Base | Representation |
---|---|
bin | 100110010011101010… |
… | …101010100111001000 |
3 | 10221011120101020222122 |
4 | 212103222222213020 |
5 | 1133214312003000 |
6 | 30521300310412 |
7 | 2654202300266 |
oct | 462352524710 |
9 | 127146336878 |
10 | 41132141000 |
11 | 16498026365 |
12 | 7b7b0a2408 |
13 | 3b567a7892 |
14 | 1dc2ab5436 |
15 | 110b0bb085 |
hex | 993aaa9c8 |
41132141000 has 64 divisors (see below), whose sum is σ = 96409198080. Its totient is φ = 16425508800.
The previous prime is 41132140999. The next prime is 41132141003. The reversal of 41132141000 is 14123114.
It is a happy number.
It is a self number, because there is not a number n which added to its sum of digits gives 41132141000.
It is not an unprimeable number, because it can be changed into a prime (41132141003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573119 + ... + 640881.
It is an arithmetic number, because the mean of its divisors is an integer number (1506393720).
Almost surely, 241132141000 is an apocalyptic number.
41132141000 is a gapful number since it is divisible by the number (40) 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 41132141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48204599040).
41132141000 is an abundant number, since it is smaller than the sum of its proper divisors (55277057080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41132141000 is a wasteful number, since it uses less digits than its factorization.
41132141000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 68391 (or 68377 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 17.
Adding to 41132141000 its reverse (14123114), we get a palindrome (41146264114).
The spelling of 41132141000 in words is "forty-one billion, one hundred thirty-two million, one hundred forty-one thousand".
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