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

• Power of 2 containing no Digit 2

• Previous  ... Next: Sequence of Powers of 16
• Previous  ... Next: Sequence of Powers of 8
• Previous  ... Next: Sequence of Powers of 4
• Previous  ... Next: Sequence of Powers of 2
• Previous  ... Next: Eighth Power
• Previous  ... Next: Seventh Power
• Previous  ... Next: Sixth Power
• Previous  ... Next: Fourth Power
• Previous  ... Next: Cube Number
• Previous  ... Next: Square Number

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $374,144,419,156,711,147,060,143,317,175,368,453,031,918,731,001,856$