Search a number
-
+
442221120411 = 37171282396601
BaseRepresentation
bin1100110111101100110…
…11101100101110011011
31120021110011001111220020
412123312123230232123
524221132101323121
6535053101201523
743643436334350
oct6336633545633
91507404044806
10442221120411
111605aa326044
1271856b602a3
1332916908625
1417591748627
15b7833c01c6
hex66f66ecb9b

442221120411 has 32 divisors (see below), whose sum is σ = 713562651648. Its totient is φ = 237812198400.

The previous prime is 442221120389. The next prime is 442221120421. The reversal of 442221120411 is 114021122244.

It is a happy number.

It is not a de Polignac number, because 442221120411 - 26 = 442221120347 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442221120421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4529511 + ... + 4626111.

It is an arithmetic number, because the mean of its divisors is an integer number (22298832864).

Almost surely, 2442221120411 is an apocalyptic number.

442221120411 is a deficient number, since it is larger than the sum of its proper divisors (271341531237).

442221120411 is a wasteful number, since it uses less digits than its factorization.

442221120411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109451.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 442221120411 its reverse (114021122244), we get a palindrome (556242242655).

The spelling of 442221120411 in words is "four hundred forty-two billion, two hundred twenty-one million, one hundred twenty thousand, four hundred eleven".

Divisors: 1 3 7 17 21 51 119 357 12823 38469 89761 96601 217991 269283 289803 653973 676207 1525937 1642217 2028621 4577811 4926651 11495519 34486557 1238714623 3716143869 8671002361 21058148591 26013007083 63174445773 147407040137 442221120411