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Googolnoniplex in zeroes

The googolnoniplex (also known as googolenneaplex, googolnonaplex, or googolplexplexplexplexplexplexplexplexplex) is equal to E100#10 = EEEEEEEEEE100 in Hyper-E notation.[1]

It is also equal to \(^{11}10^{2}\) = 10101010101010101010100, or a 1 with a googoloctiplex zeroes. It is 101010101010101010100+1 digits long.

Writing down the full decimal expansion would take 101010101010101010100-6 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 "noni-" and the number "googolplex"

Approximations in other notations

Notation Approximation
Up-arrow notation \(57 \uparrow \uparrow 11\)
Chained arrow notation \(57 \rightarrow 11 \rightarrow 2 \)
Hyper-E notation \(\textrm{E}100\#10\) (exact)
Hyperfactorial array notation \(14!1\)
BEAF \(\{57,11,2\}\)
Fast-growing hierarchy \(f_3(11)\)
Hardy hierarchy \(H_{\omega^2{10}}(324)\)
Slow-growing hierarchy \(g_{\varepsilon_0}(11)\)

Sources

See also

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