List of numbers


List of numbers

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

Rational numbers

Notable rational numbers

Natural numbers

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

Proposed systematic names for powers of 10

Gillion system

As proposed by Russ Rowlett, based on Greek-derived numerical prefixes: |

SI-derived

Transcendental numbers

* Khinchin-Lévy constant: 1.186 569 110 4... [http://mathworld.wolfram.com/Khinchin-LevyConstant.html]
* Euler's number: e = 2.718 281 828 459 045 235 360 287 471 353 ...
* Pi: π = 3.141 592 653 589 793 238 462 643 383 279 ...

uspected transcendentals

* Euler-Mascheroni constant: γ = 0.577 215 664 901 532 860 606 512 090 082 ...
* Gauss-Kuzmin-Wirsing constant: 0.303 663 002 9... [http://mathworld.wolfram.com/Gauss-Kuzmin-WirsingConstant.html]
* Laplace limit: ε=0.662 743 419 3... [http://mathworld.wolfram.com/LaplaceLimit.html]
* Khinchin's constant: 2.685 452 001... [http://mathworld.wolfram.com/KhinchinsConstant.html]
* Feigenbaum constants: δ = 4.6692 ... and α = 2.5029 ...

Numbers not known with high precision

Grothendieck constant: between 1.67 and 1.79

Hypercomplex numbers

Algebraic complex numbers

* Imaginary unit: i = sqrt{-1}

Other hypercomplex numbers

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

Transfinite numbers

* Infinity in general: infty
* Aleph-null: aleph_0
* Aleph-one: aleph_1
* Beth-one: (eth_1) is the cardinality of the continuum: 2^{aleph_0}

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)
* Avogadro's number: NA = 6.022... imes 10^{23}

Numbers without specific values

Bases

* Base -3 (negaternary)
* Base -2 (negabinary)
* Base 1 (unary)
* Base 2 (binary)
* Base 3 (ternary or trinary, see also balanced ternary)
* Base 4 (quaternary)
* Base 5 (quinary)
* Base 6 (senary or heximal)
* Base 7 (septenary)
* Base 8 (octal)
* Base 9 (nonary)
* Base 10 (decimal)
* Base 12 (duodecimal or dozenal)
* Base 13 (tridecimal or tredecimal)
* Base 16 (hexadecimal)
* Base 20 (vigesimal)
* Base 24 (quadrovigesimal)
* Base 26 (hexavigesimal)
* Base 27 (septemvigesimal)
* Base 30 (trigesimal)
* Base 32 (duotrigesimal)
* Base 36 (hexatridecimal, sexatrigesimal or hexatrigesimal)
* Base 60 (sexagesimal)
* Base 64 (quadrosexagesimal)
* mixed radix
* Base φ (phinary)
* Base 2i (quater-imaginary)See also "positional systems" of numeral system for bases which might not be listed here.

ee also


* English-language numerals
* Numbers in various languages
* Floating point
* Fraction (mathematics)
* Interesting number paradox
* Large number
* List of prime numbers
* Mathematical constant
* Names of large numbers
* Negative number
* Number names
* Orders of magnitude (numbers)
* Ordinal number
* 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

* [http://www.archimedes-lab.org/numbers/Num1_69.html What's Special About This Number? A Zoology of Numbers: from 0 to 500]
* [http://www.mathcats.com/explore/reallybignumbers.html See how to write big numbers]
* [http://www.kokogiak.com/megapenny/ The MegaPenny Project - Visualizing big numbers]
* [http://pages.prodigy.net/jhonig/bignum/indx.html About big numbers]
* [http://home.earthlink.net/~mrob/pub/math/largenum.html Robert P. Munafo's Large Numbers page]
* [http://www-users.cs.york.ac.uk/~susan/cyc/b/big.htm Different notations for big numbers - by Susan Stepney]
* [http://www.unc.edu/~rowlett/units/large.html Names for Large Numbers] , in "How Many? A Dictionary of Units of Measurement" by Russ Rowlett
* [http://www.stetson.edu/~efriedma/numbers.html What's Special About This Number?] (from 0 to 9999)


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