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442434404022 = 2313257102121617
BaseRepresentation
bin1100111000000110010…
…01010011111010110110
31120022000000101110000020
412130003021103322312
524222101201412042
6535130200430010
743651636245432
oct6340311237266
91508000343006
10442434404022
111606a9761196
12718b6478306
133294bb63c50
14175b1bc79c2
15b796ea03ec
hex6703253eb6

442434404022 has 64 divisors (see below), whose sum is σ = 957624825024. Its totient is φ = 135464878080.

The previous prime is 442434404003. The next prime is 442434404023. The reversal of 442434404022 is 220404434244.

442434404022 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442434404023) 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, 20456158 + ... + 20477774.

It is an arithmetic number, because the mean of its divisors is an integer number (14962887891).

Almost surely, 2442434404022 is an apocalyptic number.

442434404022 is an abundant number, since it is smaller than the sum of its proper divisors (515190421002).

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

442434404022 is a wasteful number, since it uses less digits than its factorization.

442434404022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22913.

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 442434404022 its reverse (220404434244), we get a palindrome (662838838266).

The spelling of 442434404022 in words is "four hundred forty-two billion, four hundred thirty-four million, four hundred four thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 257 514 771 1021 1542 2042 3063 3341 6126 6682 10023 13273 20046 21617 26546 39819 43234 64851 79638 129702 262397 281021 524794 562042 787191 843063 1574382 1686126 3411161 5555569 6822322 10233483 11111138 16666707 20466966 22070957 33333414 44141914 66212871 72222397 132425742 144444794 216667191 286922441 433334382 573844882 860767323 1721534646 5672235949 11344471898 17016707847 34033415694 73739067337 147478134674 221217202011 442434404022