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14131706400 = 25325271991409
BaseRepresentation
bin11010010100101000…
…01011101000100000
31100110212022001210100
431022110023220200
5212420204101100
610254135302400
71010124344130
oct151224135040
940425261710
1014131706400
115aa1a861a9
1228a481aa00
1314429a4266
14980b9cac0
1557a99c400
hex34a50ba20

14131706400 has 432 divisors, whose sum is σ = 57277584000. Its totient is φ = 3211591680.

The previous prime is 14131706377. The next prime is 14131706401. The reversal of 14131706400 is 460713141.

It is a happy number.

14131706400 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 17 + 0 + 640 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131706401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10028896 + ... + 10030304.

It is an arithmetic number, because the mean of its divisors is an integer number (132587000).

Almost surely, 214131706400 is an apocalyptic number.

14131706400 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 14131706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28638792000).

14131706400 is an abundant number, since it is smaller than the sum of its proper divisors (43145877600).

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

14131706400 is a wasteful number, since it uses less digits than its factorization.

14131706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1625 counting only the distinct ones).

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

The spelling of 14131706400 in words is "fourteen billion, one hundred thirty-one million, seven hundred six thousand, four hundred".