Search a number
-
+
4000243131 = 33317960497
BaseRepresentation
bin1110111001101110…
…1101110110111011
3101022210011101222000
43232123231312323
531143030240011
61500535032043
7201062335263
oct35633556673
911283141860
104000243131
11177303a965
1293780b623
134b99a8291
1429d3b87a3
151862c2356
hexee6eddbb

4000243131 has 32 divisors (see below), whose sum is σ = 6194995200. Its totient is φ = 2548091520.

The previous prime is 4000243127. The next prime is 4000243139. The reversal of 4000243131 is 1313420004.

It is not a de Polignac number, because 4000243131 - 22 = 4000243127 is a prime.

It is a super-2 number, since 2×40002431312 = 32003890214225366322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4000243139) 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, 35875 + ... + 96371.

It is an arithmetic number, because the mean of its divisors is an integer number (193593600).

Almost surely, 24000243131 is an apocalyptic number.

4000243131 is a deficient number, since it is larger than the sum of its proper divisors (2194752069).

4000243131 is a wasteful number, since it uses less digits than its factorization.

4000243131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60616 (or 60610 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4000243131 is about 63247.4752934850. The cubic root of 4000243131 is about 1587.4332135170.

Adding to 4000243131 its reverse (1313420004), we get a palindrome (5313663135).

The spelling of 4000243131 in words is "four billion, two hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 27 31 79 93 237 279 711 837 2133 2449 7347 22041 60497 66123 181491 544473 1633419 1875407 4779263 5626221 14337789 16878663 43013367 50635989 129040101 148157153 444471459 1333414377 4000243131