Base | Representation |
---|---|
bin | 100011011001010000101… |
… | …000111100100000110000 |
3 | 22121112012110211210110011 |
4 | 203121100220330200300 |
5 | 304322324411303212 |
6 | 5101215112344304 |
7 | 340504525164364 |
oct | 43312050744060 |
9 | 8545173753404 |
10 | 2432304400432 |
11 | 858597473385 |
12 | 3334919a5094 |
13 | 1484997c084a |
14 | 85a1d1532a4 |
15 | 4340a9904a7 |
hex | 23650a3c830 |
2432304400432 has 80 divisors (see below), whose sum is σ = 4973025705984. Its totient is φ = 1150741152000.
The previous prime is 2432304400423. The next prime is 2432304400433. The reversal of 2432304400432 is 2340044032342.
It is a happy number.
It is a super-2 number, since 2×24323044004322 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (31).
It is a junction number, because it is equal to n+sod(n) for n = 2432304400394 and 2432304400403.
It is not an unprimeable number, because it can be changed into a prime (2432304400433) 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, 23750457 + ... + 23852647.
Almost surely, 22432304400432 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 2432304400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486512852992).
2432304400432 is an abundant number, since it is smaller than the sum of its proper divisors (2540721305552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2432304400432 is a wasteful number, since it uses less digits than its factorization.
2432304400432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 103298 (or 103292 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 31.
Adding to 2432304400432 its reverse (2340044032342), we get a palindrome (4772348432774).
The spelling of 2432304400432 in words is "two trillion, four hundred thirty-two billion, three hundred four million, four hundred thousand, four hundred thirty-two".
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