Search a number
-
+
314230424032413 = 32719333178809659
BaseRepresentation
bin100011101110010100111100…
…0110011010101010010011101
31112012121010122112100012121100
41013130221320303111102131
5312141322402023014123
63032151244114023313
7123121253561120460
oct10734517063252235
91465533575305540
10314230424032413
119113a41343a149
122b2abb65277b39
1310644a56847275
145784b9584d2d7
15264dcc3b69643
hex11dca78cd549d

314230424032413 has 48 divisors (see below), whose sum is σ = 546195077209600. Its totient is φ = 170058632418720.

The previous prime is 314230424032391. The next prime is 314230424032417.

314230424032413 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 3 + 0 + 4 + 2 + 403 + 241 + 3 = 666.

314230424032413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314230424032413 - 217 = 314230423901341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314230424032417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35417623 + ... + 43392036.

Almost surely, 2314230424032413 is an apocalyptic number.

It is an amenable number.

314230424032413 is a deficient number, since it is larger than the sum of its proper divisors (231964653177187).

314230424032413 is a wasteful number, since it uses less digits than its factorization.

314230424032413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78813022 (or 78813019 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 314230424032413 in words is "three hundred fourteen trillion, two hundred thirty billion, four hundred twenty-four million, thirty-two thousand, four hundred thirteen".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 3331 9993 23317 29979 63289 69951 189867 209853 443023 569601 1329069 3987207 78809659 236428977 551667613 709286931 1497383521 1655002839 4492150563 4965008517 10481684647 13476451689 31445053941 94335161823 262514974129 787544922387 1837604818903 2362634767161 4987784508451 5512814456709 14963353525353 16538443370127 34914491559157 44890060576059 104743474677471 314230424032413