10000444142031 has 32 divisors (see below), whose sum is σ = 15245540011008. Its totient is φ = 5712002150400.

The previous prime is 10000444142009. The next prime is 10000444142047. The reversal of 10000444142031 is 13024144400001.

It is not a de Polignac number, because 10000444142031 - 2¹⁴ = 10000444125647 is a prime.

It is a super-2 number, since 2×10000444142031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000444141992 and 10000444142010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000444142131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 765548406 + ... + 765561468.

It is an arithmetic number, because the mean of its divisors is an integer number (476423125344).

Almost surely, 2^{10000444142031} is an apocalyptic number.

10000444142031 is a deficient number, since it is larger than the sum of its proper divisors (5245095868977).

10000444142031 is a wasteful number, since it uses less digits than its factorization.

10000444142031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26471.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10000444142031 its reverse (13024144400001), we get a palindrome (23024588542032).

The spelling of 10000444142031 in words is "ten trillion, four hundred forty-four million, one hundred forty-two thousand, thirty-one".