Base | Representation |
---|---|
bin | 101000011100111000… |
… | …011110100000100000 |
3 | 11011010000012000011202 |
4 | 220130320132200200 |
5 | 1202423131140112 |
6 | 31541534300332 |
7 | 3065224643261 |
oct | 503470364040 |
9 | 134100160152 |
10 | 43434240032 |
11 | 17469550447 |
12 | 85020576a8 |
13 | 4132706261 |
14 | 216072c968 |
15 | 11e32546c2 |
hex | a1ce1e820 |
43434240032 has 72 divisors (see below), whose sum is σ = 90923201460. Its totient is φ = 20420280320.
The previous prime is 43434240007. The next prime is 43434240061. The reversal of 43434240032 is 23004243434.
It can be written as a sum of positive squares in 6 ways, for example, as 43229063056 + 205176976 = 207916^2 + 14324^2 .
It is a super-3 number, since 3×434342400323 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 43434239977 and 43434240004.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15914444 + ... + 15917172.
Almost surely, 243434240032 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 43434240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45461600730).
43434240032 is an abundant number, since it is smaller than the sum of its proper divisors (47488961428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
43434240032 is a wasteful number, since it uses less digits than its factorization.
43434240032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4494 (or 4469 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 29.
Adding to 43434240032 its reverse (23004243434), we get a palindrome (66438483466).
The spelling of 43434240032 in words is "forty-three billion, four hundred thirty-four million, two hundred forty thousand, thirty-two".
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