Base | Representation |
---|---|
bin | 100001101010011000… |
… | …000100111000110000 |
3 | 10110021222010112021000 |
4 | 201222120010320300 |
5 | 1043010433402421 |
6 | 24334324402000 |
7 | 2416456424514 |
oct | 415230047060 |
9 | 113258115230 |
10 | 36144434736 |
11 | 14368655873 |
12 | 7008846300 |
13 | 35403618b7 |
14 | 1a6c4d4144 |
15 | e18292226 |
hex | 86a604e30 |
36144434736 has 80 divisors (see below), whose sum is σ = 104274799200. Its totient is φ = 11986958592.
The previous prime is 36144434731. The next prime is 36144434759. The reversal of 36144434736 is 63743444163.
36144434736 is a `hidden beast` number, since 3 + 6 + 144 + 434 + 73 + 6 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 36144434691 and 36144434700.
It is not an unprimeable number, because it can be changed into a prime (36144434731) 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 15 ways as a sum of consecutive naturals, for example, 127251 + ... + 297458.
It is an arithmetic number, because the mean of its divisors is an integer number (1303434990).
Almost surely, 236144434736 is an apocalyptic number.
36144434736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
36144434736 is an abundant number, since it is smaller than the sum of its proper divisors (68130364464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36144434736 is a wasteful number, since it uses less digits than its factorization.
36144434736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 424923 (or 424911 counting only the distinct ones).
The product of its digits is 1741824, while the sum is 45.
Adding to 36144434736 its reverse (63743444163), we get a palindrome (99887878899).
The spelling of 36144434736 in words is "thirty-six billion, one hundred forty-four million, four hundred thirty-four thousand, seven hundred thirty-six".
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