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11141244332244 = 2236132200311287
BaseRepresentation
bin1010001000100000010111…
…1010010010100011010100
31110110002111110210012000000
42202020011322102203110
52430014232022112434
635410114511451300
72226633264201405
oct242100572224324
943402443705000
1011141244332244
113605a7aa79304
1212bb2b8226b30
1362a7cba2cc00
142a734c1539ac
15144c21771b99
hexa2205e928d4

11141244332244 has 252 divisors, whose sum is σ = 31672621413216. Its totient is φ = 3426060141504.

The previous prime is 11141244332209. The next prime is 11141244332261. The reversal of 11141244332244 is 44223344214111.

11141244332244 is a `hidden beast` number, since 1 + 1 + 1 + 41 + 2 + 44 + 332 + 244 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11141244332199 and 11141244332208.

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 83 ways as a sum of consecutive naturals, for example, 987080769 + ... + 987092055.

It is an arithmetic number, because the mean of its divisors is an integer number (125685005608).

Almost surely, 211141244332244 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 11141244332244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15836310706608).

11141244332244 is an abundant number, since it is smaller than the sum of its proper divisors (20531377080972).

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

11141244332244 is a wasteful number, since it uses less digits than its factorization.

11141244332244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13338 (or 13308 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 11141244332244 its reverse (44223344214111), we get a palindrome (55364588546355).

The spelling of 11141244332244 in words is "eleven trillion, one hundred forty-one billion, two hundred forty-four million, three hundred thirty-two thousand, two hundred forty-four".