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314037165216 = 25323314587967
BaseRepresentation
bin1001001000111100001…
…00101101110010100000
31010000120210022220102010
410210132010231302200
520121122003241331
6400133334152520
731455063601305
oct4443604556240
91100523286363
10314037165216
1111120087a295
1250a424b2740
13237c9050c28
14112b15310ac
15827ebd3e46
hex491e12dca0

314037165216 has 96 divisors (see below), whose sum is σ = 887936974848. Its totient is φ = 96897841920.

The previous prime is 314037165199. The next prime is 314037165241. The reversal of 314037165216 is 612561730413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3140371652162 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2225536 + ... + 2362431.

It is an arithmetic number, because the mean of its divisors is an integer number (9249343488).

Almost surely, 2314037165216 is an apocalyptic number.

It is an amenable number.

314037165216 is an abundant number, since it is smaller than the sum of its proper divisors (573899809632).

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

314037165216 is a wasteful number, since it uses less digits than its factorization.

314037165216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4588034 (or 4588026 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

Adding to 314037165216 its reverse (612561730413), we get a palindrome (926598895629).

The spelling of 314037165216 in words is "three hundred fourteen billion, thirty-seven million, one hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 124 138 184 186 248 276 368 372 496 552 713 736 744 992 1104 1426 1488 2139 2208 2852 2976 4278 5704 8556 11408 17112 22816 34224 68448 4587967 9175934 13763901 18351868 27527802 36703736 55055604 73407472 105523241 110111208 142226977 146814944 211046482 220222416 284453954 316569723 422092964 426680931 440444832 568907908 633139446 844185928 853361862 1137815816 1266278892 1688371856 1706723724 2275631632 2532557784 3271220471 3376743712 3413447448 4551263264 5065115568 6542440942 6826894896 9813661413 10130231136 13084881884 13653789792 19627322826 26169763768 39254645652 52339527536 78509291304 104679055072 157018582608 314037165216