The trigoogol is equal to 3\(\cdot\)googol using hypermathematics.[1] It is equal to \(10^{302}+10^{201}+10^{100}\) using normal mathematics.
Its prime factorization is 2100 × 3 × 5100 × 37 × 2,096,761 × 272,295,362,253,883 × 157,793,041,231,623,437,279,937,408,119,546,555,586,267,712,054,762,280,488,959,320,521,697,937,521,092,276,297,325,262,649,574,267,470,228,259,745,983,773,969,571,127,099,146,658,127,611,270,714,291,518,805,884,658,999,061,123,143,366,757.
Approximations
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{302}\) | \(1.001\times10^{302}\) |
| Arrow notation | \(10\uparrow302\) | \(345\uparrow119\) |
| Steinhaus-Moser Notation | 140[3] | 141[3] |
| Copy notation | 9[302] | 1[303] |
| Taro's multivariable Ackermann function | A(3,1000) | A(3,1001) |
| Pound-Star Notation | #*((282))*11 | #*((283))*11 |
| BEAF | {10,302} | {345,119} |
| Bashicu matrix system | (0)(0)(0)(0)(0)(0)[52329] | (0)(0)(0)(0)(0)(0)[52330] |
| Hyperfactorial array notation | 167! | 168! |
| Fast-growing hierarchy | \(f_2(993)\) | \(f_2(994)\) |
| Hardy hierarchy | \(H_{\omega^2}(993)\) | \(H_{\omega^2}(994)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^23+2}+\omega^{\omega^22+1}+\omega^{\omega^2}}(10)\) | |
Sources
See also
Hypermathematics: bigoogol · trigoogol · quadrigoogol · coogol(plex)
Hyperlicious: wakoogol(plex) · wakamoogol(plex) · wonkapoogol(plex) · ultron
Numbers with a W: woogol · wiggol · waggol · weegol · wigol · woggol · wagol · bwoogol · bwiggol · bwaggol · bweegol · bwigol · bwoggol · bwagol
Primes: Gooprol · Booprol · Trooprol · Quadrooprol
Other: Bentley's Number · Pigol · Egol · Phigol · gongol(plex) · kaboodol(plex) · gaz(illion)