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2044404131 = 71132218243
BaseRepresentation
bin111100111011011…
…0010000110100011
312021110220111020112
41321312302012203
513141331413011
6534510401535
7101443101620
oct17166620643
95243814215
102044404131
1195a0160a0
124908002ab
132677236b3
14155737347
15be73458b
hex79db21a3

2044404131 has 16 divisors (see below), whose sum is σ = 2549968128. Its totient is φ = 1592354400.

The previous prime is 2044404101. The next prime is 2044404133. The reversal of 2044404131 is 1314044402.

It is a happy number.

It is not a de Polignac number, because 2044404131 - 218 = 2044141987 is a prime.

It is a super-2 number, since 2×20444041312 = 8359176501699730322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2044404097 and 2044404106.

It is not an unprimeable number, because it can be changed into a prime (2044404133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 243896 + ... + 252138.

It is an arithmetic number, because the mean of its divisors is an integer number (159373008).

Almost surely, 22044404131 is an apocalyptic number.

2044404131 is a deficient number, since it is larger than the sum of its proper divisors (505563997).

2044404131 is a wasteful number, since it uses less digits than its factorization.

2044404131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11482.

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2044404131 is about 45215.0874266544. The cubic root of 2044404131 is about 1269.1771657621.

Adding to 2044404131 its reverse (1314044402), we get a palindrome (3358448533).

The spelling of 2044404131 in words is "two billion, forty-four million, four hundred four thousand, one hundred thirty-one".

Divisors: 1 7 11 77 3221 8243 22547 35431 57701 90673 248017 634711 26550703 185854921 292057733 2044404131