Base | Representation |
---|---|
bin | 100110111100110111… |
… | …100010101001011000 |
3 | 10222221202001221112000 |
4 | 212330313202221120 |
5 | 1141123241211404 |
6 | 31114032121000 |
7 | 3010264611420 |
oct | 467467425130 |
9 | 128852057460 |
10 | 41823382104 |
11 | 16812232aa9 |
12 | 8132696160 |
13 | 3c36a6b29a |
14 | 204a80d480 |
15 | 114bb0d339 |
hex | 9bcde2a58 |
41823382104 has 128 divisors (see below), whose sum is σ = 133447564800. Its totient is φ = 11888795520.
The previous prime is 41823382093. The next prime is 41823382109. The reversal of 41823382104 is 40128332814.
It is a happy number.
41823382104 is a `hidden beast` number, since 418 + 23 + 3 + 8 + 210 + 4 = 666.
It is a super-3 number, since 3×418233821043 (a number of 33 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41823382109) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227659 + ... + 368069.
It is an arithmetic number, because the mean of its divisors is an integer number (1042559100).
Almost surely, 241823382104 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 41823382104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66723782400).
41823382104 is an abundant number, since it is smaller than the sum of its proper divisors (91624182696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41823382104 is a wasteful number, since it uses less digits than its factorization.
41823382104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 140630 (or 140620 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The spelling of 41823382104 in words is "forty-one billion, eight hundred twenty-three million, three hundred eighty-two thousand, one hundred four".
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