Googolquinplex in zeroes

A googolquinplex or googolquintiplex or googolpentaplex or googolplexplexplexplexplex[1] is one with a googolquadriplex zeroes after it, or 101010101010100.[2][3] In Hyper-E Notation it can be written E100#6.[4] In down-arrow notation it can also be written \(10 \downarrow\downarrow (10^{10^{10^{10^{100}}}}+1)\). It is 1010101010100+1 digits long.

Writing down the full decimal expansion would take 1010101010100-6 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 "quin-" and the number "googolplex".

Approximations in other notations

Notation Approximation
Up-arrow notation \(57 \uparrow \uparrow 7\)
Chained arrow notation \(57 \rightarrow 7 \rightarrow 2 \)
Hyper-E notation \(\textrm{E}100\#6\) (exact)
Hyperfactorial array notation \(10!1\)
BEAF \(\{57,7,2\}\)
Fast-growing hierarchy \(f_3(7)\)
Hardy hierarchy \(H_{\omega^2\times 6}(324)\)
Slow-growing hierarchy \(g_{\varepsilon_0}(7)\)

Sources

See also

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