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14324557680 = 24325173133739
BaseRepresentation
bin11010101011100111…
…10110011101110000
31100222022011221000100
431111303312131300
5213314041321210
610325224552400
71014655505556
oct152563663560
940868157010
1014324557680
116090926224
122939322700
131473927744
1499c63dbd6
1558c8935c0
hex355cf6770

14324557680 has 240 divisors, whose sum is σ = 51112844640. Its totient is φ = 3582738432.

The previous prime is 14324557651. The next prime is 14324557693. The reversal of 14324557680 is 8675542341.

14324557680 is a `hidden beast` number, since 1 + 4 + 32 + 4 + 557 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3829251 + ... + 3832989.

It is an arithmetic number, because the mean of its divisors is an integer number (212970186).

Almost surely, 214324557680 is an apocalyptic number.

14324557680 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 14324557680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25556422320).

14324557680 is an abundant number, since it is smaller than the sum of its proper divisors (36788286960).

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

14324557680 is a wasteful number, since it uses less digits than its factorization.

14324557680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 14324557680 in words is "fourteen billion, three hundred twenty-four million, five hundred fifty-seven thousand, six hundred eighty".