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

Googolquadriplex in zeroes

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 several variants of the name of this number, which are unofficially coined by others or are just refered to without sources: googolquadraplex,[citation needed] googoltetraplex,[citation needed] googolplexplexplexplex,[citation needed] googolduplexian,[citation needed] googolplexianiteron,[citation needed] and googolquadruplex by Ravi Kulkarni.[2]

In Hyper-E Notation it can be written E100#5.[3][4] 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).

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 \(f_2^{5}(324)\)
Hardy hierarchy \(H_{\omega^25}(324)\)
Slow-growing hierarchy \(g_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^2}}}}}}(10)\) (exact)

Sources

See also

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