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14233260000 = 253541511571
BaseRepresentation
bin11010100000101111…
…00100111111100000
31100201221101112010210
431100113210333200
5213122203310000
610312204054120
71012466466561
oct152027447740
940657345123
1014233260000
1160443389a3
122912834340
13145aa3cc4b
14990476168
1558485c350
hex3505e4fe0

14233260000 has 240 divisors, whose sum is σ = 47027046528. Its totient is φ = 3768000000.

The previous prime is 14233259981. The next prime is 14233260017. The reversal of 14233260000 is 6233241.

It is a happy number.

14233260000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 9059215 + ... + 9060785.

Almost surely, 214233260000 is an apocalyptic number.

14233260000 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 14233260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23513523264).

14233260000 is an abundant number, since it is smaller than the sum of its proper divisors (32793786528).

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

14233260000 is a wasteful number, since it uses less digits than its factorization.

14233260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 14233260000 its reverse (6233241), we get a palindrome (14239493241).

The spelling of 14233260000 in words is "fourteen billion, two hundred thirty-three million, two hundred sixty thousand".