301142404514196 has 144 divisors (see below), whose sum is σ = 872580733524864. Its totient is φ = 85782199523328.

The previous prime is 301142404514183. The next prime is 301142404514197. The reversal of 301142404514196 is 691415404241103.

301142404514196 is a `hidden beast` number, since 3 + 0 + 1 + 1 + 4 + 2 + 4 + 0 + 451 + 4 + 196 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301142404514197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3234114136 + ... + 3234207248.

It is an arithmetic number, because the mean of its divisors is an integer number (6059588427256).

Almost surely, 2^{301142404514196} is an apocalyptic number.

301142404514196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301142404514196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436290366762432).

301142404514196 is an abundant number, since it is smaller than the sum of its proper divisors (571438329010668).

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

301142404514196 is a wasteful number, since it uses less digits than its factorization.

301142404514196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131550 (or 131545 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 301142404514196 its reverse (691415404241103), we get a palindrome (992557808755299).

The spelling of 301142404514196 in words is "three hundred one trillion, one hundred forty-two billion, four hundred four million, five hundred fourteen thousand, one hundred ninety-six".