| Base | Representation |
|---|---|
| bin | 1000011010100011001… |
| … | …11111011011001100000 |
| 3 | 1000122022010022010022000 |
| 4 | 10031101213323121200 |
| 5 | 14214120322331430 |
| 6 | 340454151044000 |
| 7 | 26613652256400 |
| oct | 4152147733140 |
| 9 | 1018263263260 |
| 10 | 289132230240 |
| 11 | 101690673aa7 |
| 12 | 48051970600 |
| 13 | 2135a420c09 |
| 14 | ddcba52800 |
| 15 | 77c353de60 |
| hex | 43519fb660 |
289132230240 has 576 divisors, whose sum is σ = 1184375001600. Its totient is φ = 65683602432.
The previous prime is 289132230229. The next prime is 289132230251. The reversal of 289132230240 is 42032231982.
289132230240 is a `hidden beast` number, since 2 + 8 + 91 + 322 + 3 + 0 + 240 = 666.
It is an interprime number because it is at equal distance from previous prime (289132230229) and next prime (289132230251).
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 = 289132230195 and 289132230204.
It is a congruent number.
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 95 ways as a sum of consecutive naturals, for example, 35346471 + ... + 35354649.
It is an arithmetic number, because the mean of its divisors is an integer number (2056206600).
Almost surely, 2289132230240 is an apocalyptic number.
289132230240 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 289132230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592187500800).
289132230240 is an abundant number, since it is smaller than the sum of its proper divisors (895242771360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
289132230240 is a wasteful number, since it uses less digits than its factorization.
289132230240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8384 (or 8363 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The spelling of 289132230240 in words is "two hundred eighty-nine billion, one hundred thirty-two million, two hundred thirty thousand, two hundred forty".
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