| Base | Representation |
|---|---|
| bin | 110000101110111111101010… |
| … | …100011010101100001000000 |
| 3 | 1001002220021212121221120020200 |
| 4 | 300232333222203111201000 |
| 5 | 211043133442123312000 |
| 6 | 2035504242241405200 |
| 7 | 63101146105541211 |
| oct | 6056775243254100 |
| 9 | 1032807777846220 |
| 10 | 214335688104000 |
| 11 | 6232628923aa61 |
| 12 | 20057838339800 |
| 13 | 92799cb99ac18 |
| 14 | 3acdc8cc5d408 |
| 15 | 19ba56a7ee500 |
| hex | c2efea8d5840 |
214335688104000 has 1344 divisors, whose sum is σ = 793304787824640. Its totient is φ = 55218704486400.
The previous prime is 214335688103899. The next prime is 214335688104001. The reversal of 214335688104000 is 401886533412.
214335688104000 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 3 + 568 + 81 + 0 + 4 + 0 + 0 + 0 = 666.
It is a super-2 number, since 2×2143356881040002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (214335688104001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50515125879 + ... + 50515130121.
It is an arithmetic number, because the mean of its divisors is an integer number (590256538560).
Almost surely, 2214335688104000 is an apocalyptic number.
214335688104000 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 214335688104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396652393912320).
214335688104000 is an abundant number, since it is smaller than the sum of its proper divisors (578969099720640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214335688104000 is a wasteful number, since it uses less digits than its factorization.
214335688104000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4545 (or 4522 counting only the distinct ones).
The product of its (nonzero) digits is 552960, while the sum is 45.
The spelling of 214335688104000 in words is "two hundred fourteen trillion, three hundred thirty-five billion, six hundred eighty-eight million, one hundred four thousand".
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