Base | Representation |
---|---|
bin | 11111111111111111111… |
… | …111111111111000000000 |
3 | 21210020001201012202021020 |
4 | 133333333333333320000 |
5 | 242012044423130130 |
6 | 4402114540025440 |
7 | 314605563155103 |
oct | 37777777777000 |
9 | 7706051182236 |
10 | 2199023255040 |
11 | 778667332047 |
12 | 2b6228532280 |
13 | 12c4a03c9241 |
14 | 7860cd5873a |
15 | 3c305815e10 |
hex | 1fffffffe00 |
2199023255040 has 320 divisors, whose sum is σ = 7472609204544. Its totient is φ = 549755813888.
The previous prime is 2199023255027. The next prime is 2199023255069. The reversal of 2199023255040 is 405523209912.
It is a tau number, because it is divible by the number of its divisors (320).
It is a nialpdrome in base 2.
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 2199023254983 and 2199023255001.
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 65537 × 65535 × 512.
It is a congruent number.
It is an unprimeable number.
In principle, a polygon with 2199023255040 sides can be constructed with ruler and compass.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33521152 + ... + 33586688.
Almost surely, 22199023255040 is an apocalyptic number.
2199023255040 is a gapful number since it is divisible by the number (20) 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 2199023255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736304602272).
2199023255040 is an abundant number, since it is smaller than the sum of its proper divisors (5273585949504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2199023255040 is a wasteful number, since it uses less digits than its factorization.
2199023255040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 65837 (or 65821 counting only the distinct ones).
The product of its (nonzero) digits is 194400, while the sum is 42.
The spelling of 2199023255040 in words is "two trillion, one hundred ninety-nine billion, twenty-three million, two hundred fifty-five thousand, forty".
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