Base | Representation |
---|---|
bin | 1100100000001100100… |
… | …0110000111011111100 |
3 | 202112102211222002100000 |
4 | 3020003020300323330 |
5 | 12004403023302134 |
6 | 242402254434300 |
7 | 21342653216100 |
oct | 3100310607374 |
9 | 675384862300 |
10 | 214800994044 |
11 | 8310761a08a |
12 | 35768502990 |
13 | 1734286b510 |
14 | a579b01900 |
15 | 58c2a78e99 |
hex | 3203230efc |
214800994044 has 972 divisors, whose sum is σ = 769266002232. Its totient is φ = 51937925760.
The previous prime is 214800994043. The next prime is 214800994087. The reversal of 214800994044 is 440499008412.
214800994044 is a `hidden beast` number, since 2 + 1 + 480 + 0 + 99 + 40 + 44 = 666.
It is a tau number, because it is divible by the number of its divisors (972).
It is a super-2 number, since 2×2148009940442 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (214800994043) by changing a digit.
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 323 ways as a sum of consecutive naturals, for example, 6929064309 + ... + 6929064339.
Almost surely, 2214800994044 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 214800994044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384633001116).
214800994044 is an abundant number, since it is smaller than the sum of its proper divisors (554465008188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214800994044 is a wasteful number, since it uses less digits than its factorization.
214800994044 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 146 (or 75 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 45.
The spelling of 214800994044 in words is "two hundred fourteen billion, eight hundred million, nine hundred ninety-four thousand, forty-four".
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