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10144456256 = 261114409739
BaseRepresentation
bin10010111001010100…
…00001111001000000
3222011222120202212002
421130222001321000
5131233440100011
64354342523132
7506250312134
oct113452017100
928158522762
1010144456256
114336310150
121b714364a8
13c588c7c4c
146c34073c4
153e58e4c3b
hex25ca81e40

10144456256 has 28 divisors (see below), whose sum is σ = 21960443760. Its totient is φ = 4611116160.

The previous prime is 10144456243. The next prime is 10144456279. The reversal of 10144456256 is 65265444101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7204166 + ... + 7205573.

Almost surely, 210144456256 is an apocalyptic number.

10144456256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10144456256 is an abundant number, since it is smaller than the sum of its proper divisors (11815987504).

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

10144456256 is a wasteful number, since it uses less digits than its factorization.

10144456256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14409762 (or 14409752 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 10144456256 in words is "ten billion, one hundred forty-four million, four hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 14409739 28819478 57638956 115277912 158507129 230555824 317014258 461111648 634028516 922223296 1268057032 2536114064 5072228128 10144456256