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444322221403993 is a prime number
BaseRepresentation
bin110010100000110111101010…
…0001011000010111101011001
32011021012210022120022010210021
41211001233110023002331121
5431214233402134411433
64212554451032150441
7162406135565525212
oct14501572413027531
92137183276263707
10444322221403993
11119635aa5587319
1241a00758b38421
13160c05374012aa
147ba144b4da409
153657c9227922d
hex1941bd42c2f59

444322221403993 has 2 divisors, whose sum is σ = 444322221403994. Its totient is φ = 444322221403992.

The previous prime is 444322221403943. The next prime is 444322221404101. The reversal of 444322221403993 is 399304122223444.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 421486935841609 + 22835285562384 = 20530147^2 + 4778628^2 .

It is a cyclic number.

It is not a de Polignac number, because 444322221403993 - 233 = 444313631469401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 444322221403993.

It is not a weakly prime, because it can be changed into another prime (444322221403943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222161110701996 + 222161110701997.

It is an arithmetic number, because the mean of its divisors is an integer number (222161110701997).

Almost surely, 2444322221403993 is an apocalyptic number.

It is an amenable number.

444322221403993 is a deficient number, since it is larger than the sum of its proper divisors (1).

444322221403993 is an equidigital number, since it uses as much as digits as its factorization.

444322221403993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8957952, while the sum is 52.

The spelling of 444322221403993 in words is "four hundred forty-four trillion, three hundred twenty-two billion, two hundred twenty-one million, four hundred three thousand, nine hundred ninety-three".