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4144409 is a prime number
BaseRepresentation
bin1111110011110100011001
321210120001122
433303310121
52030110114
6224455025
750140553
oct17636431
97716048
104144409
112380835
12147a475
13b21519
1479c4d3
1556ce8e
hex3f3d19

4144409 has 2 divisors, whose sum is σ = 4144410. Its totient is φ = 4144408.

The previous prime is 4144373. The next prime is 4144423. The reversal of 4144409 is 9044414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4080400 + 64009 = 2020^2 + 253^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4144409 is a prime.

It is a super-3 number, since 3×41444093 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4141409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2072204 + 2072205.

It is an arithmetic number, because the mean of its divisors is an integer number (2072205).

Almost surely, 24144409 is an apocalyptic number.

It is an amenable number.

4144409 is a deficient number, since it is larger than the sum of its proper divisors (1).

4144409 is an equidigital number, since it uses as much as digits as its factorization.

4144409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 4144409 is about 2035.7821592695. The cubic root of 4144409 is about 160.6278585087.

The spelling of 4144409 in words is "four million, one hundred forty-four thousand, four hundred nine".