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2140417441 is a prime number
BaseRepresentation
bin111111110010100…
…0010110110100001
312112011120110202001
41333211002312201
513340421324231
6552220324001
7104020151041
oct17745026641
95464513661
102140417441
119a9234338
124b89a3601
1328159c6c6
141643ab721
15c7d9cb61
hex7f942da1

2140417441 has 2 divisors, whose sum is σ = 2140417442. Its totient is φ = 2140417440.

The previous prime is 2140417439. The next prime is 2140417463. The reversal of 2140417441 is 1447140412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2095808400 + 44609041 = 45780^2 + 6679^2 .

It is a cyclic number.

It is not a de Polignac number, because 2140417441 - 21 = 2140417439 is a prime.

Together with 2140417439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2140417481) 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, 1070208720 + 1070208721.

It is an arithmetic number, because the mean of its divisors is an integer number (1070208721).

Almost surely, 22140417441 is an apocalyptic number.

It is an amenable number.

2140417441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2140417441 is an equidigital number, since it uses as much as digits as its factorization.

2140417441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 2140417441 is about 46264.6456919320. The cubic root of 2140417441 is about 1288.7425282150.

Adding to 2140417441 its reverse (1447140412), we get a palindrome (3587557853).

The spelling of 2140417441 in words is "two billion, one hundred forty million, four hundred seventeen thousand, four hundred forty-one".