Base | Representation |
---|---|
bin | 111111000101100101011… |
… | …101100000000110100000 |
3 | 120100110020012101202020120 |
4 | 333011211131200012200 |
5 | 1032012221000443034 |
6 | 13115342004040240 |
7 | 625134242654031 |
oct | 77054535400640 |
9 | 16313205352216 |
10 | 4335324234144 |
11 | 1421667565902 |
12 | 5a026b393080 |
13 | 255a86082527 |
14 | 10db8ba6ca88 |
15 | 77b898e3c49 |
hex | 3f1657601a0 |
4335324234144 has 144 divisors (see below), whose sum is σ = 11645688606048. Its totient is φ = 1412150046208.
The previous prime is 4335324234107. The next prime is 4335324234181. The reversal of 4335324234144 is 4414324235334.
It is an interprime number because it is at equal distance from previous prime (4335324234107) and next prime (4335324234181).
It is a junction number, because it is equal to n+sod(n) for n = 4335324234096 and 4335324234105.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 138462139 + ... + 138493445.
It is an arithmetic number, because the mean of its divisors is an integer number (80872837542).
Almost surely, 24335324234144 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 4335324234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822844303024).
4335324234144 is an abundant number, since it is smaller than the sum of its proper divisors (7310364371904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4335324234144 is a wasteful number, since it uses less digits than its factorization.
4335324234144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32067 (or 32012 counting only the distinct ones).
The product of its digits is 1658880, while the sum is 42.
Adding to 4335324234144 its reverse (4414324235334), we get a palindrome (8749648469478).
The spelling of 4335324234144 in words is "four trillion, three hundred thirty-five billion, three hundred twenty-four million, two hundred thirty-four thousand, one hundred forty-four".
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