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14250424320 = 2113251114057
BaseRepresentation
bin11010100010110010…
…00011100000000000
31100210010200120011100
431101121003200000
5213141102034240
610314020014400
71013065415406
oct152131034000
940703616140
1014250424320
116052aa1790
122918531400
13146146c752
14992863476
155860ece30
hex351643800

14250424320 has 288 divisors, whose sum is σ = 53883189360. Its totient is φ = 3454402560.

The previous prime is 14250424291. The next prime is 14250424337. The reversal of 14250424320 is 2342405241.

14250424320 is a `hidden beast` number, since 142 + 50 + 42 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006732 + ... + 1020788.

Almost surely, 214250424320 is an apocalyptic number.

14250424320 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 14250424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26941594680).

14250424320 is an abundant number, since it is smaller than the sum of its proper divisors (39632765040).

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

14250424320 is a wasteful number, since it uses less digits than its factorization.

14250424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14101 (or 14078 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 14250424320 its reverse (2342405241), we get a palindrome (16592829561).

The spelling of 14250424320 in words is "fourteen billion, two hundred fifty million, four hundred twenty-four thousand, three hundred twenty".