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Googolquintiplexidex is equal to E100#6#2 using Hyper-E notation.[1] This number belongs to the grangol regiment.

Etymology[]

The name googolquintiplexidex comes from the word googolquintiplex and the suffix -dex, so this number has a power tower of googolquintiplex terms high topped off with 100.

Approximations[]

Notation Lower bound Upper bound
Arrow notation \(10 \uparrow\uparrow (10 \uparrow)^6 101\) \(10 \uparrow\uparrow (10 \uparrow)^6 102\)
Chained arrow notation \(57 \rightarrow (57 \rightarrow 6 \rightarrow 2) \rightarrow 2\) \(57 \rightarrow (58 \rightarrow 6 \rightarrow 2) \rightarrow 2\)
BEAF & Bird's array notation \(\{57,\{57,6,2\},2\}\) \(\{57,\{58,6,2\},2\}\)
Hyperfactorial array notation (7!1)!1 (8!1)!1
Fast-growing hierarchy \(f_3(f_2^{6}(324))\) \(f_3(f_2^{6}(325))\)
Hardy hierarchy \(H_{(\omega^3)+\omega^2 \times 6}(324)\) \(H_{(\omega^3)+\omega^2 \times 6}(325)\)
Slow-growing hierarchy \(g_{\varepsilon_{\omega↑↑6}}(57)\) \(g_{\varepsilon_{\omega↑↑6}}(58)\)


Sources[]