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4142882081 = 132774332657
BaseRepresentation
bin1111011011101111…
…0101110100100001
3101200201120012211002
43312323311310201
531441034211311
61523032201345
7204443626262
oct36673656441
911621505732
104142882081
111836604698
12977539255
135103ca820
142b4308969
15193a9a93b
hexf6ef5d21

4142882081 has 16 divisors (see below), whose sum is σ = 4489702224. Its totient is φ = 3800162304.

The previous prime is 4142882077. The next prime is 4142882083. The reversal of 4142882081 is 1802882414.

It can be written as a sum of positive squares in 8 ways, for example, as 1018631056 + 3124251025 = 31916^2 + 55895^2 .

It is a cyclic number.

It is not a de Polignac number, because 4142882081 - 22 = 4142882077 is a prime.

It is a super-2 number, since 2×41428820812 = 34326943874141781122, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4142882083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1557905 + ... + 1560561.

It is an arithmetic number, because the mean of its divisors is an integer number (280606389).

Almost surely, 24142882081 is an apocalyptic number.

It is an amenable number.

4142882081 is a deficient number, since it is larger than the sum of its proper divisors (346820143).

4142882081 is a wasteful number, since it uses less digits than its factorization.

4142882081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380.

The product of its (nonzero) digits is 32768, while the sum is 38.

The square root of 4142882081 is about 64365.2241587023. The cubic root of 4142882081 is about 1606.0812945071.

The spelling of 4142882081 in words is "four billion, one hundred forty-two million, eight hundred eighty-two thousand, eighty-one".

Divisors: 1 13 277 433 2657 3601 5629 34541 119941 735989 1150481 1559233 9567857 14956253 318683237 4142882081