Search a number
-
+
14910738960 = 2435134122843
BaseRepresentation
bin11011110001011111…
…11101001000010000
31102111011012000120010
431320233331020100
5221014122121320
610503324514520
71035334122105
oct157057751020
942434160503
1014910738960
1163617a5967
122a816aba40
1315381c5580
14a1642aaac
155c4081ae0
hex378bfd210

14910738960 has 240 divisors, whose sum is σ = 51040608192. Its totient is φ = 3579555840.

The previous prime is 14910738841. The next prime is 14910738971. The reversal of 14910738960 is 6983701941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5243299 + ... + 5246141.

Almost surely, 214910738960 is an apocalyptic number.

14910738960 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 14910738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25520304096).

14910738960 is an abundant number, since it is smaller than the sum of its proper divisors (36129869232).

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

14910738960 is a wasteful number, since it uses less digits than its factorization.

14910738960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 14910738960 in words is "fourteen billion, nine hundred ten million, seven hundred thirty-eight thousand, nine hundred sixty".