Googology Wiki
Googology Wiki

The zettorial is a function invented by Aarex Tiaokhiao.[1] It's a type of nested factorial notation.

The function is denoted and defined as n(!5) = ((((n!)!)!)!)!.

Approximations in other notations

Notation Approximation
Up-arrow notation \(n \uparrow \uparrow 6 \)
BEAF \(\{n,6,2\}\)


See also

Main article: Factorial
Multifactorials: Double factorial · Multifactorial
Falling and rising: Falling factorial · Rising factorial
Other mathematical variants: Alternating factorial · Hyperfactorial · q-factorial · Roman factorial · Subfactorial · Weak factorial · Primorial · Compositorial · Semiprimorial
Tetrational growth: Exponential factorial · Expostfacto function · Superfactorial by Clifford Pickover
Nested Factorials: Tetorial · Petorial · Ectorial · Zettorial · Yottorial
Array-based extensions: Hyperfactorial array notation · Nested factorial notation
Other googological variants: · Tetrofactorial · Superfactorial by Sloane and Plouffe · Torian · Factorexation · Mixed factorial · Bouncing Factorial