Faxul

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The faxul is equal to 200!, where ! denotes the factorial.^[1] The term was coined by Lawrence Hollom. It is 375 digits long.

The full decimal expansion is shown below:

788657867364790503552363213932185062295135977687173263294742533244359449963403342920304284011984623904177212138919638830257642790242637105061926624952829931113462857270763317237396988943922445621451664240254033291864131227428294853277524242407573903240321257405579568660226031904170324062351700858796178922222789623703897374720000000000000000000000000000000000000000000000000

Etymology[]

The name of this number appears to be a mix of "factorial" and googol.

Approximations in other notations[]

Notation	Lower bound	Upper bound
Scientific notation	\(7.886\times10^{374}\)	\(7.887\times10^{374}\)
Arrow notation	\(94\uparrow190\)	\(11\uparrow360\)
Steinhaus-Moser Notation	168[3]	169[3]
Copy notation	7[375]	8[375]
Chained arrow notation	\(94→190\)	\(11→360\)
Taro's multivariable Ackermann function	A(3,1242)	A(3,1243)
Pound-Star Notation	#((566))12	#((567))12
PlantStar's Debut Notation	[222]	[223]
BEAF	{94,190}	{11,360}
Hyper-E notation	7E374	8E374
Bashicu matrix system	(0)(0)(0)(0)(0)(0)(0)[848]	(0)(0)(0)(0)(0)(0)(0)[849]
Bird's array notation	{94,190}	{11,360}
Fast-growing hierarchy	\(f_2(1\,235)\)	\(f_2(1\,236)\)
Hardy hierarchy	\(H_{\omega^2}(1\,235)\)	\(H_{\omega^2}(1\,236)\)
Slow-growing hierarchy	\(g_{\omega^{\omega \times 7+15}22}(33)\)	\(g_{\omega^{\omega \times 2+16}36}(88)\)

Sources[]

↑ Lawrence Hollom's large numbers site

Conversion[]

(Faxul)\(!\) = Kilofaxul
\(((((\)(Faxul)\(!)!)!)!)...\) (Faxul-1 \(!\)'s)= Grand Faxul

See also[]

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

Faxul · Giaxul · Hugexul · Enormaxul · Destruxul · Extremexul · Gigantixul · Nucleaxul · BIGG

[1] Lawrence Hollom's large numbers site

[1]