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12144144033 = 3273710350581
BaseRepresentation
bin10110100111101100…
…01110111010100001
31011100100100102210100
423103312032322201
5144332400102113
65325015053013
7606641343510
oct132366167241
934310312710
1012144144033
11517206417a
12242b071169
1311b6c93158
14832c20677
154b1244d73
hex2d3d8eea1

12144144033 has 48 divisors (see below), whose sum is σ = 20789606656. Its totient is φ = 6686271360.

The previous prime is 12144144031. The next prime is 12144144041. The reversal of 12144144033 is 33044144121.

12144144033 is a `hidden beast` number, since 1 + 214 + 4 + 1 + 440 + 3 + 3 = 666.

It is not a de Polignac number, because 12144144033 - 21 = 12144144031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12144143988 and 12144144006.

It is not an unprimeable number, because it can be changed into a prime (12144144031) 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 47 ways as a sum of consecutive naturals, for example, 214803 + ... + 265383.

Almost surely, 212144144033 is an apocalyptic number.

It is an amenable number.

12144144033 is a deficient number, since it is larger than the sum of its proper divisors (8645462623).

12144144033 is a wasteful number, since it uses less digits than its factorization.

12144144033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50734 (or 50731 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12144144033 its reverse (33044144121), we get a palindrome (45188288154).

The spelling of 12144144033 in words is "twelve billion, one hundred forty-four million, one hundred forty-four thousand, thirty-three".

Divisors: 1 3 7 9 21 37 63 103 111 259 309 333 721 777 927 2163 2331 3811 6489 11433 26677 34299 50581 80031 151743 240093 354067 455229 1062201 1871497 3186603 5209843 5614491 13100479 15629529 16843473 36468901 39301437 46888587 109406703 117904311 192764191 328220109 578292573 1349349337 1734877719 4048048011 12144144033