Base | Representation |
---|---|
bin | 10010101101001111… |
… | …00010011110100000 |
3 | 221220220221101002011 |
4 | 21112213202132200 |
5 | 131032020440000 |
6 | 4340323202304 |
7 | 503610165355 |
oct | 112647423640 |
9 | 27826841064 |
10 | 10043140000 |
11 | 42940aa803 |
12 | 1b43516394 |
13 | c409132ba |
14 | 6b3b9262c |
15 | 3dba802ba |
hex | 2569e27a0 |
10043140000 has 120 divisors (see below), whose sum is σ = 24777646740. Its totient is φ = 4005888000.
The previous prime is 10043139989. The next prime is 10043140001. The reversal of 10043140000 is 4134001.
It can be written as a sum of positive squares in 10 ways, for example, as 2138507536 + 7904632464 = 46244^2 + 88908^2 .
It is a super-3 number, since 3×100431400003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (10043140001) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13059616 + ... + 13060384.
Almost surely, 210043140000 is an apocalyptic number.
10043140000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10043140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12388823370).
10043140000 is an abundant number, since it is smaller than the sum of its proper divisors (14734506740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10043140000 is an frugal number, since it uses more digits than its factorization.
10043140000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1452 (or 1429 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
Adding to 10043140000 its reverse (4134001), we get a palindrome (10047274001).
The spelling of 10043140000 in words is "ten billion, forty-three million, one hundred forty thousand".
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