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314137324332 = 223413173431107
BaseRepresentation
bin1001001001001000000…
…10110010101100101100
31010000211202210111220000
410210210002302230230
520121323123334312
6400151313024300
731460421125346
oct4444402625454
91100752714800
10314137324332
1111125236a317
1250a6bb55090
1323813a1bc90
14112c0964296
1582888baadc
hex49240b2b2c

314137324332 has 120 divisors (see below), whose sum is σ = 889501687536. Its totient is φ = 96098700672.

The previous prime is 314137324307. The next prime is 314137324337. The reversal of 314137324332 is 233423731413.

314137324332 is a `hidden beast` number, since 3 + 1 + 41 + 373 + 243 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (314137324337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 513123 + ... + 944229.

Almost surely, 2314137324332 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 314137324332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444750843768).

314137324332 is an abundant number, since it is smaller than the sum of its proper divisors (575364363204).

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

314137324332 is a wasteful number, since it uses less digits than its factorization.

314137324332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431309 (or 431298 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The spelling of 314137324332 in words is "three hundred fourteen billion, one hundred thirty-seven million, three hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 173 234 324 346 351 468 519 692 702 1038 1053 1404 1557 2076 2106 2249 3114 4212 4498 4671 6228 6747 8996 9342 13494 14013 18684 20241 26988 28026 40482 56052 60723 80964 121446 182169 242892 364338 431107 728676 862214 1293321 1724428 2586642 3879963 5173284 5604391 7759926 11208782 11639889 15519852 16813173 22417564 23279778 33626346 34919667 46559556 50439519 67252692 69839334 74581511 100879038 139678668 149163022 151318557 201758076 223744533 298326044 302637114 447489066 453955671 605274228 671233599 894978132 907911342 969559643 1342467198 1815822684 1939119286 2013700797 2684934396 2908678929 3878238572 4027401594 5817357858 6041102391 8054803188 8726036787 11634715716 12082204782 17452073574 24164409564 26178110361 34904147148 52356220722 78534331083 104712441444 157068662166 314137324332