Search a number
-
+
442421040033 = 32721716758439
BaseRepresentation
bin1100111000000100101…
…10010101001110100001
31120021222002020111001200
412130002112111032201
524222034241240113
6535125002151413
743651414535400
oct6340226251641
91507862214050
10442421040033
111606a2163675
12718b1ab2569
133294916516b
14175b0109637
15b795c10873
hex67025953a1

442421040033 has 36 divisors (see below), whose sum is σ = 743443758720. Its totient is φ = 252792970416.

The previous prime is 442421040023. The next prime is 442421040067. The reversal of 442421040033 is 330040124244.

It is a happy number.

442421040033 is a `hidden beast` number, since 4 + 4 + 242 + 10 + 400 + 3 + 3 = 666.

It is not a de Polignac number, because 442421040033 - 29 = 442421039521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 442421039979 and 442421040006.

It is not an unprimeable number, because it can be changed into a prime (442421040023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7541428 + ... + 7599866.

It is an arithmetic number, because the mean of its divisors is an integer number (20651215520).

Almost surely, 2442421040033 is an apocalyptic number.

It is an amenable number.

442421040033 is a deficient number, since it is larger than the sum of its proper divisors (301022718687).

442421040033 is a wasteful number, since it uses less digits than its factorization.

442421040033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75626 (or 75616 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 442421040033 its reverse (330040124244), we get a palindrome (772461164277).

The spelling of 442421040033 in words is "four hundred forty-two billion, four hundred twenty-one million, forty thousand, thirty-three".

Divisors: 1 3 7 9 21 49 63 147 441 17167 51501 58439 120169 154503 175317 360507 409073 525951 841183 1081521 1227219 2523549 2863511 3681657 7570647 8590533 25771599 1003222313 3009666939 7022556191 9029000817 21067668573 49157893337 63203005719 147473680011 442421040033