A gazillion normally refers to an indefinitely large quantity, like a zillion. However, some people have given definite values to this name.
Calvin and Hobbes definition[]
This definition comes from the following Calvin and Hobbes comic strip:
Calvin: Psst! Susie, what's 7 + 6?
Susie: Three hundred billion gazillion.
Calvin: Oh, thanks for the big help!
Susie: That's a three, followed by 85 zeroes.
Calvin: Ah! I knew that.
Since 300 billion gazillion is equal to \(3 \cdot 10^{85}\), a gazillion would then be equal to \(10^{74}\), or one hundred tresvigintillion.[1][2] If you use the long scale, a gazillion is equal to \(10^{71}\).
Cookiefonster calls 300 billion gazillion = \(3 \cdot 10^{85}\) the "Calvin and Hobbes number".[2]
Greg Clarke's definition[]
Greg Clarke defined gazillion as 1086,340.[3]
Approximations[]
For the Calvin and Hobbes definition:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{74}\) | |
Arrow notation | \(10\uparrow74\) | |
Steinhaus-Moser Notation | 44[3] | 45[3] |
Copy notation | 9[74] | 1[75] |
Taro's multivariable Ackermann function | A(3,242) | A(3,243) |
Pound-Star Notation | #*(7,16,5,1)*16 | #*(2,3,2,0,2,4)*8 |
BEAF | {10,74} | |
Hyper-E notation | E74 | |
Bashicu matrix system | (0)(0)(0)(0)[42169] | (0)(0)(0)(0)[42170] |
Hyperfactorial array notation | 55! | 56! |
Fast-growing hierarchy | \(f_2(237)\) | \(f_2(238)\) |
Hardy hierarchy | \(H_{\omega^2}(237)\) | \(H_{\omega^2}(238)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega7+4}}(10)\) |
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)