- 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[]
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[]
- ↑ Yabuszko, Extensible ! Notation
See Also[]
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