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314280016896 = 2103166961297
BaseRepresentation
bin1001001001011001000…
…11000111110000000000
31010001012201022001021210
410210230203013300000
520122121141020041
6400213411250120
731464103031556
oct4445443076000
91101181261253
10314280016896
1111131597035a
1250aab8a9940
132383745ca51
14112d58a9bd6
1582961a5016
hex492c8c7c00

314280016896 has 88 divisors (see below), whose sum is σ = 838186400080. Its totient is φ = 104695529472.

The previous prime is 314280016877. The next prime is 314280016913. The reversal of 314280016896 is 698610082413.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5096520 + ... + 5157816.

Almost surely, 2314280016896 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 314280016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419093200040).

314280016896 is an abundant number, since it is smaller than the sum of its proper divisors (523906383184).

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

314280016896 is a wasteful number, since it uses less digits than its factorization.

314280016896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62989 (or 62971 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 314280016896 in words is "three hundred fourteen billion, two hundred eighty million, sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1669 3072 3338 5007 6676 10014 13352 20028 26704 40056 53408 61297 80112 106816 122594 160224 183891 213632 245188 320448 367782 427264 490376 640896 735564 854528 980752 1281792 1471128 1709056 1961504 2563584 2942256 3923008 5127168 5884512 7846016 11769024 15692032 23538048 31384064 47076096 62768128 94152192 102304693 188304384 204609386 306914079 409218772 613828158 818437544 1227656316 1636875088 2455312632 3273750176 4910625264 6547500352 9821250528 13095000704 19642501056 26190001408 39285002112 52380002816 78570004224 104760005632 157140008448 314280016896