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9440448440449 = 1317731374271269
BaseRepresentation
bin1000100101100000011010…
…0100110110100010000001
31020102111110002020212111011
42021120012210312202001
52214133014300043244
632024514313120521
71663023053512525
oct211300644664201
936374402225434
109440448440449
11300a74303a504
1210857570b9141
135362cc452460
14248cc4c29d85
1511587b13d434
hex89606936881

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".

Divisors: 1 13 17 73 137 221 949 1241 1781 2329 10001 16133 30277 130013 170017 2210221 4271269 55526497 72611573 311802637 585163853 943950449 4053434281 5300644829 7607130089 9947785501 42716961269 68908382777 129321211513 555320496497 726188341573 9440448440449