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"Googoltetraplex" redirects here. It is not to be confused with googolteraplex.

A googolquadriplex is a number equal to one with a googoltriplex zeroes after it, or 1010101010100.[1] The term was coined by Sbiis Saibian. There are a few variants of the name of this number, which are unofficially coined by others or are just refered to without sources: googolquadraplex,[2] googolplexianiteron,[3] and googolquadruplex.[4]

In Hyper-E Notation it can be written E100#5.[5][6] In down-arrow notation it can also be written $$10 \downarrow\downarrow (10^{10^{10^{100}}}+1)$$. It is 10101010100+1 digits long.

Writing down the full decimal expansion would take 10101010100-6 books of 400 pages each, with 2,500 digits on each page (except for the first, which would have 2,501).

Etymology

This word was made by combining "googol" (10100) + "quadri-" (4) + "-plex" (10n).

Other names

Using Aarex Tiaokhiao's -illion generalization of Nirvana's -illions, this number is approximately:[7]

one gijehapa'neate-gugarrijehapa'otte-gugarrijehapa'hepe-gugarrijehaprillion

DeepLineMadom calls the number troogolquadriplex, and is equal to 10[3]10[3]10[3]10[3]10[3]100 in DeepLineMadom's Array Notation[8].

Approximations in other notations

Notation Approximation
Up-arrow notation $$10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 10 \uparrow 100$$ (exact)
Chained arrow notation $$10 \rightarrow 10^{10^{10^{10^{100}}}}$$ (exact)
Hyper-E notation $$\textrm{E}100\#5$$ (exact)
Hyperfactorial array notation $$((((69!)!)!)!)!$$
BEAF $$\{10,\{10,\{10,\{10,\{10,100\}\}\}\}\}$$ (exact)
Fast-growing hierarchy $$f_2^5(326)$$
Hardy hierarchy $$H_{\omega^25}(326)$$
Slow-growing hierarchy $$g_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^2}}}}}}(10)$$ (exact)

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

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