Search a number
-
+
4278541340081 is a prime number
BaseRepresentation
bin111110010000101100111…
…011111100110110110001
3120011000122220100212012002
4332100230323330312301
51030044423040340311
613033311301343345
7621054146222651
oct76205473746661
916130586325162
104278541340081
1113aa579055088
12591262a07b55
13250606ca2c28
1410b122578361
157646481c93b
hex3e42cefcdb1

4278541340081 has 2 divisors, whose sum is σ = 4278541340082. Its totient is φ = 4278541340080.

The previous prime is 4278541340077. The next prime is 4278541340089. The reversal of 4278541340081 is 1800431458724.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4033333155856 + 245208184225 = 2008316^2 + 495185^2 .

It is a cyclic number.

It is not a de Polignac number, because 4278541340081 - 22 = 4278541340077 is a prime.

It is a super-3 number, since 3×42785413400813 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (4278541340089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2139270670040 + 2139270670041.

It is an arithmetic number, because the mean of its divisors is an integer number (2139270670041).

Almost surely, 24278541340081 is an apocalyptic number.

It is an amenable number.

4278541340081 is a deficient number, since it is larger than the sum of its proper divisors (1).

4278541340081 is an equidigital number, since it uses as much as digits as its factorization.

4278541340081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 860160, while the sum is 47.

The spelling of 4278541340081 in words is "four trillion, two hundred seventy-eight billion, five hundred forty-one million, three hundred forty thousand, eighty-one".