in almost all modern computers and information systems. Also notable as the only even prime number.
• 3, is significant in Christianity as the Trinity
• 4, the first composite number
• 6, the first of the series of perfect numbers, whose proper factors sum to the number itself.
• 7, considered a "lucky" number in Western cultures.
• 8, considered a "lucky" number in Chinese culture.
• 9, the first odd number that is not prime nor a unit.
• 10, the number base for most modern counting systems.
• 12, the number base for some ancient counting systems and the basis for some modern measuring systems. Known as a dozen.
• 13, considered an "unlucky" number in Western superstition.
• 42, the "answer to the ultimate question of life, the universe, and everything" in the popular science fiction work The Hitchhiker's Guide to the Galaxy.
• 60, the number base for some ancient counting systems, such as the Babylonians', and the basis for many modern measuring systems.
• 144, a dozen times dozen, known as a gross.
• 255, 2⁸ − 1, a Mersenne number and the smallest perfect totient number that is neither a power of three nor thrice a prime; it is also the largest number that can be represented using an 8-bit unsigned integer.
• 496, the third perfect number.
• 666, commonly known as the number of the beast.
• 786, regarded as sacred in the Muslim Abjad numerology.
• 1729, a taxicab number; the smallest positive integer that can be written as the sum of two positive cubes in two different ways; also known as the Hardy-Ramanujan number.
• 5040, mentioned by Plato in the Laws as one of the most important numbers for the city. It is also the largest factorial (7! = 5040) that is also a highly composite number.
• 65535, 2¹⁶ − 1, the maximum value of a 16-bit unsigned integer.
• 142857, the smallest base 10 cyclic number.
• 2147483647, 2³¹ − 1, the maximum value of a 32-bit signed integer using two's complement representation.
• 9814072356, the largest perfect power that contains no repeated digits in base ten.
• 9223372036854775807, 2⁶³ − 1, the maximum value of a 64-bit signed integer using two's complement representation.

Named numbers

• Googol (10¹⁰⁰) and googolplex (10¹⁰¹⁰⁰)
• Graham's number
• Moser's number
• Shannon number
• Hardy–Ramanujan number (1,729)
• Skewes' number
• Number of the Beast (666)
• Kaprekar's constant (6,174)
• The Golden Ratio (1.618...)

Prime numbers

Main article: Prime numbers

A prime number is a positive integer which has exactly two divisors: one and itself.

The first 100 prime numbers are:

2	3	5	7	11	13	17	19	23	29
31	37	41	43	47	53	59	61	67	71
73	79	83	89	97	101	103	107	109	113
127	131	137	139	149	151	157	163	167	173
179	181	191	193	197	199	211	223	227	229
233	239	241	251	257	263	269	271	277	281
283	293	307	311	313	317	331	337	347	349
353	359	367	373	379	383	389	397	401	409
419	421	431	433	439	443	449	457	461	463
467	479	487	491	499	503	509	521	523	541

Highly composite numbers

Main article: Highly composite number

A highly composite number (HCN) is a positive integer with more divisors than any smaller positive integer. They are often used in geometry, grouping and time measurement.

The first 20 highly composite numbers (the seven values with more divisors than any lesser number than twice itself are in bold):

1, 2, 4, 6, 12, 24, 36, 48, 60, 120, 180, 240, 360, 720, 840, 1260, 1680, 2520, 5040, 7560

Perfect numbers

Main article: Perfect number

A perfect number is an integer that is the sum of its positive proper divisors (all divisors except itself).

The first 10 perfect numbers:

1	6
2	28
3	496
4	8128
5	33550336
6	8589869056
7	137438691328
8	2305843008139952128
9	2658455991569831744654692615953842176
10	191561942608236107294793378084303638130997321548169216

Cardinal numbers

Main article: cardinal number

In the following tables, [and] indicates that the word and is used in some dialects (such as British English), and omitted in other dialects (such as American English).

Small numbers

This table demonstrates the standard English construction of small cardinal numbers up to one hundred million—names for which all variants of English agree.

Value	Name	Alternate names, and names for sets of the given size
0	Zero	aught, cipher, cypher, donut, goose egg, love, nada, naught, nil, none, nought, nowt, null, ought, oh, squat, zed, zilch, zip, zippo
1	One	ace, individual, single, singleton, unary, unit, unity
2	Two	binary, brace, couple, couplet, distich, deuce, double, doubleton, duad, duality, duet, duo, dyad, pair, span, twain, twin, twosome, yoke
3	Three	deuce-ace, leash, set, tercet, ternary, ternion, terzetto, threesome, tierce, trey, triad, trine, trinity, trio, triplet, troika, hat-trick
4	Four	foursome, quadruplet, quatern, quaternary, quaternity, quartet, tetrad
5	Five	cinque, fin, fivesome, pentad, quint, quintet, quintuplet
6	Six	half dozen, hexad, sestet, sextet, sextuplet, sise
7	Seven	heptad, septet, septuple
8	Eight	octad, octave, octet, octonary, octuplet, ogdoad
9	Nine	ennead
10	Ten	deca, decade
11	Eleven	onze, ounze, ounce
12	Twelve	dozen
13	Thirteen	baker's dozen, long dozen
14	Fourteen
15	Fifteen
16	Sixteen
17	Seventeen
18	Eighteen
19	Nineteen
20	Twenty	score
21	Twenty-one	long score
22	Twenty-two	Deuce-deuce
23	Twenty-three
24	Twenty-four	two dozen
25	Twenty-five
26	Twenty-six
27	Twenty-seven
28	Twenty-eight
29	Twenty-nine
30	Thirty
31	Thirty-one
32	Thirty-two
40	Forty	two-score
50	Fifty	half-century
60	Sixty	three-score
70	Seventy	three-score and ten
80	Eighty	four-score
87	Eighty-seven	four-score and seven
90	Ninety	four-score and ten
100	One hundred	centred, century, ton, short hundred
101	One hundred [and] one
110	One hundred [and] ten
111	One hundred [and] eleven
120	One hundred [and] twenty	long hundred, great hundred, (obsolete) hundred
121	One hundred [and] twenty-one
144	One hundred [and] forty-four	gross, dozen dozen, small gross
200	Two hundred
300	Three hundred
400	Four hundred
500	Five hundred
600	Six hundred
666	Six hundred [and] sixty-six	Number of the Beast
700	Seven hundred
777	Seven hundred [and] seventy-seven	Number of Luck
800	Eight hundred
900	Nine hundred
1000	One thousand	chiliad, grand, G, thou, yard, kilo, k, millennium
1001	One thousand [and] one
1010	One thousand [and] ten
1011	One thousand [and] eleven
1024	One thousand [and] twenty-four	kibi or kilo in computing, see binary prefix (kilo is shortened to K, Kibi to Ki)
1100	One thousand one hundred	Eleven hundred
1101	One thousand one hundred [and] one
1728	One thousand seven hundred [and] twenty-eight	great gross, long gross, dozen gross
2000	Two thousand
3000	Three thousand
10000	Ten thousand	myriad, wan (China)
100000	One hundred thousand	lakh
500000	Five hundred thousand	crore (Iranian)
1000000	One million	Mega, meg, mil, (often shortened to M)
1048576	One million forty-eight thousand five hundred [and] seventy-six	Mibi or Mega in computing, see binary prefix (Mega is shortened to M, Mibi to Mi)
10000000	Ten million	crore (Indian)(Pakistan)
100000000	One hundred million	yi (China)

English names for powers of 10

This table compares the English names of cardinal numbers according to various American, British, and Continental European conventions. See English numerals or names of large numbers for more information on naming numbers.

	Short scale	Long scale		Power
Value	American	British (Nicolas Chuquet)	Continental European (Jacques Peletier du Mans)	of a thousand	of a million
100	One			1000−1+1	10000000
101	Ten
102	Hundred
103	Thousand			10000+1	10000000.5
106	Million			10001+1	10000001
109	Billion	Thousand million	Milliard	10002+1	10000001.5
1012	Trillion	Billion		10003+1	10000002
1015	Quadrillion	Thousand billion	Billiard	10004+1	10000002.5
1018	Quintillion	Trillion		10005+1	10000003
1021	Sextillion	Thousand trillion	Trilliard	10006+1	10000003.5
1024	Septillion	Quadrillion		10007+1	10000004
1027	Octillion	Thousand quadrillion	Quadrilliard	10008+1	10000004.5
1030	Nonillion	Quintillion		10009+1	10000005
1033	Decillion	Thousand quintillion	Quintilliard	100010+1	10000005.5
1036	Undecillion	Sextillion		100011+1	10000006
1039	Duodecillion	Thousand sextillion	Sextilliard	100012+1	10000006.5
1042	Tredecillion	Septillion		100013+1	10000007
1045	Quattuordecillion	Thousand septillion	Septilliard	100014+1	10000007.5
1048	Quindecillion	Octillion		100015+1	10000008
1051	Sexdecillion	Thousand octillion	Octilliard	100016+1	10000008.5
1054	Septendecillion	Nonillion		100017+1	10000009
1057	Octodecillion	Thousand nonillion	Nonilliard	100018+1	10000009.5
1060	Novemdecillion	Decillion		100019+1	100000010
1063	Vigintillion	Thousand decillion	Decilliard	100020+1	100000010.5
1066	Unvigintillion	Undecillion		100021+1	100000011
1069	Duovigintillion	Thousand undecillion	Undecilliard	100022+1	100000011.5
1072	Trevigintillion	Duodecillion		100023+1	100000012
1075	Quattuorvigintillion	Thousand duodecillion	Duodecilliard	100024+1	100000012.5
1078	Quinvigintillion	Tredecillion		100025+1	100000013
...	...	...		...	...
1093	Trigintillion	Thousand quindecillion	Quindecilliard	100030+1	100000015.5
...	...	...		...	...
10120	Novemtrigintillion	Vigintillion		100039+1	100000020
10123	Quadragintillion	Thousand vigintillion	Vigintilliard	100040+1	100000020.5
...	...	...		...	...
10153	Quinquagintillion	Thousand quinvigintillion	Quinvigintilliard	100050+1	100000025.5
...	...	...		...	...
10180	Novemquinquagintillion	Trigintillion		100059+1	100000030
10183	Sexagintillion	Thousand trigintillion	Trigintilliard	100060+1	100000030.5
...	...	...		...	...
10213	Septuagintillion	Thousand quintrigintillion	Quintrigintilliard	100070+1	100000035.5
...	...	...		...	...
10240	Novemseptuagintillion	Quadragintillion		100079+1	100000040
10243	Octogintillion	Thousand quadragintillion	Quadragintilliard	100080+1	100000040.5
...	...	...		...	...
10273	Nonagintillion	Thousand quinquadragintillion	Quinquadragintilliard	100090+1	100000045.5
...	...	...		...	...
10300	Novemnonagintillion	Quinquagintillion		100099+1	100000050
10303	Centillion	Thousand quinquagintillion	Quinquagintilliard	1000100+1	100000050.5
...		...		...	...
10360		Sexagintillion		1000119+1	100000060
10420		Septuagintillion		1000139+1	100000070
10480		Octogintillion		1000159+1	100000080
10540		Nonagintillion		1000179+1	100000090
10600		Centillion		1000199+1	1000000100
10603	Ducentillion	Thousand centillion	Centilliard	1000200+1	1000000100.5

There is no consistent and widely accepted way to extend cardinals beyond centillion (centilliard).

Proposed systematic names for powers of 10

Myriad system

Proposed by Donald E. Knuth:

Value	Name	Notation
100	One	1
101	Ten	10
102	Hundred	100
103	Ten hundred	1000
104	Myriad	1,0000
105	Ten myriad	10,0000
106	Hundred myriad	100,0000
107	Ten hundred myriad	1000,0000
108	Myllion	1;0000,0000
1012	Myriad myllion	1,0000;0000,0000
1016	Byllion	1:0000,0000;0000,0000
1024	Myllion byllion	1;0000,0000:0000,0000;0000,0000
1032	Tryllion	1'0000,0000;0000,0000:0000,0000;0000,0000
1064	Quadryllion	1'0000,0000;0000,0000:0000,0000;0000,0000'0000,0000;0000,0000:0000,0000;0000,0000
10128	Quintyllion
10256	Sextyllion
10512	Septyllion
101024	Octyllion
102048	Nonyllion
104096	Decyllion
108192	Undecyllion
1016,384	Duodecyllion
1032,768	Tredecyllion
1065,536	Quattuordecyllion
10131,072	Quindecyllion
10262,144	Sexdecyllion
10524,288	Septendecyllion
101,048,576	Octodecyllion
102,097,152	Novemdecyllion
${10}^{\,\! 4\cdot 2^{20}}$	Vigintyllion
${10}^{\,\! 4\cdot 2^{30}}$	Trigintyllion
${10}^{\,\! 4 \cdot 2^{40}}$	Quadragintyllion
${10}^{\,\! 4 \cdot 2^{50}}$	Quinquagintyllion
${10}^{\,\! 4 \cdot 2^{60}}$	Sexagintyllion
${10}^{\,\! 4 \cdot 2^{70}}$	Septuagintyllion
${10}^{\,\! 4 \cdot 2^{80}}$	Octogintyllion
${10}^{\,\! 4 \cdot 2^{90}}$	Nonagintyllion
${10}^{\,\! 4 \cdot 2^{100}}$	Centyllion
${10}^{\,\! 4 \cdot 2^{1000}}$	Millyllion
${10}^{\,\! 4 \cdot 2^{10,000}}$	Myryllion

SI-derived

Value	1000m	SI prefix	Name	Binary prefix	1024m=210m	Value
1000	10001	k	Kilo	Ki	10241	1 024
1000000	10002	M	Mega	Mi	10242	1 048 576
1000000000	10003	G	Giga	Gi	10243	1 073 741 824
1000000000000	10004	T	Tera	Ti	10244	1 099 511 627 776
1000000000000000	10005	P	Peta	Pi	10245	1 125 899 906 842 624
1000000000000000000	10006	E	Exa	Ei	10246	1 152 921 504 606 846 976
1000000000000000000000	10007	Z	Zetta	Zi	10247	1 180 591 620 717 411 303 424
1000000000000000000000000	10008	Y	Yotta	Yi	10248	1 208 925 819 614 629 174 706 176

Fractional numbers

Main article: Fraction (mathematics)

This is a table of English names for positive rational numbers less than or equal to 1. It also lists alternative names, but there is no widespread convention for the names of extremely small positive numbers.

Keep in mind that rational numbers like 0.12 can be represented in infinitely many ways, e.g. zero-point-one-two (0.12), twelve percent (12%), three twenty-fifths (3/25), nine seventy-fifths (9/75), six fiftieths (6/50), twelve hundredths (12/100, twenty-four two-hundredths (24/200), etc.

Value	Fraction	Common names	Alternative names
1	1/1	One	0.999..., Unity
0.9	9/10	Nine tenths, [zero] point nine
0.8	4/5	Four fifths, eight tenths, [zero] point eight
0.7	7/10	Seven tenths, [zero] point seven
0.6	3/5	Three fifths, six tenths, [zero] point six
0.5	1/2	One half, five tenths, [zero] point five
0.4	2/5	Two fifths, four tenths, [zero] point four
0.333333...	1/3	One third
0.3	3/10	Three tenths, [zero] point three
0.25	1/4	One quarter, one fourth, twenty-five hundredths, [zero] point two five
0.2	1/5	One fifth, two tenths, [zero] point two
0.166666...	1/6	One sixth
0.142857142857...	1/7	One seventh
0.125	1/8	One eighth, one-hundred-[and-]twenty-five thousandths, [zero] point one two five
0.111111...	1/9	One ninth
0.1	1/10	One tenth, [zero] point one	One perdecime, one perdime
0.090909...	1/11	One eleventh
0.09	9/100	Nine hundredths, [zero] point zero nine
0.083333...	1/12	One twelfth
0.08	2/25	Two twenty-fifths, eight hundredths, [zero] point zero eight
0.0625	1/16	One sixteenth, six-hundred-[and-]twenty-five ten-thousandths, [zero] point zero six two five
0.05	1/20	One twentieth, [zero] point zero five
0.047619047619...	1/21	One twenty-first
0.045454545...	1/22	One twenty-second
0.043478260869565217391304347...	1/23	One twenty-third
0.033333...	1/30	One thirtieth
0.016666...	1/60	One sixtieth	One minute
0.012345679012345679...	1/81	One eighty-first
0.01	1/100	One hundredth, [zero] point zero one	One percent
0.001	1/1000	One thousandth, [zero] point zero zero one	One permille
0.000277777...	1/3600	One thirty-six hundredth	One second
0.0001	1/10000	One ten-thousandth, [zero] point zero zero zero one	One myriadth, one permyria, one permyriad, one basis point
0.00001	1/100000	One hundred-thousandth	One lakhth, one perlakh
0.000001	1/1000000	One millionth	One perion, one ppm
0.0000001	1/10000000	One ten-millionth	One crorth, one percrore
0.00000001	1/100000000	One hundred-millionth	One awkth, one perawk
0.000000001	1/1000000000	One billionth (in some dialects)	One ppb
0	0/1	Zero	Nil

Irrational and suspected irrational numbers

Main article: irrational number

Algebraic numbers

Main article: Algebraic number

Expression	Approximate value	Notes
√3/4	0.433012701892219323381861585376	Area of an equilateral triangle with side length 1.
√5 − 1/2	0.618033988749894848204586834366	Golden ratio conjugate Φ, reciprocal of and one less than the golden ratio.
√3/2	0.866025403784438646763723170753	Height of an equilateral triangle with side length 1.
12√2	1.059463094359295264561825294946	Twelfth root of two. Proportion between the frequencies of adjacent semitones in the equal temperament scale.
3√2/4	1.060660171779821286601266543157	The size of the cube that satisfies Prince Rupert's cube.
3√2	1.259921049894873164767210607278	Cube root of two. Length of the edge of a cube with volume two. See doubling the cube for the significance of this number.
—	1.303577269034296391257099112153	Conway's constant, defined as the unique positive real root of a certain polynomial of degree 71.
$\sqrt[3]{\frac{1}{2}+\frac{1}{6}\sqrt{\frac{23}{3}}}+\sqrt[3]{\frac{1}{2}-\frac{1}{6}\sqrt{\frac{23}{3}}}$	1.324717957244746025960908854478	Plastic number, the unique real root of the cubic equation x3 = x + 1.
√2	1.414213562373095048801688724210	√2 = 2 sin 45° = 2 cos 45° Square root of two a.k.a. Pythagoras' constant. Ratio of diagonal to side length in a square. Proportion between the sides of paper sizes in the ISO 216 series (originally DIN 476 series).
$\frac{1}{3}+\frac{2}{3\sqrt[3]{116+12\sqrt{93}}}+\frac{1}{6}\sqrt[3]{116+12\sqrt{93}}$	1.465571231876768026656731225220	The limit to the ratio between subsequent numbers in the binary Look-and-say sequence.
$\frac{\sqrt{5+2\sqrt{5}}}{2}$	1.538841768587626701285145288018	Altitude of a regular pentagon with side length 1.
√17 − 1/2	1.561552812808830274910704927987	The Triangular root of 2.
√5 + 1/2	1.618033988749894848204586834366	Golden ratio (φ), the larger of the two real roots of x2 = x + 1.
$\frac{5}{4\sqrt{5-2\sqrt{5}}}$	1.720477400588966922759011977389	Area of a regular pentagon with side length 1.
√3	1.732050807568877293527446341506	√3 = 2 sin 60° = 2 cos 30° Square root of three a.k.a. the measure of the fish. Length of the space diagonal of a cube with edge length 1. Length of the diagonal of a 1 × √2 rectangle. Altitude of an equilateral triangle with side length 2. Altitude of a regular hexagon with side length 1 and diagonal length 2.
$\frac{1+\sqrt[3]{19+3\sqrt{33}}+\sqrt[3]{19-3\sqrt{33}}}{3}$	1.839286755214161132551852564653	The Tribonacci constant. Used in the formula for the volume of the snub cube and properties of some of its dual polyhedra. It satisfies the equation x + x−3 = 2.
√5	2.236067977499789696409173668731	Square root of five. Length of the diagonal of a 1 × 2 rectangle. Length of the diagonal of a √2 × √3 rectangle. Length of the space diagonal of a 1 × √2 × √2 rectangular box.
√2 + 1	2.414213562373095048801688724210	Silver ratio (δS), the larger of the two real roots of x2 = 2x + 1. Altitude of an regular octagon with side length 1.
√6	2.449489742783178098197284074706	√2 · √3 = area of a √2 × √3 rectangle. Length of the space diagonal of a 1 × 1 × 2 rectangular box. Length of the diagonal of a 1 × √5 rectangle. Length of the diagonal of a 2 × √2 rectangle. Length of the diagonal of a square with side length √3.
3√3/2	2.598076113533159402911695122588	Area of a regular hexagon with side length 1.
√7	2.645751311064590590501615753639	Length of the space diagonal of a 1 × 2 × √2 rectangular box. Length of the diagonal of a 1 × √6 rectangle. Length of the diagonal of a 2 × √3 rectangle. Length of the diagonal of a √2 × √5 rectangle.
√8	2.828427124746190097603377448419	2√2 Volume of a cube with edge length √2. Length of the diagonal of a square with side length 2. Length of the diagonal of a 1 × √7 rectangle. Length of the diagonal of a √2 × √6 rectangle. Length of the diagonal of a √3 × √5 rectangle.
√10	3.162277660168379331998893544433	√2 · √5 = area of a √2 × √5 rectangle. Length of the diagonal of a 1 × 3 rectangle. Length of the diagonal of a 2 × √6 rectangle. Length of the diagonal of a √3 × √7 rectangle. Length of the diagonal of a square with side length √5.
√11	3.316624790355399849114932736671	Length of the space diagonal of a 1 × 1 × 3 rectangular box. Length of the diagonal of a 1 × √10 rectangle. Length of the diagonal of a 2 × √7 rectangle. Length of the diagonal of a 3 × √2 rectangle. Length of the diagonal of a √3 × √8 rectangle. Length of the diagonal of a √5 × √6 rectangle.
√12	3.464101615137754587054892683012	2√3 Length of the space diagonal of a cube with edge length 2. Length of the diagonal of a 1 × √11 rectangle. Length of the diagonal of a 2 × √8 rectangle. Length of the diagonal of a 3 × √3 rectangle. Length of the diagonal of a √2 × √10 rectangle. Length of the diagonal of a √5 × √7 rectangle. Length of the diagonal of a square with side length √6.

Transcendental numbers

Main article: Transcendental number

• (−1)ⁱ = e^−π = 0.0432139183...
• Liouville constant: c = 0.110001000000000000000001000...
• Champernowne constant: C₁₀ = 0.12345678910111213141516...
• iⁱ = √e^−π = 0.207879576...
• 1/π = 0.318309886183790671537767526745028724068919291480...
• 1/e = 0.367879441171442321595523770161460867445811131031...
• Prouhet–Thue–Morse constant: τ = 0.412454033640...
• log₁₀ e = 0.434294481903251827651128918916605082294397005803...
• Omega constant: Ω = 0.5671432904097838729999686622...
• Cahen's constant: c = 0.64341054629...
• ln 2: 0.693147180559945309417232121458...
• π/√18 = 0.7404... the maximum density of sphere packing in three dimensional Euclidean space according to the Kepler conjecture
• Gauss's constant: G = 0.8346268...
• π/√12 = 0.9068..., the fraction of the plane covered by the densest possible circle packing
• eⁱ + e⁻ⁱ = 2 cos 1 = 1.08060461...
• π⁴/90 = ζ(4) = 1.082323...
• √2_s: 1.559610469...
• log₂ 3: 1.584962501... (the logarithm of any positive integer to any integer base greater than 1 is either rational or transcendental)
• Gaussian integral: √π = 1.772453850905516...
• Komornik–Loreti constant: q = 1.787231650...
• Universal parabolic constant: P₂ = 2.29558714939...
• Gelfond–Schneider constant: √2^√2 = 2.665144143...
• e = 2.718281828459045235360287471353...
• π = 3.141592653589793238462643383279...
• ⁱ√i = √e^π = 4.81047738...
• Tau, or 2π: τ = 6.283185307179586..., The ratio of the circumference to a radius, and the number of radians in a complete circle
• Gelfond's constant: 23.14069263277925...
• Ramanujan's constant: e^π√163 = 262537412640768743.99999999999925...

Suspected transcendentals

• Z(1): −0.736305462867317734677899828925614672...
• Heath-Brown–Moroz constant: C = 0.001317641...
• Kepler–Bouwkamp constant: 0.1149420448...
• MRB constant: 0.187859...
• Meissel–Mertens constant: M = 0.2614972128476427837554268386086958590516...
• Bernstein's constant: β = 0.2801694990...
• Strongly carefree constant: 0.286747...
• Gauss–Kuzmin–Wirsing constant: λ₁ = 0.3036630029...
• Hafner–Sarnak–McCurley constant: 0.3532363719...
• Artin's constant: 0.3739558136...
• Prime constant: ρ = 0.414682509851111660248109622...
• Carefree constant: 0.428249...
• S(1): 0.438259147390354766076756696625152...
• F(1): 0.538079506912768419136387420407556...
• Stephens' constant: 0.575959...
• Euler–Mascheroni constant: γ = 0.577215664901532860606512090082...
• Golomb–Dickman constant: λ = 0.62432998854355087099293638310083724...
• Twin prime constant: C₂ = 0.660161815846869573927812110014...
• Copeland–Erdős constant: 0.235711131719232931374143...
• Feller-Tornier constant: 0.661317...
• Laplace limit: ε = 0.6627434193...[1]
• Taniguchi's constant: 0.678234...
• Continued Fraction Constant: C = 0.697774657964007982006790592551...
• Embree–Trefethen constant: β* = 0.70258...
• Sarnak's constant: 0.723648...
• Landau–Ramanujan constant: 0.76422365358922066299069873125...
• C(1): 0.77989340037682282947420641365...
• 1/ζ(3) = 0.831907..., the probability that three random numbers have no common factor greater than 1.
• Brun's constant for prime quadruplets: B₂ = 0.8705883800...
• Quadratic class number constant: 0.881513...
• Catalan's constant: G = 0.915965594177219015054603514932384110774...
• Viswanath's constant: σ(1) = 1.1319882487943...
• ζ(3) = 1.202056903159594285399738161511449990764986292..., also known as Apéry's constant, known to be irrational, but not known whether or not it is transcendental.
• Vardi's constant: E = 1.264084735305...
• Glaisher–Kinkelin constant: A = 1.28242712...
• Mills' constant: A = 1.30637788386308069046...
• Totient summatory constant: 1.339784...
• Ramanujan–Soldner constant: μ = 1.451369234883381050283968485892027449493...
• Backhouse's constant: 1.456074948...
• Favard constant: K₁ = 1.57079633...
• Erdős–Borwein constant: E = 1.606695152415291763...
• Somos' quadratic recurrence constant: σ = 1.661687949633594121296...
• Niven's constant: c = 1.705211...
• Brun's constant: B₂ = 1.902160583104...
• Landau's totient constant: 1.943596...
• exp(−W₀(−ln(³√3))) = 2.47805268028830..., the smaller solution to 3^x = x³ and what, when put to the root of itself, is equal to 3 put to the root of itself.
• Second Feigenbaum constant: α = 2.5029...
• Sierpiński's constant: K = 2.5849817595792532170658936...
• Barban's constant: 2.596536...
• Khinchin's constant: K₀ = 2.685452001...[2]
• Khinchin–Lévy constant: 1.1865691104...[3]
• Fransén–Robinson constant: F = 2.8077702420...
• Murata's constant: 2.826419...
• Lévy's constant: γ = 3.275822918721811159787681882...
• Reciprocal Fibonacci constant: ψ = 3.359885666243177553172011302918927179688905133731...
• Van der Pauw's constant: π/ln 2 = 4.53236014182719380962...
• First Feigenbaum constant: δ = 4.6692...

Numbers not known with high precision

• Landau's constant: 0.4330 < B < 0.472
• Bloch's constant: 0.4332 < B < 0.4719
• Landau's constant: 0.5 < L < 0.544
• Landau's constant: 0.5 < A < 0.7853
• Grothendieck constant: 1.57 < k < 2.3

Hypercomplex numbers

Main article: Hypercomplex number

Algebraic complex numbers

• Imaginary unit: i = √−1
• nth roots of unity: ξ^k_n = cos (2π k/n) + i sin (2π k/n)

Other hypercomplex numbers

• The quaternions
• The octonions
• The sedenions
• The dual numbers (with an infinitesimal)

Transfinite numbers

Main article: Transfinite number

• Infinity in general: ∞
• Aleph-null: ℵ₀: the smallest infinite cardinal, and the cardinality of ℕ, the set of natural numbers
• Aleph-one: ℵ₁: the cardinality of ω₁, the set of all countable ordinal numbers
• Beth-one: ℶ₁ the cardinality of the continuum 2^ℵ₀
• ℭ or $\mathfrak c$: the cardinality of the continuum 2^ℵ₀
• omega: ω, the smallest infinite ordinal

Numbers representing measured quantities

• Pair: 2 (the base of the binary numeral system)
• Dozen: 12 (the base of the duodecimal numeral system)
• Baker's dozen: 13
• Score: 20 (the base of the vigesimal numeral system)
• Gross: 144 (= 12²)
• Great gross: 1728 (= 12³)

Numbers representing physical quantities

• Avogadro constant: N_A = 6.0221417930×10²³ mol⁻¹
• Coulomb's constant: k_e = 8.987551787368×10⁹ N·m²/C² (m/F)
• Electronvolt: eV = 1.60217648740×10⁻¹⁹ J
• Electron relative atomic mass: A_r(e) = 0.0005485799094323...
• Fine structure constant: α = 0.007297352537650...
• Gravitational constant: G = 6.67384×10⁻¹¹ N·(m/kg)²
• Molar mass constant: M_u = 0.001 kg/mol
• Planck constant: h = 6.6260689633×10⁻³⁴ J · s
• Rydberg constant: R_∞ = 10973731.56852773 m⁻¹
• Speed of light in vacuum: c = 299792458 m/s
• Stefan-Boltzmann constant: σ = 5.670400×10⁻⁸ W · m⁻² · K⁻⁴

Numbers without specific values

Main article: Indefinite and fictitious numbers

See also

• English-language numerals
• Floating point
• Fraction (mathematics)
• Integer sequence
• Interesting number paradox
• Large numbers
• List of numbers in various languages
• List of prime numbers
• List of types of numbers
• Mathematical constant
• Names of large numbers
• Names of small numbers

• Negative number
• Number prefix
• Numeral (linguistics)
• Orders of magnitude (numbers)
• Ordinal number
• The Penguin Dictionary of Curious and Interesting Numbers
• Power of two
• Powers of 10
• SI prefix
• Small number
• Surreal number
• Table of prime factors

Further reading

• Kingdom of Infinite Number: A Field Guide by Bryan Bunch, W.H. Freeman & Company, 2001. ISBN 0-7167-4447-3

External links

• The Database of Number Correlations: 1 to 2000+
• What's Special About This Number? A Zoology of Numbers: from 0 to 500
• See how to write big numbers
• The MegaPenny Project – Visualizing big numbers
• About big numbers
• Robert P. Munafo's Large Numbers page
• Different notations for big numbers – by Susan Stepney
• Names for Large Numbers, in How Many? A Dictionary of Units of Measurement by Russ Rowlett
• What's Special About This Number? (from 0 to 9999)

• http://mathworld.wolfram.com/Hardy-RamanujanNumber.html
• The shipmaster's assistant, and commercial digest
• "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 27.
• "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 29.
• "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 30.
• "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 33.
• http://www.qbyte.org/puzzles/p029s.html
• "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 69
• Sequence  A019692.
•  A065473
• Weisstein, Eric W., "Gauss-Kuzmin-Wirsing Constant", MathWorld.
•  A065464
•  A065478
•  A065493
•  A175639
• http://mathworld.wolfram.com/ContinuedFractionConstant.html
•  A065476
•  A065465
• "The Penguin Dictionary of Curious and Interesting Numbers" by David Wells, page 33
•  A065483
•  A082695
•  A166928
•  A175640
•  A065485
•  A163973