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311913742374 = 232132983104309
BaseRepresentation
bin1001000100111111000…
…00100000000000100110
31002211002210201211212200
410202133200200000212
520102244404223444
6355142521555330
731351341031203
oct4423740400046
91084083654780
10311913742374
111103111a3283
125054b345b46
132354b151a00
141114d508caa
1581a8591969
hex489f820026

311913742374 has 72 divisors (see below), whose sum is σ = 732549102480. Its totient is φ = 95874906816.

The previous prime is 311913742369. The next prime is 311913742391. The reversal of 311913742374 is 473247319113.

311913742374 is a `hidden beast` number, since 3 + 1 + 191 + 37 + 423 + 7 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2938132 + ... + 3042440.

It is an arithmetic number, because the mean of its divisors is an integer number (10174293090).

Almost surely, 2311913742374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311913742374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366274551240).

311913742374 is an abundant number, since it is smaller than the sum of its proper divisors (420635360106).

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

311913742374 is a wasteful number, since it uses less digits than its factorization.

311913742374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105326 (or 105310 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 311913742374 in words is "three hundred eleven billion, nine hundred thirteen million, seven hundred forty-two thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 983 1014 1521 1966 2949 3042 5898 8847 12779 17694 25558 38337 76674 104309 115011 166127 208618 230022 312927 332254 498381 625854 938781 996762 1356017 1495143 1877562 2712034 2990286 4068051 8136102 12204153 17628221 24408306 35256442 52884663 102535747 105769326 158653989 205071494 307607241 317307978 615214482 922821723 1332964711 1845643446 2665929422 3998894133 7997788266 11996682399 17328541243 23993364798 34657082486 51985623729 103971247458 155956871187 311913742374