314224242431000 has 128 divisors (see below), whose sum is σ = 802808021171520. Its totient is φ = 114166604800000.

The previous prime is 314224242430933. The next prime is 314224242431017. The reversal of 314224242431000 is 134242422413.

It is a happy number.

It is a super-2 number, since 2×314224242431000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897080 + ... + 25084920.

Almost surely, 2^{314224242431000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314224242431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401404010585760).

314224242431000 is an abundant number, since it is smaller than the sum of its proper divisors (488583778740520).

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

314224242431000 is a wasteful number, since it uses less digits than its factorization.

314224242431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24189054 (or 24189040 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 314224242431000 its reverse (134242422413), we get a palindrome (314358484853413).

The spelling of 314224242431000 in words is "three hundred fourteen trillion, two hundred twenty-four billion, two hundred forty-two million, four hundred thirty-one thousand".