Search a number
-
+
14059639584 = 253359833323
BaseRepresentation
bin11010001100000010…
…10001001100100000
31100021211200200201000
431012001101030200
5212243231431314
610243042512000
71005260651604
oct150601211440
940254620630
1014059639584
115a65333351
122884665600
131430a90a83
1497539d504
155744b4209
hex346051320

14059639584 has 192 divisors, whose sum is σ = 42217459200. Its totient is φ = 4550236416.

The previous prime is 14059639579. The next prime is 14059639597. The reversal of 14059639584 is 48593695041.

14059639584 is a `hidden beast` number, since 1 + 4 + 0 + 59 + 6 + 3 + 9 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14059639584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4229347 + ... + 4232669.

It is an arithmetic number, because the mean of its divisors is an integer number (219882600).

Almost surely, 214059639584 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 14059639584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21108729600).

14059639584 is an abundant number, since it is smaller than the sum of its proper divisors (28157819616).

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

14059639584 is a wasteful number, since it uses less digits than its factorization.

14059639584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 14059639584 in words is "fourteen billion, fifty-nine million, six hundred thirty-nine thousand, five hundred eighty-four".