| Base | Representation |
|---|---|
| bin | 1010000110001100000110… |
| … | …1001101101111001010000 |
| 3 | 1110022021202202020201222212 |
| 4 | 2201203001221231321100 |
| 5 | 2423341224233301230 |
| 6 | 35335533321451252 |
| 7 | 2224024066500236 |
| oct | 241430151557120 |
| 9 | 43267682221885 |
| 10 | 11101444431440 |
| 11 | 35a0106a70800 |
| 12 | 12b364b340b28 |
| 13 | 626b2826ab4c |
| 14 | 2a5454392956 |
| 15 | 143b92613895 |
| hex | a18c1a6de50 |
11101444431440 has 240 divisors, whose sum is σ = 28539542883600. Its totient is φ = 4012921651200.
The previous prime is 11101444431409. The next prime is 11101444431461. The reversal of 11101444431440 is 4413444410111.
It can be written as a sum of positive squares in 8 ways, for example, as 30945031744 + 11070499399696 = 175912^2 + 3327236^2 .
It is a junction number, because it is equal to n+sod(n) for n = 11101444431397 and 11101444431406.
It is a congruent number.
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 47 ways as a sum of consecutive naturals, for example, 1203926030 + ... + 1203935250.
It is an arithmetic number, because the mean of its divisors is an integer number (118914762015).
Almost surely, 211101444431440 is an apocalyptic number.
11101444431440 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 11101444431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14269771441800).
11101444431440 is an abundant number, since it is smaller than the sum of its proper divisors (17438098452160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11101444431440 is a wasteful number, since it uses less digits than its factorization.
11101444431440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9982 (or 9965 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 32.
Adding to 11101444431440 its reverse (4413444410111), we get a palindrome (15514888841551).
The spelling of 11101444431440 in words is "eleven trillion, one hundred one billion, four hundred forty-four million, four hundred thirty-one thousand, four hundred forty".
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