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14322170016 = 25327211257359
BaseRepresentation
bin11010101011010101…
…01111100010100000
31100222010200121202100
431111222233202200
5213312433420031
610325101450400
71014626302500
oct152552574240
940863617670
1014322170016
11608a545350
122938570a00
13147329ca1b
1499c1bba00
1558c570de6
hex355aaf8a0

14322170016 has 432 divisors, whose sum is σ = 52031004480. Its totient is φ = 3695247360.

The previous prime is 14322170011. The next prime is 14322170029. The reversal of 14322170016 is 61007122341.

14322170016 is a `hidden beast` number, since 1 + 432 + 217 + 0 + 0 + 16 = 666.

14322170016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14322170011) 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 71 ways as a sum of consecutive naturals, for example, 39894445 + ... + 39894803.

It is an arithmetic number, because the mean of its divisors is an integer number (120442140).

Almost surely, 214322170016 is an apocalyptic number.

14322170016 is a gapful number since it is divisible by the number (16) 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 14322170016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26015502240).

14322170016 is an abundant number, since it is smaller than the sum of its proper divisors (37708834464).

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

14322170016 is a wasteful number, since it uses less digits than its factorization.

14322170016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 14322170016 its reverse (61007122341), we get a palindrome (75329292357).

The spelling of 14322170016 in words is "fourteen billion, three hundred twenty-two million, one hundred seventy thousand, sixteen".