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14252426496 = 283371161439
BaseRepresentation
bin11010100011000001…
…01100010100000000
31100210021110021122000
431101200230110000
5213142110121441
610314130544000
71013121424560
oct152140542400
940707407560
1014252426496
116054139a80
122919138000
1314619c0b79
14992c24da0
155863962b6
hex35182c500

14252426496 has 576 divisors, whose sum is σ = 53529907200. Its totient is φ = 3632947200.

The previous prime is 14252426467. The next prime is 14252426543. The reversal of 14252426496 is 69462425241.

It is a happy number.

14252426496 is a `hidden beast` number, since 14 + 2 + 524 + 26 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×142524264962 (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 32465445 + ... + 32465883.

Almost surely, 214252426496 is an apocalyptic number.

14252426496 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 14252426496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26764953600).

14252426496 is an abundant number, since it is smaller than the sum of its proper divisors (39277480704).

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

14252426496 is a wasteful number, since it uses less digits than its factorization.

14252426496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 523 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 14252426496 in words is "fourteen billion, two hundred fifty-two million, four hundred twenty-six thousand, four hundred ninety-six".