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10144456241 = 37439476733
BaseRepresentation
bin10010111001010100…
…00001111000110001
3222011222120202211112
421130222001320301
5131233440044431
64354342523105
7506250312113
oct113452017061
928158522745
1010144456241
114336310137
121b71436495
13c588c7c3a
146c34073b3
153e58e4c2b
hex25ca81e31

10144456241 has 16 divisors (see below), whose sum is σ = 10673767104. Its totient is φ = 9629129664.

The previous prime is 10144456211. The next prime is 10144456243. The reversal of 10144456241 is 14265444101.

It is not a de Polignac number, because 10144456241 - 214 = 10144439857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10144456198 and 10144456207.

It is not an unprimeable number, because it can be changed into a prime (10144456243) 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, 1503311 + ... + 1510043.

It is an arithmetic number, because the mean of its divisors is an integer number (667110444).

Almost surely, 210144456241 is an apocalyptic number.

It is an amenable number.

10144456241 is a deficient number, since it is larger than the sum of its proper divisors (529310863).

10144456241 is an equidigital number, since it uses as much as digits as its factorization.

10144456241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7760.

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 10144456241 in words is "ten billion, one hundred forty-four million, four hundred fifty-six thousand, two hundred forty-one".

Divisors: 1 37 43 947 1591 6733 35039 40721 249121 289519 1506677 6376151 10712203 235917587 274174493 10144456241