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41142321110052 = 223237181682924989
BaseRepresentation
bin10010101101011001100010…
…11011110101110000100100
312101200011112002121220221200
421112230301123311300210
520343033433201010202
6223300304342042500
711444302033214541
oct1126546133656044
9171604462556850
1041142321110052
11121223a6763478
1247457a8119430
1319c592027bb96
14a23428515bc8
154b5315d45e1c
hex256b316f5c24

41142321110052 has 144 divisors (see below), whose sum is σ = 107419551985200. Its totient is φ = 13267260656640.

The previous prime is 41142321109997. The next prime is 41142321110071. The reversal of 41142321110052 is 25001112324114.

41142321110052 is a `hidden beast` number, since 4 + 11 + 423 + 211 + 10 + 0 + 5 + 2 = 666.

41142321110052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2920325538816 + 38221995571236 = 1708896^2 + 6182394^2 .

It is a super-3 number, since 3×411423211100523 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41142321109998 and 41142321110025.

It is an unprimeable number.

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 in 47 ways as a sum of consecutive naturals, for example, 1646404774 + ... + 1646429762.

Almost surely, 241142321110052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41142321110052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53709775992600).

41142321110052 is an abundant number, since it is smaller than the sum of its proper divisors (66277230875148).

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

41142321110052 is a wasteful number, since it uses less digits than its factorization.

41142321110052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32046 (or 32041 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 41142321110052 its reverse (25001112324114), we get a palindrome (66143433434166).

The spelling of 41142321110052 in words is "forty-one trillion, one hundred forty-two billion, three hundred twenty-one million, one hundred ten thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 181 222 333 362 444 543 666 724 1086 1332 1629 2172 3258 6516 6697 6829 13394 13658 20091 20487 24989 26788 27316 40182 40974 49978 60273 61461 74967 80364 81948 99956 120546 122922 149934 224901 241092 245844 252673 299868 449802 505346 758019 899604 924593 1010692 1236049 1516038 1849186 2274057 2472098 2773779 3032076 3698372 3708147 4523009 4548114 4944196 5547558 7416294 8321337 9046018 9096228 11095116 11124441 13569027 14832588 16642674 18092036 22248882 27138054 33285348 40707081 44497764 45733813 54276108 81414162 91467626 137201439 162828324 167351333 170649881 182935252 274402878 334702666 341299762 411604317 502053999 511949643 548805756 669405332 682599524 823208634 1004107998 1023899286 1506161997 1535848929 1646417268 2008215996 2047798572 3012323994 3071697858 6024647988 6143395716 6314045597 12628091194 18942136791 25256182388 30887628461 37884273582 56826410373 61775256922 75768547164 92662885383 113652820746 123550513844 185325770766 227305641492 277988656149 370651541532 555977312298 1111954624596 1142842253057 2285684506114 3428526759171 4571369012228 6857053518342 10285580277513 13714107036684 20571160555026 41142321110052