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14383590408 = 23321122323121
BaseRepresentation
bin11010110010101010…
…00010110000001000
31101010102021002200200
431121111002300020
5213424144343113
610335134132200
71016303333625
oct153125026010
941112232620
1014383590408
116111186400
122955051060
131482c26355
149a640934c
15592b54873
hex359542c08

14383590408 has 216 divisors, whose sum is σ = 44775895710. Its totient is φ = 4167820800.

The previous prime is 14383590371. The next prime is 14383590409. The reversal of 14383590408 is 80409538341.

14383590408 is a `hidden beast` number, since 14 + 3 + 8 + 3 + 590 + 40 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14381286084 + 2304324 = 119922^2 + 1518^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14383590409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4607088 + ... + 4610208.

Almost surely, 214383590408 is an apocalyptic number.

14383590408 is a gapful number since it is divisible by the number (18) 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 14383590408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22387947855).

14383590408 is an abundant number, since it is smaller than the sum of its proper divisors (30392305302).

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

14383590408 is a wasteful number, since it uses less digits than its factorization.

14383590408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 14383590408 in words is "fourteen billion, three hundred eighty-three million, five hundred ninety thousand, four hundred eight".