Search a number
-
+
14863023396 = 22341325212
BaseRepresentation
bin11011101011110011…
…11011110100100100
31102100211101211010000
431311321323310210
5220414413222041
610454502101300
71034214420504
oct156571736444
942324354100
1014863023396
116337875511
122a6971a830
13152b359c00
14a0dd69a04
155beca8bb6
hex375e7bd24

14863023396 has 135 divisors (see below), whose sum is σ = 42154536963. Its totient is φ = 4564460160.

The previous prime is 14863023389. The next prime is 14863023403. The reversal of 14863023396 is 69332036841.

The square root of 14863023396 is 121914.

It is a perfect power (a square), and thus also a powerful number.

14863023396 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 302 + 339 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (14863023389) and next prime (14863023403).

It can be written as a sum of positive squares in 4 ways, for example, as 4890204900 + 9972818496 = 69930^2 + 99864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28527616 + ... + 28528136.

Almost surely, 214863023396 is an apocalyptic number.

14863023396 is the 121914-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14863023396

14863023396 is an abundant number, since it is smaller than the sum of its proper divisors (27291513567).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14863023396 is an equidigital number, since it uses as much as digits as its factorization.

14863023396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 14863023396 in words is "fourteen billion, eight hundred sixty-three million, twenty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 521 676 702 1014 1042 1053 1404 1521 1563 2028 2084 2106 3042 3126 4212 4563 4689 6084 6252 6773 9126 9378 13546 13689 14067 18252 18756 20319 27092 27378 28134 40638 42201 54756 56268 60957 81276 84402 88049 121914 168804 176098 182871 243828 264147 271441 352196 365742 528294 542882 548613 731484 792441 814323 1056588 1085764 1097226 1584882 1628646 2194452 2377323 2442969 3169764 3257292 3528733 4754646 4885938 7057466 7131969 7328907 9509292 9771876 10586199 14114932 14263938 14657814 21172398 21986721 28527876 29315628 31758597 42344796 43973442 45873529 63517194 87946884 91747058 95275791 127034388 137620587 183494116 190551582 275241174 285827373 381103164 412861761 550482348 571654746 825723522 1143309492 1238585283 1651447044 2477170566 3715755849 4954341132 7431511698 14863023396