| Base | Representation |
|---|---|
| bin | 1100101100100100111… |
| … | …0100110110011000000 |
| 3 | 202212000110120022122100 |
| 4 | 3023021032212303000 |
| 5 | 12033204322223034 |
| 6 | 244112135110400 |
| 7 | 21521216633400 |
| oct | 3131116466300 |
| 9 | 685013508570 |
| 10 | 218124414144 |
| 11 | 845625aa86a |
| 12 | 36335512400 |
| 13 | 177522608a0 |
| 14 | a7b3256800 |
| 15 | 5a19706099 |
| hex | 32c93a6cc0 |
218124414144 has 1008 divisors, whose sum is σ = 820263714816. Its totient is φ = 54867456000.
The previous prime is 218124414143. The next prime is 218124414217. The reversal of 218124414144 is 441414421812.
218124414144 is a `hidden beast` number, since 2 + 1 + 81 + 24 + 414 + 144 = 666.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 218124414099 and 218124414108.
It is not an unprimeable number, because it can be changed into a prime (218124414143) by changing a digit.
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 143 ways as a sum of consecutive naturals, for example, 1444532469 + ... + 1444532619.
Almost surely, 2218124414144 is an apocalyptic number.
218124414144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 218124414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410131857408).
218124414144 is an abundant number, since it is smaller than the sum of its proper divisors (602139300672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
218124414144 is a wasteful number, since it uses less digits than its factorization.
218124414144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 354 (or 334 counting only the distinct ones).
The product of its digits is 32768, while the sum is 36.
Adding to 218124414144 its reverse (441414421812), we get a palindrome (659538835956).
The spelling of 218124414144 in words is "two hundred eighteen billion, one hundred twenty-four million, four hundred fourteen thousand, one hundred forty-four".
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