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14942922400 = 2552721920063
BaseRepresentation
bin11011110101010101…
…01110011010100000
31102120101202002221101
431322222232122200
5221100342004100
610510434404144
71036204513300
oct157252563240
942511662841
1014942922400
11637898784a
122a90430654
131541a83323
14a1a807600
155c6cdc86a
hex37aaae6a0

14942922400 has 216 divisors, whose sum is σ = 44670890880. Its totient is φ = 4853399040.

The previous prime is 14942922383. The next prime is 14942922403. The reversal of 14942922400 is 422924941.

It is a self number, because there is not a number n which added to its sum of digits gives 14942922400.

It is not an unprimeable number, because it can be changed into a prime (14942922403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 734769 + ... + 754831.

It is an arithmetic number, because the mean of its divisors is an integer number (206809680).

Almost surely, 214942922400 is an apocalyptic number.

14942922400 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 14942922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22335445440).

14942922400 is an abundant number, since it is smaller than the sum of its proper divisors (29727968480).

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

14942922400 is a wasteful number, since it uses less digits than its factorization.

14942922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20116 (or 20096 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 14942922400 in words is "fourteen billion, nine hundred forty-two million, nine hundred twenty-two thousand, four hundred".