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11141211042144 = 253238684760563
BaseRepresentation
bin1010001000100000001111…
…1011010011000101100000
31110110002102011010212120100
42202020003323103011200
52430014200011322034
635410111322142400
72226632411220621
oct242100373230540
943402364125510
1011141211042144
113605a63200a27
1212bb2a9051a00
1362a7c4b75521
142a7347969a48
15144c1d898099
hexa2203ed3160

11141211042144 has 36 divisors (see below), whose sum is σ = 31682818901916. Its totient is φ = 3713737013952.

The previous prime is 11141211042133. The next prime is 11141211042209. The reversal of 11141211042144 is 44124011214111.

It is a happy number.

11141211042144 is a `hidden beast` number, since 1 + 1 + 1 + 412 + 1 + 104 + 2 + 144 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19342379994 + ... + 19342380569.

It is an arithmetic number, because the mean of its divisors is an integer number (880078302831).

Almost surely, 211141211042144 is an apocalyptic number.

It is an amenable number.

11141211042144 is an abundant number, since it is smaller than the sum of its proper divisors (20541607859772).

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

11141211042144 is a wasteful number, since it uses less digits than its factorization.

11141211042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38684760579 (or 38684760568 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 11141211042144 its reverse (44124011214111), we get a palindrome (55265222256255).

The spelling of 11141211042144 in words is "eleven trillion, one hundred forty-one billion, two hundred eleven million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 38684760563 77369521126 116054281689 154739042252 232108563378 309478084504 348162845067 464217126756 618956169008 696325690134 928434253512 1237912338016 1392651380268 1856868507024 2785302760536 3713737014048 5570605521072 11141211042144