314141130 has 192 divisors, whose sum is σ = 921922560. Its totient is φ = 73801728.

The previous prime is 314141129. The next prime is 314141141. The reversal of 314141130 is 31141413.

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 95 ways as a sum of consecutive naturals, for example, 2779954 + ... + 2780066.

It is an arithmetic number, because the mean of its divisors is an integer number (4801680).

Almost surely, 2^314141130 is an apocalyptic number.

314141130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314141130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460961280).

314141130 is an abundant number, since it is smaller than the sum of its proper divisors (607781430).

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

314141130 is a wasteful number, since it uses less digits than its factorization.

314141130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 242 counting only the distinct ones).

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

The square root of 314141130 is about 17724.0269126404. The cubic root of 314141130 is about 679.7902539379.

Adding to 314141130 its reverse (31141413), we get a palindrome (345282543).

The spelling of 314141130 in words is "three hundred fourteen million, one hundred forty-one thousand, one hundred thirty".