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14200452000 = 2532537371523
BaseRepresentation
bin11010011100110100…
…11011001110100000
31100122122122201000200
431032122123032200
5213040303431000
610305032545200
71011620564460
oct151632331640
940578581020
1014200452000
11602786a849
122903852200
131453cc3b27
14989d75ba0
15581a2b500
hex34e69b3a0

14200452000 has 576 divisors, whose sum is σ = 59192550144. Its totient is φ = 3156019200.

The previous prime is 14200451999. The next prime is 14200452001. The reversal of 14200452000 is 25400241.

14200452000 is a `hidden beast` number, since 1 + 420 + 0 + 45 + 200 + 0 = 666.

14200452000 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 (14200451999) and next prime (14200452001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14200452001) 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 95 ways as a sum of consecutive naturals, for example, 9323239 + ... + 9324761.

It is an arithmetic number, because the mean of its divisors is an integer number (102764844).

Almost surely, 214200452000 is an apocalyptic number.

14200452000 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 14200452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29596275072).

14200452000 is an abundant number, since it is smaller than the sum of its proper divisors (44992098144).

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

14200452000 is a wasteful number, since it uses less digits than its factorization.

14200452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 14200452000 its reverse (25400241), we get a palindrome (14225852241).

The spelling of 14200452000 in words is "fourteen billion, two hundred million, four hundred fifty-two thousand".