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14164873344 = 273237932443
BaseRepresentation
bin11010011000100101…
…01101000010000000
31100120011201010021200
431030102231002000
5213002201421334
610301322221200
71011006302556
oct151422550200
940504633250
1014164873344
116009779aa6
1228b3954800
13144981787b
14985353bd6
1557d84e799
hex34c4ad080

14164873344 has 96 divisors (see below), whose sum is σ = 40869706800. Its totient is φ = 4709021184.

The previous prime is 14164873319. The next prime is 14164873351. The reversal of 14164873344 is 44337846141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 14164873344.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420387 + ... + 452829.

Almost surely, 214164873344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14164873344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20434853400).

14164873344 is an abundant number, since it is smaller than the sum of its proper divisors (26704833456).

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

14164873344 is a wasteful number, since it uses less digits than its factorization.

14164873344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32842 (or 32827 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 14164873344 in words is "fourteen billion, one hundred sixty-four million, eight hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 379 384 576 758 1137 1152 1516 2274 3032 3411 4548 6064 6822 9096 12128 13644 18192 24256 27288 32443 36384 48512 54576 64886 72768 97329 109152 129772 145536 194658 218304 259544 291987 389316 436608 519088 583974 778632 1038176 1167948 1557264 2076352 2335896 3114528 4152704 4671792 6229056 9343584 12295897 12458112 18687168 24591794 36887691 37374336 49183588 73775382 98367176 110663073 147550764 196734352 221326146 295101528 393468704 442652292 590203056 786937408 885304584 1180406112 1573874816 1770609168 2360812224 3541218336 4721624448 7082436672 14164873344