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444213312397 is a prime number
BaseRepresentation
bin1100111011011010010…
…11010011101110001101
31120110120222201100112121
412131231023103232031
524234222101444042
6540022504532541
744044006566301
oct6355513235615
91513528640477
10444213312397
1116143191a3a8
1272112181151
1332b7357aa5a
141770016dd01
15b84d23e367
hex676d2d3b8d

444213312397 has 2 divisors, whose sum is σ = 444213312398. Its totient is φ = 444213312396.

The previous prime is 444213312391. The next prime is 444213312401. The reversal of 444213312397 is 793213312444.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 349311732676 + 94901579721 = 591026^2 + 308061^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444213312397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444213312391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222106656198 + 222106656199.

It is an arithmetic number, because the mean of its divisors is an integer number (222106656199).

Almost surely, 2444213312397 is an apocalyptic number.

It is an amenable number.

444213312397 is a deficient number, since it is larger than the sum of its proper divisors (1).

444213312397 is an equidigital number, since it uses as much as digits as its factorization.

444213312397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 435456, while the sum is 43.

The spelling of 444213312397 in words is "four hundred forty-four billion, two hundred thirteen million, three hundred twelve thousand, three hundred ninety-seven".