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331044312414112 = 251129311046125469
BaseRepresentation
bin100101101000101010100001…
…0101001010111011110100000
31121102010112020022200122100221
41023101111002221113132200
5321342312222434222422
63132023354014452424
7126505106445215113
oct11321250251273640
91542115208618327
10331044312414112
1196532117061010
1231166732504114
1311294463439c7b
145ba68b743257a
15284135026d3c7
hex12d1542a577a0

331044312414112 has 96 divisors (see below), whose sum is σ = 759236021107200. Its totient is φ = 140599262899200.

The previous prime is 331044312414103. The next prime is 331044312414133. The reversal of 331044312414112 is 211414213440133.

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, 522746287 + ... + 523379182.

It is an arithmetic number, because the mean of its divisors is an integer number (7908708553200).

Almost surely, 2331044312414112 is an apocalyptic number.

331044312414112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331044312414112 is an abundant number, since it is smaller than the sum of its proper divisors (428191708693088).

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

331044312414112 is a wasteful number, since it uses less digits than its factorization.

331044312414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046125550 (or 1046125542 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 331044312414112 its reverse (211414213440133), we get a palindrome (542458525854245).

The spelling of 331044312414112 in words is "three hundred thirty-one trillion, forty-four billion, three hundred twelve million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 31 32 44 58 62 88 116 124 176 232 248 319 341 352 464 496 638 682 899 928 992 1276 1364 1798 2552 2728 3596 5104 5456 7192 9889 10208 10912 14384 19778 28768 39556 79112 158224 316448 1046125469 2092250938 4184501876 8369003752 11507380159 16738007504 23014760318 30337638601 32429889539 33476015008 46029520636 60675277202 64859779078 92059041272 121350554404 129719558156 184118082544 242701108808 259439116312 333714024611 356728784929 368236165088 485402217616 518878232624 667428049222 713457569858 940466796631 970804435232 1037756465248 1334856098444 1426915139716 1880933593262 2669712196888 2853830279432 3761867186524 5339424393776 5707660558864 7523734373048 10345134762941 10678848787552 11415321117728 15047468746096 20690269525882 30094937492192 41380539051764 82761078103528 165522156207056 331044312414112