Googology Wiki
Advertisement
Googology Wiki

View full site to see MathJax equation

Googolquinplex

Googolquinplex in zeroes

A googolquinplex or googolquintiplex or googolpentaplex or googolplexplexplexplexplex[1] is a number equal to one with a googolquadriplex zeroes after it, or 101010101010100.[2][3] In Hyper-E Notation it can be written E100#6.[4] In down-arrow notation it can also be written \(10 \downarrow\downarrow (10^{10^{10^{10^{100}}}}+1)\). It is 1010101010100+1 digits long.

Writing down the full decimal expansion would take 1010101010100-6 books of 400 pages each, with 2,500 digits on each page (except for the first, which would have 2,501).

Etymology[]

The name of this number is based on Latin prefix "quin-" and the number "googolplex".

Other names[]

Using Aarex Tiaokhiao's -illion generalization of Nirvana's -illions, this number is approximately:[5]

neg'triacontatryakisyn-gafa'hapa'neg'triacontadyakisyn-gafa'hapa'neg'triacontahenakisyn-gafa'hapa'neg'triacontakisillion

DeepLineMadom calls the number troogolquintiplex and troogolquinplex, and is equal to 10[3]10[3]10[3]10[3]10[3]10[3]100 in DeepLineMadom's Array Notation[6].

Approximations in other notations[]

Notation Approximation
Up-arrow notation \(57 \uparrow \uparrow 7\)
Chained arrow notation \(57 \rightarrow 7 \rightarrow 2 \)
Hyper-E notation \(\textrm{E}100\#6\) (exact)
Hyperfactorial array notation \(10!1\)
BEAF \(\{57,7,2\}\)
Fast-growing hierarchy \(f^6_2(326)\)
Hardy hierarchy \(H_{\omega^2\times 6}(324)\)
Slow-growing hierarchy \(g_{\varepsilon_0}(7)\)

Sources[]

See also[]

Googol and related numbers

Originals: googol · googolplex
Cockburn's examples: gargoogolplex · fzgoogolplex · (mega)fugagoogolplex
Googol-n-plex: googolduplex · googoltriplex · -quadriplex · -quinplex · -sextiplex · -septiplex · -octiplex · -noniplex · -deciplex · -centiplex
Googol-103n-plex: googolmilliplex · -megaplex · -gigaplex · -teraplex · -petaplex · -exaplex · -zettaplex · -yottaplex · -xennaplex · -vekaplex · -mekaplex
Bowers' extensions: giggol · gaggol · geegol · boogol · biggol · troogol · goobol · more...
Saibian's extensions: googol-minutia · googolchime · googoltoll · googolgong · grangol · greagol · gigangol · gugold · graatagold · gugolthra · throogol · godgahlah · tethrathoth · more...
Miscellany: googolbang (10100!) · googolminex (10^-10100) · googolteen · googolty · great googol(plex) · gooprol · little googol/googolbit · zootzootplex

Advertisement