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241613405461 is a prime number
BaseRepresentation
bin1110000100000101000…
…1111111110100010101
3212002122110020201012201
43201001101333310111
512424311012433321
6302555021444501
723312256026551
oct3410121776425
9762573221181
10241613405461
119351651768a
123a9aba10731
1319a2671c10c
14b9a0a72861
156441907291
hex384147fd15

241613405461 has 2 divisors, whose sum is σ = 241613405462. Its totient is φ = 241613405460.

The previous prime is 241613405357. The next prime is 241613405497. The reversal of 241613405461 is 164504316142.

241613405461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223049342961 + 18564062500 = 472281^2 + 136250^2 .

It is a cyclic number.

It is not a de Polignac number, because 241613405461 - 27 = 241613405333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 241613405461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (241613505461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120806702730 + 120806702731.

It is an arithmetic number, because the mean of its divisors is an integer number (120806702731).

Almost surely, 2241613405461 is an apocalyptic number.

It is an amenable number.

241613405461 is a deficient number, since it is larger than the sum of its proper divisors (1).

241613405461 is an equidigital number, since it uses as much as digits as its factorization.

241613405461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 241613405461 in words is "two hundred forty-one billion, six hundred thirteen million, four hundred five thousand, four hundred sixty-one".