Base | Representation |
---|---|
bin | 1010000111011000… |
… | …01010100000100000 |
3 | 112000110122222121100 |
4 | 11003230022200200 |
5 | 42110214240034 |
6 | 2254512554400 |
7 | 251401330650 |
oct | 50354124040 |
9 | 15013588540 |
10 | 5430618144 |
11 | 2337495876 |
12 | 1076852a00 |
13 | 687130623 |
14 | 397356360 |
15 | 21bb67099 |
hex | 143b0a820 |
5430618144 has 144 divisors (see below), whose sum is σ = 17821544832. Its totient is φ = 1536482304.
The previous prime is 5430618139. The next prime is 5430618157. The reversal of 5430618144 is 4418160345.
5430618144 is a `hidden beast` number, since 5 + 4 + 30 + 618 + 1 + 4 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×54306181442 = 58983226851884009472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 5430618099 and 5430618108.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194572 + ... + 220724.
It is an arithmetic number, because the mean of its divisors is an integer number (123760728).
Almost surely, 25430618144 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 5430618144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910772416).
5430618144 is an abundant number, since it is smaller than the sum of its proper divisors (12390926688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5430618144 is a wasteful number, since it uses less digits than its factorization.
5430618144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 26279 (or 26268 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The square root of 5430618144 is about 73692.7278908849. The cubic root of 5430618144 is about 1757.7202473152.
Adding to 5430618144 its reverse (4418160345), we get a palindrome (9848778489).
The spelling of 5430618144 in words is "five billion, four hundred thirty million, six hundred eighteen thousand, one hundred forty-four".
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