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Not to be confused with googondol-ex-grand tethrathoth.

The googontethrathoth (also called googondol-carta-tethrathoth[1]) is equal to E100#^^#100#100#100#100#100#100#100#100#100#100 = E100#^^#100##10 in Extended Cascading-E Notation.[2] The term was coined by Sbiis Saibian.

Etymology

The name of this number is based on the numbers "googondol" and "tethrathoth".

Approximations in other notations

Notation Approximation
BEAF \(\{100,100,10 (X \uparrow\uparrow X) 2\}\)[3]
Bird's array notation \(\{100,100,10 [1 \backslash 2] 2\}\)
Hyperfactorial array notation \(100![10,1,1,1,2]\)
Fast-growing hierarchy \(f_{\varepsilon_0+9}(100)\)
Hardy hierarchy \(H_{\varepsilon_0 \omega^9}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\varepsilon_{\Omega2}+8)}(100)\)

Sources

  1. 4.3.7 Extended Cascading-E Numbers Part I by Sbiis Saibian
  2. 4.3.5 Cascading-E Numbers by Sbiis Saibian
  3. Using particular notation \(\{a,b (X \uparrow\uparrow X) 2\}\) for \(X \uparrow\uparrow b\ \&\ a\)
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