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131404355131112 = 2373531153783647
BaseRepresentation
bin11101111000001011110101…
…111010001101011011101000
3122020021010121102221122222222
4131320023311322031123220
5114210412104403143422
61143250154414133212
736451436263313000
oct3570136572153350
9566233542848888
10131404355131112
1138962301848a28
12128a30647b1208
1358424ba5422cb
14246400cd63000
15102d1dec2c842
hex7782f5e8d6e8

131404355131112 has 128 divisors (see below), whose sum is σ = 293002852608000. Its totient is φ = 55205591261184.

The previous prime is 131404355131103. The next prime is 131404355131139. The reversal of 131404355131112 is 211131553404131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167291273 + ... + 168074919.

It is an arithmetic number, because the mean of its divisors is an integer number (2289084786000).

Almost surely, 2131404355131112 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 131404355131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146501426304000).

131404355131112 is an abundant number, since it is smaller than the sum of its proper divisors (161598497476888).

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

131404355131112 is a wasteful number, since it uses less digits than its factorization.

131404355131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784880 (or 784862 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 131404355131112 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred fifty-five million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 196 212 343 371 392 424 686 742 1153 1372 1484 2306 2597 2744 2968 4612 5194 8071 9224 10388 16142 18179 20776 32284 36358 56497 61109 64568 72716 112994 122218 145432 225988 244436 395479 427763 451976 488872 783647 790958 855526 1567294 1581916 1711052 2994341 3134588 3163832 3422104 5485529 5988682 6269176 10971058 11977364 20960387 21942116 23954728 38398703 41533291 41920774 43884232 76797406 83066582 83841548 153594812 166133164 167683096 268790921 290733037 307189624 332266328 537581842 581466074 903544991 1075163684 1162932148 1807089982 2035131259 2150327368 2325864296 3614179964 4070262518 6324814937 7228359928 8140525036 12649629874 14245918813 16281050072 25299259748 28491837626 44273704559 47887884523 50598519496 56983675252 88547409118 95775769046 113967350504 177094818236 191551538092 309915931913 335215191661 354189636472 383103076184 619831863826 670430383322 1239663727652 1340860766644 2346506341627 2479327455304 2681721533288 4693012683254 9386025366508 16425544391389 18772050733016 32851088782778 65702177565556 131404355131112