| Base | Representation |
|---|---|
| bin | 1011111101110001101… |
| … | …10010101011011110000 |
| 3 | 1110022011212201122122010 |
| 4 | 11332320312111123300 |
| 5 | 23213440011110212 |
| 6 | 512511203442520 |
| 7 | 41463005032350 |
| oct | 5767066253360 |
| 9 | 1408155648563 |
| 10 | 411123144432 |
| 11 | 1493a132a450 |
| 12 | 67818386440 |
| 13 | 2c9cbc20c00 |
| 14 | 15c8156ab60 |
| 15 | aa631b003c |
| hex | 5fb8d956f0 |
411123144432 has 480 divisors, whose sum is σ = 1472663600640. Its totient is φ = 95901511680.
The previous prime is 411123144401. The next prime is 411123144491. The reversal of 411123144432 is 234441321114.
It is a happy number.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 411123144432.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23102194 + ... + 23119982.
It is an arithmetic number, because the mean of its divisors is an integer number (3068049168).
Almost surely, 2411123144432 is an apocalyptic number.
411123144432 is a gapful number since it is divisible by the number (42) 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 411123144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736331800320).
411123144432 is an abundant number, since it is smaller than the sum of its proper divisors (1061540456208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
411123144432 is a wasteful number, since it uses less digits than its factorization.
411123144432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17881 (or 17862 counting only the distinct ones).
The product of its digits is 9216, while the sum is 30.
Adding to 411123144432 its reverse (234441321114), we get a palindrome (645564465546).
It can be divided in two parts, 411123 and 144432, that added together give a palindrome (555555).
The spelling of 411123144432 in words is "four hundred eleven billion, one hundred twenty-three million, one hundred forty-four thousand, four hundred thirty-two".
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