Googology Wiki
Googology Wiki

Amedeo Avogadro, the scientist the number is named after

The Avogadro constant is a constant equal to the number of constituent particles contained within one mole of substance. It is precisely equal to \(6.02214076 \times 10^{23}\text{ mol}^{-1}\).[1]

A related term is Avogadro's number, a dimensionless constant equal to \(6.02214076 \times 10^{23}\), which is currently used to define mole.

It was originally defined as the number of atoms in 12 grams of 12C, and was approximetaly equal to \(6.022140857 \times 10^{23}\text{ mol}^{-1}\).


Notation Lower bound Upper bound
Scientific notation \(6.022\times10^{23}\) \(6.023\times10^{23}\)
Arrow notation \(5\uparrow34\) \(2\uparrow79\)
Steinhaus-Moser Notation 18[3] 19[3]
Copy notation 5[24] 6[24]
Taro's multivariable Ackermann function A(3,75) A(3,76)
Pound-Star Notation #*(2,1,2,3)*5 #*(3,1,2,3)*5
BEAF {5,34} {2,79}
Hyper-E notation 6E23 E[2]79
Bashicu matrix system (0)(0)(0)[938] (0)(0)(0)[939]
Hyperfactorial array notation 23! 24!
Fast-growing hierarchy \(f_2(72)\) \(f_2(73)\)
Hardy hierarchy \(H_{\omega^2}(72)\) \(H_{\omega^2}(73)\)
Slow-growing hierarchy \(g_{\omega^{17}20+\omega^{15}20}(21)\) \(g_{\omega^{17}20+\omega^{16}}(21)\)


See also

Large numbers in science