214134240300 has 144 divisors (see below), whose sum is σ = 643459128480. Its totient is φ = 54934640640.

The previous prime is 214134240269. The next prime is 214134240343. The reversal of 214134240300 is 3042431412.

214134240300 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879522 + ... + 1096278.

It is an arithmetic number, because the mean of its divisors is an integer number (4468466170).

Almost surely, 2^214134240300 is an apocalyptic number.

214134240300 is a gapful number since it is divisible by the number (20) 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 214134240300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321729564240).

214134240300 is an abundant number, since it is smaller than the sum of its proper divisors (429324888180).

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

214134240300 is a wasteful number, since it uses less digits than its factorization.

214134240300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216900 (or 216893 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 214134240300 its reverse (3042431412), we get a palindrome (217176671712).

The spelling of 214134240300 in words is "two hundred fourteen billion, one hundred thirty-four million, two hundred forty thousand, three hundred".