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14210500608 = 211323767311
BaseRepresentation
bin11010011110000001…
…10000100000000000
31100200100120020010100
431033000300200000
5213100342004413
610310032202400
71012102155633
oct151700604000
940610506110
1014210500608
116032503487
122907099400
131456101855
1498b42dc1a
15582863a73
hex34f030800

14210500608 has 288 divisors, whose sum is σ = 42918482880. Its totient is φ = 4525424640.

The previous prime is 14210500567. The next prime is 14210500639. The reversal of 14210500608 is 80600501241.

14210500608 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 0 + 50 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45692773 + ... + 45693083.

It is an arithmetic number, because the mean of its divisors is an integer number (149022510).

Almost surely, 214210500608 is an apocalyptic number.

14210500608 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 14210500608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21459241440).

14210500608 is an abundant number, since it is smaller than the sum of its proper divisors (28707982272).

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

14210500608 is a wasteful number, since it uses less digits than its factorization.

14210500608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 14210500608 in words is "fourteen billion, two hundred ten million, five hundred thousand, six hundred eight".