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15141344013 = 34313597221
BaseRepresentation
bin11100001100111111…
…01001001100001101
31110002020002222020000
432012133221030031
5222002141002023
610542243314513
71044134205045
oct160637511415
943066088200
1015141344013
11646a991954
122b2697ba39
131573c07073
14a38cd8725
155d9434243
hex3867e930d

15141344013 has 20 divisors (see below), whose sum is σ = 22690852668. Its totient is φ = 10061962560.

The previous prime is 15141344011. The next prime is 15141344039. The reversal of 15141344013 is 31044314151.

15141344013 is a `hidden beast` number, since 1 + 514 + 134 + 4 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1832952969 + 13308391044 = 42813^2 + 115362^2 .

It is not a de Polignac number, because 15141344013 - 21 = 15141344011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15141344011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 273258 + ... + 323963.

Almost surely, 215141344013 is an apocalyptic number.

It is an amenable number.

15141344013 is a deficient number, since it is larger than the sum of its proper divisors (7549508655).

15141344013 is an equidigital number, since it uses as much as digits as its factorization.

15141344013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597546 (or 597537 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 15141344013 its reverse (31044314151), we get a palindrome (46185658164).

The spelling of 15141344013 in words is "fifteen billion, one hundred forty-one million, three hundred forty-four thousand, thirteen".

Divisors: 1 3 9 27 81 313 939 2817 8451 25353 597221 1791663 5374989 16124967 48374901 186930173 560790519 1682371557 5047114671 15141344013