| Base | Representation |
|---|---|
| bin | 110000110000001110001111… |
| … | …011101001000000000000000 |
| 3 | 1001010012100122120211222201200 |
| 4 | 300300032033131020000000 |
| 5 | 211101024240112020130 |
| 6 | 2040011114300501200 |
| 7 | 63110223644251011 |
| oct | 6060161735100000 |
| 9 | 1033170576758650 |
| 10 | 214420059095040 |
| 11 | 62359044492327 |
| 12 | 20070063b4a800 |
| 13 | 9284956549b66 |
| 14 | 3ad3db4321008 |
| 15 | 19bc8578c6760 |
| hex | c3038f748000 |
214420059095040 has 1536 divisors, whose sum is σ = 811543162060800. Its totient is φ = 52171112448000.
The previous prime is 214420059095017. The next prime is 214420059095041. The reversal of 214420059095040 is 40590950024412.
214420059095040 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 2 + 0 + 0 + 590 + 9 + 50 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1536).
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
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 (214420059095041) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235367792185 + ... + 235367793095.
It is an arithmetic number, because the mean of its divisors is an integer number (528348412800).
Almost surely, 2214420059095040 is an apocalyptic number.
214420059095040 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 214420059095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405771581030400).
214420059095040 is an abundant number, since it is smaller than the sum of its proper divisors (597123102965760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214420059095040 is a wasteful number, since it uses less digits than its factorization.
214420059095040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1273 (or 1242 counting only the distinct ones).
The product of its (nonzero) digits is 518400, while the sum is 45.
The spelling of 214420059095040 in words is "two hundred fourteen trillion, four hundred twenty billion, fifty-nine million, ninety-five thousand, forty".
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