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44412111131441 is a prime number
BaseRepresentation
bin10100001100100100000000…
…00110111001001100110001
312211020202102101102022021012
422012102000012321030301
521310122000422201231
6234242350414040305
712232445341631024
oct1206220006711461
9184222371368235
1044412111131441
1113173085a04379
124b934461a9095
131ba2075ba63a1
14ad77b42871bb
155203da993e2b
hex2864801b9331

44412111131441 has 2 divisors, whose sum is σ = 44412111131442. Its totient is φ = 44412111131440.

The previous prime is 44412111131393. The next prime is 44412111131467. The reversal of 44412111131441 is 14413111121444.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36544394678416 + 7867716453025 = 6045196^2 + 2804945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-44412111131441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 44412111131398 and 44412111131407.

It is not a weakly prime, because it can be changed into another prime (44412111101441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22206055565720 + 22206055565721.

It is an arithmetic number, because the mean of its divisors is an integer number (22206055565721).

Almost surely, 244412111131441 is an apocalyptic number.

It is an amenable number.

44412111131441 is a deficient number, since it is larger than the sum of its proper divisors (1).

44412111131441 is an equidigital number, since it uses as much as digits as its factorization.

44412111131441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6144, while the sum is 32.

Adding to 44412111131441 its reverse (14413111121444), we get a palindrome (58825222252885).

The spelling of 44412111131441 in words is "forty-four trillion, four hundred twelve billion, one hundred eleven million, one hundred thirty-one thousand, four hundred forty-one".