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14322112332 = 223111771241373
BaseRepresentation
bin11010101011010101…
…00001011101001100
31100222010120200121220
431111222201131030
5213312430043312
610325100323340
71014625642353
oct152552413514
940863520556
1014322112332
11608a505a80
122938543550
13147327c6a8
1499c1a499a
1558c55dc8c
hex355aa174c

14322112332 has 192 divisors, whose sum is σ = 39412251648. Its totient is φ = 3999744000.

The previous prime is 14322112309. The next prime is 14322112361. The reversal of 14322112332 is 23321122341.

14322112332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 38396898 + ... + 38397270.

It is an arithmetic number, because the mean of its divisors is an integer number (205272144).

Almost surely, 214322112332 is an apocalyptic number.

14322112332 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 14322112332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19706125824).

14322112332 is an abundant number, since it is smaller than the sum of its proper divisors (25090139316).

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

14322112332 is a wasteful number, since it uses less digits than its factorization.

14322112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 718 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 14322112332 its reverse (23321122341), we get a palindrome (37643234673).

The spelling of 14322112332 in words is "fourteen billion, three hundred twenty-two million, one hundred twelve thousand, three hundred thirty-two".