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255214915344 = 2434140332
BaseRepresentation
bin1110110110101111111…
…1101000111100010000
3220101202100220000010000
43231223333220330100
513140140004242334
6313124421210000
724303314662404
oct3555377507420
9811670800100
10255214915344
1199266191344
1241566b60900
131b0b35c7a0c
14c4d1259104
15698aa74299
hex3b6bfe8f10

255214915344 has 75 divisors (see below), whose sum is σ = 738718650373. Its totient is φ = 85065576192.

The previous prime is 255214915339. The next prime is 255214915357. The reversal of 255214915344 is 443519412552.

The square root of 255214915344 is 505188.

It is a perfect power (a square), and thus also a powerful number.

255214915344 is a `hidden beast` number, since 2 + 5 + 5 + 21 + 4 + 91 + 534 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29673507600 + 225541407744 = 172260^2 + 474912^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 255214915344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18179752 + ... + 18193784.

Almost surely, 2255214915344 is an apocalyptic number.

255214915344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

255214915344 is the 505188-th square number.

It is an amenable number.

255214915344 is an abundant number, since it is smaller than the sum of its proper divisors (483503735029).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

255214915344 is an frugal number, since it uses more digits than its factorization.

255214915344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28086 (or 14038 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 255214915344 in words is "two hundred fifty-five billion, two hundred fourteen million, nine hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 14033 28066 42099 56132 84198 112264 126297 168396 224528 252594 336792 378891 505188 673584 757782 1010376 1136673 1515564 2020752 2273346 3031128 4546692 6062256 9093384 18186768 196925089 393850178 590775267 787700356 1181550534 1575400712 1772325801 2363101068 3150801424 3544651602 4726202136 5316977403 7089303204 9452404272 10633954806 14178606408 15950932209 21267909612 28357212816 31901864418 42535819224 63803728836 85071638448 127607457672 255214915344