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43116281962312 = 231317297489112289
BaseRepresentation
bin10011100110110110010101…
…01010111001111101001000
312122122212122211020000101111
421303123022222321331020
521122404121140243222
6231411202501500104
712040022442502156
oct1163331252717510
9178585584200344
1043116281962312
1112813570146149
124a04283711634
131b09b03c13c10
14a90ba6a003d6
154eb847cda777
hex2736caab9f48

43116281962312 has 128 divisors (see below), whose sum is σ = 95375308140000. Its totient is φ = 18080832946176.

The previous prime is 43116281962297. The next prime is 43116281962331. The reversal of 43116281962312 is 21326918261134.

It can be written as a sum of positive squares in 16 ways, for example, as 19071440131396 + 24044841830916 = 4367086^2 + 4903554^2 .

It is a super-2 number, since 2×431162819623122 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383919864 + ... + 384032152.

Almost surely, 243116281962312 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 43116281962312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47687654070000).

43116281962312 is an abundant number, since it is smaller than the sum of its proper divisors (52259026177688).

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

43116281962312 is a wasteful number, since it uses less digits than its factorization.

43116281962312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119843 (or 119839 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

The spelling of 43116281962312 in words is "forty-three trillion, one hundred sixteen billion, two hundred eighty-one million, nine hundred sixty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 17 26 29 34 52 58 68 104 116 136 221 232 377 442 493 754 884 986 1508 1768 1972 3016 3944 6409 7489 12818 14978 25636 29956 51272 59912 97357 112289 127313 194714 217181 224578 254626 389428 434362 449156 509252 778856 868724 898312 1018504 1459757 1655069 1737448 1908913 2823353 2919514 3256381 3310138 3692077 3817826 5646706 5839028 6512762 6620276 7384154 7635652 11293412 11678056 13025524 13240552 14768308 15271304 22586824 24815869 26051048 29536616 42332953 47997001 49631738 55358477 84665906 95994002 99263476 110716954 169331812 191988004 198526952 221433908 338663624 383976008 442867816 719660201 840932321 1439320402 1681864642 2878640804 3363729284 5757281608 6727458568 10932120173 14295849457 21864240346 24387037309 28591698914 43728480692 48774074618 57183397828 87456961384 97548149236 114366795656 185846042941 195096298472 317031485017 371692085882 414579634253 634062970034 743384171764 829159268506 1268125940068 1486768343528 1658318537012 2536251880136 3316637074024 5389535245289 10779070490578 21558140981156 43116281962312