Base | Representation |
---|---|
bin | 1111110011011001001… |
… | …1011001011100000000 |
3 | 221221202212211220012000 |
4 | 3330312103121130000 |
5 | 13422004430303430 |
6 | 324420030304000 |
7 | 25420605606000 |
oct | 3746623313400 |
9 | 857685756160 |
10 | 271493994240 |
11 | a515a311257 |
12 | 4474a958000 |
13 | 1c7a9135291 |
14 | d1d72b6000 |
15 | 70dece4e60 |
hex | 3f364d9700 |
271493994240 has 1152 divisors, whose sum is σ = 1155759360000. Its totient is φ = 60281044992.
The previous prime is 271493994209. The next prime is 271493994241. The reversal of 271493994240 is 42499394172.
271493994240 is a `hidden beast` number, since 2 + 7 + 1 + 4 + 9 + 399 + 4 + 240 = 666.
271493994240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1152).
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 (271493994241) by changing a digit.
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 127 ways as a sum of consecutive naturals, for example, 438600651 + ... + 438601269.
Almost surely, 2271493994240 is an apocalyptic number.
271493994240 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 271493994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577879680000).
271493994240 is an abundant number, since it is smaller than the sum of its proper divisors (884265365760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
271493994240 is an equidigital number, since it uses as much as digits as its factorization.
271493994240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 707 (or 673 counting only the distinct ones).
The product of its (nonzero) digits is 3919104, while the sum is 54.
The spelling of 271493994240 in words is "two hundred seventy-one billion, four hundred ninety-three million, nine hundred ninety-four thousand, two hundred forty".
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