Googolsextiplex in zeroes

The googolsextiplex, googolsexplex, or googolhexaplex is equal to \E100#7 = EEEEEEE100 in Hyper-E notation.[1]

It is also equal to 10101010101010100, or one followed by a googolquinplex (googolplexplexplexplexplex) zeros. It is 101010101010100+1 digits long.

Writing down the full decimal expansion would take 101010101010100-6 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 prefix "sexti-" and the number "googolplex".

Approximations in other notations

Notation Approximation
Up-arrow notation \(57 \uparrow \uparrow 8\)
Chained arrow notation \(57 \rightarrow 8 \rightarrow 2 \)
Hyper-E notation \(\textrm{E}100\#7\) (exact)
Hyperfactorial array notation \(11!1\)
BEAF \(\{57,8,2\}\)
Fast-growing hierarchy \(f_3(8)\)
Hardy hierarchy \(H_{\omega^27}(324)\)
Slow-growing hierarchy \(g_{\varepsilon_0}(8)\)

Sources

  1. Saibian, Sbiis. Hyper-E Numbers

See also

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