144305353000314 has 48 divisors (see below), whose sum is σ = 341104738235040. Its totient is φ = 43726413000480.

The previous prime is 144305353000273. The next prime is 144305353000343. The reversal of 144305353000314 is 413000353503441.

144305353000314 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 0 + 5 + 35 + 300 + 0 + 314 = 666.

144305353000314 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17183109 + ... + 24163400.

It is an arithmetic number, because the mean of its divisors is an integer number (7106348713230).

Almost surely, 2^{144305353000314} is an apocalyptic number.

144305353000314 is an abundant number, since it is smaller than the sum of its proper divisors (196799385234726).

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

144305353000314 is a wasteful number, since it uses less digits than its factorization.

144305353000314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41364155 (or 41364152 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 144305353000314 in words is "one hundred forty-four trillion, three hundred five billion, three hundred fifty-three million, three hundred fourteen", and thus it is an aban number.