3003100440144 has 160 divisors (see below), whose sum is σ = 8968665968640. Its totient is φ = 848143650816.

The previous prime is 3003100440103. The next prime is 3003100440169. The reversal of 3003100440144 is 4410440013003.

3003100440144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3003100440144² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26767237 + ... + 26879195.

It is an arithmetic number, because the mean of its divisors is an integer number (56054162304).

Almost surely, 2^{3003100440144} 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 3003100440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484332984320).

3003100440144 is an abundant number, since it is smaller than the sum of its proper divisors (5965565528496).

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

3003100440144 is a wasteful number, since it uses less digits than its factorization.

3003100440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112897 (or 112891 counting only the distinct ones).

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

Adding to 3003100440144 its reverse (4410440013003), we get a palindrome (7413540453147).

The spelling of 3003100440144 in words is "three trillion, three billion, one hundred million, four hundred forty thousand, one hundred forty-four".