Search a number
-
+
440421341332131 = 323713110096080997
BaseRepresentation
bin110010000100011111001010…
…1100110100000001010100011
32010202101212110112020111110200
41210020332111212200022203
5430211330401340112011
64200410434314200243
7161524251260151315
oct14410762546401243
92122355415214420
10440421341332131
1111837170746a835
1241490734123083
1315b997289a8413
147aa87143ab7b5
1535db583116856
hex1908f959a02a3

440421341332131 has 24 divisors (see below), whose sum is σ = 658345249717584. Its totient is φ = 283497954367680.

The previous prime is 440421341332109. The next prime is 440421341332139. The reversal of 440421341332131 is 131233143124044.

440421341332131 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 21 + 3 + 413 + 3 + 213 + 1 = 666.

It is not a de Polignac number, because 440421341332131 - 217 = 440421341201059 is a prime.

It is a super-2 number, since 2×4404213413321312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (440421341332139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5047996876 + ... + 5048084121.

It is an arithmetic number, because the mean of its divisors is an integer number (27431052071566).

Almost surely, 2440421341332131 is an apocalyptic number.

440421341332131 is a deficient number, since it is larger than the sum of its proper divisors (217923908385453).

440421341332131 is a wasteful number, since it uses less digits than its factorization.

440421341332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10096081171 (or 10096081168 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 440421341332131 its reverse (131233143124044), we get a palindrome (571654484456175).

The spelling of 440421341332131 in words is "four hundred forty trillion, four hundred twenty-one billion, three hundred forty-one million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 37 111 131 333 393 1179 4847 14541 43623 10096080997 30288242991 90864728973 373554996889 1120664990667 1322586610607 3361994972001 3967759831821 11903279495463 48935704592459 146807113777377 440421341332131