Search a number
-
+
14264336064 = 26311174779107
BaseRepresentation
bin11010100100011100…
…00111111011000000
31100211002212100111010
431102032013323000
5213203132223224
610315234120520
71013324566416
oct152216077300
940732770433
1014264336064
11605a9338a0
122921120140
131464300954
149946452b6
15587449e29
hex352387ec0

14264336064 has 448 divisors, whose sum is σ = 45506396160. Its totient is φ = 3894558720.

The previous prime is 14264336059. The next prime is 14264336069. The reversal of 14264336064 is 46063346241.

It is an interprime number because it is at equal distance from previous prime (14264336059) and next prime (14264336069).

It is not an unprimeable number, because it can be changed into a prime (14264336069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133311499 + ... + 133311605.

Almost surely, 214264336064 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 14264336064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22753198080).

14264336064 is an abundant number, since it is smaller than the sum of its proper divisors (31242060096).

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

14264336064 is a wasteful number, since it uses less digits than its factorization.

14264336064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 14264336064 in words is "fourteen billion, two hundred sixty-four million, three hundred thirty-six thousand, sixty-four".