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344430121041 = 3238270013449
BaseRepresentation
bin1010000001100011010…
…00101001000001010001
31012221000221001000211200
411000301220221001101
521120343102333131
6422121244501413
733612204503046
oct5006150510121
91187027030750
10344430121041
111230879078a6
1256904b4a869
132663095c266
1412955c291cd
158e5d07e2e6
hex5031a29051

344430121041 has 6 divisors (see below), whose sum is σ = 497510174850. Its totient is φ = 229620080688.

The previous prime is 344430120989. The next prime is 344430121043. The reversal of 344430121041 is 140121034443.

344430121041 is a `hidden beast` number, since 3 + 4 + 443 + 0 + 1 + 210 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 183231083025 + 161199038016 = 428055^2 + 401496^2 .

It is not a de Polignac number, because 344430121041 - 26 = 344430120977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344430120996 and 344430121014.

It is not an unprimeable number, because it can be changed into a prime (344430121043) 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 in 5 ways as a sum of consecutive naturals, for example, 19135006716 + ... + 19135006733.

It is an arithmetic number, because the mean of its divisors is an integer number (82918362475).

Almost surely, 2344430121041 is an apocalyptic number.

It is an amenable number.

344430121041 is a deficient number, since it is larger than the sum of its proper divisors (153080053809).

344430121041 is a wasteful number, since it uses less digits than its factorization.

344430121041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38270013455 (or 38270013452 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 344430121041 its reverse (140121034443), we get a palindrome (484551155484).

The spelling of 344430121041 in words is "three hundred forty-four billion, four hundred thirty million, one hundred twenty-one thousand, forty-one".

Divisors: 1 3 9 38270013449 114810040347 344430121041