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4142810286 = 23513165071
BaseRepresentation
bin1111011011101110…
…0100010010101110
3101200201102120100000
43312323210102232
531441024412121
61523030445130
7204443210046
oct36673442256
911621376300
104142810286
11183656575a
129775037a6
135103a3c44
142b42ca726
15193a84526
hexf6ee44ae

4142810286 has 48 divisors (see below), whose sum is σ = 9379738368. Its totient is φ = 1370374200.

The previous prime is 4142810281. The next prime is 4142810327. The reversal of 4142810286 is 6820182414.

It is a self number, because there is not a number n which added to its sum of digits gives 4142810286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142810281) 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 23 ways as a sum of consecutive naturals, for example, 31131 + ... + 96201.

It is an arithmetic number, because the mean of its divisors is an integer number (195411216).

Almost surely, 24142810286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142810286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689869184).

4142810286 is an abundant number, since it is smaller than the sum of its proper divisors (5236928082).

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

4142810286 is a wasteful number, since it uses less digits than its factorization.

4142810286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65219 (or 65207 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4142810286 is about 64364.6664405246. Note that the first 3 decimals coincide. The cubic root of 4142810286 is about 1606.0720168054.

The spelling of 4142810286 in words is "four billion, one hundred forty-two million, eight hundred ten thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 243 262 393 486 786 1179 2358 3537 7074 10611 21222 31833 63666 65071 130142 195213 390426 585639 1171278 1756917 3513834 5270751 8524301 10541502 15812253 17048602 25572903 31624506 51145806 76718709 153437418 230156127 460312254 690468381 1380936762 2071405143 4142810286