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256343752242 = 234397792
BaseRepresentation
bin1110111010111101000…
…1110011111000110010
3220111200000222212020000
43232233101303320302
513144443000032432
6313432424130430
724343302641154
oct3565721637062
9814600885200
10256343752242
11997954021a6
1241821006a16
131b233434146
14c59b142ad4
156a04c0457c
hex3baf473e32

256343752242 has 30 divisors (see below), whose sum is σ = 574414329423. Its totient is φ = 85445769348.

The previous prime is 256343752219. The next prime is 256343752243. The reversal of 256343752242 is 242257343652.

256343752242 is a `hidden beast` number, since 2 + 5 + 6 + 34 + 375 + 2 + 242 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128171876121 + 128171876121 = 358011^2 + 358011^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=358011.

It is not an unprimeable number, because it can be changed into a prime (256343752243) by changing a digit.

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, 6424309 + ... + 6464087.

Almost surely, 2256343752242 is an apocalyptic number.

256343752242 is an abundant number, since it is smaller than the sum of its proper divisors (318070577181).

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

256343752242 is an frugal number, since it uses more digits than its factorization.

256343752242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79572 (or 39784 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 45.

The spelling of 256343752242 in words is "two hundred fifty-six billion, three hundred forty-three million, seven hundred fifty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 39779 79558 119337 238674 358011 716022 1074033 2148066 3222099 6444198 1582368841 3164737682 4747106523 9494213046 14241319569 28482639138 42723958707 85447917414 128171876121 256343752242