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14237427456 = 283372127331
BaseRepresentation
bin11010100001001110…
…11110011100000000
31100202020020020211000
431100213132130000
5213124240134311
610312433252000
71012550064600
oct152047363400
940666206730
1014237427456
116046724a7a
122914104000
13145b86bab5
14990c3cc00
15584dd2056
hex3509de700

14237427456 has 432 divisors, whose sum is σ = 49511239680. Its totient is φ = 4023613440.

The previous prime is 14237427431. The next prime is 14237427481. The reversal of 14237427456 is 65472473241.

14237427456 is a `hidden beast` number, since 1 + 4 + 2 + 374 + 274 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (14237427431) and next prime (14237427481).

It is a tau number, because it is divible by the number of its divisors (432).

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, 43013211 + ... + 43013541.

Almost surely, 214237427456 is an apocalyptic number.

14237427456 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 14237427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24755619840).

14237427456 is an abundant number, since it is smaller than the sum of its proper divisors (35273812224).

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

14237427456 is a wasteful number, since it uses less digits than its factorization.

14237427456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 470 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 14237427456 in words is "fourteen billion, two hundred thirty-seven million, four hundred twenty-seven thousand, four hundred fifty-six".