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135015514340 = 22572373936847
BaseRepresentation
bin111110110111110001…
…1010100000011100100
3110220111110111202212012
41331233203110003210
54203002432424330
6142005243013352
712516544636100
oct1755743240344
9426443452765
10135015514340
1152294813303
122220050a258
13c969005bb5
14676b648900
1537a3331c95
hex1f6f8d40e4

135015514340 has 72 divisors (see below), whose sum is σ = 329920778880. Its totient is φ = 46277396928.

The previous prime is 135015514331. The next prime is 135015514349. The reversal of 135015514340 is 43415510531.

It is an interprime number because it is at equal distance from previous prime (135015514331) and next prime (135015514349).

It is a super-2 number, since 2×1350155143402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135015514297 and 135015514306.

It is not an unprimeable number, because it can be changed into a prime (135015514349) 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, 3645797 + ... + 3682643.

It is an arithmetic number, because the mean of its divisors is an integer number (4582233040).

Almost surely, 2135015514340 is an apocalyptic number.

135015514340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135015514340 is an abundant number, since it is smaller than the sum of its proper divisors (194905264540).

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

135015514340 is a wasteful number, since it uses less digits than its factorization.

135015514340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40609 (or 40600 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 135015514340 in words is "one hundred thirty-five billion, fifteen million, five hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 3739 7478 14956 18695 26173 36847 37390 52346 73694 74780 104692 130865 147388 183211 184235 257929 261730 366422 368470 515858 523460 732844 736940 916055 1031716 1289645 1805503 1832110 2579290 3611006 3664220 5158580 7222012 9027515 18055030 36110060 137770933 275541866 551083732 688854665 964396531 1377709330 1928793062 2755418660 3857586124 4821982655 6750775717 9643965310 13501551434 19287930620 27003102868 33753878585 67507757170 135015514340