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13444523524350 = 2325239775256219
BaseRepresentation
bin1100001110100100110000…
…0011001000000011111110
31202121021122221221021121200
43003221030003020003332
53230233341010234400
644332155010240330
72555222553252012
oct303511403100376
952537587837550
1013444523524350
114313877038a06
12161177b8860a6
13766a7559b129
14346a0b466542
15184ac9c50b00
hexc3a4c0c80fe

13444523524350 has 72 divisors (see below), whose sum is σ = 36211938452040. Its totient is φ = 3576175479360.

The previous prime is 13444523524331. The next prime is 13444523524363. The reversal of 13444523524350 is 5342532544431.

13444523524350 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 45 + 235 + 24 + 350 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 13444523524296 and 13444523524305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37449460 + ... + 37806759.

Almost surely, 213444523524350 is an apocalyptic number.

13444523524350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13444523524350 is an abundant number, since it is smaller than the sum of its proper divisors (22767414927690).

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

13444523524350 is a wasteful number, since it uses less digits than its factorization.

13444523524350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75256634 (or 75256626 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 13444523524350 in words is "thirteen trillion, four hundred forty-four billion, five hundred twenty-three million, five hundred twenty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 397 450 794 1191 1985 2382 3573 3970 5955 7146 9925 11910 17865 19850 29775 35730 59550 89325 178650 75256219 150512438 225768657 376281095 451537314 677305971 752562190 1128843285 1354611942 1881405475 2257686570 3386529855 3762810950 5644216425 6773059710 11288432850 16932649275 29876718943 33865298550 59753437886 89630156829 149383594715 179260313658 268890470487 298767189430 448150784145 537780940974 746917973575 896301568290 1344452352435 1493835947150 2240753920725 2688904704870 4481507841450 6722261762175 13444523524350