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14319927960 = 233513313753151
BaseRepresentation
bin11010101011000100…
…01100001010011000
31100221222110201020020
431111202030022120
5213311400143320
610324541430440
71014601244052
oct152542141230
940858421206
1014319927960
116089253908
12293786b420
131472996370
1499bb968d2
1558c27b940
hex35588c298

14319927960 has 512 divisors, whose sum is σ = 50303877120. Its totient is φ = 3234816000.

The previous prime is 14319927959. The next prime is 14319927967. The reversal of 14319927960 is 6972991341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14319927967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94833885 + ... + 94834035.

It is an arithmetic number, because the mean of its divisors is an integer number (98249760).

Almost surely, 214319927960 is an apocalyptic number.

14319927960 is a gapful number since it is divisible by the number (10) 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 14319927960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25151938560).

14319927960 is an abundant number, since it is smaller than the sum of its proper divisors (35983949160).

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

14319927960 is a wasteful number, since it uses less digits than its factorization.

14319927960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 14319927960 in words is "fourteen billion, three hundred nineteen million, nine hundred twenty-seven thousand, nine hundred sixty".