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13040402424 = 2337671158529
BaseRepresentation
bin11000010010100010…
…01011111111111000
31020122210211002011120
430021101023333320
5203201320334144
65553553025240
7641103406650
oct141121137770
936583732146
1013040402424
115591a70395
12263b255220
1312ca87976a
148b9c85360
15514c82e19
hex30944bff8

13040402424 has 64 divisors (see below), whose sum is σ = 37814419200. Its totient is φ = 3670216704.

The previous prime is 13040402423. The next prime is 13040402503. The reversal of 13040402424 is 42420404031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13040402394 and 13040402403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13040402423) 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, 568009 + ... + 590520.

It is an arithmetic number, because the mean of its divisors is an integer number (590850300).

Almost surely, 213040402424 is an apocalyptic number.

13040402424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13040402424 is an abundant number, since it is smaller than the sum of its proper divisors (24774016776).

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

13040402424 is a wasteful number, since it uses less digits than its factorization.

13040402424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158612 (or 1158608 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 13040402424 its reverse (42420404031), we get a palindrome (55460806455).

The spelling of 13040402424 in words is "thirteen billion, forty million, four hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 5628 11256 1158529 2317058 3475587 4634116 6951174 8109703 9268232 13902348 16219406 24329109 27804696 32438812 48658218 64877624 77621443 97316436 155242886 194632872 232864329 310485772 465728658 543350101 620971544 931457316 1086700202 1630050303 1862914632 2173400404 3260100606 4346800808 6520201212 13040402424