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14207444160 = 263573133319
BaseRepresentation
bin11010011101101010…
…00110010011000000
31100200010210221110120
431032311012103000
5213044101203120
610305442500240
71012034166000
oct151665062300
940603727416
1014207444160
116030806098
122906064680
1314555a15c0
1498ac76000
1558245d140
hex34ed464c0

14207444160 has 448 divisors, whose sum is σ = 56668416000. Its totient is φ = 2996711424.

The previous prime is 14207444159. The next prime is 14207444183. The reversal of 14207444160 is 6144470241.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4278981 + ... + 4282299.

It is an arithmetic number, because the mean of its divisors is an integer number (126492000).

Almost surely, 214207444160 is an apocalyptic number.

14207444160 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 14207444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28334208000).

14207444160 is an abundant number, since it is smaller than the sum of its proper divisors (42460971840).

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

14207444160 is a wasteful number, since it uses less digits than its factorization.

14207444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 14207444160 in words is "fourteen billion, two hundred seven million, four hundred forty-four thousand, one hundred sixty".