| Base | Representation |
|---|---|
| bin | 1100110110100101010… |
| … | …10111001110000000000 |
| 3 | 1120012220100001122111100 |
| 4 | 12123102222321300000 |
| 5 | 24213420002014034 |
| 6 | 534513345214400 |
| 7 | 43622532431052 |
| oct | 6332252716000 |
| 9 | 1505810048440 |
| 10 | 441621126144 |
| 11 | 160321681510 |
| 12 | 7170a031400 |
| 13 | 3284c512533 |
| 14 | 17535ba38d2 |
| 15 | b74a8a4099 |
| hex | 66d2ab9c00 |
441621126144 has 528 divisors, whose sum is σ = 1491101614080. Its totient is φ = 124522168320.
The previous prime is 441621126119. The next prime is 441621126277.
441621126144 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 21 + 12 + 614 + 4 = 666.
441621126144 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (528).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 441621126099 and 441621126108.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 86268417 + ... + 86273535.
Almost surely, 2441621126144 is an apocalyptic number.
441621126144 is a gapful number since it is divisible by the number (44) 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 441621126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745550807040).
441621126144 is an abundant number, since it is smaller than the sum of its proper divisors (1049480487936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
441621126144 is a wasteful number, since it uses less digits than its factorization.
441621126144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5216 (or 5195 counting only the distinct ones).
The product of its digits is 36864, while the sum is 36.
It can be divided in two parts, 441621 and 126144, that added together give a palindrome (567765).
The spelling of 441621126144 in words is "four hundred forty-one billion, six hundred twenty-one million, one hundred twenty-six thousand, one hundred forty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.063 sec. • engine limits •