Search a number
-
+
442402224042 = 23372637577197
BaseRepresentation
bin1100111000000010011…
…10100011011110101010
31120021220202211112101010
412130001032203132222
524222014432132132
6535123051004350
743651065600312
oct6340116433652
91507822745333
10442402224042
11160692581969
12718a77396b6
13329452a793c
14175ab80c442
15b7942456cc
hex67013a37aa

442402224042 has 32 divisors (see below), whose sum is σ = 912173404032. Its totient is φ = 142936225344.

The previous prime is 442402224037. The next prime is 442402224049. The reversal of 442402224042 is 240422204244.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (442402224049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3730213 + ... + 3846984.

It is an arithmetic number, because the mean of its divisors is an integer number (28505418876).

Almost surely, 2442402224042 is an apocalyptic number.

442402224042 is an abundant number, since it is smaller than the sum of its proper divisors (469771179990).

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

442402224042 is a wasteful number, since it uses less digits than its factorization.

442402224042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577502.

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 442402224042 its reverse (240422204244), we get a palindrome (682824428286).

The spelling of 442402224042 in words is "four hundred forty-two billion, four hundred two million, two hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 37 74 111 222 263 526 789 1578 9731 19462 29193 58386 7577197 15154394 22731591 45463182 280356289 560712578 841068867 1682137734 1992802811 3985605622 5978408433 11956816866 73733704007 147467408014 221201112021 442402224042