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406941143988481 is a prime number
BaseRepresentation
bin101110010000111000101111…
…0010101001111100100000001
31222100212012020000020220221121
41130201301132111033210001
5411314310430330112411
64001254103011552241
7151500345623230324
oct13441613625174401
91870765200226847
10406941143988481
11108733851936403
1239783b058bb681
131460b50142bc5b
14726c0b0cda7bb
15320a71674e571
hex1721c5e54f901

406941143988481 has 2 divisors, whose sum is σ = 406941143988482. Its totient is φ = 406941143988480.

The previous prime is 406941143988439. The next prime is 406941143988521. The reversal of 406941143988481 is 184889341149604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 288906847507600 + 118034296480881 = 16997260^2 + 10864359^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-406941143988481 is a prime.

It is a super-2 number, since 2×4069411439884812 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 406941143988481.

It is not a weakly prime, because it can be changed into another prime (406941143988881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203470571994240 + 203470571994241.

It is an arithmetic number, because the mean of its divisors is an integer number (203470571994241).

Almost surely, 2406941143988481 is an apocalyptic number.

It is an amenable number.

406941143988481 is a deficient number, since it is larger than the sum of its proper divisors (1).

406941143988481 is an equidigital number, since it uses as much as digits as its factorization.

406941143988481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 191102976, while the sum is 70.

The spelling of 406941143988481 in words is "four hundred six trillion, nine hundred forty-one billion, one hundred forty-three million, nine hundred eighty-eight thousand, four hundred eighty-one".