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1155135141 = 33236727763
BaseRepresentation
bin100010011011001…
…1111011010100101
32222111120221112000
41010312133122211
54331203311031
6310342315513
740424325636
oct10466373245
92874527460
101155135141
11543053146
12282a28b99
13155416524
14ad5b188d
156b6273e6
hex44d9f6a5

1155135141 has 32 divisors (see below), whose sum is σ = 1812433920. Its totient is φ = 725587632.

The previous prime is 1155135131. The next prime is 1155135143. The reversal of 1155135141 is 1415315511.

1155135141 is a `hidden beast` number, since 1 + 1 + 5 + 513 + 5 + 141 = 666.

It is not a de Polignac number, because 1155135141 - 25 = 1155135109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155135143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27726 + ... + 55488.

It is an arithmetic number, because the mean of its divisors is an integer number (56638560).

Almost surely, 21155135141 is an apocalyptic number.

It is an amenable number.

1155135141 is a deficient number, since it is larger than the sum of its proper divisors (657298779).

1155135141 is a wasteful number, since it uses less digits than its factorization.

1155135141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27862 (or 27856 counting only the distinct ones).

The product of its digits is 1500, while the sum is 27.

The square root of 1155135141 is about 33987.2791055712. The cubic root of 1155135141 is about 1049.2466678074.

The spelling of 1155135141 in words is "one billion, one hundred fifty-five million, one hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 3 9 23 27 67 69 201 207 603 621 1541 1809 4623 13869 27763 41607 83289 249867 638549 749601 1860121 1915647 5580363 5746941 16741089 17240823 42782783 50223267 128348349 385045047 1155135141