Search a number
-
+
231514005302432 = 2510376123922729
BaseRepresentation
bin110100101000111110001110…
…000010111110110010100000
31010100201112010002102000220222
4310220332032002332302200
5220321111140324134212
62140220022112422212
766523222605524066
oct6450761602766240
91110645102360828
10231514005302432
11678495a14877a6
1221b70b6bb47968
139c248a555bc18
1441254a26d4036
151bb7325a41c72
hexd28f8e0beca0

231514005302432 has 48 divisors (see below), whose sum is σ = 460224919103040. Its totient is φ = 114631518131712.

The previous prime is 231514005302401. The next prime is 231514005302441. The reversal of 231514005302432 is 234203500415132.

It is a super-2 number, since 2×2315140053024322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231514005302392 and 231514005302401.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 250440044 + ... + 251362772.

It is an arithmetic number, because the mean of its divisors is an integer number (9588019147980).

Almost surely, 2231514005302432 is an apocalyptic number.

It is an amenable number.

231514005302432 is a deficient number, since it is larger than the sum of its proper divisors (228710913800608).

231514005302432 is a wasteful number, since it uses less digits than its factorization.

231514005302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998965 (or 998957 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 231514005302432 its reverse (234203500415132), we get a palindrome (465717505717564).

The spelling of 231514005302432 in words is "two hundred thirty-one trillion, five hundred fourteen billion, five million, three hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 103 206 412 824 1648 3296 76123 152246 304492 608984 922729 1217968 1845458 2435936 3690916 7381832 7840669 14763664 15681338 29527328 31362676 62725352 95041087 125450704 190082174 250901408 380164348 760328696 1520657392 3041314784 70240899667 140481799334 280963598668 561927197336 1123854394672 2247708789344 7234812665701 14469625331402 28939250662804 57878501325608 115757002651216 231514005302432