314311140 has 144 divisors (see below), whose sum is σ = 1120182336. Its totient is φ = 70329600.

The previous prime is 314311121. The next prime is 314311159. The reversal of 314311140 is 41113413.

314311140 is a `hidden beast` number, since 314 + 311 + 1 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (314311121) and next prime (314311159).

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

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, 19635 + ... + 31845.

It is an arithmetic number, because the mean of its divisors is an integer number (7779044).

Almost surely, 2^314311140 is an apocalyptic number.

314311140 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 314311140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560091168).

314311140 is an abundant number, since it is smaller than the sum of its proper divisors (805871196).

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

314311140 is a wasteful number, since it uses less digits than its factorization.

314311140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12250 (or 12245 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 314311140 is about 17728.8222959113. The cubic root of 314311140 is about 679.9128636905.

Adding to 314311140 its reverse (41113413), we get a palindrome (355424553).

The spelling of 314311140 in words is "three hundred fourteen million, three hundred eleven thousand, one hundred forty".