The Leviathan number is equal to \(10^{666}! \approx 10^{6.6556570552\times10^{668}}\), where \(n!\) denotes the factorial.[1][2]

Approximations Edit

Notation Approximation
Scientific notation \(10^{6.6556570552\times10^{668} }\)
Up-arrow notation \(10 \uparrow 10 \uparrow 669\)
BEAF \(\{10,\{10,669\}\}\)
Hyper-E notation \(E669\#2\)
Chained arrow notation \(10 \rightarrow (10 \rightarrow 669)\)
Hyperfactorial array notation \((321!)!\)
Strong array notation s(10,s(10,669))
Fast-growing hierarchy \(f_2(f_2(2212))\)
Hardy hierarchy \(H_{\omega^22}(2212)\)
Slow-growing hierarchy \(g_{\omega^{\omega^{67} } }(10)\)

Sources Edit

  1. Leviathan Number from Wolfram MathWorld
  2. Notable Properties of Specific Numbers (page 22) at MROB

See also Edit