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3005344220041 = 109711321241993
BaseRepresentation
bin101011101110111100011…
…110011000001110001001
3101122022022121100210010201
4223232330132120032021
5343214421110020131
610220345220412201
7430062142243402
oct53567436301611
911568277323121
103005344220041
11a59617510359
12406557847061
1318a530a9cb97
14a566099c9a9
15532989e1761
hex2bbbc798389

3005344220041 has 8 divisors (see below), whose sum is σ = 3008361962664. Its totient is φ = 3002326986240.

The previous prime is 3005344220003. The next prime is 3005344220083. The reversal of 3005344220041 is 1400224435003.

It is a happy number.

3005344220041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 296620747641 + 2708723472400 = 544629^2 + 1645820^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3005344220041 - 229 = 3004807349129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3005344219991 and 3005344220009.

It is not an unprimeable number, because it can be changed into a prime (3005344220341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12298141 + ... + 12540133.

It is an arithmetic number, because the mean of its divisors is an integer number (376045245333).

Almost surely, 23005344220041 is an apocalyptic number.

It is an amenable number.

3005344220041 is a deficient number, since it is larger than the sum of its proper divisors (3017742623).

3005344220041 is a wasteful number, since it uses less digits than its factorization.

3005344220041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254411.

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 3005344220041 its reverse (1400224435003), we get a palindrome (4405568655044).

The spelling of 3005344220041 in words is "three trillion, five billion, three hundred forty-four million, two hundred twenty thousand, forty-one".

Divisors: 1 1097 11321 241993 12419137 265466321 2739602753 3005344220041