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232013404322040 = 233511175767730547
BaseRepresentation
bin110100110000001111010100…
…100011000011100011111000
31010102111021011001202210001110
4310300033110203003203320
5220402301423001301130
62141241253030520320
766604262306252145
oct6460172443034370
91112437131683043
10232013404322040
1167a21372187790
12220319038060a0
139c5ca02029aa3
144141719b973cc
151bc5303a11ab0
hexd303d48c38f8

232013404322040 has 64 divisors (see below), whose sum is σ = 759316595967360. Its totient is φ = 56245673774720.

The previous prime is 232013404322017. The next prime is 232013404322057. The reversal of 232013404322040 is 40223404310232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232013404321989 and 232013404322007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87883863954 + ... + 87883866593.

It is an arithmetic number, because the mean of its divisors is an integer number (11864321811990).

Almost surely, 2232013404322040 is an apocalyptic number.

232013404322040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232013404322040 is an abundant number, since it is smaller than the sum of its proper divisors (527303191645320).

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

232013404322040 is a wasteful number, since it uses less digits than its factorization.

232013404322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175767730572 (or 175767730568 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 232013404322040 its reverse (40223404310232), we get a palindrome (272236808632272).

The spelling of 232013404322040 in words is "two hundred thirty-two trillion, thirteen billion, four hundred four million, three hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 175767730547 351535461094 527303191641 703070922188 878838652735 1054606383282 1406141844376 1757677305470 1933445036017 2109212766564 2636515958205 3515354610940 3866890072034 4218425533128 5273031916410 5800335108051 7030709221880 7733780144068 9667225180085 10546063832820 11600670216102 15467560288136 19334450360170 21092127665640 23201340432204 29001675540255 38668900720340 46402680864408 58003351080510 77337801440680 116006702161020 232013404322040