Base | Representation |
---|---|
bin | 10110010111001111… |
… | …00100111000101101 |
3 | 1010222201120021020000 |
4 | 23023213210320231 |
5 | 144042024143031 |
6 | 5303204014513 |
7 | 603344013522 |
oct | 131347447055 |
9 | 33881507200 |
10 | 12006084141 |
11 | 5101137797 |
12 | 23b0991439 |
13 | 11944b4bcc |
14 | 81c763149 |
15 | 4a40733e6 |
hex | 2cb9e4e2d |
12006084141 has 40 divisors (see below), whose sum is σ = 18103466304. Its totient is φ = 7929187200.
The previous prime is 12006084133. The next prime is 12006084143. The reversal of 12006084141 is 14148060021.
It is a happy number.
12006084141 is a `hidden beast` number, since 12 + 0 + 0 + 608 + 4 + 1 + 41 = 666.
It is not a de Polignac number, because 12006084141 - 23 = 12006084133 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12006084143) 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 39 ways as a sum of consecutive naturals, for example, 5294890 + ... + 5297156.
Almost surely, 212006084141 is an apocalyptic number.
It is an amenable number.
12006084141 is a deficient number, since it is larger than the sum of its proper divisors (6097382163).
12006084141 is a wasteful number, since it uses less digits than its factorization.
12006084141 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2863 (or 2854 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 27.
It can be divided in two parts, 12006084 and 141, that added together give a square (12006225 = 34652).
The spelling of 12006084141 in words is "twelve billion, six million, eighty-four thousand, one hundred forty-one".
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