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Googology Wiki

Googoldeciplex in zeroes

The googoldeciplex (also known as googoldekaplex or googolplexplexplexplexplexplexplexplexplexplex) is equal to E100#11 = EEEEEEEEEEE100 in Hyper-E notation.[1]

It is also equal to 1010101010101010101010100, or a 1 followed by a googolnoniplex (googolplexplexplexplexplexplexplexplexplex) zeroes. It is 10101010101010101010100+1 digits long.

Writing down the full decimal expansion would take 10101010101010101010100-6 books of 400 pages each, with 2,500 digits on each page (except for the first, which would have 2,501).


The name of this number is based on SI prefix "deci-" and the number "googolplex".

Approximations in other notations

Notation Approximation
Up-arrow notation \(57 \uparrow \uparrow 12\)
Chained arrow notation \(57 \rightarrow 12 \rightarrow 2 \)
Hyper-E notation \(\textrm{E}100\#11\) (exact)
Hyperfactorial array notation \(15!1\)
BEAF \(\{57,12,2\}\)
Fast-growing hierarchy \(f^{11}_2(326)\) ~ \(f_3(11)\)
Hardy hierarchy \(H_{\omega^2{11}}(324)\)
Slow-growing hierarchy \(g_{\varepsilon_0}(12)\)


See also