Base | Representation |
---|---|
bin | 10000111010111001… |
… | …10000101110000000 |
3 | 212110002011200210020 |
4 | 20131130300232000 |
5 | 122101001412230 |
6 | 4101221533440 |
7 | 441052561125 |
oct | 103534605600 |
9 | 25402150706 |
10 | 9084013440 |
11 | 3941763827 |
12 | 1916274280 |
13 | b19cb73a8 |
14 | 62264474c |
15 | 382774810 |
hex | 21d730b80 |
9084013440 has 128 divisors (see below), whose sum is σ = 29501949600. Its totient is φ = 2376671232.
The previous prime is 9084013439. The next prime is 9084013441. The reversal of 9084013440 is 443104809.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (9084013439) and next prime (9084013441).
It is a tau number, because it is divible by the number of its divisors (128).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9084013441) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57126 + ... + 146394.
Almost surely, 29084013440 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9084013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14750974800).
9084013440 is an abundant number, since it is smaller than the sum of its proper divisors (20417936160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9084013440 is a wasteful number, since it uses less digits than its factorization.
9084013440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 89344 (or 89332 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 33.
The square root of 9084013440 is about 95310.0909662770. The cubic root of 9084013440 is about 2086.5361945639.
It can be divided in two parts, 9084013 and 440, that added together give a triangular number (9084453 = T4262).
The spelling of 9084013440 in words is "nine billion, eighty-four million, thirteen thousand, four hundred forty".
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