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444408400781 is a prime number
BaseRepresentation
bin1100111011110001100…
…11100000101110001101
31120111002120210212111022
412131320303200232031
524240122022311111
6540054114203525
744051566036142
oct6357063405615
91514076725438
10444408400781
11161521a58174
12721675835a5
1332ba4b05577
141771c0343c9
15b8604282db
hex6778ce0b8d

444408400781 has 2 divisors, whose sum is σ = 444408400782. Its totient is φ = 444408400780.

The previous prime is 444408400747. The next prime is 444408400817. The reversal of 444408400781 is 187004804444.

Together with next prime (444408400817) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 296252692681 + 148155708100 = 544291^2 + 384910^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444408400781 is a prime.

It is a super-2 number, since 2×4444084007812 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444408400481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222204200390 + 222204200391.

It is an arithmetic number, because the mean of its divisors is an integer number (222204200391).

Almost surely, 2444408400781 is an apocalyptic number.

It is an amenable number.

444408400781 is a deficient number, since it is larger than the sum of its proper divisors (1).

444408400781 is an equidigital number, since it uses as much as digits as its factorization.

444408400781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 458752, while the sum is 44.

The spelling of 444408400781 in words is "four hundred forty-four billion, four hundred eight million, four hundred thousand, seven hundred eighty-one".