14301234000 has 240 divisors, whose sum is σ = 51673723920. Its totient is φ = 3682022400.

The previous prime is 14301233993. The next prime is 14301234049. The reversal of 14301234000 is 43210341.

14301234000 is a `hidden beast` number, since 1 + 430 + 1 + 234 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3076255296 + 11224978704 = 55464^2 + 105948^2 .

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508302 + ... + 535698.

It is an arithmetic number, because the mean of its divisors is an integer number (215307183).

Almost surely, 2^14301234000 is an apocalyptic number.

14301234000 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 14301234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25836861960).

14301234000 is an abundant number, since it is smaller than the sum of its proper divisors (37372489920).

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

14301234000 is a wasteful number, since it uses less digits than its factorization.

14301234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27455 (or 27436 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 14301234000 its reverse (43210341), we get a palindrome (14344444341).

The spelling of 14301234000 in words is "fourteen billion, three hundred one million, two hundred thirty-four thousand".