Googology Wiki
Register
Advertisement
Googology Wiki

View full site to see MathJax equation

The tetrofaxul is equal to 200!2 in Hyperfactorial array notation.[1][2] Tetrofaxul can be thought as "tetrofactorial" of 200, which is, by analogy with expofactorial, means \(f(n) = n \uparrow\uparrow (n-1) \uparrow\uparrow (n-2) \cdots 4 \uparrow\uparrow 3 \uparrow\uparrow 2 \uparrow\uparrow 1\). Thus, tetrofaxul can be represented as \(200 \uparrow\uparrow 199 \uparrow\uparrow 198 \cdots 4 \uparrow\uparrow 3 \uparrow\uparrow 2 \uparrow\uparrow 1\). This is based on tetration. The term was coined by Lawrence Hollom.

Etymology[]

The name of this number is based on Greek prefix "tetra-" and the number "faxul".

Approximations in other notations[]

Notation Approximation
Hyper-E notation \(\textrm{E}153.90699754796802\#25\#197\)
Up-arrow notation between \(26 \uparrow\uparrow\uparrow 198\) and \(27 \uparrow\uparrow\uparrow 198\)
Chained arrow notation \(26 \rightarrow 198\rightarrow 3\)
BEAF \(\{26,198,3\}\)
Fast-growing hierarchy \(f_4(196)\)
Hardy hierarchy \(H_{\omega^4}(200)\)
Slow-growing hierarchy \(g_{\zeta_0}(200)\)
Tetrofaxul

A representation of the tetrofaxul

Sources[]

See also[]

Hyperfactorial array notation numbers: Minor Faxul Group | Major (Giaxul)

Faxul group: Faxul · Kilofaxul · Megafaxul · Gigafaxul · Terafaxul · Petafaxul · Exafaxul · Grand Faxul · Grand Kilofaxul · Grand Megafaxul · Grand Gigafaxul · Grand Terafaxul · Grand Petafaxul · Grand Exafaxul · Bigrand Faxul · Bigrand Kilofaxul · Bigrand Megafaxul · Trigrand Faxul · Trigrand Kilofaxul · Quadgrand Faxul · Quintgrand Faxul
Expofaxul group: Expofaxul · Kiloexpofaxul · Megaexpofaxul · Gigaexpofaxul · Teraexpofaxul · Petaexpofaxul · Exaexpofaxul · Grand expofaxul · Grand kiloexpofaxul · Grand megaexpofaxul · Grand gigaexpofaxul · Grand teraexpofaxul · Grand petaexpofaxul · Grand exaexpofaxul · Bigrand expofaxul · Bigrand kiloexpofaxul · Bigrand megaexpofaxul · Trigrand expofaxul · Trigrand kiloexpofaxul · Quadgrand expofaxul · Quintgrand expofaxul
Tetrofaxul group: Tetrofaxul · Kilotetrofaxul · Megatetrofaxul · Gigatetrofaxul · Teratetrofaxul · Petatetrofaxul · Exatetrofaxul · Grand tetrofaxul · Grand kilotetrofaxul · Grand megatetrofaxul · Grand gigatetrofaxul · Grand teratetrofaxul · Grand petatetrofaxul · Grand exatetrofaxul · Bigrand tetrofaxul · Bigrand kilotetrofaxul · Bigrand megatetrofaxul · Trigrand tetrofaxul · Trigrand kilotetrofaxul · Quadgrand tetrofaxul · Quintgrand tetrofaxul
Pentofaxul group: Pentofaxul · Kilopentofaxul · Megapentofaxul · Gigapentofaxul · Grand pentofaxul · Grand kilopentofaxul · Grand megapentofaxul · Grand gigapentofaxul · Bigrand pentofaxul · Trigrand pentofaxul
Hexofaxul group: Hexofaxul · Kilohexofaxul · Megahexofaxul · Gigahexofaxul · Grand hexofaxul · Grand kilohexofaxul · Grand megahexofaxul · Grand gigahexofaxul · Bigrand hexofaxul · Trigrand hexofaxul
Heptofaxul group: Heptofaxul · Octofaxul
Hyperfaxul group: Hyperfaxul · Kilohyperfaxul · Megahyperfaxul · Gigahyperfaxul · Terahyperfaxul · Petahyperfaxul · Exahyperfaxul · Grand hyperfaxul · Grand kilohyperfaxul · Grand megahyperfaxul · Grand gigahyperfaxul · Grand terahyperfaxul · Grand petahyperfaxul · Grand exahyperfaxul · Bigrand hyperfaxul · Bigrand kilohyperfaxul · Bigrand megahyperfaxul · Trigrand hyperfaxul · Trigrand kilohyperfaxul · Trigrand megahyperfaxul · Quadgrand hyperfaxul · Quintgrand hyperfaxul
Redstonepillager's extensions: Kiloheptofaxul · Megaheptofaxul · Ennofaxul · Decofaxul · Undecofaxul · Dodecofaxul · Tredecofaxul · Dopperfaxul · Kilodopperfaxul · Megadopperfaxul · Tropperfaxul · Quadroppperfaxul · Quintopperfaxul · Sextopperfaxul · Septopperfaxul · Oxtopperfaxul · Novtopperfaxul · Dextopperfaxul · Googaxul
Advertisement