Base | Representation |
---|---|
bin | 1100110101011111001000… |
… | …0010000111000011010000 |
3 | 1211222012012012102202221000 |
4 | 3031113302002013003100 |
5 | 3322211440210104200 |
6 | 50003234033502000 |
7 | 2654426665303215 |
oct | 315276202070320 |
9 | 54865165382830 |
10 | 14113028206800 |
11 | 4551335551346 |
12 | 16bb248711900 |
13 | 7b4b119300a3 |
14 | 36b1078bbb0c |
15 | 1971a3cac300 |
hex | cd5f20870d0 |
14113028206800 has 240 divisors, whose sum is σ = 50235027391360. Its totient is φ = 3763241856000.
The previous prime is 14113028206799. The next prime is 14113028206801. The reversal of 14113028206800 is 860282031141.
14113028206800 is a `hidden beast` number, since 1 + 411 + 30 + 2 + 8 + 206 + 8 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (14113028206799) and next prime (14113028206801).
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (14113028206801) by changing a digit.
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, 242333685 + ... + 242391915.
Almost surely, 214113028206800 is an apocalyptic number.
14113028206800 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 14113028206800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25117513695680).
14113028206800 is an abundant number, since it is smaller than the sum of its proper divisors (36121999184560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14113028206800 is a wasteful number, since it uses less digits than its factorization.
14113028206800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 80699 (or 80682 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The spelling of 14113028206800 in words is "fourteen trillion, one hundred thirteen billion, twenty-eight million, two hundred six thousand, eight hundred".
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