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13244040424104 = 23375231409106979
BaseRepresentation
bin1100000010111001111001…
…0100110010101010101000
31201220010011221121120011120
43000232132110302222220
53213442243322032404
644100121141455240
72534564445105330
oct300563624625250
951803157546146
1013244040424104
114246847603406
12159a94a411520
13750ba5163129
1433b02d14c0c0
1517e7941a09d9
hexc0b9e532aa8

13244040424104 has 128 divisors (see below), whose sum is σ = 37939729536000. Its totient is φ = 3774060601344.

The previous prime is 13244040424031. The next prime is 13244040424141. The reversal of 13244040424104 is 40142404044231.

It is a super-3 number, since 3×132440404241043 (a number of 40 digits) contains 333 as substring.

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, 123746887 + ... + 123853865.

It is an arithmetic number, because the mean of its divisors is an integer number (296404137000).

Almost surely, 213244040424104 is an apocalyptic number.

13244040424104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13244040424104 is an abundant number, since it is smaller than the sum of its proper divisors (24695689111896).

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

13244040424104 is a wasteful number, since it uses less digits than its factorization.

13244040424104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108927 (or 108923 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 13244040424104 its reverse (40142404044231), we get a palindrome (53386444468335).

The spelling of 13244040424104 in words is "thirteen trillion, two hundred forty-four billion, forty million, four hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 523 1046 1409 1569 2092 2818 3138 3661 4184 4227 5636 6276 7322 8454 9863 10983 11272 12552 14644 16908 19726 21966 29288 29589 33816 39452 43932 59178 78904 87864 106979 118356 213958 236712 320937 427916 641874 736907 748853 855832 1283748 1473814 1497706 2210721 2246559 2567496 2947628 2995412 4421442 4493118 5158349 5895256 5990824 8842884 8986236 10316698 15475047 17685768 17972472 20633396 30950094 41266792 55950017 61900188 111900034 123800376 150733411 167850051 223800068 301466822 335700102 391650119 447600136 452200233 602933644 671400204 783300238 904400466 1055133877 1174950357 1205867288 1342800408 1566600476 1808800932 2110267754 2349900714 3133200952 3165401631 3617601864 4220535508 4699801428 6330803262 8441071016 9399602856 12661606524 25323213048 78833573953 157667147906 236500721859 315334295812 473001443718 551835017671 630668591624 946002887436 1103670035342 1655505053013 1892005774872 2207340070684 3311010106026 4414680141368 6622020212052 13244040424104