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444105501457 is a prime number
BaseRepresentation
bin1100111011001101100…
…00000010101100010001
31120110022110211222201211
412131212300002230101
524234012002021312
6540004054100121
744041230322552
oct6354660025421
91513273758654
10444105501457
11161386a83452
12720a204a641
1332b57130bb7
14176cdb08329
15b843a453a7
hex6766c02b11

444105501457 has 2 divisors, whose sum is σ = 444105501458. Its totient is φ = 444105501456.

The previous prime is 444105501409. The next prime is 444105501557. The reversal of 444105501457 is 754105501444.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 333990370561 + 110115130896 = 577919^2 + 331836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444105501457 is a prime.

It is not a weakly prime, because it can be changed into another prime (444105501157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222052750728 + 222052750729.

It is an arithmetic number, because the mean of its divisors is an integer number (222052750729).

Almost surely, 2444105501457 is an apocalyptic number.

It is an amenable number.

444105501457 is a deficient number, since it is larger than the sum of its proper divisors (1).

444105501457 is an equidigital number, since it uses as much as digits as its factorization.

444105501457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224000, while the sum is 40.

The spelling of 444105501457 in words is "four hundred forty-four billion, one hundred five million, five hundred one thousand, four hundred fifty-seven".