Base | Representation |
---|---|
bin | 10101011101110110… |
… | …000010011001000100 |
3 | 2012111100021220100100 |
4 | 111131312002121010 |
5 | 334201104030030 |
6 | 14331054044100 |
7 | 1444116450132 |
oct | 253566023104 |
9 | 65440256310 |
10 | 23049283140 |
11 | 98587a0634 |
12 | 45731a9630 |
13 | 22343561a0 |
14 | 118927a752 |
15 | 8ed7e7360 |
hex | 55dd82644 |
23049283140 has 144 divisors (see below), whose sum is σ = 75398122800. Its totient is φ = 5665849344.
The previous prime is 23049283133. The next prime is 23049283151. The reversal of 23049283140 is 4138294032.
23049283140 is a `hidden beast` number, since 23 + 0 + 492 + 8 + 3 + 140 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 3759406596 + 19289876544 = 61314^2 + 138888^2 .
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 = 23049283095 and 23049283104.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1793056 + ... + 1805864.
It is an arithmetic number, because the mean of its divisors is an integer number (523598075).
Almost surely, 223049283140 is an apocalyptic number.
23049283140 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 23049283140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37699061400).
23049283140 is an abundant number, since it is smaller than the sum of its proper divisors (52348839660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23049283140 is a wasteful number, since it uses less digits than its factorization.
23049283140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13606 (or 13601 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The spelling of 23049283140 in words is "twenty-three billion, forty-nine million, two hundred eighty-three thousand, one hundred forty".
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