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14319062112 = 2531924759149
BaseRepresentation
bin11010101010111101…
…11000110001100000
31100221220211201111210
431111132320301200
5213311134441422
610324511110120
71014561006525
oct152536706140
940856751453
1014319062112
116088812333
122937512340
131472752224
1499ba0d14c
1558c15a10c
hex3557b8c60

14319062112 has 288 divisors, whose sum is σ = 41477184000. Its totient is φ = 4321391616.

The previous prime is 14319062111. The next prime is 14319062113. The reversal of 14319062112 is 21126091341.

14319062112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14319062111) and next prime (14319062113).

It is a self number, because there is not a number n which added to its sum of digits gives 14319062112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14319062111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96101014 + ... + 96101162.

It is an arithmetic number, because the mean of its divisors is an integer number (144018000).

Almost surely, 214319062112 is an apocalyptic number.

14319062112 is a gapful number since it is divisible by the number (12) 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 14319062112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20738592000).

14319062112 is an abundant number, since it is smaller than the sum of its proper divisors (27158121888).

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

14319062112 is a wasteful number, since it uses less digits than its factorization.

14319062112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 14319062112 in words is "fourteen billion, three hundred nineteen million, sixty-two thousand, one hundred twelve".