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457342439424 = 21231323124477
BaseRepresentation
bin1101010011110111011…
…10111101000000000000
31121201110222111002222120
412221323232331000000
524443114131030144
6550033351404240
745020241410463
oct6517356750000
91551428432876
10457342439424
11166a5997a902
1274777083680
1334186620a80
14181c7b0d2da
15bd6ab9ae19
hex6a7bbbd000

457342439424 has 208 divisors, whose sum is σ = 1370341456512. Its totient is φ = 134601375744.

The previous prime is 457342439399. The next prime is 457342439507. The reversal of 457342439424 is 424934243754.

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3611874 + ... + 3736350.

Almost surely, 2457342439424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457342439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685170728256).

457342439424 is an abundant number, since it is smaller than the sum of its proper divisors (912999017088).

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

457342439424 is a wasteful number, since it uses less digits than its factorization.

457342439424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124540 (or 124518 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 51.

The spelling of 457342439424 in words is "four hundred fifty-seven billion, three hundred forty-two million, four hundred thirty-nine thousand, four hundred twenty-four".