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Googoloctiplex

Googoloctiplex in zeroes

The 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.

It is also equal to

Etymology

The name of this number is based on Latin prefix "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 \(E100\#9\)
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

  1. Hyper-E Notation - Large Numbers by Sbiis Saibian

See also