10141430014206 has 96 divisors (see below), whose sum is σ = 23834766062016. Its totient is φ = 3103805952000.

The previous prime is 10141430014187. The next prime is 10141430014249. The reversal of 10141430014206 is 60241003414101.

10141430014206 is a `hidden beast` number, since 1 + 0 + 1 + 414 + 30 + 0 + 14 + 206 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10141430014206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342127146 + ... + 342156786.

It is an arithmetic number, because the mean of its divisors is an integer number (248278813146).

Almost surely, 2^{10141430014206} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141430014206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11917383031008).

10141430014206 is an abundant number, since it is smaller than the sum of its proper divisors (13693336047810).

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

10141430014206 is a wasteful number, since it uses less digits than its factorization.

10141430014206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56978 (or 56975 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10141430014206 its reverse (60241003414101), we get a palindrome (70382433428307).

The spelling of 10141430014206 in words is "ten trillion, one hundred forty-one billion, four hundred thirty million, fourteen thousand, two hundred six".