Base | Representation |
---|---|
bin | 1000010000010000101… |
… | …0001000100100000000 |
3 | 111120000112122121222201 |
4 | 2010010022020210000 |
5 | 4310403220424034 |
6 | 145051013042544 |
7 | 13150012305331 |
oct | 2040412104400 |
9 | 446015577881 |
10 | 141803686144 |
11 | 5515853624a |
12 | 23595926454 |
13 | 104ab472ac3 |
14 | 6c12dc4288 |
15 | 3a4e257014 |
hex | 2104288900 |
141803686144 has 72 divisors (see below), whose sum is σ = 290235347640. Its totient is φ = 69119950848.
The previous prime is 141803686133. The next prime is 141803686169. The reversal of 141803686144 is 441686308141.
It can be written as a sum of positive squares in 4 ways, for example, as 1688223744 + 140115462400 = 41088^2 + 374320^2 .
It is a junction number, because it is equal to n+sod(n) for n = 141803686094 and 141803686103.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2096892 + ... + 2163460.
It is an arithmetic number, because the mean of its divisors is an integer number (4031046495).
Almost surely, 2141803686144 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 141803686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145117673820).
141803686144 is an abundant number, since it is smaller than the sum of its proper divisors (148431661496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141803686144 is an equidigital number, since it uses as much as digits as its factorization.
141803686144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 66795 (or 66781 counting only the distinct ones).
The product of its (nonzero) digits is 442368, while the sum is 46.
The spelling of 141803686144 in words is "one hundred forty-one billion, eight hundred three million, six hundred eighty-six thousand, one hundred forty-four".
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