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13140240352320 = 263557723722271
BaseRepresentation
bin1011111100110111001101…
…0110111100010001000000
31201112012020221110120102110
42333031303112330101000
53210242203012233240
643540313150015320
72524231256051334
oct277156326742100
951465227416373
1013140240352320
114206821128114
1215827bbaa7540
13744172292703
14335dc353b7c4
1517bc1b533c80
hexbf3735bc440

13140240352320 has 112 divisors (see below), whose sum is σ = 41792570362368. Its totient is φ = 3497991045120.

The previous prime is 13140240352313. The next prime is 13140240352339. The reversal of 13140240352320 is 2325304204131.

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

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 15 ways as a sum of consecutive naturals, for example, 11307216 + ... + 12415055.

It is an arithmetic number, because the mean of its divisors is an integer number (373147949664).

Almost surely, 213140240352320 is an apocalyptic number.

13140240352320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140240352320 is an abundant number, since it is smaller than the sum of its proper divisors (28652330010048).

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

13140240352320 is a wasteful number, since it uses less digits than its factorization.

13140240352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23722868 (or 23722858 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13140240352320 its reverse (2325304204131), we get a palindrome (15465544556451).

The spelling of 13140240352320 in words is "thirteen trillion, one hundred forty billion, two hundred forty million, three hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 577 960 1154 1731 2308 2885 3462 4616 5770 6924 8655 9232 11540 13848 17310 18464 23080 27696 34620 36928 46160 55392 69240 92320 110784 138480 184640 276960 553920 23722271 47444542 71166813 94889084 118611355 142333626 189778168 237222710 284667252 355834065 379556336 474445420 569334504 711668130 759112672 948890840 1138669008 1423336260 1518225344 1897781680 2277338016 2846672520 3795563360 4554676032 5693345040 7591126720 11386690080 13687750367 22773380160 27375500734 41063251101 54751001468 68438751835 82126502202 109502002936 136877503670 164253004404 205316255505 219004005872 273755007340 328506008808 410632511010 438008011744 547510014680 657012017616 821265022020 876016023488 1095020029360 1314024035232 1642530044040 2190040058720 2628048070464 3285060088080 4380080117440 6570120176160 13140240352320