374, 144,419, 156,711, 147,060, 143,317, 175,368, 453,031, 918,731, 001,856
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Number
$374 \, 144 \, 419 \, 156 \, 711 \, 147 \, 060 \, 143 \, 317 \, 175 \, 368 \, 453 \, 031 \, 918 \, 731 \, 001 \, 856$ is:
- $2^{168}$
- The $42$nd power of $16$:
- $374 \, 144 \, 419 \, 156 \, 711 \, 147 \, 060 \, 143 \, 317 \, 175 \, 368 \, 453 \, 031 \, 918 \, 731 \, 001 \, 856 = 16^{42}$
- The $56$th power of $8$:
- $374 \, 144 \, 419 \, 156 \, 711 \, 147 \, 060 \, 143 \, 317 \, 175 \, 368 \, 453 \, 031 \, 918 \, 731 \, 001 \, 856 = 8^{56}$
- The $84$th power of $4$:
- $374 \, 144 \, 419 \, 156 \, 711 \, 147 \, 060 \, 143 \, 317 \, 175 \, 368 \, 453 \, 031 \, 918 \, 731 \, 001 \, 856 = 4^{84}$
- The $168$th power of $2$:
- $374 \, 144 \, 419 \, 156 \, 711 \, 147 \, 060 \, 143 \, 317 \, 175 \, 368 \, 453 \, 031 \, 918 \, 731 \, 001 \, 856 = 2^{168}$
- The $2 \, 097 \, 152$nd $8$th power:
- $374 \, 144 \, 419 \, 156 \, 711 \, 147 \, 060 \, 143 \, 317 \, 175 \, 368 \, 453 \, 031 \, 918 \, 731 \, 001 \, 856 = 2 \, 097 \, 152^8$
- The $16 \, 777 \, 216$th $7$th power:
- $374 \, 144 \, 419 \, 156 \, 711 \, 147 \, 060 \, 143 \, 317 \, 175 \, 368 \, 453 \, 031 \, 918 \, 731 \, 001 \, 856 = 16 \, 777 \, 216^7$
- The $268 \, 435 \, 456$th $6$th power:
- $374 \, 144 \, 419 \, 156 \, 711 \, 147 \, 060 \, 143 \, 317 \, 175 \, 368 \, 453 \, 031 \, 918 \, 731 \, 001 \, 856 = 268 \, 435 \, 456^6$
- The $4 \, 398 \, 046 \, 511 \, 104$th fourth power:
- $374 \, 144 \, 419 \, 156 \, 711 \, 147 \, 060 \, 143 \, 317 \, 175 \, 368 \, 453 \, 031 \, 918 \, 731 \, 001 \, 856 = 4 \, 398 \, 046 \, 511 \, 104^4$
- The $72 \, 057 \, 594 \, 037 \, 927 \, 936$th cube number:
- $374 \, 144 \, 419 \, 156 \, 711 \, 147 \, 060 \, 143 \, 317 \, 175 \, 368 \, 453 \, 031 \, 918 \, 731 \, 001 \, 856 = 72 \, 057 \, 594 \, 037 \, 927 \, 936^3$
- The $19 \, 342 \, 813 \, 113 \, 834 \, 066 \, 795 \, 298 \, 816$th square number:
- $374 \, 144 \, 419 \, 156 \, 711 \, 147 \, 060 \, 143 \, 317 \, 175 \, 368 \, 453 \, 031 \, 918 \, 731 \, 001 \, 856 = 19 \, 342 \, 813 \, 113 \, 834 \, 066 \, 795 \, 298 \, 816^2$
- A large power of $2$ which contains no instance of the digit $2$
Also see
- Previous ... Next: Sequence of Powers of 16
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Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $374,144,419,156,711,147,060,143,317,175,368,453,031,918,731,001,856$