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16244114256 = 2432127788337
BaseRepresentation
bin11110010000011100…
…11000001101010000
31112221002011111121100
433020032120031100
5231231443124011
611243515424400
71113354456456
oct171016301520
945832144540
1016244114256
116986419517
123194155100
1316bb517936
14b015589d6
15651165d56
hex3c8398350

16244114256 has 60 divisors (see below), whose sum is σ = 45497073492. Its totient is φ = 5410403328.

The previous prime is 16244114207. The next prime is 16244114281. The reversal of 16244114256 is 65241144261.

16244114256 is a `hidden beast` number, since 1 + 624 + 4 + 1 + 1 + 4 + 25 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7142954256 + 9101160000 = 84516^2 + 95400^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16244114256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139720 + ... + 228056.

Almost surely, 216244114256 is an apocalyptic number.

16244114256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16244114256 is an abundant number, since it is smaller than the sum of its proper divisors (29252959236).

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

16244114256 is a wasteful number, since it uses less digits than its factorization.

16244114256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89628 (or 89619 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 16244114256 in words is "sixteen billion, two hundred forty-four million, one hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1277 2554 3831 5108 7662 10216 11493 15324 20432 22986 30648 45972 61296 88337 91944 176674 183888 265011 353348 530022 706696 795033 1060044 1413392 1590066 2120088 3180132 4240176 6360264 12720528 112806349 225612698 338419047 451225396 676838094 902450792 1015257141 1353676188 1804901584 2030514282 2707352376 4061028564 5414704752 8122057128 16244114256