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11141289352449 = 343708732
BaseRepresentation
bin1010001000100000100010…
…0110000001110100000001
31110110002121121111110010000
42202020020212001310001
52430014330033234244
635410123200430213
72226634351645554
oct242101046016401
943402547443100
1011141289352449
113605aa3428693
1212bb30b318369
1362a808163799
142a735411269b
15144c256b6169
hexa2208981d01

11141289352449 has 15 divisors (see below), whose sum is σ = 16643205513363. Its totient is φ = 7427506207824.

The previous prime is 11141289352429. The next prime is 11141289352481. The reversal of 11141289352449 is 94425398214111.

It is a happy number.

The square root of 11141289352449 is 3337857.

It is a perfect power (a square), and thus also a powerful number.

11141289352449 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 1 + 28 + 93 + 524 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2514333492225 + 8626955860224 = 1585665^2 + 2937168^2 .

It is not a de Polignac number, because 11141289352449 - 29 = 11141289351937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11141289352395 and 11141289352404.

It is not an unprimeable number, because it can be changed into a prime (11141289352429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29855277 + ... + 30226149.

Almost surely, 211141289352449 is an apocalyptic number.

11141289352449 is the 3337857-th square number.

11141289352449 is the 1668929-th centered octagonal number.

It is an amenable number.

11141289352449 is a deficient number, since it is larger than the sum of its proper divisors (5501916160914).

11141289352449 is an frugal number, since it uses more digits than its factorization.

11141289352449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741758 (or 370876 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 11141289352449 in words is "eleven trillion, one hundred forty-one billion, two hundred eighty-nine million, three hundred fifty-two thousand, four hundred forty-nine".

Divisors: 1 3 9 27 81 370873 1112619 3337857 10013571 30040713 137546782129 412640346387 1237921039161 3713763117483 11141289352449