Search a number
-
+
42321220441 = 293737974909
BaseRepresentation
bin100111011010100010…
…101001001101011001
311001020102211202022221
4213122202221031121
51143133213023231
631235254344041
73025521303223
oct473242511531
9131212752287
1042321220441
1116a48253345
12825135b021
133cb5c47496
1420969a1413
15117a69ad11
hex9da8a9359

42321220441 has 16 divisors (see below), whose sum is σ = 43961979600. Its totient is φ = 40692895488.

The previous prime is 42321220427. The next prime is 42321220457. The reversal of 42321220441 is 14402212324.

42321220441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5715964816 + 36605255625 = 75604^2 + 191325^2 .

It is a cyclic number.

It is not a de Polignac number, because 42321220441 - 215 = 42321187673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42321820441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8618695 + ... + 8623603.

It is an arithmetic number, because the mean of its divisors is an integer number (2747623725).

Almost surely, 242321220441 is an apocalyptic number.

It is an amenable number.

42321220441 is a deficient number, since it is larger than the sum of its proper divisors (1640759159).

42321220441 is a wasteful number, since it uses less digits than its factorization.

42321220441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 42321220441 its reverse (14402212324), we get a palindrome (56723432765).

The spelling of 42321220441 in words is "forty-two billion, three hundred twenty-one million, two hundred twenty thousand, four hundred forty-one".

Divisors: 1 29 373 797 4909 10817 23113 142361 297281 1831057 3912473 8621149 53100653 113461717 1459352429 42321220441