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131314227214564 = 2219243270132
BaseRepresentation
bin11101110110110111111001…
…110111011111100011100100
3122012221111222021101010100201
4131312313321313133203210
5114202423014131331224
61143140531224120244
736442065651543622
oct3566677167374344
9565844867333321
10131314227214564
11389280619a9289
12128896b1006084
135836b56083984
14245d8dd088512
15102abb7534a44
hex776df9ddf8e4

131314227214564 has 81 divisors (see below), whose sum is σ = 248338034158473. Its totient is φ = 60746266907424.

The previous prime is 131314227214517. The next prime is 131314227214609. The reversal of 131314227214564 is 465412722413131.

It is a happy number.

The square root of 131314227214564 is 11459242.

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

It can be written as a sum of positive squares in only one way, i.e., 110560808744100 + 20753418470464 = 10514790^2 + 4555592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18724397922 + ... + 18724404934.

Almost surely, 2131314227214564 is an apocalyptic number.

131314227214564 is the 11459242-nd square number.

It is an amenable number.

131314227214564 is a deficient number, since it is larger than the sum of its proper divisors (117023806943909).

131314227214564 is an frugal number, since it uses more digits than its factorization.

131314227214564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14154 (or 7077 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

Adding to 131314227214564 its reverse (465412722413131), we get a palindrome (596726949627695).

The spelling of 131314227214564 in words is "one hundred thirty-one trillion, three hundred fourteen billion, two hundred twenty-seven million, two hundred fourteen thousand, five hundred sixty-four".

Divisors: 1 2 4 19 38 43 76 86 172 361 722 817 1444 1634 1849 3268 3698 7013 7396 14026 15523 28052 31046 35131 62092 70262 133247 140524 266494 301559 532988 603118 667489 1206236 1334978 2531693 2669956 5063386 5729621 10126772 11459242 12967037 22918484 25934074 49182169 51868148 98364338 108862799 196728676 217725598 246373703 435451196 492747406 934461211 985494812 1868922422 2114833267 3737844844 4229666534 4681100357 8459333068 9362200714 17754763009 18724401428 35509526018 40181832073 71019052036 80363664146 90937830481 160727328292 181875660962 363751321924 763454809387 1526909618774 1727818779139 3053819237548 3455637558278 6911275116556 32828556803641 65657113607282 131314227214564