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314781016116 = 223747181440507
BaseRepresentation
bin1001001010010100110…
…10010010000000110100
31010002111122000110000110
410211022122102000310
520124132420003431
6400335225343020
731512365326650
oct4451232220064
91102448013013
10314781016116
1111155274a4a6
125100b637a70
13238b71a48a8
1411342241a60
1582c5169346
hex494a692034

314781016116 has 96 divisors (see below), whose sum is σ = 862014246912. Its totient is φ = 87537352320.

The previous prime is 314781016097. The next prime is 314781016181. The reversal of 314781016116 is 611610187413.

It is a congruent number.

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, 494335 + ... + 934841.

It is an arithmetic number, because the mean of its divisors is an integer number (8979315072).

Almost surely, 2314781016116 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 314781016116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431007123456).

314781016116 is an abundant number, since it is smaller than the sum of its proper divisors (547233230796).

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

314781016116 is a wasteful number, since it uses less digits than its factorization.

314781016116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440749 (or 440747 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 314781016116 in words is "three hundred fourteen billion, seven hundred eighty-one million, sixteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 181 188 282 329 362 543 564 658 724 987 1086 1267 1316 1974 2172 2534 3801 3948 5068 7602 8507 15204 17014 25521 34028 51042 59549 102084 119098 178647 238196 357294 440507 714588 881014 1321521 1762028 2643042 3083549 5286084 6167098 9250647 12334196 18501294 20703829 37002588 41407658 62111487 79731767 82815316 124222974 144926803 159463534 239195301 248445948 289853606 318927068 434780409 478390602 558122369 579707212 869560818 956781204 1116244738 1674367107 1739121636 2232489476 3348734214 3747393049 6697468428 7494786098 11242179147 14989572196 22484358294 26231751343 44968716588 52463502686 78695254029 104927005372 157390508058 314781016116