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442221334104 = 233111675080811
BaseRepresentation
bin1100110111101100111…
…00100000111001011000
31120021110011110101000210
412123312130200321120
524221132130142404
6535053105531120
743643441214354
oct6336634407130
91507404411023
10442221334104
111605aa461650
1271857043aa0
1332916981984
14175917a2464
15b783413689
hex66f6720e58

442221334104 has 32 divisors (see below), whose sum is σ = 1206058184640. Its totient is φ = 134006464800.

The previous prime is 442221334081. The next prime is 442221334183. The reversal of 442221334104 is 401433122244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 837540142 + ... + 837540669.

It is an arithmetic number, because the mean of its divisors is an integer number (37689318270).

Almost surely, 2442221334104 is an apocalyptic number.

442221334104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442221334104 is an abundant number, since it is smaller than the sum of its proper divisors (763836850536).

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

442221334104 is a wasteful number, since it uses less digits than its factorization.

442221334104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675080831 (or 1675080827 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 442221334104 its reverse (401433122244), we get a palindrome (843654456348).

The spelling of 442221334104 in words is "four hundred forty-two billion, two hundred twenty-one million, three hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1675080811 3350161622 5025242433 6700323244 10050484866 13400646488 18425888921 20100969732 36851777842 40201939464 55277666763 73703555684 110555333526 147407111368 221110667052 442221334104