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13040402232 = 23311135876473
BaseRepresentation
bin11000010010100010…
…01011111100111000
31020122210211001220110
430021101023330320
5203201320332412
65553553024320
7641103406254
oct141121137470
936583731813
1013040402232
115591a70230
12263b2550a0
1312ca879650
148b9c85264
15514c82d3c
hex30944bf38

13040402232 has 128 divisors (see below), whose sum is σ = 38371656960. Its totient is φ = 3640888320.

The previous prime is 13040402213. The next prime is 13040402237. The reversal of 13040402232 is 23220404031.

It is a junction number, because it is equal to n+sod(n) for n = 13040402199 and 13040402208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13040402237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2011348 + ... + 2017820.

It is an arithmetic number, because the mean of its divisors is an integer number (299778570).

Almost surely, 213040402232 is an apocalyptic number.

13040402232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13040402232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19185828480).

13040402232 is an abundant number, since it is smaller than the sum of its proper divisors (25331254728).

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

13040402232 is a wasteful number, since it uses less digits than its factorization.

13040402232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7093 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 13040402232 its reverse (23220404031), we get a palindrome (36260806263).

The spelling of 13040402232 in words is "thirteen billion, forty million, four hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 587 858 1144 1174 1716 1761 2348 3432 3522 4696 6457 6473 7044 7631 12914 12946 14088 15262 19371 19419 22893 25828 25892 30524 38742 38838 45786 51656 51784 61048 71203 77484 77676 83941 84149 91572 142406 154968 155352 167882 168298 183144 213609 251823 252447 284812 335764 336596 427218 503646 504894 569624 671528 673192 854436 925639 1007292 1009788 1708872 1851278 2014584 2019576 2776917 3702556 3799651 5553834 7405112 7599302 11107668 11398953 15198604 22215336 22797906 30397208 41796161 45595812 49395463 83592322 91191624 98790926 125388483 148186389 167184644 197581852 250776966 296372778 334369288 395163704 501553932 543350093 592745556 1003107864 1086700186 1185491112 1630050279 2173400372 3260100558 4346800744 6520201116 13040402232