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442042322221 = 7355011100777
BaseRepresentation
bin1100110111010111100…
…01101000110100101101
31120020222200121121220001
412123223301220310231
524220300313302341
6535023233024301
743636135513003
oct6335361506455
91506880547801
10442042322221
11160518404345
12718070b5091
13328b8865796
1417575ac4a73
15b772852d31
hex66ebc68d2d

442042322221 has 8 divisors (see below), whose sum is σ = 448179561144. Its totient is φ = 435907296000.

The previous prime is 442042322159. The next prime is 442042322237. The reversal of 442042322221 is 122223240244.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 177568689321 + 264473632900 = 421389^2 + 514270^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 442042322221 - 213 = 442042314029 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 442042322221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442042322261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148816 + ... + 951961.

It is an arithmetic number, because the mean of its divisors is an integer number (56022445143).

Almost surely, 2442042322221 is an apocalyptic number.

It is an amenable number.

442042322221 is a deficient number, since it is larger than the sum of its proper divisors (6137238923).

442042322221 is a wasteful number, since it uses less digits than its factorization.

442042322221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106351.

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 442042322221 its reverse (122223240244), we get a palindrome (564265562465).

The spelling of 442042322221 in words is "four hundred forty-two billion, forty-two million, three hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 73 5501 401573 1100777 80356721 6055374277 442042322221