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4212442413 = 32617672937
BaseRepresentation
bin1111101100010100…
…1100010100101101
3101212120110020122200
43323011030110231
532111341124123
61533555132113
7206250112134
oct37305142455
911776406580
104212442413
1118718a5373
129968a4039
1352194419a
142bd65491b
15199c3b143
hexfb14c52d

4212442413 has 12 divisors (see below), whose sum is σ = 6184388028. Its totient is φ = 2762256960.

The previous prime is 4212442391. The next prime is 4212442417. The reversal of 4212442413 is 3142442124.

4212442413 is a `hidden beast` number, since 4 + 2 + 1 + 244 + 2 + 413 = 666.

4212442413 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 111576969 + 4100865444 = 10563^2 + 64038^2 .

It is not a de Polignac number, because 4212442413 - 224 = 4195665197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212442417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3835920 + ... + 3837017.

It is an arithmetic number, because the mean of its divisors is an integer number (515365669).

Almost surely, 24212442413 is an apocalyptic number.

It is an amenable number.

4212442413 is a deficient number, since it is larger than the sum of its proper divisors (1971945615).

4212442413 is a wasteful number, since it uses less digits than its factorization.

4212442413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7673004 (or 7673001 counting only the distinct ones).

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

The square root of 4212442413 is about 64903.3312935476. The cubic root of 4212442413 is about 1615.0203249334.

Adding to 4212442413 its reverse (3142442124), we get a palindrome (7354884537).

The spelling of 4212442413 in words is "four billion, two hundred twelve million, four hundred forty-two thousand, four hundred thirteen".

Divisors: 1 3 9 61 183 549 7672937 23018811 69056433 468049157 1404147471 4212442413