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4133440242 = 232319776367
BaseRepresentation
bin1111011001011111…
…0100101011110010
3101200001210112001100
43312113310223302
531431130041432
61522053545230
7204300443121
oct36627645362
911601715040
104133440242
111831245918
12974345216
1350b473039
142b2d6bab8
15192d3307c
hexf65f4af2

4133440242 has 48 divisors (see below), whose sum is σ = 9340111872. Its totient is φ = 1319604480.

The previous prime is 4133440217. The next prime is 4133440247. The reversal of 4133440242 is 2420443314.

It is a happy number.

4133440242 is a `hidden beast` number, since 413 + 3 + 4 + 4 + 0 + 242 = 666.

It is not an unprimeable number, because it can be changed into a prime (4133440247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15943 + ... + 92309.

It is an arithmetic number, because the mean of its divisors is an integer number (194585664).

Almost surely, 24133440242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4133440242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670055936).

4133440242 is an abundant number, since it is smaller than the sum of its proper divisors (5206671630).

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

4133440242 is a wasteful number, since it uses less digits than its factorization.

4133440242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76503 (or 76500 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4133440242 is about 64291.8365113332. The cubic root of 4133440242 is about 1604.8602527757.

Adding to 4133440242 its reverse (2420443314), we get a palindrome (6553883556).

The spelling of 4133440242 in words is "four billion, one hundred thirty-three million, four hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 97 186 194 279 291 558 582 873 1746 3007 6014 9021 18042 27063 54126 76367 152734 229101 458202 687303 1374606 2367377 4734754 7102131 7407599 14204262 14815198 21306393 22222797 42612786 44445594 66668391 133336782 229635569 459271138 688906707 1377813414 2066720121 4133440242