Base | Representation |
---|---|
bin | 10101110010110011… |
… | …110001010100000000 |
3 | 2020101212010111111002 |
4 | 111302303301110000 |
5 | 340411124313212 |
6 | 14430020511132 |
7 | 1455620210132 |
oct | 256263612400 |
9 | 66355114432 |
10 | 23401010432 |
11 | 9a19295548 |
12 | 4650b4b4a8 |
13 | 228c195647 |
14 | 11bdc77052 |
15 | 91e622ac2 |
hex | 572cf1500 |
23401010432 has 144 divisors (see below), whose sum is σ = 50670923520. Its totient is φ = 10749542400.
The previous prime is 23401010431. The next prime is 23401010449.
23401010432 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×234010104323 (a number of 32 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23401010431) 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, 54043688 + ... + 54044120.
Almost surely, 223401010432 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 23401010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25335461760).
23401010432 is an abundant number, since it is smaller than the sum of its proper divisors (27269913088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23401010432 is a wasteful number, since it uses less digits than its factorization.
23401010432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 780 (or 766 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
It can be divided in two parts, 234010 and 10432, that added together give a palindrome (244442).
The spelling of 23401010432 in words is "twenty-three billion, four hundred one million, ten thousand, four hundred thirty-two".
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