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10044044001 = 321116004889
BaseRepresentation
bin10010101101010101…
…11111001011100001
3221220222122022010200
421112222333023201
5131032233402001
64340354415413
7503620652055
oct112652771341
927828568120
1010044044001
114294667a12
121b43891569
13c40b6b904
146b3d49c65
153dbbad086
hex256abf2e1

10044044001 has 6 divisors (see below), whose sum is σ = 14508063570. Its totient is φ = 6696029328.

The previous prime is 10044043991. The next prime is 10044044009.

10044044001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 10040040000 + 4004001 = 100200^2 + 2001^2 .

It is not a de Polignac number, because 10044044001 - 223 = 10035655393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10044044009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 558002436 + ... + 558002453.

It is an arithmetic number, because the mean of its divisors is an integer number (2418010595).

Almost surely, 210044044001 is an apocalyptic number.

It is an amenable number.

10044044001 is a deficient number, since it is larger than the sum of its proper divisors (4464019569).

10044044001 is a wasteful number, since it uses less digits than its factorization.

10044044001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116004895 (or 1116004892 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 100440 and 44001, that added together give a palindrome (144441).

The spelling of 10044044001 in words is "ten billion, forty-four million, forty-four thousand, one".

Divisors: 1 3 9 1116004889 3348014667 10044044001