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10144456337 = 233159323993
BaseRepresentation
bin10010111001010100…
…00001111010010001
3222011222120202222002
421130222001322101
5131233440100322
64354342523345
7506250312311
oct113452017221
928158522862
1010144456337
114336310214
121b71436555
13c588c7cb2
146c3407441
153e58e4c92
hex25ca81e91

10144456337 has 16 divisors (see below), whose sum is σ = 10945870848. Its totient is φ = 9374154240.

The previous prime is 10144456297. The next prime is 10144456373. The reversal of 10144456337 is 73365444101.

It is a cyclic number.

It is not a de Polignac number, because 10144456337 - 216 = 10144390801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10144456337.

It is not an unprimeable number, because it can be changed into a prime (10144456397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410813 + ... + 434805.

It is an arithmetic number, because the mean of its divisors is an integer number (684116928).

Almost surely, 210144456337 is an apocalyptic number.

It is an amenable number.

10144456337 is a deficient number, since it is larger than the sum of its proper divisors (801414511).

10144456337 is a wasteful number, since it uses less digits than its factorization.

10144456337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24640.

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 10144456337 in words is "ten billion, one hundred forty-four million, four hundred fifty-six thousand, three hundred thirty-seven".

Divisors: 1 23 31 593 713 13639 18383 23993 422809 551839 743783 14227849 17107009 327240527 441063319 10144456337