Quadrigoogol

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Not to be confused with quadriggol.

Quadrigoogol is equal to googol×4 using hypermathematics. It is equal to \(10^{403}+10^{302}+10^{201}+10^{100}\) using normal mathematics.

Its prime factorization is 2¹⁰⁰ × 5¹⁰⁰ × 11 × 101² × 607 × 809 × 1,213 × 1,327,067,281 × 3,679,329,001 × 19,384,130,081 × 12,793,360,409,007,449 × 4,908,990,488,743,183,603,681 × 5,383,539,446,793,990,416,488,818,114,381,662,511,041 × 147,987,024,898,557,331,825,270,928,295,100,820,916,509 × 274,709,671,055,935,535,763,734,628,625,616,947,603,714,681,537,231,287,179,261 × 11,500,490,394,117,824,585,468,796,003,575,163,076,836,624,586,334,794,818,271,756,072,956,027,758,946,488,969.

Approximations

Notation	Lower bound	Upper bound
Scientific notation	\(1\times10^{403}\)	\(1.001\times10^{403}\)
Arrow notation	\(10\uparrow403\)	\(35\uparrow261\)
Steinhaus-Moser Notation	178[3]	179[3]
Copy notation	9[403]	10[202]
Taro's multivariable Ackermann function	A(3,1335)	A(3,1336)
Pound-Star Notation	#*((8))*13	#*((9))*13
BEAF	{10,403}	{35,261}
Hyper-E notation	E403	2E403
Bashicu matrix system	(0)(0)(0)(0)(0)(0)(0)[1407]	(0)(0)(0)(0)(0)(0)(0)[1408]
Hyperfactorial array notation	212!	213!
Fast-growing hierarchy	\(f_2(1328)\)	\(f_2(1329)\)
Hardy hierarchy	\(H_{\omega^2}(1328)\)	\(H_{\omega^2}(1329)\)
Slow-growing hierarchy	\(g_{\omega^{\omega^24+3}+\omega^{\omega^23+2}+\omega^{\omega^22+1}+\omega^{\omega^2}}(10)\)

See also

Numbers from A googol is a tiny dot

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)