30214230144 has 128 divisors (see below), whose sum is σ = 91777380480. Its totient is φ = 8627404800.

The previous prime is 30214230133. The next prime is 30214230149. The reversal of 30214230144 is 44103241203.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30214230149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7527082 + ... + 7531094.

It is an arithmetic number, because the mean of its divisors is an integer number (717010785).

Almost surely, 2^30214230144 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 30214230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45888690240).

30214230144 is an abundant number, since it is smaller than the sum of its proper divisors (61563150336).

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

30214230144 is a wasteful number, since it uses less digits than its factorization.

30214230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838 (or 6826 counting only the distinct ones).

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

Adding to 30214230144 its reverse (44103241203), we get a palindrome (74317471347).

The spelling of 30214230144 in words is "thirty billion, two hundred fourteen million, two hundred thirty thousand, one hundred forty-four".