314024142300 has 288 divisors, whose sum is σ = 1029826586880. Its totient is φ = 73181337600.

The previous prime is 314024142259. The next prime is 314024142319. The reversal of 314024142300 is 3241420413.

It is a super-2 number, since 2×314024142300² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 22291059 + ... + 22305141.

It is an arithmetic number, because the mean of its divisors is an integer number (3575786760).

Almost surely, 2^314024142300 is an apocalyptic number.

314024142300 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 314024142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514913293440).

314024142300 is an abundant number, since it is smaller than the sum of its proper divisors (715802444580).

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

314024142300 is a wasteful number, since it uses less digits than its factorization.

314024142300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14373 (or 14366 counting only the distinct ones).

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

Adding to 314024142300 its reverse (3241420413), we get a palindrome (317265562713).

The spelling of 314024142300 in words is "three hundred fourteen billion, twenty-four million, one hundred forty-two thousand, three hundred".