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4142105055 = 3251122936541
BaseRepresentation
bin1111011011100011…
…1000000111011111
3101200200002201221100
43312320320013133
531440334330210
61523003404143
7204434212014
oct36670700737
911620081840
104142105055
111836123920
12977223653
135101b7c4a
142b418570b
151939955c0
hexf6e381df

4142105055 has 48 divisors (see below), whose sum is σ = 7866761760. Its totient is φ = 1999468800.

The previous prime is 4142105047. The next prime is 4142105101. The reversal of 4142105055 is 5505012414.

4142105055 is a `hidden beast` number, since 4 + 142 + 10 + 505 + 5 = 666.

It is not a de Polignac number, because 4142105055 - 23 = 4142105047 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95085 + ... + 131625.

It is an arithmetic number, because the mean of its divisors is an integer number (163890870).

Almost surely, 24142105055 is an apocalyptic number.

4142105055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4142105055 is a deficient number, since it is larger than the sum of its proper divisors (3724656705).

4142105055 is a wasteful number, since it uses less digits than its factorization.

4142105055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36792 (or 36789 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 4142105055 is about 64359.1878056273. The cubic root of 4142105055 is about 1605.9808777015.

Adding to 4142105055 its reverse (5505012414), we get a palindrome (9647117469).

The spelling of 4142105055 in words is "four billion, one hundred forty-two million, one hundred five thousand, fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 229 495 687 1145 2061 2519 3435 7557 10305 12595 22671 36541 37785 109623 113355 182705 328869 401951 548115 1205853 1644345 2009755 3617559 6029265 8367889 18087795 25103667 41839445 75311001 92046779 125518335 276140337 376555005 460233895 828421011 1380701685 4142105055