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313008613404 = 223234731177587
BaseRepresentation
bin1001000111000001100…
…01000110100000011100
31002220221002221001120120
410203200301012200130
520112020201112104
6355443312514540
731420434213054
oct4434061064034
91086832831516
10313008613404
11110823225073
12507b5b4ba50
1323693c27ca6
1411214ab0564
15821e762cd9
hex48e0c4681c

313008613404 has 96 divisors (see below), whose sum is σ = 780835700736. Its totient is φ = 97361119680.

The previous prime is 313008613403. The next prime is 313008613417. The reversal of 313008613404 is 404316800313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313008613403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3995499 + ... + 4073085.

It is an arithmetic number, because the mean of its divisors is an integer number (8133705216).

Almost surely, 2313008613404 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 313008613404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390417850368).

313008613404 is an abundant number, since it is smaller than the sum of its proper divisors (467827087332).

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

313008613404 is a wasteful number, since it uses less digits than its factorization.

313008613404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77975 (or 77973 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 313008613404 in words is "three hundred thirteen billion, eight million, six hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 311 564 622 933 1081 1244 1866 2162 3243 3732 4324 6486 7153 12972 14306 14617 21459 28612 29234 42918 43851 58468 77587 85836 87702 155174 175404 232761 310348 336191 465522 672382 931044 1008573 1344764 1784501 2017146 3569002 3646589 4034292 5353503 7138004 7293178 10707006 10939767 14586356 21414012 21879534 24129557 43759068 48259114 72388671 83871547 96518228 144777342 167743094 251614641 289554684 335486188 503229282 554979811 1006458564 1109959622 1134089179 1664939433 2219919244 2268178358 3329878866 3402267537 4536356716 6659757732 6804535074 13609070148 26084051117 52168102234 78252153351 104336204468 156504306702 313008613404