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Googolnoniplex

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.

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 \(E100\#10\)
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

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

See also