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2141414917 is a prime number
BaseRepresentation
bin111111110100011…
…0110011000000101
312112020110011000121
41333220312120011
513341200234132
6552253541541
7104031504115
oct17750663005
95466404017
102141414917
119a98557a4
124b91a48b1
1328185b725
1416458b045
15c7ee8497
hex7fa36605

2141414917 has 2 divisors, whose sum is σ = 2141414918. Its totient is φ = 2141414916.

The previous prime is 2141414903. The next prime is 2141414927. The reversal of 2141414917 is 7194141412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2133608481 + 7806436 = 46191^2 + 2794^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2141414917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2141414927) 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, 1070707458 + 1070707459.

It is an arithmetic number, because the mean of its divisors is an integer number (1070707459).

Almost surely, 22141414917 is an apocalyptic number.

It is an amenable number.

2141414917 is a deficient number, since it is larger than the sum of its proper divisors (1).

2141414917 is an equidigital number, since it uses as much as digits as its factorization.

2141414917 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 34.

The square root of 2141414917 is about 46275.4245469450. The cubic root of 2141414917 is about 1288.9426901213.

The spelling of 2141414917 in words is "two billion, one hundred forty-one million, four hundred fourteen thousand, nine hundred seventeen".