Search a number
-
+
442242433001 = 2971927977583
BaseRepresentation
bin1100110111101111011…
…00111111111111101001
31120021111122011022021102
412123313230333333221
524221203030324001
6535055142051145
743644115441235
oct6336754777751
91507448138242
10442242433001
11160610362556
1271862119ab5
133291b15b325
14175944d55c5
15b7851cee6b
hex66f7b3ffe9

442242433001 has 16 divisors (see below), whose sum is σ = 458352691200. Its totient is φ = 426190164288.

The previous prime is 442242432967. The next prime is 442242433019. The reversal of 442242433001 is 100334242244.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442242433001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442242433021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58316456 + ... + 58324038.

It is an arithmetic number, because the mean of its divisors is an integer number (28647043200).

Almost surely, 2442242433001 is an apocalyptic number.

It is an amenable number.

442242433001 is a deficient number, since it is larger than the sum of its proper divisors (16110258199).

442242433001 is a wasteful number, since it uses less digits than its factorization.

442242433001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11128.

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 442242433001 its reverse (100334242244), we get a palindrome (542576675245).

The spelling of 442242433001 in words is "four hundred forty-two billion, two hundred forty-two million, four hundred thirty-three thousand, one".

Divisors: 1 29 719 2797 7583 20851 81113 219907 2011043 5452177 21209651 58320247 158113133 615079879 15249739069 442242433001