Search a number
-
+
14931930456 = 23323137473847
BaseRepresentation
bin11011110100000001…
…10010110101011000
31102112122001122211100
431322000302311120
5221040033233311
610505403031400
71036012212642
oct157200626530
942478048740
1014931930456
11637275a3a3
122a8880b560
13153c705111
14a19185892
155c5d6aa56
hex37a032d58

14931930456 has 192 divisors, whose sum is σ = 43797012480. Its totient is φ = 4585662720.

The previous prime is 14931930421. The next prime is 14931930469. The reversal of 14931930456 is 65403913941.

14931930456 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 193 + 0 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3879525 + ... + 3883371.

It is an arithmetic number, because the mean of its divisors is an integer number (228109440).

Almost surely, 214931930456 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 14931930456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21898506240).

14931930456 is an abundant number, since it is smaller than the sum of its proper divisors (28865082024).

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

14931930456 is a wasteful number, since it uses less digits than its factorization.

14931930456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 14931930456 in words is "fourteen billion, nine hundred thirty-one million, nine hundred thirty thousand, four hundred fifty-six".