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14859691454944 = 257832293490183
BaseRepresentation
bin1101100000111100101010…
…1000010111000111100000
31221121120110110001210020201
43120033022220113013200
53421430122003024234
651334240434314544
73062402002221040
oct330171250270740
957546413053221
1014859691454944
114809a61486a26
1217bbaa8728a54
1383a35575a45b
143952da2cb720
151ab8047e7314
hexd83caa171e0

14859691454944 has 96 divisors (see below), whose sum is σ = 33984898859520. Its totient is φ = 6264234496512.

The previous prime is 14859691454897. The next prime is 14859691454963. The reversal of 14859691454944 is 44945419695841.

It is a super-2 number, since 2×148596914549442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2512477 + ... + 6002659.

It is an arithmetic number, because the mean of its divisors is an integer number (354009363120).

Almost surely, 214859691454944 is an apocalyptic number.

14859691454944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14859691454944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16992449429760).

14859691454944 is an abundant number, since it is smaller than the sum of its proper divisors (19125207404576).

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

14859691454944 is a wasteful number, since it uses less digits than its factorization.

14859691454944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490512 (or 3490504 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 73.

The spelling of 14859691454944 in words is "fourteen trillion, eight hundred fifty-nine billion, six hundred ninety-one million, four hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 229 332 458 581 664 916 1162 1328 1603 1832 2324 2656 3206 3664 4648 6412 7328 9296 12824 18592 19007 25648 38014 51296 76028 133049 152056 266098 304112 532196 608224 1064392 2128784 3490183 4257568 6980366 13960732 24431281 27921464 48862562 55842928 97725124 111685856 195450248 289685189 390900496 579370378 781800992 799251907 1158740756 1598503814 2027796323 2317481512 3197007628 4055592646 4634963024 5594763349 6394015256 8111185292 9269926048 11189526698 12788030512 16222370584 22379053396 25576061024 32444741168 44758106792 64889482336 66337908281 89516213584 132675816562 179032427168 265351633124 464365357967 530703266248 928730715934 1061406532496 1857461431868 2122813064992 3714922863736 7429845727472 14859691454944