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14451332000 = 255373116649
BaseRepresentation
bin11010111010101110…
…11101001110100000
31101022010201201200112
431131113131032200
5214044020111000
610345554110452
71021055203160
oct153527351640
941263651615
1014451332000
116146444696
12297387b428
131493c83c31
149b14005a0
15598a86235
hex35d5dd3a0

14451332000 has 192 divisors, whose sum is σ = 41890867200. Its totient is φ = 4794624000.

The previous prime is 14451331957. The next prime is 14451332083. The reversal of 14451332000 is 23315441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859676 + ... + 876324.

It is an arithmetic number, because the mean of its divisors is an integer number (218181600).

Almost surely, 214451332000 is an apocalyptic number.

14451332000 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 14451332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20945433600).

14451332000 is an abundant number, since it is smaller than the sum of its proper divisors (27439535200).

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

14451332000 is a wasteful number, since it uses less digits than its factorization.

14451332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16712 (or 16694 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 14451332000 its reverse (23315441), we get a palindrome (14474647441).

The spelling of 14451332000 in words is "fourteen billion, four hundred fifty-one million, three hundred thirty-two thousand".