A 3*3*3 Rubik's cube. This picture shows just one out of that number of possible arrangements.

43,252,003,274,489,856,000 is the number of possible legal arrangements of a standard 3×3×3 Rubik's Cube.[1][2][3]

This number is a bit over three dozen quintillion.

It is pronounced as follows:

Video

Approximations

Notation Lower bound Upper bound
Scientific notation \(4.325\times10^{19}\) \(4.326\times10^{19}\)
Arrow notation \(43\uparrow12\) \(92\uparrow10\)
Steinhaus-Moser Notation 16[3] 17[3]
Copy notation 3[20] 4[20]
Chained arrow notation \(43\rightarrow12\) \(92\rightarrow10\)
PlantStar's Debut Notation [11] [12]
Taro's multivariable Ackermann function A(3,62) A(3,63)
Pound-Star Notation #*(7,0,2)*7 #*(4,0,0,4)*4
BEAF {43,12} {92,10}
Hyper-E notation 4E19 5E19
Bashicu matrix system (0)(0)[81096] (0)(0)[81097]
Hyperfactorial array notation 20! 21!
Bird's array notation {43,12} {92,10}
Fast-growing hierarchy \(f_2(59)\) \(f_2(60)\)
Hardy hierarchy \(H_{\omega^2}(59)\) \(H_{\omega^2}(60)\)
Slow-growing hierarchy \(g_{\omega^{\omega2+2}3+\omega^{\omega2+1}5}(9)\) \(g_{\omega^{\omega+4}5}(13)\)

Sources

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