Base | Representation |
---|---|
bin | 10110110010100010… |
… | …00101100000000000 |
3 | 1011120200102221000000 |
4 | 23121101011200000 |
5 | 200024134210230 |
6 | 5342024000000 |
7 | 612124242246 |
oct | 133121054000 |
9 | 34520387000 |
10 | 12235069440 |
11 | 5209417840 |
12 | 2455600000 |
13 | 11cca7a379 |
14 | 840d2c796 |
15 | 4b9205b60 |
hex | 2d9445800 |
12235069440 has 672 divisors, whose sum is σ = 48339018000. Its totient is φ = 2946170880.
The previous prime is 12235069423. The next prime is 12235069471. The reversal of 12235069440 is 4496053221.
It is a happy number.
12235069440 is a `hidden beast` number, since 1 + 2 + 23 + 506 + 94 + 40 = 666.
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 = 12235069395 and 12235069404.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 82114486 + ... + 82114634.
Almost surely, 212235069440 is an apocalyptic number.
12235069440 is a gapful number since it is divisible by the number (10) 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 12235069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24169509000).
12235069440 is an abundant number, since it is smaller than the sum of its proper divisors (36103948560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12235069440 is an equidigital number, since it uses as much as digits as its factorization.
12235069440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 205 (or 170 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The spelling of 12235069440 in words is "twelve billion, two hundred thirty-five million, sixty-nine thousand, four hundred forty".
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