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444232420993 is a prime number
BaseRepresentation
bin1100111011011100101…
…00001100111010000001
31120110122022200011121101
412131232110030322001
524234241444432433
6540024430254401
744044331163424
oct6355624147201
91513568604541
10444232420993
11161441690a29
1272118657401
1332b7750b50a
14177029059bb
15b84ec6607d
hex676e50ce81

444232420993 has 2 divisors, whose sum is σ = 444232420994. Its totient is φ = 444232420992.

The previous prime is 444232420979. The next prime is 444232421021. The reversal of 444232420993 is 399024232444.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 356018668929 + 88213752064 = 596673^2 + 297008^2 .

It is a cyclic number.

It is not a de Polignac number, because 444232420993 - 213 = 444232412801 is a prime.

It is a super-2 number, since 2×4442324209932 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (444232420903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222116210496 + 222116210497.

It is an arithmetic number, because the mean of its divisors is an integer number (222116210497).

Almost surely, 2444232420993 is an apocalyptic number.

It is an amenable number.

444232420993 is a deficient number, since it is larger than the sum of its proper divisors (1).

444232420993 is an equidigital number, since it uses as much as digits as its factorization.

444232420993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1492992, while the sum is 46.

The spelling of 444232420993 in words is "four hundred forty-four billion, two hundred thirty-two million, four hundred twenty thousand, nine hundred ninety-three".