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441939939144 = 233112467678563
BaseRepresentation
bin1100110111001011010…
…11000100111101001000
31120020201112222000201020
412123211223010331020
524220043111023034
6535005134352440
743633453334034
oct6334553047510
91506645860636
10441939939144
11160475635430
127179895b720
13328a0599392
14175662731c4
15b76887c249
hex66e5ac4f48

441939939144 has 64 divisors (see below), whose sum is σ = 1205781085440. Its totient is φ = 133866711360.

The previous prime is 441939939131. The next prime is 441939939179.

441939939144 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, 312007 + ... + 990569.

It is an arithmetic number, because the mean of its divisors is an integer number (18840329460).

Almost surely, 2441939939144 is an apocalyptic number.

441939939144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441939939144 is an abundant number, since it is smaller than the sum of its proper divisors (763841146296).

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

441939939144 is a wasteful number, since it uses less digits than its factorization.

441939939144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681050 (or 681046 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 60.

The spelling of 441939939144 in words is "four hundred forty-one billion, nine hundred thirty-nine million, nine hundred thirty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2467 4934 7401 9868 14802 19736 27137 29604 54274 59208 81411 108548 162822 217096 325644 651288 678563 1357126 2035689 2714252 4071378 5428504 7464193 8142756 14928386 16285512 22392579 29856772 44785158 59713544 89570316 179140632 1674014921 3348029842 5022044763 6696059684 10044089526 13392119368 18414164131 20088179052 36828328262 40176358104 55242492393 73656656524 110484984786 147313313048 220969969572 441939939144