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42332441120 = 2551153229469
BaseRepresentation
bin100111011011001101…
…011100101000100000
311001021012221211012122
4213123031130220200
51143144101103440
631240335043412
73026015545454
oct473315345040
9131235854178
1042332441120
1116a53617632
128255070568
133cb8375838
142098282664
15117b6657b5
hex9db35ca20

42332441120 has 48 divisors (see below), whose sum is σ = 100097567640. Its totient is φ = 16918216704.

The previous prime is 42332441111. The next prime is 42332441153. The reversal of 42332441120 is 2114423324.

It can be written as a sum of positive squares in 4 ways, for example, as 42243403024 + 89038096 = 205532^2 + 9436^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42332441120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69746 + ... + 299214.

Almost surely, 242332441120 is an apocalyptic number.

42332441120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42332441120 is an abundant number, since it is smaller than the sum of its proper divisors (57765126520).

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

42332441120 is a wasteful number, since it uses less digits than its factorization.

42332441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230637 (or 230629 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 42332441120 its reverse (2114423324), we get a palindrome (44446864444).

The spelling of 42332441120 in words is "forty-two billion, three hundred thirty-two million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1153 2306 4612 5765 9224 11530 18448 23060 36896 46120 92240 184480 229469 458938 917876 1147345 1835752 2294690 3671504 4589380 7343008 9178760 18357520 36715040 264577757 529155514 1058311028 1322888785 2116622056 2645777570 4233244112 5291555140 8466488224 10583110280 21166220560 42332441120