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42443100042 = 2374124647561
BaseRepresentation
bin100111100001110011…
…100100111110001010
311001112221011212201020
4213201303210332022
51143410413200132
631255330533310
73031531253310
oct474163447612
9131487155636
1042443100042
1117000029292
128286137236
13400527baa5
1420a8c4a0b0
15118622352c
hex9e1ce4f8a

42443100042 has 32 divisors (see below), whose sum is σ = 99378969984. Its totient is φ = 11830828800.

The previous prime is 42443099999. The next prime is 42443100047. The reversal of 42443100042 is 24000134424.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42443099985 and 42443100021.

It is not an unprimeable number, because it can be changed into a prime (42443100047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12322059 + ... + 12325502.

It is an arithmetic number, because the mean of its divisors is an integer number (3105592812).

Almost surely, 242443100042 is an apocalyptic number.

42443100042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

42443100042 is an abundant number, since it is smaller than the sum of its proper divisors (56935869942).

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

42443100042 is a wasteful number, since it uses less digits than its factorization.

42443100042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24647614.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42443100042 its reverse (24000134424), we get a palindrome (66443234466).

The spelling of 42443100042 in words is "forty-two billion, four hundred forty-three million, one hundred thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1722 24647561 49295122 73942683 147885366 172532927 345065854 517598781 1010550001 1035197562 2021100002 3031650003 6063300006 7073850007 14147700014 21221550021 42443100042