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13444355533104 = 2432719129851989
BaseRepresentation
bin1100001110100100001000…
…0010010010100100110000
31202121021020020211102221200
43003221002002102210300
53230233020004024404
644332130205451200
72555215443330426
oct303510202224460
952537206742850
1013444355533104
1143137a0228671
121611733570b00
13766a49840222
143469d3017116
15184aba11a839
hexc3a42092930

13444355533104 has 60 divisors (see below), whose sum is σ = 37677853418400. Its totient is φ = 4475218914432.

The previous prime is 13444355533073. The next prime is 13444355533109. The reversal of 13444355533104 is 40133555344431.

13444355533104 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 4 + 3 + 5 + 5 + 533 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13444355533104.

It is not an unprimeable number, because it can be changed into a prime (13444355533109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64822459 + ... + 65029530.

It is an arithmetic number, because the mean of its divisors is an integer number (627964223640).

Almost surely, 213444355533104 is an apocalyptic number.

It is an amenable number.

13444355533104 is an abundant number, since it is smaller than the sum of its proper divisors (24233497885296).

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

13444355533104 is a wasteful number, since it uses less digits than its factorization.

13444355533104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129852722 (or 129852713 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 13444355533104 in words is "thirteen trillion, four hundred forty-four billion, three hundred fifty-five million, five hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 719 1438 2157 2876 4314 5752 6471 8628 11504 12942 17256 25884 34512 51768 103536 129851989 259703978 389555967 519407956 779111934 1038815912 1168667901 1558223868 2077631824 2337335802 3116447736 4674671604 6232895472 9349343208 18698686416 93363580091 186727160182 280090740273 373454320364 560181480546 746908640728 840272220819 1120362961092 1493817281456 1680544441638 2240725922184 3361088883276 4481451844368 6722177766552 13444355533104