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


Also see


Sources