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Googology Wiki is an online encyclopedia and community dedicated to large numbers.

Welcome to the Internet's most comprehensive database of large numbers and fast-growing functions. We have made 21,148 articles since December 5, 2008. If you're fascinated by numbers like micrillion or ginorgol-carta-tethriterator, why not help us out? We encourage you to edit! As of December 5, 2024, Googology Wiki is now 16 years old and going strong!

(Googology in other languages: Česky · Deutsch · Español · Français · 日本語 · Nederlands · Русский · 한국어 · 中文 · Українська

New to big numbers?

Googology is the mathematical study of large numbers and fast-growing functions, as well as their properties and nomenclature. If you're interested in the subject, but you don't know where to start, try reading about some basic functions and ideas:

Short essay on the foundations and history of the field
Googol and googolplex
Tetration
Arrow notation
Graham's number
Introduction to Googology blog post by Sbiis Saibian
List of googolisms and functions

Also, be sure to check out the links below.

Around the Wiki

Article Count Progress

We have reached 0% of our goal of 10¹⁰⁰ articles!

Quote

Because some years previously in 1886 when occupied with the problem of the quadrature of the circle he had learned of the existence of a number computed to a relative degree of accuracy to be of such magnitude and of so many places, e. g., the 9th power of the 9th power of 9, that, the result having been obtained, 33 closely printed volumes of 1000 pages each of innumerable quires and reams of India paper would have to be requisitioned in order to contain the complete tale of its printed integers of units, tens, hundreds, thousands, tens of thousands, hundreds of thousands, millions, tens of millions, hundreds of millions, billions, the nucleus of the nebula of every digit of every series containing succinctly the potentiality of being raised to the utmost kinetic elaboration of any power of any of its powers.

—James Joyce^[src]

Contributing

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GoogolNews™

December 5, 2024: Googology Wiki turned 16 years old!
November 29, 2024 We reached the 21,000-th article!
November 17, 2024: Polish Googology Wiki https://googologia-po-polsku.fandom.com/pl/wiki/Googologia_Po_Polsku_Wiki has been launched on fandom.
October 28, 2024: A Russian court ordered Google to pay compensation to blocked Russian state TV channels, amounting to 2 undecillion rubles.
October 21, 2024: The new largest known prime, 2^136,279,841-1 was discovered after nearly 6 years!
July 2, 2024: FF(5) or S(5) = 47,176,870 was proved.
June 7, 2024: This is a SUPER MILESTONE!!! We finally reached our 20,000th article!!!
May 5, 2024: We finally reached our 19,000-th article!
January 1, 2024: Happy New Year, 2024!

More news...

Links

This is a compilation of websites that may be of interest to large number enthusiasts.

For beginners

What is googology? Genspark (AI) collected and summarized information on googology. Recommended for beginners to get some background information.
Large numbers increasing Douglas Shamlin Jr.'s video series about increasing numbers. It goes from zero to numbers described using Bird's array notation. Recommended for beginners.
One to Infinity: A Guide to the Finite by Sbiis Saibian/(user), a guided tour of googology and number systems. Recommended for beginners.
Large Numbers by Robert Munafo. Recommended for beginners.

Sites

Aarex Googology by Aarex Tiaokhiao/(user (inactive))
Big Number Central by Jonathan Bowers
Notable Properties of Specific Numbers by Robert Munafo
Super Huge Numbers (main site) by Chris Bird
Pointless Large Number Stuff by wiki user cookiefonster
Big Number Duel by Agustín Rayo
Hayden's Big Numbers by wiki user HaydenTheGoogologist2009
Pointless Googolplex Stuffs and ExE ultimate googolism generator by wiki user DeepLineMadom
AR Googol by wiki user ARsygo
Who Can Name the Bigger Number? by Scott Aaronson
Turing Machine Simulator by Anthony Morphett
CompactStar's Googology by wiki user CompactStar

Impossible Numbers by wiki user Antfarmerguys

Subreddits

r/googology
r/Scholar

Ordinals

Ordinal Explorer by wiki user Rgetar
An interactive diagram for ordinals up to \(\varepsilon_{\varepsilon_0}\)

Non-wiki googology links in other languages

大数入门 for those who know Chinese. Beware though, the article contains tons of mistakes.
Large Number in pixiv dictionary for those who know Japanese.

Miscellany

Googol Maps 2.0 (year - size) by wiki user Koteitan