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42003413300112 = 2431179551919129
BaseRepresentation
bin10011000110011101011101…
…00001110111001110010000
312111201111011002111110210020
421203032232201313032100
521001140442301100422
6225200033544103440
711563434511112055
oct1143165641671620
9174644132443706
1042003413300112
1112424602865840
124864662164b80
131a58b9c030634
14a52d943d902c
154cc9126cc95c
hex2633ae877390

42003413300112 has 40 divisors (see below), whose sum is σ = 118373255665440. Its totient is φ = 12728307060480.

The previous prime is 42003413300111. The next prime is 42003413300159. The reversal of 42003413300112 is 21100331430024.

It is a happy number.

42003413300112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42003413300111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39775959037 + ... + 39775960092.

It is an arithmetic number, because the mean of its divisors is an integer number (2959331391636).

Almost surely, 242003413300112 is an apocalyptic number.

It is an amenable number.

42003413300112 is an abundant number, since it is smaller than the sum of its proper divisors (76369842365328).

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

42003413300112 is a wasteful number, since it uses less digits than its factorization.

42003413300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79551919151 (or 79551919145 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42003413300112 its reverse (21100331430024), we get a palindrome (63103744730136).

The spelling of 42003413300112 in words is "forty-two trillion, three billion, four hundred thirteen million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 79551919129 159103838258 238655757387 318207676516 477311514774 636415353032 875071110419 954623029548 1272830706064 1750142220838 1909246059096 2625213331257 3500284441676 3818492118192 5250426662514 7000568883352 10500853325028 14001137766704 21001706650056 42003413300112