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41004124233444 = 22322500494555121
BaseRepresentation
bin10010101001011000001000…
…10000100101111011100100
312101011221210220211012111100
421110230010100211323210
520333302421300432234
6223113011251240100
711431310265152001
oct1124540420457344
9171157726735440
1041004124233444
111207982a177659
124722a5a2a9030
1319b5898131808
14a1a8785748a8
154b1928598399
hex254b04425ee4

41004124233444 has 36 divisors (see below), whose sum is σ = 103649751305100. Its totient is φ = 13667983749120.

The previous prime is 41004124233403. The next prime is 41004124233491. The reversal of 41004124233444 is 44433242140014.

41004124233444 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 41 + 242 + 334 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36373708847844 + 4630415385600 = 6031062^2 + 2151840^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×410041242334442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41004124233399 and 41004124233408.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6724204 + ... + 11279324.

It is an arithmetic number, because the mean of its divisors is an integer number (2879159758475).

Almost surely, 241004124233444 is an apocalyptic number.

It is an amenable number.

41004124233444 is an abundant number, since it is smaller than the sum of its proper divisors (62645627071656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41004124233444 is a wasteful number, since it uses less digits than its factorization.

41004124233444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4805180 (or 4805175 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 41004124233444 its reverse (44433242140014), we get a palindrome (85437366373458).

The spelling of 41004124233444 in words is "forty-one trillion, four billion, one hundred twenty-four million, two hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 250049 500098 750147 1000196 1500294 2250441 3000588 4500882 4555121 9001764 9110242 13665363 18220484 27330726 40996089 54661452 81992178 163984356 1139003450929 2278006901858 3417010352787 4556013803716 6834020705574 10251031058361 13668041411148 20502062116722 41004124233444