| Base | Representation |
|---|---|
| bin | 10111111110010110111000… |
| … | …111101010010100110110000 |
| 3 | 111211022222201200022022000211 |
| 4 | 113332112320331102212300 |
| 5 | 102310013120314133430 |
| 6 | 1012130330132353504 |
| 7 | 31131543550440256 |
| oct | 2776267075224660 |
| 9 | 454288650268024 |
| 10 | 105440255224240 |
| 11 | 30661a632858a2 |
| 12 | b9ab040175894 |
| 13 | 46aac8674c351 |
| 14 | 1c0749aba45d6 |
| 15 | c2cb229d872a |
| hex | 5fe5b8f529b0 |
105440255224240 has 80 divisors (see below), whose sum is σ = 246990109433760. Its totient is φ = 41859892039680.
The previous prime is 105440255224223. The next prime is 105440255224319. The reversal of 105440255224240 is 42422552044501.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-3 number, since 3×1054402552242403 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 105440255224193 and 105440255224202.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6300931 + ... + 15829789.
It is an arithmetic number, because the mean of its divisors is an integer number (3087376367922).
Almost surely, 2105440255224240 is an apocalyptic number.
105440255224240 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 105440255224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123495054716880).
105440255224240 is an abundant number, since it is smaller than the sum of its proper divisors (141549854209520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105440255224240 is a wasteful number, since it uses less digits than its factorization.
105440255224240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9529910 (or 9529904 counting only the distinct ones).
The product of its (nonzero) digits is 512000, while the sum is 40.
The spelling of 105440255224240 in words is "one hundred five trillion, four hundred forty billion, two hundred fifty-five million, two hundred twenty-four thousand, two hundred forty".
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