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444424414409 is a prime number
BaseRepresentation
bin1100111011110011100…
…00100110010011001001
31120111010200221110001122
412131321300212103021
524240140122230114
6540055445325025
744052152123123
oct6357160462311
91514120843048
10444424414409
1116152aaa5478
1272170a06775
1332ba82213a1
1417720202213
15b861a3ce8e
hex6779c264c9

444424414409 has 2 divisors, whose sum is σ = 444424414410. Its totient is φ = 444424414408.

The previous prime is 444424414373. The next prime is 444424414429. The reversal of 444424414409 is 904414424444.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 321313254025 + 123111160384 = 566845^2 + 350872^2 .

It is a cyclic number.

It is not a de Polignac number, because 444424414409 - 220 = 444423365833 is a prime.

It is a super-3 number, since 3×4444244144093 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444424414409.

It is not a weakly prime, because it can be changed into another prime (444424414429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222212207204 + 222212207205.

It is an arithmetic number, because the mean of its divisors is an integer number (222212207205).

Almost surely, 2444424414409 is an apocalyptic number.

It is an amenable number.

444424414409 is a deficient number, since it is larger than the sum of its proper divisors (1).

444424414409 is an equidigital number, since it uses as much as digits as its factorization.

444424414409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1179648, while the sum is 44.

The spelling of 444424414409 in words is "four hundred forty-four billion, four hundred twenty-four million, four hundred fourteen thousand, four hundred nine".