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4144440013 = 717220315809
BaseRepresentation
bin1111011100000111…
…0010001011001101
3101200211111100220021
43313001302023031
531441434040023
61523125422141
7204463105330
oct36701621315
911624440807
104144440013
11183747913a
12977b6a951
1351082498c
142b45d2617
15193ca735d
hexf70722cd

4144440013 has 16 divisors (see below), whose sum is σ = 5017714560. Its totient is φ = 3341684736.

The previous prime is 4144440007. The next prime is 4144440017. The reversal of 4144440013 is 3100444414.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4144440013 - 213 = 4144431821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4144440013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144440017) 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, 254253 + ... + 270061.

It is an arithmetic number, because the mean of its divisors is an integer number (313607160).

Almost surely, 24144440013 is an apocalyptic number.

It is an amenable number.

4144440013 is a deficient number, since it is larger than the sum of its proper divisors (873274547).

4144440013 is a wasteful number, since it uses less digits than its factorization.

4144440013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18036.

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4144440013 is about 64377.3253016930. The cubic root of 4144440013 is about 1606.2825917211.

Adding to 4144440013 its reverse (3100444414), we get a palindrome (7244884427).

The spelling of 4144440013 in words is "four billion, one hundred forty-four million, four hundred forty thousand, thirteen".

Divisors: 1 7 17 119 2203 15421 15809 37451 110663 262157 268753 1881271 34827227 243790589 592062859 4144440013