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442443323034 = 23319499864191
BaseRepresentation
bin1100111000000111010…
…11010101011010011010
31120022000122011120121000
412130003223111122122
524222110442314114
6535131115525430
743652105123406
oct6340353253232
91508018146530
10442443323034
111607037a3179
12718b9459876
133295096777b
14175b306a106
15b797b62e09
hex6703ad569a

442443323034 has 64 divisors (see below), whose sum is σ = 1037030400000. Its totient is φ = 139438784880.

The previous prime is 442443323017. The next prime is 442443323041. The reversal of 442443323034 is 430323344244.

442443323034 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 442443323034.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79879 + ... + 944069.

It is an arithmetic number, because the mean of its divisors is an integer number (16203600000).

Almost surely, 2442443323034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442443323034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518515200000).

442443323034 is an abundant number, since it is smaller than the sum of its proper divisors (594587076966).

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

442443323034 is a wasteful number, since it uses less digits than its factorization.

442443323034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864720 (or 864714 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 442443323034 its reverse (430323344244), we get a palindrome (872766667278).

The spelling of 442443323034 in words is "four hundred forty-two billion, four hundred forty-three million, three hundred twenty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 499 513 998 1026 1497 2994 4491 8982 9481 13473 18962 26946 28443 56886 85329 170658 255987 511974 864191 1728382 2592573 5185146 7777719 15555438 16419629 23333157 32839258 46666314 49258887 98517774 147776661 295553322 431231309 443329983 862462618 886659966 1293693927 2587387854 3881081781 7762163562 8193394871 11643245343 16386789742 23286490686 24580184613 49160369226 73740553839 147481107678 221221661517 442443323034