Base | Representation |
---|---|
bin | 1000100101100000011010… |
… | …0100110110100010000001 |
3 | 1020102111110002020212111011 |
4 | 2021120012210312202001 |
5 | 2214133014300043244 |
6 | 32024514313120521 |
7 | 1663023053512525 |
oct | 211300644664201 |
9 | 36374402225434 |
10 | 9440448440449 |
11 | 300a74303a504 |
12 | 10857570b9141 |
13 | 5362cc452460 |
14 | 248cc4c29d85 |
15 | 11587b13d434 |
hex | 89606936881 |
9440448440449 has 32 divisors (see below), whose sum is σ = 10991788728480. Its totient is φ = 8030257201152.
The previous prime is 9440448440431. The next prime is 9440448440453.
9440448440449 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 16 ways, for example, as 1746520833600 + 7693927606849 = 1321560^2 + 2773793^2 .
It is not a de Polignac number, because 9440448440449 - 213 = 9440448432257 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 9440448440393 and 9440448440402.
It is not an unprimeable number, because it can be changed into a prime (9440448440749) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74587 + ... + 4345855.
It is an arithmetic number, because the mean of its divisors is an integer number (343493397765).
Almost surely, 29440448440449 is an apocalyptic number.
It is an amenable number.
9440448440449 is a deficient number, since it is larger than the sum of its proper divisors (1551340288031).
9440448440449 is a wasteful number, since it uses less digits than its factorization.
9440448440449 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4271509.
The product of its (nonzero) digits is 42467328, while the sum is 58.
The spelling of 9440448440449 in words is "nine trillion, four hundred forty billion, four hundred forty-eight million, four hundred forty thousand, four hundred forty-nine".
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