Base | Representation |
---|---|
bin | 111101000010000011… |
… | …0001101100111101000 |
3 | 110112022011101001020122 |
4 | 1322010012031213220 |
5 | 4121410200140130 |
6 | 140113250542412 |
7 | 12316630105310 |
oct | 1720406154750 |
9 | 415264331218 |
10 | 131065240040 |
11 | 50647a027a9 |
12 | 21499597a08 |
13 | c4897a4a97 |
14 | 64b4b5a440 |
15 | 36216302e5 |
hex | 1e8418d9e8 |
131065240040 has 128 divisors (see below), whose sum is σ = 338887411200. Its totient is φ = 44689044480.
The previous prime is 131065240003. The next prime is 131065240043. The reversal of 131065240040 is 40042560131.
It is a junction number, because it is equal to n+sod(n) for n = 131065239991 and 131065240009.
It is not an unprimeable number, because it can be changed into a prime (131065240043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44322242 + ... + 44325198.
It is an arithmetic number, because the mean of its divisors is an integer number (2647557900).
Almost surely, 2131065240040 is an apocalyptic number.
131065240040 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 131065240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169443705600).
131065240040 is an abundant number, since it is smaller than the sum of its proper divisors (207822171160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131065240040 is a wasteful number, since it uses less digits than its factorization.
131065240040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3795 (or 3791 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 26.
The spelling of 131065240040 in words is "one hundred thirty-one billion, sixty-five million, two hundred forty thousand, forty".
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