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14425945344 = 2833532743
BaseRepresentation
bin11010110111101101…
…00111010100000000
31101020100221221202000
431123312213110000
5214021020222334
610343250024000
71020326340456
oct153366472400
941210857660
1014425945344
116133085288
122967278000
13148b935a45
149abcb29d6
1559671e299
hex35bda7500

14425945344 has 216 divisors, whose sum is σ = 43538671680. Its totient is φ = 4711569408.

The previous prime is 14425945321. The next prime is 14425945349. The reversal of 14425945344 is 44354952441.

14425945344 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 594 + 53 + 4 + 4 = 666.

14425945344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 14425945344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14425945349) 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 23 ways as a sum of consecutive naturals, for example, 19415437 + ... + 19416179.

Almost surely, 214425945344 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 14425945344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21769335840).

14425945344 is an abundant number, since it is smaller than the sum of its proper divisors (29112726336).

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

14425945344 is an frugal number, since it uses more digits than its factorization.

14425945344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 801 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 14425945344 in words is "fourteen billion, four hundred twenty-five million, nine hundred forty-five thousand, three hundred forty-four".