314100202140 has 96 divisors (see below), whose sum is σ = 1001034861120. Its totient is φ = 81717120000.

The previous prime is 314100202133. The next prime is 314100202147. The reversal of 314100202140 is 41202001413.

314100202140 is a `hidden beast` number, since 314 + 10 + 0 + 202 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (314100202133) and next prime (314100202147).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314100202147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7071361 + ... + 7115640.

It is an arithmetic number, because the mean of its divisors is an integer number (10427446470).

Almost surely, 2^314100202140 is an apocalyptic number.

314100202140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314100202140 is an abundant number, since it is smaller than the sum of its proper divisors (686934658980).

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

314100202140 is a wasteful number, since it uses less digits than its factorization.

314100202140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14187060 (or 14187052 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 314100202140 its reverse (41202001413), we get a palindrome (355302203553).

The spelling of 314100202140 in words is "three hundred fourteen billion, one hundred million, two hundred two thousand, one hundred forty".