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14460260000 = 25543183281
BaseRepresentation
bin11010111011110011…
…00000111010100000
31101022202112022121012
431131321200322200
5214103311310000
610350513320052
71021224116264
oct153571407240
941282468535
1014460260000
1161504923aa
122976866028
131495a8b884
149b26860a4
1559974b735
hex35de60ea0

14460260000 has 240 divisors, whose sum is σ = 37296661248. Its totient is φ = 5510400000.

The previous prime is 14460259997. The next prime is 14460260033. The reversal of 14460260000 is 6206441.

It is a happy number.

14460260000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 39 ways as a sum of consecutive naturals, for example, 51459860 + ... + 51460140.

Almost surely, 214460260000 is an apocalyptic number.

14460260000 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 14460260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648330624).

14460260000 is an abundant number, since it is smaller than the sum of its proper divisors (22836401248).

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

14460260000 is an equidigital number, since it uses as much as digits as its factorization.

14460260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 14460260000 its reverse (6206441), we get a palindrome (14466466441).

The spelling of 14460260000 in words is "fourteen billion, four hundred sixty million, two hundred sixty thousand".