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125314150040232 = 23332037559215659
BaseRepresentation
bin11100011111100011111001…
…011001100000001010101000
3121102200220201120121201011220
4130133203321121200022220
5112411121334402241412
61122304305323022040
735252435313215406
oct3437437131401250
9542626646551156
10125314150040232
1136a2448384569a
121207a87b36a920
1354c00c5a429ba
1422d3346d2a476
15e74a9690568c
hex71f8f96602a8

125314150040232 has 64 divisors (see below), whose sum is σ = 313426096704000. Its totient is φ = 41752624089024.

The previous prime is 125314150040161. The next prime is 125314150040237. The reversal of 125314150040232 is 232040051413521.

It is a super-2 number, since 2×1253141500402322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125314150040193 and 125314150040202.

It is not an unprimeable number, because it can be changed into a prime (125314150040237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580967619 + ... + 581183277.

It is an arithmetic number, because the mean of its divisors is an integer number (4897282761000).

Almost surely, 2125314150040232 is an apocalyptic number.

125314150040232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125314150040232 is an abundant number, since it is smaller than the sum of its proper divisors (188111946663768).

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

125314150040232 is a wasteful number, since it uses less digits than its factorization.

125314150040232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226430 (or 226426 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 125314150040232 in words is "one hundred twenty-five trillion, three hundred fourteen billion, one hundred fifty million, forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 3203 6406 7559 9609 12812 15118 19218 22677 25624 30236 38436 45354 60472 76872 90708 181416 215659 431318 646977 862636 1293954 1725272 2587908 5175816 24211477 48422954 72634431 96845908 145268862 193691816 290537724 581075448 690755777 1381511554 1630166381 2072267331 2763023108 3260332762 4144534662 4890499143 5526046216 6520665524 8289069324 9780998286 13041331048 16578138648 19561996572 39123993144 5221422918343 10442845836686 15664268755029 20885691673372 31328537510058 41771383346744 62657075020116 125314150040232