| Base | Representation |
|---|---|
| bin | 10011000100110111… |
| … | …11111111000000000 |
| 3 | 222102202002010022000 |
| 4 | 21202123333320000 |
| 5 | 131433302110110 |
| 6 | 4412125344000 |
| 7 | 511535546250 |
| oct | 114233777000 |
| 9 | 28382063260 |
| 10 | 10241441280 |
| 11 | 4386032464 |
| 12 | 1b99a08000 |
| 13 | c72a24335 |
| 14 | 6d2251960 |
| 15 | 3ee1a11c0 |
| hex | 2626ffe00 |
10241441280 has 640 divisors, whose sum is σ = 42378716160. Its totient is φ = 2295889920.
The previous prime is 10241441267. The next prime is 10241441299. The reversal of 10241441280 is 8214414201.
10241441280 is a `hidden beast` number, since 1 + 0 + 241 + 4 + 412 + 8 + 0 = 666.
10241441280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (640).
It is a Harshad number since it is a multiple of its sum of digits (27).
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 63 ways as a sum of consecutive naturals, for example, 29514067 + ... + 29514413.
It is an arithmetic number, because the mean of its divisors is an integer number (66216744).
Almost surely, 210241441280 is an apocalyptic number.
10241441280 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 10241441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21189358080).
10241441280 is an abundant number, since it is smaller than the sum of its proper divisors (32137274880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10241441280 is an equidigital number, since it uses as much as digits as its factorization.
10241441280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 447 (or 425 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 27.
Adding to 10241441280 its reverse (8214414201), we get a palindrome (18455855481).
The spelling of 10241441280 in words is "ten billion, two hundred forty-one million, four hundred forty-one thousand, two hundred eighty".
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