30142314234032 has 480 divisors, whose sum is σ = 81651620211840. Its totient is φ = 10482116198400.

The previous prime is 30142314234013. The next prime is 30142314234041. The reversal of 30142314234032 is 23043241324103.

It is a super-2 number, since 2×30142314234032² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30142314234032.

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, 816204944 + ... + 816241872.

It is an arithmetic number, because the mean of its divisors is an integer number (170107542108).

Almost surely, 2^{30142314234032} 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 30142314234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40825810105920).

30142314234032 is an abundant number, since it is smaller than the sum of its proper divisors (51509305977808).

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

30142314234032 is a wasteful number, since it uses less digits than its factorization.

30142314234032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37133 (or 37116 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 30142314234032 its reverse (23043241324103), we get a palindrome (53185555558135).

The spelling of 30142314234032 in words is "thirty trillion, one hundred forty-two billion, three hundred fourteen million, two hundred thirty-four thousand, thirty-two".