A gazillion normally refers to an indefinitely large quantity, like a zillion. However, based on this 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 trevigintillion. If you use the long scale, a gazillion is equal to \(10^{71}\).
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