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14244660360 = 23325747127947
BaseRepresentation
bin11010100010000110…
…00100010010001000
31100202201211201111100
431101003010102020
5213133113112420
610313252301400
71012665421020
oct152103042210
940681751440
1014244660360
11604a815187
122916611860
131460202018
14991ba2a80
15585860190
hex3510c4488

14244660360 has 384 divisors, whose sum is σ = 54517432320. Its totient is φ = 3158217216.

The previous prime is 14244660359. The next prime is 14244660379. The reversal of 14244660360 is 6306644241.

14244660360 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 46 + 603 + 6 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 15041407 + ... + 15042353.

It is an arithmetic number, because the mean of its divisors is an integer number (141972480).

Almost surely, 214244660360 is an apocalyptic number.

14244660360 is a gapful number since it is divisible by the number (10) 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 14244660360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27258716160).

14244660360 is an abundant number, since it is smaller than the sum of its proper divisors (40272771960).

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

14244660360 is a wasteful number, since it uses less digits than its factorization.

14244660360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 14244660360 in words is "fourteen billion, two hundred forty-four million, six hundred sixty thousand, three hundred sixty".