Base | Representation |
---|---|
bin | 1010001110011110011110… |
… | …0011010001101000000000 |
3 | 1110210220020202002020000000 |
4 | 2203213213203101220000 |
5 | 2433204312413312020 |
6 | 35525200440000000 |
7 | 2240224124522244 |
oct | 243474743215000 |
9 | 43726222066000 |
10 | 11243814197760 |
11 | 3645524a97401 |
12 | 1317162760000 |
13 | 637396a91321 |
14 | 2ac2bc610424 |
15 | 1477263d8090 |
hex | a39e78d1a00 |
11243814197760 has 960 divisors, whose sum is σ = 41109965043840. Its totient is φ = 2948647256064.
The previous prime is 11243814197741. The next prime is 11243814197783. The reversal of 11243814197760 is 6779141834211.
11243814197760 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 381 + 4 + 197 + 76 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 11243814197697 and 11243814197706.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 82071636412 + ... + 82071636548.
It is an arithmetic number, because the mean of its divisors is an integer number (42822880254).
Almost surely, 211243814197760 is an apocalyptic number.
11243814197760 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 11243814197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20554982521920).
11243814197760 is an abundant number, since it is smaller than the sum of its proper divisors (29866150846080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11243814197760 is an frugal number, since it uses more digits than its factorization.
11243814197760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 425 (or 254 counting only the distinct ones).
The product of its (nonzero) digits is 2032128, while the sum is 54.
The spelling of 11243814197760 in words is "eleven trillion, two hundred forty-three billion, eight hundred fourteen million, one hundred ninety-seven thousand, seven hundred sixty".
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