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131044255035232 = 25711229166719577
BaseRepresentation
bin11101110010111100011110…
…010001010110111101100000
3122011222201010110002102202211
4131302330132101112331200
5114134012113242111412
61142412522155251504
736413430542101030
oct3562743621267540
9564881113072684
10131044255035232
1138833613718100
1212845307a49b94
13581756030b1b6
14245080bd538c0
151023b66147ca7
hex772f1e456f60

131044255035232 has 144 divisors (see below), whose sum is σ = 335266402574880. Its totient is φ = 49295644231680.

The previous prime is 131044255035191. The next prime is 131044255035233. The reversal of 131044255035232 is 232530552440131.

It is a super-2 number, since 2×1310442550352322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131044255035233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82573773 + ... + 84145804.

It is an arithmetic number, because the mean of its divisors is an integer number (2328238906770).

Almost surely, 2131044255035232 is an apocalyptic number.

It is an amenable number.

131044255035232 is an abundant number, since it is smaller than the sum of its proper divisors (204222147539648).

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

131044255035232 is a wasteful number, since it uses less digits than its factorization.

131044255035232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166719645 (or 166719626 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 131044255035232 in words is "one hundred thirty-one trillion, forty-four billion, two hundred fifty-five million, thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 77 88 112 116 121 154 176 203 224 232 242 308 319 352 406 464 484 616 638 812 847 928 968 1232 1276 1624 1694 1936 2233 2464 2552 3248 3388 3509 3872 4466 5104 6496 6776 7018 8932 10208 13552 14036 17864 24563 27104 28072 35728 49126 56144 71456 98252 112288 196504 393008 786016 166719577 333439154 666878308 1167037039 1333756616 1833915347 2334074078 2667513232 3667830694 4668148156 4834867733 5335026464 7335661388 9336296312 9669735466 12837407429 14671322776 18672592624 19339470932 20173068817 25674814858 29342645552 33844074131 37345185248 38678941864 40346137634 51349629716 53183545063 58685291104 67688148262 77357883728 80692275268 102699259432 106367090126 135376296524 141211481719 154715767456 161384550536 205398518864 212734180252 270752593048 282422963438 322769101072 372284815441 410797037728 425468360504 541505186096 564845926876 585018995693 645538202144 744569630882 850936721008 1083010372192 1129691853752 1170037991386 1489139261764 1701873442016 2259383707504 2340075982772 2978278523528 4095132969851 4518767415008 4680151965544 5956557047056 8190265939702 9360303931088 11913114094112 16380531879404 18720607862176 32761063758808 65522127517616 131044255035232