Search a number
-
+
442444420324 = 2217113241238921
BaseRepresentation
bin1100111000000111011…
…11100001010011100100
31120022000201020022210101
412130003233201103210
524222111232422244
6535131155233444
743652120343454
oct6340357412344
91508021208711
10442444420324
11160704382625
12718b98a8884
1332950c6005a
14175b3273d64
15b797ccd0d4
hex6703be14e4

442444420324 has 48 divisors (see below), whose sum is σ = 830513897136. Its totient is φ = 205509427200.

The previous prime is 442444420267. The next prime is 442444420333. The reversal of 442444420324 is 423024444244.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 70793244900 + 371651175424 = 266070^2 + 609632^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1732384 + ... + 1971304.

It is an arithmetic number, because the mean of its divisors is an integer number (17302372857).

Almost surely, 2442444420324 is an apocalyptic number.

It is an amenable number.

442444420324 is a deficient number, since it is larger than the sum of its proper divisors (388069476812).

442444420324 is a wasteful number, since it uses less digits than its factorization.

442444420324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239296 (or 239294 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 37.

Adding to 442444420324 its reverse (423024444244), we get a palindrome (865468864568).

The spelling of 442444420324 in words is "four hundred forty-two billion, four hundred forty-four million, four hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 4 17 34 68 113 226 241 452 482 964 1921 3842 4097 7684 8194 16388 27233 54466 108932 238921 462961 477842 925922 955684 1851844 4061657 8123314 16246628 26998073 53996146 57579961 107992292 115159922 230319844 458967241 917934482 978859337 1835868964 1957718674 3915437348 6506535593 13013071186 26026142372 110611105081 221222210162 442444420324