Base | Representation |
---|---|
bin | 111101101111110100001… |
… | …111000111001011100000 |
3 | 120000122112000110100121100 |
4 | 331233310033013023200 |
5 | 1024010113430322144 |
6 | 13005151343554400 |
7 | 615364126434351 |
oct | 75576417071340 |
9 | 16018460410540 |
10 | 4243230323424 |
11 | 13965a8995694 |
12 | 5864492bba00 |
13 | 24a19a4c4c31 |
14 | 109532a2bd28 |
15 | 75599804269 |
hex | 3dbf43c72e0 |
4243230323424 has 144 divisors (see below), whose sum is σ = 12249884005632. Its totient is φ = 1392947069184.
The previous prime is 4243230323407. The next prime is 4243230323477.
4243230323424 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 2 + 303 + 2 + 342 + 4 = 666.
4243230323424 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82619097 + ... + 82670439.
It is an arithmetic number, because the mean of its divisors is an integer number (85068638928).
Almost surely, 24243230323424 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 4243230323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124942002816).
4243230323424 is an abundant number, since it is smaller than the sum of its proper divisors (8006653682208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4243230323424 is a wasteful number, since it uses less digits than its factorization.
4243230323424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 55709 (or 55698 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 36.
It can be divided in two parts, 4243230 and 323424, that added together give a palindrome (4566654).
The spelling of 4243230323424 in words is "four trillion, two hundred forty-three billion, two hundred thirty million, three hundred twenty-three thousand, four hundred twenty-four".
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