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4224144321 = 322916184461
BaseRepresentation
bin1111101111000111…
…0101001111000001
3101220101110202122200
43323301311033001
532122340104241
61535054023413
7206451430365
oct37361651701
911811422580
104224144321
111878468171
1299a7a7b69
135241b05a7
142c101d2a5
1519ac9d4b6
hexfbc753c1

4224144321 has 12 divisors (see below), whose sum is σ = 6311940180. Its totient is φ = 2718989280.

The previous prime is 4224144313. The next prime is 4224144439. The reversal of 4224144321 is 1234414224.

4224144321 is a `hidden beast` number, since 4 + 224 + 1 + 4 + 432 + 1 = 666.

4224144321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 933974721 + 3290169600 = 30561^2 + 57360^2 .

It is not a de Polignac number, because 4224144321 - 23 = 4224144313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4224144521) 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 11 ways as a sum of consecutive naturals, for example, 8091970 + ... + 8092491.

It is an arithmetic number, because the mean of its divisors is an integer number (525995015).

Almost surely, 24224144321 is an apocalyptic number.

It is an amenable number.

4224144321 is a deficient number, since it is larger than the sum of its proper divisors (2087795859).

4224144321 is a wasteful number, since it uses less digits than its factorization.

4224144321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16184496 (or 16184493 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4224144321 is about 64993.4175205459. The cubic root of 4224144321 is about 1616.5144182602.

Adding to 4224144321 its reverse (1234414224), we get a palindrome (5458558545).

The spelling of 4224144321 in words is "four billion, two hundred twenty-four million, one hundred forty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 29 87 261 16184461 48553383 145660149 469349369 1408048107 4224144321