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442220399985 = 357131719057117
BaseRepresentation
bin1100110111101100110…
…00111100110101110001
31120021110002200220122210
412123312120330311301
524221131410244420
6535053033522333
743643430244110
oct6336630746561
91507402626583
10442220399985
111605a9983851
12718568733a9
1332916715740
14175915dbc77
15b7832cb9e0
hex66f663cd71

442220399985 has 64 divisors (see below), whose sum is σ = 922059597312. Its totient is φ = 175630381056.

The previous prime is 442220399981. The next prime is 442220399987. The reversal of 442220399985 is 589993022244.

It is not a de Polignac number, because 442220399985 - 22 = 442220399981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442220399981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9505354 + ... + 9551763.

It is an arithmetic number, because the mean of its divisors is an integer number (14407181208).

Almost surely, 2442220399985 is an apocalyptic number.

It is an amenable number.

442220399985 is an abundant number, since it is smaller than the sum of its proper divisors (479839197327).

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

442220399985 is a wasteful number, since it uses less digits than its factorization.

442220399985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19057162.

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 442220399985 in words is "four hundred forty-two billion, two hundred twenty million, three hundred ninety-nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 13 15 17 21 35 39 51 65 85 91 105 119 195 221 255 273 357 455 595 663 1105 1365 1547 1785 3315 4641 7735 23205 19057117 57171351 95285585 133399819 247742521 285856755 323970989 400199457 666999095 743227563 971912967 1238712605 1619854945 1734197647 2000997285 2267796923 3716137815 4211622857 4859564835 5202592941 6803390769 8670988235 11338984615 12634868571 21058114285 26012964705 29481359999 34016953845 63174342855 88444079997 147406799995 442220399985