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14301232000 = 27531128389
BaseRepresentation
bin11010101000110101…
…10111101110000000
31100220200021212012021
431110122313232000
5213242103411000
610323033011224
71014253315636
oct152432675600
940820255167
1014301232000
116079744300
122931553b14
13146bb4b673
149994cb356
1558a7d711a
hex3546b7b80

14301232000 has 384 divisors, whose sum is σ = 39997994400. Its totient is φ = 5080064000.

The previous prime is 14301231943. The next prime is 14301232019. The reversal of 14301232000 is 23210341.

It is a happy number.

14301232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 47 ways as a sum of consecutive naturals, for example, 160687956 + ... + 160688044.

Almost surely, 214301232000 is an apocalyptic number.

14301232000 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 14301232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998997200).

14301232000 is an abundant number, since it is smaller than the sum of its proper divisors (25696762400).

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

14301232000 is an equidigital number, since it uses as much as digits as its factorization.

14301232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 14301232000 its reverse (23210341), we get a palindrome (14324442341).

The spelling of 14301232000 in words is "fourteen billion, three hundred one million, two hundred thirty-two thousand".