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135940322833344 = 26321713882794407
BaseRepresentation
bin11110111010001100010010…
…101001110011001111000000
3122211022202201211102200000100
4132322030102221303033000
5120304221240121131334
61201042042220122400
740430235632524221
oct3672142251631700
9584282654380010
10135940322833344
113a350a70312037
12132b618b096400
135ab116b01b843
14257d792333248
1510ab1be2ecc99
hex7ba312a733c0

135940322833344 has 84 divisors (see below), whose sum is σ = 412568884216944. Its totient is φ = 42647944415232.

The previous prime is 135940322833279. The next prime is 135940322833379. The reversal of 135940322833344 is 443338223049531.

135940322833344 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 40 + 3 + 228 + 33 + 344 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6941387412 + ... + 6941406995.

It is an arithmetic number, because the mean of its divisors is an integer number (4911534335916).

Almost surely, 2135940322833344 is an apocalyptic number.

It is an amenable number.

135940322833344 is an abundant number, since it is smaller than the sum of its proper divisors (276628561383600).

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

135940322833344 is a wasteful number, since it uses less digits than its factorization.

135940322833344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13882794442 (or 13882794429 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 135940322833344 in words is "one hundred thirty-five trillion, nine hundred forty billion, three hundred twenty-two million, eight hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 13882794407 27765588814 41648383221 55531177628 83296766442 111062355256 124945149663 166593532884 222124710512 236007504919 249890299326 333187065768 444249421024 472015009838 499780598652 666374131536 708022514757 888498842048 944030019676 999561197304 1332748263072 1416045029514 1888060039352 1999122394608 2124067544271 2665496526144 2832090059028 3776120078704 3998244789216 4248135088542 5664180118056 7552240157408 7996489578432 8496270177084 11328360236112 15104480314816 16992540354168 22656720472224 33985080708336 45313440944448 67970161416672 135940322833344