Search a number
-
+
40440124131 = 31129414721929
BaseRepresentation
bin100101101010011010…
…110101001011100011
310212101100020011022020
4211222122311023203
51130310132433011
630324500112523
72631100245351
oct455232651343
9125340204266
1040440124131
11161724398a0
127a07395743
133a76302044
141d58c187d1
1510ba474006
hex96a6b52e3

40440124131 has 64 divisors (see below), whose sum is σ = 63663667200. Its totient is φ = 22594611200.

The previous prime is 40440124111. The next prime is 40440124159. The reversal of 40440124131 is 13142104404.

It is a cyclic number.

It is not a de Polignac number, because 40440124131 - 211 = 40440122083 is a prime.

It is a super-2 number, since 2×404401241312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40440124111) 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 63 ways as a sum of consecutive naturals, for example, 1833175 + ... + 1855103.

It is an arithmetic number, because the mean of its divisors is an integer number (994744800).

Almost surely, 240440124131 is an apocalyptic number.

40440124131 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

40440124131 is a deficient number, since it is larger than the sum of its proper divisors (23223543069).

40440124131 is a wasteful number, since it uses less digits than its factorization.

40440124131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22060.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 40440124131 its reverse (13142104404), we get a palindrome (53582228535).

The spelling of 40440124131 in words is "forty billion, four hundred forty million, one hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 11 29 33 41 47 87 123 141 319 451 517 957 1189 1353 1363 1551 1927 3567 4089 5781 13079 14993 21197 21929 39237 44979 55883 63591 65787 167649 241219 614713 635941 723657 899089 1030663 1844139 1907823 2697267 3091989 6995351 9889979 11337293 20986053 26073581 29669937 29889227 34011879 42257183 78220743 89667681 126771549 286809391 328781497 464829013 860428173 986344491 1225458307 1394487039 3676374921 13480041377 40440124131