| Base | Representation |
|---|---|
| bin | 111101100001010100… |
| … | …0001110001000000000 |
| 3 | 110122000021102222010121 |
| 4 | 1323002220032020000 |
| 5 | 4131032232424100 |
| 6 | 140405324510024 |
| 7 | 12354626244625 |
| oct | 1730250161000 |
| 9 | 418007388117 |
| 10 | 132114342400 |
| 11 | 51036113947 |
| 12 | 217309ab314 |
| 13 | c5c5c44901 |
| 14 | 657420a34c |
| 15 | 36837b051a |
| hex | 1ec2a0e200 |
132114342400 has 120 divisors (see below), whose sum is σ = 327527424180. Its totient is φ = 52812840960.
The previous prime is 132114342361. The next prime is 132114342401. The reversal of 132114342400 is 4243411231.
132114342400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 95941345536 + 36172996864 = 309744^2 + 190192^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (132114342401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40561572 + ... + 40564828.
Almost surely, 2132114342400 is an apocalyptic number.
132114342400 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 132114342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163763712090).
132114342400 is an abundant number, since it is smaller than the sum of its proper divisors (195413081780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132114342400 is an equidigital number, since it uses as much as digits as its factorization.
132114342400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6454 (or 6433 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 25.
Adding to 132114342400 its reverse (4243411231), we get a palindrome (136357753631).
The spelling of 132114342400 in words is "one hundred thirty-two billion, one hundred fourteen million, three hundred forty-two thousand, four hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.067 sec. • engine limits •