Search a number
-
+
444422324142 = 232372351283837
BaseRepresentation
bin1100111011110011010…
…00100111111110101110
31120111010120000020202100
412131321220213332232
524240134103333032
6540055332435530
744052125266056
oct6357150477656
91514116006670
10444422324142
111615298a7a85
1272170178ba6
1332ba796bb44
141771dc1a566
15b86177897c
hex6779a27fae

444422324142 has 48 divisors (see below), whose sum is σ = 989363898432. Its totient is φ = 144075153600.

The previous prime is 444422324077. The next prime is 444422324147. The reversal of 444422324142 is 241423224444.

444422324142 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 2 + 232 + 414 + 2 = 666.

It is a super-3 number, since 3×4444223241423 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 444422324097 and 444422324106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444422324147) 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, 1423848 + ... + 1707684.

It is an arithmetic number, because the mean of its divisors is an integer number (20611747884).

Almost surely, 2444422324142 is an apocalyptic number.

444422324142 is an abundant number, since it is smaller than the sum of its proper divisors (544941574290).

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

444422324142 is a wasteful number, since it uses less digits than its factorization.

444422324142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286233 (or 286230 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 444422324142 its reverse (241423224444), we get a palindrome (685845548586).

The spelling of 444422324142 in words is "four hundred forty-four billion, four hundred twenty-two million, three hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 2351 4702 7053 14106 21159 42318 86987 173974 260961 283837 521922 567674 782883 851511 1565766 1703022 2554533 5109066 10501969 21003938 31505907 63011814 94517721 189035442 667300787 1334601574 2001902361 4003804722 6005707083 12011414166 24690129119 49380258238 74070387357 148140774714 222211162071 444422324142