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14109494256 = 2432111323313
BaseRepresentation
bin11010010001111110…
…11100101111110000
31100102022111120110100
431020333130233300
5212344012304011
610252023232400
71006434502524
oct151077345760
940368446410
1014109494256
115a90494960
1228992a8700
13143b1c7c90
1497bc59d84
15578a60d56
hex348fdcbf0

14109494256 has 480 divisors, whose sum is σ = 50020798464. Its totient is φ = 3653337600.

The previous prime is 14109494213. The next prime is 14109494257. The reversal of 14109494256 is 65249490141.

14109494256 is a `hidden beast` number, since 1 + 4 + 109 + 494 + 2 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14109494257) 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, 455144961 + ... + 455144991.

Almost surely, 214109494256 is an apocalyptic number.

14109494256 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 14109494256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25010399232).

14109494256 is an abundant number, since it is smaller than the sum of its proper divisors (35911304208).

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

14109494256 is a wasteful number, since it uses less digits than its factorization.

14109494256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 14109494256 in words is "fourteen billion, one hundred nine million, four hundred ninety-four thousand, two hundred fifty-six".