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14135095296 = 21233719312
BaseRepresentation
bin11010010101000010…
…00111000000000000
31100111002200020111000
431022201013000000
5212422041022141
610254340052000
71010165220240
oct151241070000
940432606430
1014135095296
115aa3990343
1228a5994000
1314435bc91a
14981401b20
1557ae1b5b6
hex34a847000

14135095296 has 624 divisors, whose sum is σ = 52055443200. Its totient is φ = 3702620160.

The previous prime is 14135095267. The next prime is 14135095313. The reversal of 14135095296 is 69259053141.

14135095296 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 509 + 52 + 96 = 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, 455970801 + ... + 455970831.

Almost surely, 214135095296 is an apocalyptic number.

14135095296 is a gapful number since it is divisible by the number (16) 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 14135095296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26027721600).

14135095296 is an abundant number, since it is smaller than the sum of its proper divisors (37920347904).

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

14135095296 is an equidigital number, since it uses as much as digits as its factorization.

14135095296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 14135095296 in words is "fourteen billion, one hundred thirty-five million, ninety-five thousand, two hundred ninety-six".