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

A googolquadriplex (also called googolquadraplex, googoltetraplex, googolplexplexplexplex, googolduplexian or googolplexianiteron[1]) is a number equal to one with a googoltriplex zeroes after it, or 1010101010100.[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.

## 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 $$E100\#5$$ (exact)
Hyperfactorial array notation $$((((69!)!)!)!)!$$
BEAF $$\{10,\{10,\{10,\{10,\{10,100\}\}\}\}\}$$ (exact)
Fast-growing hierarchy $$f_2(f_2(f_2(f_2(f_2(324)))))$$
Hardy hierarchy $$H_{\omega^25}(324)$$
Slow-growing hierarchy $$g_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^2}}}}}}(10)$$ (exact)