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14059896240 = 24351317231503
BaseRepresentation
bin11010001100000100…
…01111110110110000
31100021212011201202210
431012002033312300
5212243313134430
610243052212120
71005263101065
oct150602176660
940255151683
1014059896240
115a65499165
12288476a040
131430b50840
14975428c6c
155745152b0
hex34608fdb0

14059896240 has 480 divisors, whose sum is σ = 51572699136. Its totient is φ = 3145973760.

The previous prime is 14059896217. The next prime is 14059896247. The reversal of 14059896240 is 4269895041.

It is a super-2 number, since 2×140598962402 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14059896240.

It is not an unprimeable number, because it can be changed into a prime (14059896247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27951829 + ... + 27952331.

Almost surely, 214059896240 is an apocalyptic number.

14059896240 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 14059896240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25786349568).

14059896240 is an abundant number, since it is smaller than the sum of its proper divisors (37512802896).

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

14059896240 is a wasteful number, since it uses less digits than its factorization.

14059896240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 14059896240 in words is "fourteen billion, fifty-nine million, eight hundred ninety-six thousand, two hundred forty".