The saranto-godgahlah is equal to E100#^#*#^#...#*#^#100 (40 #^#'s) = E100#^##40 in Cascading-E Notation.[1][2] The term was coined by Sbiis Saibian.

Etymology

The name of this number is based on the prefix "saranta-" (meaning 40) and the number "godgahlah".

Approximations in other notations

Notation Approximation
BEAF \(\{100,100 \underbrace{(1)(1)\cdots(1)(1)}_{40} 2\}\)
Bird's array notation \(\{100,100 \underbrace{[2][2]\cdots[2][2]}_{40} 2\}\)
Hyperfactorial array notation \(100![1,[[99,98],38,2],1,2]\)
Fast-growing hierarchy \(f_{\omega^{\omega 39+99}}(100)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega 39+99}}}(100)\)
Slow-growing hierarchy \(g_{\theta(\Omega^{\Omega 39+98})}(100)\)

Sources

  1. Saibian, Sbiis. 4.3.5 Cascading-E NumbersOne to Infinity. Retrieved 2017-01-31.
  2. Sbiis Saibian's Ultimate Large Numbers List - Part III
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