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4144241322 = 2321321362341
BaseRepresentation
bin1111011100000100…
…0001101010101010
3101200211010021100100
43313001001222222
531441411210242
61523121250230
7204461320134
oct36701015252
911624107310
104144241322
111837352931
12977a93976
13510785400
142b4580054
15193c6854c
hexf7041aaa

4144241322 has 36 divisors (see below), whose sum is σ = 9723034854. Its totient is φ = 1275150240.

The previous prime is 4144241303. The next prime is 4144241327. The reversal of 4144241322 is 2231424414.

4144241322 is a `hidden beast` number, since 414 + 4 + 241 + 3 + 2 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3044722041 + 1099519281 = 55179^2 + 33159^2 .

It is a super-2 number, since 2×41442413222 = 34349472269944615368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4144241327) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 678129 + ... + 684212.

Almost surely, 24144241322 is an apocalyptic number.

4144241322 is an abundant number, since it is smaller than the sum of its proper divisors (5578793532).

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

4144241322 is a wasteful number, since it uses less digits than its factorization.

4144241322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362375 (or 1362359 counting only the distinct ones).

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

The square root of 4144241322 is about 64375.7821078703. The cubic root of 4144241322 is about 1606.2569220694.

Adding to 4144241322 its reverse (2231424414), we get a palindrome (6375665736).

The spelling of 4144241322 in words is "four billion, one hundred forty-four million, two hundred forty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 1362341 2724682 4087023 8174046 12261069 17710433 24522138 35420866 53131299 106262598 159393897 230235629 318787794 460471258 690706887 1381413774 2072120661 4144241322