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313344663372 = 2232131935238941
BaseRepresentation
bin1001000111101001100…
…11000001111101001100
31002221210112021011110200
410203310303001331030
520113212213211442
6355540515333500
731431654456426
oct4436463017514
91087715234420
10313344663372
11110985991414
125088a5b1290
1323718738720
1411247589816
15823dee334c
hex48f4cc1f4c

313344663372 has 72 divisors (see below), whose sum is σ = 897888242160. Its totient is φ = 91339332480.

The previous prime is 313344663361. The next prime is 313344663383. The reversal of 313344663372 is 273366443313.

It is a happy number.

313344663372 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 4 + 4 + 6 + 633 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (313344663361) and next prime (313344663383).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17610579 + ... + 17628362.

It is an arithmetic number, because the mean of its divisors is an integer number (12470670030).

Almost surely, 2313344663372 is an apocalyptic number.

It is an amenable number.

313344663372 is an abundant number, since it is smaller than the sum of its proper divisors (584543578788).

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

313344663372 is a wasteful number, since it uses less digits than its factorization.

313344663372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35238983 (or 35238978 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 45.

The spelling of 313344663372 in words is "three hundred thirteen billion, three hundred forty-four million, six hundred sixty-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 35238941 70477882 105716823 140955764 211433646 317150469 422867292 458106233 634300938 669539879 916212466 1268601876 1339079758 1374318699 1832424932 2008619637 2678159516 2748637398 4017239274 4122956097 5497274796 6025858911 8034478548 8245912194 8704018427 12051717822 16491824388 17408036854 24103435644 26112055281 34816073708 52224110562 78336165843 104448221124 156672331686 313344663372