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13125332014140 = 22352917343602857
BaseRepresentation
bin1011111011111111101011…
…0000001001010000111100
31201110202202221210112010010
42332333322300021100330
53210021134443423030
643525405544343220
72523162651215463
oct276777260112074
951422687715103
1013125332014140
114200470821a75
12157b93b174b10
1374293772ab28
143353ab5779da
1517b6477c86b0
hexbeffac0943c

13125332014140 has 96 divisors (see below), whose sum is σ = 38237962351680. Its totient is φ = 3359861671936.

The previous prime is 13125332014139. The next prime is 13125332014159. The reversal of 13125332014140 is 4141023352131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13125332014098 and 13125332014107.

It is a congruent number.

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, 21500409 + ... + 22102448.

It is an arithmetic number, because the mean of its divisors is an integer number (398312107830).

Almost surely, 213125332014140 is an apocalyptic number.

13125332014140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13125332014140 is an abundant number, since it is smaller than the sum of its proper divisors (25112630337540).

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

13125332014140 is a wasteful number, since it uses less digits than its factorization.

13125332014140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43603071 (or 43603069 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 13125332014140 its reverse (4141023352131), we get a palindrome (17266355366271).

The spelling of 13125332014140 in words is "thirteen trillion, one hundred twenty-five billion, three hundred thirty-two million, fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 173 174 290 346 348 435 519 580 692 865 870 1038 1730 1740 2076 2595 3460 5017 5190 10034 10380 15051 20068 25085 30102 50170 60204 75255 100340 150510 301020 43602857 87205714 130808571 174411428 218014285 261617142 436028570 523234284 654042855 872057140 1264482853 1308085710 2528965706 2616171420 3793448559 5057931412 6322414265 7543294261 7586897118 12644828530 15086588522 15173794236 18967242795 22629882783 25289657060 30173177044 37716471305 37934485590 45259765566 75432942610 75868971180 90519531132 113149413915 150865885220 218755533569 226298827830 437511067138 452597655660 656266600707 875022134276 1093777667845 1312533201414 2187555335690 2625066402828 3281333003535 4375110671380 6562666007070 13125332014140