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Googolsextiplex

Googolsextiplex in zeroes

The googolsextiplex, googolsexplex, or googolhexaplex is equal to \(^{8}10^{2}\) or 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.

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 \(E100\#7\)
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