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244442133 = 321317592083
BaseRepresentation
bin11101001000111…
…10010000010101
3122000221221120100
432210132100111
51000034122013
640131124313
76025503165
oct1644362025
9560857510
10244442133
11115a87aa1
1269a43699
133b847a20
14246705a5
15166d7473
hexe91e415

244442133 has 48 divisors (see below), whose sum is σ = 409631040. Its totient is φ = 139110912.

The previous prime is 244442071. The next prime is 244442141. The reversal of 244442133 is 331244442.

It is a happy number.

244442133 is a `hidden beast` number, since 2 + 4 + 444 + 213 + 3 = 666.

It is not a de Polignac number, because 244442133 - 212 = 244438037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 244442097 and 244442106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244442833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116310 + ... + 118392.

It is an arithmetic number, because the mean of its divisors is an integer number (8533980).

Almost surely, 2244442133 is an apocalyptic number.

244442133 is the 9027-th octagonal number.

It is an amenable number.

244442133 is a deficient number, since it is larger than the sum of its proper divisors (165188907).

244442133 is a wasteful number, since it uses less digits than its factorization.

244442133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2175 counting only the distinct ones).

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

The square root of 244442133 is about 15634.6452789950. The cubic root of 244442133 is about 625.2571809849.

Adding to 244442133 its reverse (331244442), we get a palindrome (575686575).

The spelling of 244442133 in words is "two hundred forty-four million, four hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 13 17 39 51 59 117 153 177 221 531 663 767 1003 1989 2083 2301 3009 6249 6903 9027 13039 18747 27079 35411 39117 81237 106233 117351 122897 243711 318699 368691 460343 1106073 1381029 1597661 2089249 4143087 4792983 6267747 14378949 18803241 27160237 81480711 244442133