109,418,989,131,512,359,209

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Number

$109 \, 418 \, 989 \, 131 \, 512 \, 359 \, 209$ is:

$3^{42}$

The $10 \, 460 \, 353 \, 203$th square number:

$109 \, 418 \, 989 \, 131 \, 512 \, 359 \, 209 = 10 \, 460 \, 353 \, 203 \times 10 \, 460 \, 353 \, 203$

The $4 \, 782 \, 969$th cube number:

$109 \, 418 \, 989 \, 131 \, 512 \, 359 \, 209 = 4 \, 782 \, 969 \times 4 \, 782 \, 969 \times 4 \, 782 \, 969$

The $2187$th sixth power:

$109 \, 418 \, 989 \, 131 \, 512 \, 359 \, 209 = 2187 \times 2187 \times 2187 \times 2187 \times 2187 \times 2187$

The $729$th seventh power:

$109 \, 418 \, 989 \, 131 \, 512 \, 359 \, 209 = 729 \times 729 \times 729 \times 729 \times 729 \times 729 \times 729$

The $42$nd power of $3$:

$109 \, 418 \, 989 \, 131 \, 512 \, 359 \, 209 = 3^{42}$

The $21$st power of $9$:

$109 \, 418 \, 989 \, 131 \, 512 \, 359 \, 209 = 9^{21}$

The largest $n$th power which has $n$ digits:

$9^{21} = 109 \, 418 \, 989 \, 131 \, 512 \, 359 \, 209$ has $21$ digits

1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $109,418,989,131,512,359,209$
1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $109,418,989,131,512,359,209$