3141430062336 has 144 divisors (see below), whose sum is σ = 9290750996800. Its totient is φ = 1047031805952.

The previous prime is 3141430062299. The next prime is 3141430062349. The reversal of 3141430062336 is 6332600341413.

3141430062336 is a `hidden beast` number, since 3 + 1 + 4 + 14 + 300 + 6 + 2 + 336 = 666.

3141430062336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3141430062336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88034130 + ... + 88069806.

Almost surely, 2^{3141430062336} is an apocalyptic number.

3141430062336 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 3141430062336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645375498400).

3141430062336 is an abundant number, since it is smaller than the sum of its proper divisors (6149320934464).

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

3141430062336 is a wasteful number, since it uses less digits than its factorization.

3141430062336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48441 (or 48421 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 3141430062336 in words is "three trillion, one hundred forty-one billion, four hundred thirty million, sixty-two thousand, three hundred thirty-six".