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Googoloctiplex in zeroes

Googoloctiplex, googoloktoplex, or googolplexplexplexplexplexplexplexplex is equal to E100#9 = EEEEEEEEE100  in Hyper-E notation.[1]

It is also equal to \(^{10}10^{2}\) = 101010101010101010100, or one followed by googolseptiplex (googolplexplexplexplexplexplexplex) zeros. It is 1010101010101010100+1 digits long.

Writing down the full decimal expansion would take 1010101010101010100-6 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 infix "octi-" and the number "googolplex".

Approximations in other notations

Notation Approximation
Up-arrow notation \(57 \uparrow \uparrow 10\)
Chained arrow notation \(57 \rightarrow 10 \rightarrow 2 \)
Hyper-E notation \(\textrm{E}100\#9\) (exact)
Hyperfactorial array notation \(13!1\)
BEAF \(\{57,10,2\}\)
Fast-growing hierarchy \(f_3(10)\)
Hardy hierarchy \(H_{\omega^29}(324)\)
Slow-growing hierarchy \(g_{\varepsilon_0}(10)\)

Sources

See also

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