| Base | Representation |
|---|---|
| bin | 110000101010001011000010… |
| … | …011010100101110100010000 |
| 3 | 1001001201121111202222111112200 |
| 4 | 300222023002122211310100 |
| 5 | 211022221302333203130 |
| 6 | 2035052115204323200 |
| 7 | 63035205052304103 |
| oct | 6052130232456420 |
| 9 | 1031647452874480 |
| 10 | 214004302241040 |
| 11 | 62208795597343 |
| 12 | 200035739a3500 |
| 13 | 925469963838c |
| 14 | 3abbc1360073a |
| 15 | 19b1b22a15760 |
| hex | c2a2c26a5d10 |
214004302241040 has 240 divisors, whose sum is σ = 761354886240000. Its totient is φ = 53684008685568.
The previous prime is 214004302241027. The next prime is 214004302241083. The reversal of 214004302241040 is 40142203400412.
214004302241040 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 0 + 430 + 224 + 1 + 0 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a junction number, because it is equal to n+sod(n) for n = 214004302240995 and 214004302241013.
It is an unprimeable number.
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, 20094571 + ... + 28840949.
It is an arithmetic number, because the mean of its divisors is an integer number (3172312026000).
Almost surely, 2214004302241040 is an apocalyptic number.
214004302241040 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 214004302241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380677443120000).
214004302241040 is an abundant number, since it is smaller than the sum of its proper divisors (547350583998960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214004302241040 is a wasteful number, since it uses less digits than its factorization.
214004302241040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8748414 (or 8748405 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
Adding to 214004302241040 its reverse (40142203400412), we get a palindrome (254146505641452).
The spelling of 214004302241040 in words is "two hundred fourteen trillion, four billion, three hundred two million, two hundred forty-one thousand, forty".
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