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2355540041 is a prime number
BaseRepresentation
bin1000110001100110…
…1011000001001001
320002011100211110202
42030121223001021
514311004240131
61025423221545
7112241521451
oct21431530111
96064324422
102355540041
11aa9706108
12558a478b5
132b702009a
14184ba8d61
15dbbe2bcb
hex8c66b049

2355540041 has 2 divisors, whose sum is σ = 2355540042. Its totient is φ = 2355540040.

The previous prime is 2355540023. The next prime is 2355540073. The reversal of 2355540041 is 1400455532.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1295712016 + 1059828025 = 35996^2 + 32555^2 .

It is a cyclic number.

It is not a de Polignac number, because 2355540041 - 214 = 2355523657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2355539986 and 2355540013.

It is not a weakly prime, because it can be changed into another prime (2355540001) 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 as a sum of consecutive naturals, namely, 1177770020 + 1177770021.

It is an arithmetic number, because the mean of its divisors is an integer number (1177770021).

Almost surely, 22355540041 is an apocalyptic number.

It is an amenable number.

2355540041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2355540041 is an equidigital number, since it uses as much as digits as its factorization.

2355540041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 2355540041 is about 48533.9060966661. The cubic root of 2355540041 is about 1330.5468271707.

Adding to 2355540041 its reverse (1400455532), we get a palindrome (3755995573).

The spelling of 2355540041 in words is "two billion, three hundred fifty-five million, five hundred forty thousand, forty-one".