Base | Representation |
---|---|
bin | 10110100111101100… |
… | …01110011101000000 |
3 | 1011100100100100012101 |
4 | 23103312032131000 |
5 | 144332400022034 |
6 | 5325015040144 |
7 | 606641335141 |
oct | 132366163500 |
9 | 34310310171 |
10 | 12144142144 |
11 | 5172062812 |
12 | 242b070054 |
13 | 11b6c92334 |
14 | 832c1dac8 |
15 | 4b1244514 |
hex | 2d3d8e740 |
12144142144 has 56 divisors (see below), whose sum is σ = 25385024160. Its totient is φ = 5748374016.
The previous prime is 12144142139. The next prime is 12144142177. The reversal of 12144142144 is 44124144121.
12144142144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 2316294 + ... + 2321530.
Almost surely, 212144142144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12144142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12692512080).
12144142144 is an abundant number, since it is smaller than the sum of its proper divisors (13240882016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12144142144 is a wasteful number, since it uses less digits than its factorization.
12144142144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7175 (or 7165 counting only the distinct ones).
The product of its digits is 4096, while the sum is 28.
Adding to 12144142144 its reverse (44124144121), we get a palindrome (56268286265).
The spelling of 12144142144 in words is "twelve billion, one hundred forty-four million, one hundred forty-two thousand, one hundred forty-four".
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