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442320023244 = 223117942416573
BaseRepresentation
bin1100110111111000101…
…00111110111011001100
31120021201001011022002010
412123330110332323030
524221332411220434
6535110553101220
743646050106661
oct6337424767314
91507631138063
10442320023244
11160650138220
12718840b7810
1332931256908
14175a0931a68
15b78be099e9
hex66fc53eecc

442320023244 has 48 divisors (see below), whose sum is σ = 1140157509120. Its totient is φ = 132339704640.

The previous prime is 442320023221. The next prime is 442320023269.

442320023244 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21197859 + ... + 21218714.

It is an arithmetic number, because the mean of its divisors is an integer number (23753281440).

Almost surely, 2442320023244 is an apocalyptic number.

442320023244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442320023244 is an abundant number, since it is smaller than the sum of its proper divisors (697837485876).

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

442320023244 is a wasteful number, since it uses less digits than its factorization.

442320023244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42416670 (or 42416668 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 4423200 and 23244, that added together give a palindrome (4446444).

The spelling of 442320023244 in words is "four hundred forty-two billion, three hundred twenty million, twenty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 10428 42416573 84833146 127249719 169666292 254499438 466582303 508998876 933164606 1399746909 1866329212 2799493818 3350909267 5598987636 6701818534 10052727801 13403637068 20105455602 36860001937 40210911204 73720003874 110580005811 147440007748 221160011622 442320023244