| Base | Representation |
|---|---|
| bin | 11101010001000001111… |
| … | …000111101001011100000 |
| 3 | 21010021010111210212100200 |
| 4 | 131101001320331023200 |
| 5 | 230422313414103344 |
| 6 | 4135524251145200 |
| 7 | 265205114111124 |
| oct | 35210170751340 |
| 9 | 7107114725320 |
| 10 | 2011150144224 |
| 11 | 705a1890a211 |
| 12 | 285936145200 |
| 13 | 11785c60b450 |
| 14 | 6d4a9685584 |
| 15 | 374abd29069 |
| hex | 1d441e3d2e0 |
2011150144224 has 288 divisors, whose sum is σ = 6364958955264. Its totient is φ = 598182174720.
The previous prime is 2011150144141. The next prime is 2011150144243. The reversal of 2011150144224 is 4224410511102.
2011150144224 is a `hidden beast` number, since 2 + 0 + 111 + 501 + 4 + 42 + 2 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×20111501442242 (a number of 25 digits) contains 22 as substring.
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, 108742722 + ... + 108761214.
It is an arithmetic number, because the mean of its divisors is an integer number (22100551928).
Almost surely, 22011150144224 is an apocalyptic number.
2011150144224 is a gapful number since it is divisible by the number (24) 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 2011150144224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182479477632).
2011150144224 is an abundant number, since it is smaller than the sum of its proper divisors (4353808811040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2011150144224 is a wasteful number, since it uses less digits than its factorization.
2011150144224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19490 (or 19479 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 27.
Adding to 2011150144224 its reverse (4224410511102), we get a palindrome (6235560655326).
The spelling of 2011150144224 in words is "two trillion, eleven billion, one hundred fifty million, one hundred forty-four thousand, two hundred twenty-four".
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