Search a number
-
+
444440422242 = 232107983234749
BaseRepresentation
bin1100111011110101011…
…01101010011101100010
31120111011211001201200100
412131322231222131202
524240203222002432
6540101220403230
744052435154155
oct6357255523542
91514154051610
10444440422242
11161539039393
1272176246516
1332bab63768b
14177223abc9c
15b86315107c
hex677ab6a762

444440422242 has 48 divisors (see below), whose sum is σ = 972946728000. Its totient is φ = 146612332896.

The previous prime is 444440422241. The next prime is 444440422357. The reversal of 444440422242 is 242224044444.

444440422242 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 404 + 2 + 2 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 444440422197 and 444440422206.

It is not an unprimeable number, because it can be changed into a prime (444440422241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1775884 + ... + 2010632.

It is an arithmetic number, because the mean of its divisors is an integer number (20269723500).

Almost surely, 2444440422242 is an apocalyptic number.

444440422242 is an abundant number, since it is smaller than the sum of its proper divisors (528506305758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444440422242 is a wasteful number, since it uses less digits than its factorization.

444440422242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235847 (or 235844 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 444440422242 its reverse (242224044444), we get a palindrome (686664466686).

The spelling of 444440422242 in words is "four hundred forty-four billion, four hundred forty million, four hundred twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 107 214 321 642 963 983 1926 1966 2949 5898 8847 17694 105181 210362 234749 315543 469498 631086 704247 946629 1408494 1893258 2112741 4225482 25118143 50236286 75354429 150708858 226063287 230758267 452126574 461516534 692274801 1384549602 2076824403 4153648806 24691134569 49382269138 74073403707 148146807414 222220211121 444440422242