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4142243232 = 25334794263
BaseRepresentation
bin1111011011100101…
…1001110110100000
3101200200100202111000
43312321121312200
531440403240412
61523010352000
7204435325611
oct36671316640
911620322430
104142243232
111836208716
1297728b600
13510235aca
142b41bdc08
151939c14dc
hexf6e59da0

4142243232 has 48 divisors (see below), whose sum is σ = 12081545280. Its totient is φ = 1380747456.

The previous prime is 4142243207. The next prime is 4142243233. The reversal of 4142243232 is 2323422414.

4142243232 is a `hidden beast` number, since 4 + 1 + 422 + 4 + 3 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4142243196 and 4142243205.

It is not an unprimeable number, because it can be changed into a prime (4142243233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2396268 + ... + 2397995.

It is an arithmetic number, because the mean of its divisors is an integer number (251698860).

Almost surely, 24142243232 is an apocalyptic number.

It is an amenable number.

4142243232 is an abundant number, since it is smaller than the sum of its proper divisors (7939302048).

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

4142243232 is a wasteful number, since it uses less digits than its factorization.

4142243232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794282 (or 4794268 counting only the distinct ones).

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

The square root of 4142243232 is about 64360.2612797680. The cubic root of 4142243232 is about 1605.9987355419.

Adding to 4142243232 its reverse (2323422414), we get a palindrome (6465665646).

The spelling of 4142243232 in words is "four billion, one hundred forty-two million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4794263 9588526 14382789 19177052 28765578 38354104 43148367 57531156 76708208 86296734 115062312 129445101 153416416 172593468 230124624 258890202 345186936 460249248 517780404 690373872 1035560808 1380747744 2071121616 4142243232