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44414129609 is a prime number
BaseRepresentation
bin101001010111010010…
…011101010111001001
311020122022000112222022
4221113102131113021
51211430004121414
632223100534225
73131423605223
oct512722352711
9136568015868
1044414129609
1117921688a43
128736251375
13425a721985
142214923413
15124e2b218e
hexa5749d5c9

44414129609 has 2 divisors, whose sum is σ = 44414129610. Its totient is φ = 44414129608.

The previous prime is 44414129587. The next prime is 44414129621. The reversal of 44414129609 is 90692141444.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38417176009 + 5996953600 = 196003^2 + 77440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-44414129609 is a prime.

It is a super-2 number, since 2×444141296092 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44414129609.

It is not a weakly prime, because it can be changed into another prime (44414120609) 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, 22207064804 + 22207064805.

It is an arithmetic number, because the mean of its divisors is an integer number (22207064805).

Almost surely, 244414129609 is an apocalyptic number.

It is an amenable number.

44414129609 is a deficient number, since it is larger than the sum of its proper divisors (1).

44414129609 is an equidigital number, since it uses as much as digits as its factorization.

44414129609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 44414129609 in words is "forty-four billion, four hundred fourteen million, one hundred twenty-nine thousand, six hundred nine".