10142414342244 has 18 divisors (see below), whose sum is σ = 25637769587430. Its totient is φ = 3380804780736.

The previous prime is 10142414342213. The next prime is 10142414342267. The reversal of 10142414342244 is 44224341424101.

10142414342244 is a `hidden beast` number, since 1 + 0 + 1 + 424 + 1 + 4 + 3 + 4 + 224 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5958090446400 + 4184323895844 = 2440920^2 + 2045562^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 281733731729 = 10142414342244 / (1 + 0 + 1 + 4 + 2 + 4 + 1 + 4 + 3 + 4 + 2 + 2 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 10142414342199 and 10142414342208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140866865829 + ... + 140866865900.

It is an arithmetic number, because the mean of its divisors is an integer number (1424320532635).

Almost surely, 2^{10142414342244} is an apocalyptic number.

It is an amenable number.

10142414342244 is an abundant number, since it is smaller than the sum of its proper divisors (15495355245186).

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

10142414342244 is a wasteful number, since it uses less digits than its factorization.

10142414342244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281733731739 (or 281733731734 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 10142414342244 its reverse (44224341424101), we get a palindrome (54366755766345).

The spelling of 10142414342244 in words is "ten trillion, one hundred forty-two billion, four hundred fourteen million, three hundred forty-two thousand, two hundred forty-four".