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4141042401137 is a prime number
BaseRepresentation
bin111100010000101001010…
…111000111111101110001
3112122212202100212001012212
4330100221113013331301
51020321323323314022
612450211342101505
7605115614431565
oct74205127077561
915585670761185
104141042401137
11135722a52a154
1256a68a87a895
13240663622325
141045db1956a5
1572ab84863e2
hex3c4295c7f71

4141042401137 has 2 divisors, whose sum is σ = 4141042401138. Its totient is φ = 4141042401136.

The previous prime is 4141042401107. The next prime is 4141042401151. The reversal of 4141042401137 is 7311042401414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3235073474161 + 905968926976 = 1798631^2 + 951824^2 .

It is a cyclic number.

It is not a de Polignac number, because 4141042401137 - 26 = 4141042401073 is a prime.

It is not a weakly prime, because it can be changed into another prime (4141042401107) 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, 2070521200568 + 2070521200569.

It is an arithmetic number, because the mean of its divisors is an integer number (2070521200569).

Almost surely, 24141042401137 is an apocalyptic number.

It is an amenable number.

4141042401137 is a deficient number, since it is larger than the sum of its proper divisors (1).

4141042401137 is an equidigital number, since it uses as much as digits as its factorization.

4141042401137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 4141042401137 in words is "four trillion, one hundred forty-one billion, forty-two million, four hundred one thousand, one hundred thirty-seven".