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441124433112 = 233112374105469
BaseRepresentation
bin1100110101101010001…
…00001010110011011000
31120011121201110000202010
412122311010022303120
524211410323324422
6534352203305520
743604321546316
oct6326504126330
91504551400663
10441124433112
11160097273700
12715ab81b2a0
13327a064772c
14174c9c2d0b6
15b71be90b0c
hex66b510acd8

441124433112 has 96 divisors (see below), whose sum is σ = 1244942722800. Its totient is φ = 130061226240.

The previous prime is 441124433053. The next prime is 441124433143. The reversal of 441124433112 is 211334421144.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 441124433112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1945287 + ... + 2160182.

Almost surely, 2441124433112 is an apocalyptic number.

It is an amenable number.

441124433112 is an abundant number, since it is smaller than the sum of its proper divisors (803818289688).

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

441124433112 is a wasteful number, since it uses less digits than its factorization.

441124433112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105537 (or 4105522 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 441124433112 its reverse (211334421144), we get a palindrome (652458854256).

The spelling of 441124433112 in words is "four hundred forty-one billion, one hundred twenty-four million, four hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 121 132 148 222 242 264 296 363 407 444 484 726 814 888 968 1221 1452 1628 2442 2904 3256 4477 4884 8954 9768 13431 17908 26862 35816 53724 107448 4105469 8210938 12316407 16421876 24632814 32843752 45160159 49265628 90320318 98531256 135480477 151902353 180640636 270960954 303804706 361281272 455707059 496761749 541921908 607609412 911414118 993523498 1083843816 1215218824 1490285247 1670925883 1822828236 1987046996 2980570494 3341851766 3645656472 3974093992 5012777649 5961140988 6683703532 10025555298 11922281976 13367407064 18380184713 20051110596 36760369426 40102221192 55140554139 73520738852 110281108278 147041477704 220562216556 441124433112