3006142216143 has 48 divisors (see below), whose sum is σ = 4531837067136. Its totient is φ = 1757800440000.

The previous prime is 3006142216079. The next prime is 3006142216159. The reversal of 3006142216143 is 3416122416003.

It is a happy number.

It is not a de Polignac number, because 3006142216143 - 2⁶ = 3006142216079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006142216043) 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, 10353813 + ... + 10640193.

It is an arithmetic number, because the mean of its divisors is an integer number (94413272232).

Almost surely, 2^{3006142216143} is an apocalyptic number.

3006142216143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3006142216143 is a deficient number, since it is larger than the sum of its proper divisors (1525694850993).

3006142216143 is a wasteful number, since it uses less digits than its factorization.

3006142216143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286788 (or 286757 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 3006142216143 in words is "three trillion, six billion, one hundred forty-two million, two hundred sixteen thousand, one hundred forty-three".