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Not to be confused with Factorization (algebra).

Factor is equal to 100! ≈ 9.33262154537 × 10157, where ! denotes factorial. The term was coined by Yabuszko.[1]

It is approximately 93.33 unquinquagintillion in short scale or 93.33 sesvigintillion in long scale. It is 158 digits long.

Decimal expansion[]

93,326,215,443,944,152,681,699,238,856,266,700,490,715,968,264,381,621,468,592,963,895,217,599,993,229,915,608,941,463,976,156,518,286,253,697,920,827,223,758,251,185,210,916,864,000,000,000,000,000,000,000,000

Etymology[]

The name of the number is a mix of "factorial" and nordic god "thor".

Approximations[]

Notation Lower bound Upper bound
Scientific notation \(9.332\times10^{157}\) \(9.333\times10^{157}\)
Arrow notation \(82\uparrow 84\) \(10\uparrow 158\)
Steinhaus-Moser Notation 82[3] 83[3]
Copy notation 8[158] 9[158]
Chained arrow notation \(82 \rightarrow 84\) \(10 \rightarrow 158\)
Taro's multivariable Ackermann function A(3,518) A(3,519)
Pound-Star Notation #*((3))*9 #*((4))*9
BEAF {82,84} {10,158}
Hyper-E notation E[82]84 E158
Bashicu matrix system (0)(0)(0)(0)(0)[86409] (0)(0)(0)(0)(0)[86410]
Hyperfactorial array notation 100!
Fast-growing hierarchy \(f_2(515)\) \(f_2(516)\)
Hardy hierarchy \(H_{\omega^2}(515)\) \(H_{\omega^2}(516)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2+\omega5+7}}(10)\) \(g_{\omega^{\omega^2+\omega5+8}}(10)\)

Sources[]

See Also[]

Numbers by Yabuszko

Factor Group: Factor · Bifactor · Trifactor · Tetfactor · Pentfactor ‌· Hexfactor · Heptfactor · Octafactor · Enneafactor · Dekafactor
Ultrafactor Group: Ultrafactor · Ultrafactordec · Ultrafactorum · Ultrafactorumdec · Ultrafactorumx · Ultrafactorumxdec · Ultrafactorumtetx · Ultrafactorumtetxdec · Ultrafactorumpentx · Ultrafactorumpentxdec · Ultrafactorumhexx · Ultrafactorumhexdec · Ultrafactorumheptx · Ultrafactorumheptxdec · Ultrafactorumoctx · Ultrafactorumoctxdec · Ultrafactorumennx · Ultrafactorumdecx · Ultrafactorumdecxdec
Grandfactor Group: Grandfactor · Grandfactordec · Grandfactorbig · Grandfactorbigbi · Grandfactorbigtri · Grandfactorbigtet · Grandfactorbigpent · Grandfactorbighex · Grandfactorbighept · Grandfactorbigoct · Grandfactorbigenn · Grandfactorbigdec · Double grandfactor · Triple grandfactor · Quadruple grandfactor · Quintuple grandfactor · Sextuple grandfactor · Septuple grandfactor · Octuple grandfactor · Nonuple grandfactor
Superfactor Group: Superfactor · Superfactorbyultra · Superfactorbygrand · Superfactorbygrandbig · Superfactorbygrandhuge · Superfactorbygrandenerm · Superfactorbygrandlarge · Superfactorbygrandhyp · Superfactorbygrandcolos · Superfactorbygrandmonum · Superfactorbygrandgiant · Superfactorbygrandmonster · Double superfactor · Triple superfactor · Quadruple superfactor · Quintuple superfactor · Sextuple superfactor · Septuple superfactor · Octuple superfactor · Nonuple superfactor · Decuple superfactor · Ultra superfactor · Tower superfactor · Double Tower superfactor · Triple Tower superfactor · Quadruple Tower superfactor · Quintuple Tower superfactor · Sextuple Tower superfactor · Septuple Tower superfactor · Octuple Tower superfactor · Nonuple Tower superfactor
Etherfactor Group: Etherfactor · Etherfactorbysuper · Etherfactorbytowersuper · Ethergiant · Double etherfactor · Super etherfactor · Pentaetherfactor · Hexaetherfactor · Heptaetherfactor · Octaetherfactor · Ennetherfactor · Deketherfactor

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