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14094499200 = 273522396143
BaseRepresentation
bin11010010000001100…
…01111110110000000
31100101021021202002220
431020012033312000
5212331142433300
610250330011040
71006163160255
oct151006176600
940337252086
1014094499200
115a82a82951
122894276a80
131438077972
14979c7542c
1557759cda0
hex34818fd80

14094499200 has 192 divisors, whose sum is σ = 46625587200. Its totient is φ = 3742197760.

The previous prime is 14094499147. The next prime is 14094499217. The reversal of 14094499200 is 299449041.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 2291329 + ... + 2297471.

It is an arithmetic number, because the mean of its divisors is an integer number (242841600).

Almost surely, 214094499200 is an apocalyptic number.

14094499200 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 14094499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23312793600).

14094499200 is an abundant number, since it is smaller than the sum of its proper divisors (32531088000).

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

14094499200 is a wasteful number, since it uses less digits than its factorization.

14094499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6409 (or 6392 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 14094499200 in words is "fourteen billion, ninety-four million, four hundred ninety-nine thousand, two hundred".