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14219182208 = 277211434793
BaseRepresentation
bin11010011111000011…
…11000000010000000
31100200221220022001002
431033201320002000
5213110102312313
610310542231132
71012236024500
oct151741700200
940627808032
1014219182208
1160373a3060
122909b854a8
131457b512aa
1498c64da00
155834cb058
hex34f878080

14219182208 has 192 divisors, whose sum is σ = 36791457120. Its totient is φ = 5409976320.

The previous prime is 14219182181. The next prime is 14219182259. The reversal of 14219182208 is 80228191241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2964260 + ... + 2969052.

Almost surely, 214219182208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14219182208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18395728560).

14219182208 is an abundant number, since it is smaller than the sum of its proper divisors (22572274912).

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

14219182208 is a wasteful number, since it uses less digits than its factorization.

14219182208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The spelling of 14219182208 in words is "fourteen billion, two hundred nineteen million, one hundred eighty-two thousand, two hundred eight".