314022430140 has 96 divisors (see below), whose sum is σ = 910837025280. Its totient is φ = 80740214016.

The previous prime is 314022430123. The next prime is 314022430303. The reversal of 314022430140 is 41034220413.

It is a super-2 number, since 2×314022430140² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314022430140.

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 31 ways as a sum of consecutive naturals, for example, 1140859 + ... + 1389101.

It is an arithmetic number, because the mean of its divisors is an integer number (9487885680).

Almost surely, 2^314022430140 is an apocalyptic number.

314022430140 is a gapful number since it is divisible by the number (30) 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 314022430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455418512640).

314022430140 is an abundant number, since it is smaller than the sum of its proper divisors (596814595140).

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

314022430140 is a wasteful number, since it uses less digits than its factorization.

314022430140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249011 (or 249009 counting only the distinct ones).

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

Adding to 314022430140 its reverse (41034220413), we get a palindrome (355056650553).

The spelling of 314022430140 in words is "three hundred fourteen billion, twenty-two million, four hundred thirty thousand, one hundred forty".