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13295341440 = 273252308219
BaseRepresentation
bin11000110000111011…
…01100111110000000
31021022120112022202100
430120131230332000
5204212101411230
610035141150400
7650320352253
oct143035547600
937276468670
1013295341440
115702967897
1226b06bb400
13133b62b254
14901a8909a
1552c340660
hex31876cf80

13295341440 has 96 divisors (see below), whose sum is σ = 45910495800. Its totient is φ = 3545422848.

The previous prime is 13295341403. The next prime is 13295341459. The reversal of 13295341440 is 4414359231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×132953414402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13295341395 and 13295341404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1148350 + ... + 1159869.

Almost surely, 213295341440 is an apocalyptic number.

13295341440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13295341440 is an abundant number, since it is smaller than the sum of its proper divisors (32615154360).

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

13295341440 is a wasteful number, since it uses less digits than its factorization.

13295341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308244 (or 2308229 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13295341440 in words is "thirteen billion, two hundred ninety-five million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 2308219 4616438 6924657 9232876 11541095 13849314 18465752 20773971 23082190 27698628 34623285 36931504 41547942 46164380 55397256 69246570 73863008 83095884 92328760 103869855 110794512 138493140 147726016 166191768 184657520 207739710 221589024 276986280 295452032 332383536 369315040 415479420 443178048 553972560 664767072 738630080 830958840 886356096 1107945120 1329534144 1477260160 1661917680 2215890240 2659068288 3323835360 4431780480 6647670720 13295341440