Search a number
-
+
1040440221 = 3529191773
BaseRepresentation
bin111110000000111…
…101101110011101
32200111202211200000
4332000331232131
54112323041341
6251124124513
734532411262
oct7600755635
92614684600
101040440221
11494335157
12250536739
13137729202
149c277269
156151d8b6
hex3e03db9d

1040440221 has 48 divisors (see below), whose sum is σ = 1622799360. Its totient is φ = 665340480.

The previous prime is 1040440189. The next prime is 1040440241. The reversal of 1040440221 is 1220440401.

1040440221 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 440 + 221 = 666.

It is not a de Polignac number, because 1040440221 - 25 = 1040440189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1040440194 and 1040440203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040440241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1345591 + ... + 1346363.

It is an arithmetic number, because the mean of its divisors is an integer number (33808320).

Almost surely, 21040440221 is an apocalyptic number.

It is an amenable number.

1040440221 is a deficient number, since it is larger than the sum of its proper divisors (582359139).

1040440221 is an equidigital number, since it uses as much as digits as its factorization.

1040440221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1040440221 is about 32255.8556079357. The cubic root of 1040440221 is about 1013.3023368746.

Adding to 1040440221 its reverse (1220440401), we get a palindrome (2260880622).

It can be divided in two parts, 10404 and 40221, that added together give a 4-th power (50625 = 154).

The spelling of 1040440221 in words is "one billion, forty million, four hundred forty thousand, two hundred twenty-one".

Divisors: 1 3 9 27 29 81 87 191 243 261 573 773 783 1719 2319 2349 5157 5539 6957 7047 15471 16617 20871 22417 46413 49851 62613 67251 147643 149553 187839 201753 442929 448659 605259 1328787 1345977 1815777 3986361 4281647 5447331 11959083 12844941 35877249 38534823 115604469 346813407 1040440221