314243242220300 has 144 divisors (see below), whose sum is σ = 705835587631104. Its totient is φ = 121309245120000.

The previous prime is 314243242220231. The next prime is 314243242220309. The reversal of 314243242220300 is 3022242342413.

It is a super-2 number, since 2×314243242220300² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314243242220309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2181097265 + ... + 2181241335.

It is an arithmetic number, because the mean of its divisors is an integer number (4901636025216).

Almost surely, 2^{314243242220300} 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 314243242220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352917793815552).

314243242220300 is an abundant number, since it is smaller than the sum of its proper divisors (391592345410804).

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

314243242220300 is a wasteful number, since it uses less digits than its factorization.

314243242220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146040 (or 146033 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 314243242220300 its reverse (3022242342413), we get a palindrome (317265484562713).

The spelling of 314243242220300 in words is "three hundred fourteen trillion, two hundred forty-three billion, two hundred forty-two million, two hundred twenty thousand, three hundred".