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31440412103232 = 2631118182246181
BaseRepresentation
bin1110010011000010010101…
…00110000101001001000000
311010022200012101012002211010
413021201022212011021000
513110104430444300412
6150511305333320520
76423331502301216
oct711411246051100
9133280171162733
1031440412103232
11a021892a89670
123639442496140
131470a835b6c32
147a9a1cb98cb6
15397c85bc533c
hex1c984a985240

31440412103232 has 112 divisors (see below), whose sum is σ = 91249836035904. Its totient is φ = 9474759936000.

The previous prime is 31440412103213. The next prime is 31440412103263. The reversal of 31440412103232 is 23230121404413.

It is a self number, because there is not a number n which added to its sum of digits gives 31440412103232.

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, 40740819 + ... + 41505362.

It is an arithmetic number, because the mean of its divisors is an integer number (814730678892).

Almost surely, 231440412103232 is an apocalyptic number.

31440412103232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31440412103232 is an abundant number, since it is smaller than the sum of its proper divisors (59809423932672).

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

31440412103232 is a wasteful number, since it uses less digits than its factorization.

31440412103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82246388 (or 82246378 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 31440412103232 its reverse (23230121404413), we get a palindrome (54670533507645).

It can be divided in two parts, 314404 and 12103232, that added together give a triangular number (12417636 = T4983).

The spelling of 31440412103232 in words is "thirty-one trillion, four hundred forty billion, four hundred twelve million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 181 192 264 352 362 528 543 704 724 1056 1086 1448 1991 2112 2172 2896 3982 4344 5792 5973 7964 8688 11584 11946 15928 17376 23892 31856 34752 47784 63712 95568 127424 191136 382272 82246181 164492362 246738543 328984724 493477086 657969448 904707991 986954172 1315938896 1809415982 1973908344 2631877792 2714123973 3618831964 3947816688 5263755584 5428247946 7237663928 7895633376 10856495892 14475327856 14886558761 15791266752 21712991784 28950655712 29773117522 43425983568 44659676283 57901311424 59546235044 86851967136 89319352566 119092470088 163752146371 173703934272 178638705132 238184940176 327504292742 357277410264 476369880352 491256439113 655008585484 714554820528 952739760704 982512878226 1310017170968 1429109641056 1965025756452 2620034341936 2858219282112 3930051512904 5240068683872 7860103025808 10480137367744 15720206051616 31440412103232