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41004111040009 = 135373815239697
BaseRepresentation
bin10010101001011000000110…
…11110010000111000001001
312101011221202222222220111121
421110230003132100320021
520333302404411240014
6223113010100355241
711431310045052115
oct1124540336207011
9171157688886447
1041004111040009
1112079822786197
124722a559a5b21
1319b5895492550
14a1a8768dc745
154b192733e124
hex254b03790e09

41004111040009 has 16 divisors (see below), whose sum is σ = 45607769664912. Its totient is φ = 36627089061888.

The previous prime is 41004111039959. The next prime is 41004111040027. The reversal of 41004111040009 is 90004011140014.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34958528784 + 40969152511225 = 186972^2 + 6400715^2 .

It is not a de Polignac number, because 41004111040009 - 213 = 41004111031817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41004111040309) 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 in 15 ways as a sum of consecutive naturals, for example, 407569552 + ... + 407670145.

It is an arithmetic number, because the mean of its divisors is an integer number (2850485604057).

Almost surely, 241004111040009 is an apocalyptic number.

It is an amenable number.

41004111040009 is a deficient number, since it is larger than the sum of its proper divisors (4603658624903).

41004111040009 is a wasteful number, since it uses less digits than its factorization.

41004111040009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815239836.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 41004111040009 in words is "forty-one trillion, four billion, one hundred eleven million, forty thousand, nine".

Divisors: 1 13 53 73 689 949 3869 50297 815239697 10598116061 43207703941 59512497881 561700151233 773662472453 3154162387693 41004111040009