Search a number
-
+
312919332345 = 32529475101807
BaseRepresentation
bin1001000110110110111…
…00100001010111111001
31002220200212221002222200
410203123130201113321
520111324322113340
6355430403140413
731415301303324
oct4433334412771
91086625832880
10312919332345
11110787894974
1250790074709
132367b598369
1411206cad7bb
1582169c9330
hex48db7215f9

312919332345 has 48 divisors (see below), whose sum is σ = 573035074560. Its totient is φ = 157707027072.

The previous prime is 312919332331. The next prime is 312919332389. The reversal of 312919332345 is 543233919213.

312919332345 is a `hidden beast` number, since 31 + 291 + 9 + 3 + 323 + 4 + 5 = 666.

It is not a de Polignac number, because 312919332345 - 26 = 312919332281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 312919332345.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2489569 + ... + 2612238.

It is an arithmetic number, because the mean of its divisors is an integer number (11938230720).

Almost surely, 2312919332345 is an apocalyptic number.

It is an amenable number.

312919332345 is a deficient number, since it is larger than the sum of its proper divisors (260115742215).

312919332345 is a wasteful number, since it uses less digits than its factorization.

312919332345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101894 (or 5101891 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The spelling of 312919332345 in words is "three hundred twelve billion, nine hundred nineteen million, three hundred thirty-two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 29 45 47 87 141 145 235 261 423 435 705 1305 1363 2115 4089 6815 12267 20445 61335 5101807 15305421 25509035 45916263 76527105 147952403 229581315 239784929 443857209 719354787 739762015 1198924645 1331571627 2158064361 2219286045 3596773935 6657858135 6953762941 10790321805 20861288823 34768814705 62583866469 104306444115 312919332345