Search a number
-
+
314623936431 = 32719262843723
BaseRepresentation
bin1001001010000010000…
…11000100011110101111
31010002002200102222012100
410211001003010132233
520123322211431211
6400311454510143
731505450222460
oct4450103043657
91102080388170
10314623936431
11111482012182
1250b86b05353
132389079742c
1411329432d67
1582b648c156
hex49410c47af

314623936431 has 24 divisors (see below), whose sum is σ = 546714945920. Its totient is φ = 170322731856.

The previous prime is 314623936387. The next prime is 314623936439. The reversal of 314623936431 is 134639326413.

314623936431 is a `hidden beast` number, since 3 + 14 + 623 + 9 + 3 + 6 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 314623936431 - 213 = 314623928239 is a prime.

It is a super-2 number, since 2×3146239364312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314623936439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131420665 + ... + 131423058.

Almost surely, 2314623936431 is an apocalyptic number.

314623936431 is a deficient number, since it is larger than the sum of its proper divisors (232091009489).

314623936431 is a wasteful number, since it uses less digits than its factorization.

314623936431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262843755 (or 262843752 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The spelling of 314623936431 in words is "three hundred fourteen billion, six hundred twenty-three million, nine hundred thirty-six thousand, four hundred thirty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 262843723 788531169 1839906061 2365593507 4994030737 5519718183 14982092211 16559154549 34958215159 44946276633 104874645477 314623936431