30142404224 has 64 divisors (see below), whose sum is σ = 61242405480. Its totient is φ = 14772326400.

The previous prime is 30142404209. The next prime is 30142404247. The reversal of 30142404224 is 42240424103.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28415170624 + 1727233600 = 168568^2 + 41560^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 30142404193 and 30142404202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10995494 + ... + 10998234.

Almost surely, 2^30142404224 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 30142404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30621202740).

30142404224 is an abundant number, since it is smaller than the sum of its proper divisors (31100001256).

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

30142404224 is a wasteful number, since it uses less digits than its factorization.

30142404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 30142404224 its reverse (42240424103), we get a palindrome (72382828327).

The spelling of 30142404224 in words is "thirty billion, one hundred forty-two million, four hundred four thousand, two hundred twenty-four".