Search a number
-
+
42332134401 = 3217535220389
BaseRepresentation
bin100111011011001100…
…010001110000000001
311001021012101020110200
4213123030101300001
51143144011300101
631240324315413
73026013130314
oct473314216001
9131235336420
1042332134401
1116a53428147
128254b42b69
133cb829904b
14209820297b
15117b604986
hex9db311c01

42332134401 has 24 divisors (see below), whose sum is σ = 65964848040. Its totient is φ = 26060176896.

The previous prime is 42332134381. The next prime is 42332134441. The reversal of 42332134401 is 10443123324.

42332134401 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 213 + 440 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12803148801 + 29528985600 = 113151^2 + 171840^2 .

It is not a de Polignac number, because 42332134401 - 26 = 42332134337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42332134441) 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, 2602086 + ... + 2618303.

It is an arithmetic number, because the mean of its divisors is an integer number (2748535335).

Almost surely, 242332134401 is an apocalyptic number.

It is an amenable number.

42332134401 is a deficient number, since it is larger than the sum of its proper divisors (23632713639).

42332134401 is a wasteful number, since it uses less digits than its factorization.

42332134401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220465 (or 5220462 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42332134401 its reverse (10443123324), we get a palindrome (52775257725).

The spelling of 42332134401 in words is "forty-two billion, three hundred thirty-two million, one hundred thirty-four thousand, four hundred one".

Divisors: 1 3 9 17 51 53 153 159 477 901 2703 8109 5220389 15661167 46983501 88746613 266239839 276680617 798719517 830041851 2490125553 4703570489 14110711467 42332134401