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313202404004 = 227239711873391
BaseRepresentation
bin1001000111011000101…
…00010110101010100100
31002221102121120122022012
410203230110112222210
520112414303412004
6355514434253352
731425306336200
oct4435424265244
91087377518265
10313202404004
11110912656896
125084aa27258
13236c5119b99
1411232717b00
15823179246e
hex48ec516aa4

313202404004 has 72 divisors (see below), whose sum is σ = 639923784192. Its totient is φ = 133739242560.

The previous prime is 313202403967. The next prime is 313202404027. The reversal of 313202404004 is 400404202313.

It is an unprimeable number.

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, 92361149 + ... + 92364539.

It is an arithmetic number, because the mean of its divisors is an integer number (8887830336).

Almost surely, 2313202404004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313202404004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319961892096).

313202404004 is an abundant number, since it is smaller than the sum of its proper divisors (326721380188).

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

313202404004 is a wasteful number, since it uses less digits than its factorization.

313202404004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 313202404004 its reverse (400404202313), we get a palindrome (713606606317).

The spelling of 313202404004 in words is "three hundred thirteen billion, two hundred two million, four hundred four thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 397 794 1187 1588 2374 2779 3391 4748 5558 6782 8309 11116 13564 16618 19453 23737 33236 38906 47474 58163 77812 94948 116326 166159 232652 332318 471239 664636 942478 1346227 1884956 2692454 3298673 4025117 5384908 6597346 8050234 9423589 13194692 16100468 18847178 23090711 28175819 37694356 46181422 56351638 65965123 92362844 112703276 131930246 197230733 263860492 394461466 788922932 1597971449 3195942898 6391885796 11185800143 22371600286 44743200572 78300601001 156601202002 313202404004