| Base | Representation |
|---|---|
| bin | 1100011110010101100… |
| … | …0100011011101000000 |
| 3 | 202111011001200020200000 |
| 4 | 3013211120203131000 |
| 5 | 12002342231113030 |
| 6 | 242240543400000 |
| 7 | 21324412246302 |
| oct | 3074530433500 |
| 9 | 674131606600 |
| 10 | 214301816640 |
| 11 | 8298087477a |
| 12 | 356492b3000 |
| 13 | 17293313982 |
| 14 | a52d6c1972 |
| 15 | 5893d24860 |
| hex | 31e5623740 |
214301816640 has 672 divisors, whose sum is σ = 787316834304. Its totient is φ = 55457187840.
The previous prime is 214301816609. The next prime is 214301816671. The reversal of 214301816640 is 46618103412.
214301816640 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 0 + 1 + 8 + 1 + 6 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (214301816609) and next prime (214301816671).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 214301816595 and 214301816604.
It is a congruent number.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 698051367 + ... + 698051673.
It is an arithmetic number, because the mean of its divisors is an integer number (1171602432).
Almost surely, 2214301816640 is an apocalyptic number.
214301816640 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 214301816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393658417152).
214301816640 is an abundant number, since it is smaller than the sum of its proper divisors (573015017664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214301816640 is a wasteful number, since it uses less digits than its factorization.
214301816640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 577 (or 555 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The spelling of 214301816640 in words is "two hundred fourteen billion, three hundred one million, eight hundred sixteen thousand, six hundred forty".
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