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232005405154113 = 32413631376945943
BaseRepresentation
bin110100110000000111110111…
…110000101001101101000001
31010102110111111120220221112200
4310300013313300221231001
5220402134032204412423
62141233451200543413
766603560135405643
oct6460076760515501
91112414446827480
10232005405154113
1167a18a379284a8
1222030250921b69
139c5c028a18626
14414119b668893
151bc4ed662cd43
hexd301f7c29b41

232005405154113 has 48 divisors (see below), whose sum is σ = 343485680079360. Its totient is φ = 150812958067200.

The previous prime is 232005405154099. The next prime is 232005405154247. The reversal of 232005405154113 is 311451504500232.

232005405154113 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 0 + 54 + 0 + 51 + 541 + 13 = 666.

It is not a de Polignac number, because 232005405154113 - 216 = 232005405088577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232005405154013) 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 47 ways as a sum of consecutive naturals, for example, 5049830220 + ... + 5049876162.

It is an arithmetic number, because the mean of its divisors is an integer number (7155951668320).

Almost surely, 2232005405154113 is an apocalyptic number.

It is an amenable number.

232005405154113 is a deficient number, since it is larger than the sum of its proper divisors (111480274925247).

232005405154113 is a wasteful number, since it uses less digits than its factorization.

232005405154113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53390 (or 53387 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 232005405154113 its reverse (311451504500232), we get a palindrome (543456909654345).

The spelling of 232005405154113 in words is "two hundred thirty-two trillion, five billion, four hundred five million, one hundred fifty-four thousand, one hundred thirteen".

Divisors: 1 3 9 41 123 369 3631 3769 10893 11307 32679 33921 45943 137829 148871 154529 413487 446613 463587 1339839 1390761 1883663 5650989 13685239 16952967 41055717 123167151 166819033 173159167 500457099 519477501 561094799 1501371297 1558432503 1683284397 5049853191 6839580353 7099525847 20518741059 21298577541 61556223177 63895732623 628740935377 1886222806131 5658668418393 25778378350457 77335135051371 232005405154113