Search a number
-
+
4041130311 = 331983107887
BaseRepresentation
bin1111000011011110…
…1100000101000111
3101102122002200122000
43300313230011013
531234012132221
61504555240343
7202100020011
oct36067540507
911378080560
104041130311
111794127019
129494490b3
134c52c288a
142a49bd1b1
15189b9be26
hexf0dec147

4041130311 has 64 divisors (see below), whose sum is σ = 6444748800. Its totient is φ = 2495160288.

The previous prime is 4041130279. The next prime is 4041130339. The reversal of 4041130311 is 1130311404.

It is not a de Polignac number, because 4041130311 - 25 = 4041130279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041130361) 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 63 ways as a sum of consecutive naturals, for example, 4555510 + ... + 4556396.

It is an arithmetic number, because the mean of its divisors is an integer number (100699200).

Almost surely, 24041130311 is an apocalyptic number.

4041130311 is a deficient number, since it is larger than the sum of its proper divisors (2403618489).

4041130311 is a wasteful number, since it uses less digits than its factorization.

4041130311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4041130311 is about 63569.8852523740. The cubic root of 4041130311 is about 1592.8233673379.

Adding to 4041130311 its reverse (1130311404), we get a palindrome (5171441715).

The spelling of 4041130311 in words is "four billion, forty-one million, one hundred thirty thousand, three hundred eleven".

Divisors: 1 3 9 19 27 57 83 107 171 249 321 513 747 887 963 1577 2033 2241 2661 2889 4731 6099 7983 8881 14193 16853 18297 23949 26643 42579 50559 54891 73621 79929 94909 151677 168739 220863 239787 284727 455031 506217 662589 854181 1398799 1518651 1803271 1987767 2562543 4196397 4555953 5409813 7877447 12589191 16229439 23632341 37767573 48688317 70897023 149671493 212691069 449014479 1347043437 4041130311