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320314469412 = 223727313615483
BaseRepresentation
bin1001010100101000011…
…10101110110000100100
31010121210021011222221010
410222110032232300210
520222001001010122
6403052254422220
732066456031600
oct4522416566044
91117707158833
10320314469412
111139321928a3
12520b4801970
13242896cc302
14117090c6500
1584ead45e0c
hex4a943aec24

320314469412 has 144 divisors (see below), whose sum is σ = 882143341632. Its totient is φ = 90181969920.

The previous prime is 320314469261. The next prime is 320314469483. The reversal of 320314469412 is 214964413023.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 58416823 + ... + 58422305.

It is an arithmetic number, because the mean of its divisors is an integer number (6125995428).

Almost surely, 2320314469412 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 320314469412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441071670816).

320314469412 is an abundant number, since it is smaller than the sum of its proper divisors (561828872220).

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

320314469412 is a wasteful number, since it uses less digits than its factorization.

320314469412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938 (or 6929 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 320314469412 in words is "three hundred twenty billion, three hundred fourteen million, four hundred sixty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 146 147 196 219 292 294 438 511 588 876 1022 1361 1533 2044 2722 3066 3577 4083 5444 5483 6132 7154 8166 9527 10731 10966 14308 16332 16449 19054 21462 21932 28581 32898 38108 38381 42924 57162 65796 66689 76762 99353 114324 115143 133378 153524 198706 200067 230286 266756 268667 298059 397412 400134 400259 460572 537334 596118 695471 800268 800518 806001 1074668 1192236 1200777 1390942 1601036 1612002 2086413 2401554 2781884 2801813 3224004 4172826 4803108 4868297 5603626 7462363 8345652 8405439 9736594 11207252 14604891 14924726 16810878 19473188 19612691 22387089 29209782 29849452 33621756 39225382 44774178 52236541 58419564 58838073 78450764 89548356 104473082 117676146 156709623 208946164 235352292 313419246 365655787 544752499 626838492 731311574 1089504998 1096967361 1462623148 1634257497 2179009996 2193934722 3268514994 3813267493 4387869444 6537029988 7626534986 11439802479 15253069972 22879604958 26692872451 45759209916 53385744902 80078617353 106771489804 160157234706 320314469412