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440412213141 = 32174889588773
BaseRepresentation
bin1100110100010101001…
…11010000111110010101
31120002210002021111121200
412122022213100332111
524203431011310031
6534153402103113
743550553021255
oct6321247207625
91502702244550
10440412213141
1115a86123825a
12714311aaa99
13326b8c1a1b4
141745d3d3965
15b6c96a78e6
hex668a9d0f95

440412213141 has 24 divisors (see below), whose sum is σ = 673710537240. Its totient is φ = 276280083456.

The previous prime is 440412213133. The next prime is 440412213149. The reversal of 440412213141 is 141312214044.

440412213141 is a `hidden beast` number, since 4 + 404 + 1 + 2 + 213 + 1 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (440412213133) and next prime (440412213149).

It can be written as a sum of positive squares in 4 ways, for example, as 314660414916 + 125751798225 = 560946^2 + 354615^2 .

It is not a de Polignac number, because 440412213141 - 23 = 440412213133 is a prime.

It is a super-2 number, since 2×4404122131412 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440412213149) 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, 453631 + ... + 1042403.

It is an arithmetic number, because the mean of its divisors is an integer number (28071272385).

Almost surely, 2440412213141 is an apocalyptic number.

It is an amenable number.

440412213141 is a deficient number, since it is larger than the sum of its proper divisors (233298324099).

440412213141 is a wasteful number, since it uses less digits than its factorization.

440412213141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593685 (or 593682 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 440412213141 its reverse (141312214044), we get a palindrome (581724427185).

The spelling of 440412213141 in words is "four hundred forty billion, four hundred twelve million, two hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 9 17 51 153 4889 14667 44001 83113 249339 588773 748017 1766319 5298957 10009141 30027423 90082269 2878511197 8635533591 25906600773 48934690349 146804071047 440412213141