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1141532145 = 3251310331889
BaseRepresentation
bin100010000001010…
…0110010111110001
32221112222211201100
41010002212113301
54314213012040
6305134555013
740200602025
oct10402462761
92845884640
101141532145
11536401aa6
1227a368a69
13152662a10
14ab870385
156a33bb30
hex440a65f1

1141532145 has 48 divisors (see below), whose sum is σ = 2134051920. Its totient is φ = 561143808.

The previous prime is 1141532143. The next prime is 1141532153. The reversal of 1141532145 is 5412351411.

1141532145 is a `hidden beast` number, since 114 + 1 + 532 + 14 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 646416 + 1140885729 = 804^2 + 33777^2 .

It is not a de Polignac number, because 1141532145 - 21 = 1141532143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1141532143) 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 47 ways as a sum of consecutive naturals, for example, 603361 + ... + 605249.

It is an arithmetic number, because the mean of its divisors is an integer number (44459415).

Almost surely, 21141532145 is an apocalyptic number.

1141532145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1141532145 is a deficient number, since it is larger than the sum of its proper divisors (992519775).

1141532145 is a wasteful number, since it uses less digits than its factorization.

1141532145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2943 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 1141532145 is about 33786.5675232037. The cubic root of 1141532145 is about 1045.1117132161. Note that the first 3 decimals are identical.

Adding to 1141532145 its reverse (5412351411), we get a palindrome (6553883556).

The spelling of 1141532145 in words is "one billion, one hundred forty-one million, five hundred thirty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 1033 1889 3099 5165 5667 9297 9445 13429 15495 17001 24557 28335 40287 46485 67145 73671 85005 120861 122785 201435 221013 368355 604305 1105065 1951337 5854011 9756685 17562033 25367381 29270055 76102143 87810165 126836905 228306429 380510715 1141532145