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442051254224249 is a prime number
BaseRepresentation
bin110010010000010110001001…
…1111110110000010101111001
32010222011200112221220100021012
41210200230103332300111321
5430420031432040133444
64204055313120123305
7162053102112145355
oct14440542376602571
92128150487810235
10442051254224249
1111893a97a83686a
12416b45b2766535
1315c8733cc17b07
147b2357570a465
153618b7a869b9e
hex1920b13fb0579

442051254224249 has 2 divisors, whose sum is σ = 442051254224250. Its totient is φ = 442051254224248.

The previous prime is 442051254224143. The next prime is 442051254224299. The reversal of 442051254224249 is 942422452150244.

It is an a-pointer prime, because the next prime (442051254224299) can be obtained adding 442051254224249 to its sum of digits (50).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 440146972902400 + 1904281321849 = 20979680^2 + 1379957^2 .

It is a cyclic number.

It is not a de Polignac number, because 442051254224249 - 212 = 442051254220153 is a prime.

It is a super-2 number, since 2×4420512542242492 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442051254224197 and 442051254224206.

It is not a weakly prime, because it can be changed into another prime (442051254224299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221025627112124 + 221025627112125.

It is an arithmetic number, because the mean of its divisors is an integer number (221025627112125).

Almost surely, 2442051254224249 is an apocalyptic number.

It is an amenable number.

442051254224249 is a deficient number, since it is larger than the sum of its proper divisors (1).

442051254224249 is an equidigital number, since it uses as much as digits as its factorization.

442051254224249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7372800, while the sum is 50.

The spelling of 442051254224249 in words is "four hundred forty-two trillion, fifty-one billion, two hundred fifty-four million, two hundred twenty-four thousand, two hundred forty-nine".