200314144140 has 96 divisors (see below), whose sum is σ = 612052035840. Its totient is φ = 48546451200.

The previous prime is 200314144117. The next prime is 200314144159. The reversal of 200314144140 is 41441413002.

200314144140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 200314144140.

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 31 ways as a sum of consecutive naturals, for example, 2245795 + ... + 2333285.

It is an arithmetic number, because the mean of its divisors is an integer number (6375542040).

Almost surely, 2^200314144140 is an apocalyptic number.

200314144140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200314144140 is an abundant number, since it is smaller than the sum of its proper divisors (411737891700).

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

200314144140 is a wasteful number, since it uses less digits than its factorization.

200314144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90983 (or 90981 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 200314144140 its reverse (41441413002), we get a palindrome (241755557142).

The spelling of 200314144140 in words is "two hundred billion, three hundred fourteen million, one hundred forty-four thousand, one hundred forty".