Base | Representation |
---|---|
bin | 110000110001001011111111… |
… | …111101001110000110000000 |
3 | 1001010102200210222112011012000 |
4 | 300301023333331032012000 |
5 | 211103121041443104430 |
6 | 2040101402324304000 |
7 | 63115062136563060 |
oct | 6061137775160600 |
9 | 1033380728464160 |
10 | 214486371066240 |
11 | 62384182900809 |
12 | 20080a8b842000 |
13 | 928ac938a2740 |
14 | 3ad72a51d13a0 |
15 | 19be439337e60 |
hex | c312fff4e180 |
214486371066240 has 2048 divisors, whose sum is σ = 958371460300800. Its totient is φ = 44127301533696.
The previous prime is 214486371066169. The next prime is 214486371066241. The reversal of 214486371066240 is 42660173684412.
214486371066240 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 8 + 6 + 3 + 7 + 1 + 0 + 6 + 624 + 0 = 666.
214486371066240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (214486371066241) by changing a digit.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20472111882 + ... + 20472122358.
It is an arithmetic number, because the mean of its divisors is an integer number (467954814600).
Almost surely, 2214486371066240 is an apocalyptic number.
214486371066240 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 214486371066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479185730150400).
214486371066240 is an abundant number, since it is smaller than the sum of its proper divisors (743885089234560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214486371066240 is a wasteful number, since it uses less digits than its factorization.
214486371066240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10849 (or 10831 counting only the distinct ones).
The product of its (nonzero) digits is 9289728, while the sum is 54.
The spelling of 214486371066240 in words is "two hundred fourteen trillion, four hundred eighty-six billion, three hundred seventy-one million, sixty-six thousand, two hundred forty".
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