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44120414211337 is a prime number
BaseRepresentation
bin10100000100000100101011…
…00111011100110100001001
312210012212111112012102212201
422002002111213130310021
521240332102014230322
6233500345524440201
712202410665003362
oct1202022547346411
9183185445172781
1044120414211337
11130703a9672982
124b469b9549061
131b806ca326509
14ac7621b84b69
15517a171ebd27
hex2820959dcd09

44120414211337 has 2 divisors, whose sum is σ = 44120414211338. Its totient is φ = 44120414211336.

The previous prime is 44120414211329. The next prime is 44120414211353. The reversal of 44120414211337 is 73311241402144.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32675616955081 + 11444797256256 = 5716259^2 + 3383016^2 .

It is a cyclic number.

It is not a de Polignac number, because 44120414211337 - 23 = 44120414211329 is a prime.

It is a super-2 number, since 2×441204142113372 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44120414211296 and 44120414211305.

It is not a weakly prime, because it can be changed into another prime (44120414214337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22060207105668 + 22060207105669.

It is an arithmetic number, because the mean of its divisors is an integer number (22060207105669).

Almost surely, 244120414211337 is an apocalyptic number.

It is an amenable number.

44120414211337 is a deficient number, since it is larger than the sum of its proper divisors (1).

44120414211337 is an equidigital number, since it uses as much as digits as its factorization.

44120414211337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 44120414211337 in words is "forty-four trillion, one hundred twenty billion, four hundred fourteen million, two hundred eleven thousand, three hundred thirty-seven".