Search a number
-
+
14387375520 = 253457158591
BaseRepresentation
bin11010110011000110…
…11110110110100000
31101010200101101220000
431121203132312200
5213431132004040
610335351220000
71016350450140
oct153143366640
941120341800
1014387375520
1161133311a1
122956377600
13148395016b
149a6b12920
15593151130
hex3598deda0

14387375520 has 240 divisors, whose sum is σ = 58029447168. Its totient is φ = 3288522240.

The previous prime is 14387375507. The next prime is 14387375537. The reversal of 14387375520 is 2557378341.

14387375520 is a `hidden beast` number, since 1 + 43 + 87 + 3 + 7 + 5 + 520 = 666.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11425 + ... + 170015.

Almost surely, 214387375520 is an apocalyptic number.

14387375520 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 14387375520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29014723584).

14387375520 is an abundant number, since it is smaller than the sum of its proper divisors (43642071648).

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

14387375520 is a wasteful number, since it uses less digits than its factorization.

14387375520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158625 (or 158608 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 14387375520 in words is "fourteen billion, three hundred eighty-seven million, three hundred seventy-five thousand, five hundred twenty".