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44129 is a prime number
BaseRepresentation
bin1010110001100001
32020112102
422301201
52403004
6540145
7242441
oct126141
966472
1044129
1130178
1221655
1317117
1412121
15d11e
hexac61

44129 has 2 divisors, whose sum is σ = 44130. Its totient is φ = 44128.

The previous prime is 44123. The next prime is 44131. The reversal of 44129 is 92144.

44129 is nontrivially palindromic in base 14.

44129 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 21025 = 152^2 + 145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-44129 is a prime.

It is a Sophie Germain prime.

Together with 44131, it forms a pair of twin primes.

It is a Chen prime.

44129 is an undulating number in base 14.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 44129.

It is not a weakly prime, because it can be changed into another prime (44123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22064 + 22065.

It is an arithmetic number, because the mean of its divisors is an integer number (22065).

244129 is an apocalyptic number.

It is an amenable number.

44129 is a deficient number, since it is larger than the sum of its proper divisors (1).

44129 is an equidigital number, since it uses as much as digits as its factorization.

44129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 20.

The square root of 44129 is about 210.0690362714. The cubic root of 44129 is about 35.3379508225.

The spelling of 44129 in words is "forty-four thousand, one hundred twenty-nine".