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14117124576 = 253213768813
BaseRepresentation
bin11010010010111001…
…00011100111100000
31100102211212020021210
431021130203213200
5212402440441301
610252454550120
71006556402412
oct151134434740
940384766253
1014117124576
115a94826705
12289b968340
13143c96a069
1497cc849b2
1557956bad6
hex3497239e0

14117124576 has 48 divisors (see below), whose sum is σ = 37075331664. Its totient is φ = 4703437824.

The previous prime is 14117124521. The next prime is 14117124601. The reversal of 14117124576 is 67542171141.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170746 + ... + 239558.

It is an arithmetic number, because the mean of its divisors is an integer number (772402743).

Almost surely, 214117124576 is an apocalyptic number.

14117124576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14117124576 is an abundant number, since it is smaller than the sum of its proper divisors (22958207088).

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

14117124576 is a wasteful number, since it uses less digits than its factorization.

14117124576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70963 (or 70955 counting only the distinct ones).

The product of its digits is 47040, while the sum is 39.

The spelling of 14117124576 in words is "fourteen billion, one hundred seventeen million, one hundred twenty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2137 4274 6411 8548 12822 17096 25644 34192 51288 68384 68813 102576 137626 205152 206439 275252 412878 550504 825756 1101008 1651512 2202016 3303024 6606048 147053381 294106762 441160143 588213524 882320286 1176427048 1764640572 2352854096 3529281144 4705708192 7058562288 14117124576