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6144045039 = 32112322911783
BaseRepresentation
bin1011011100011011…
…01010111111101111
3120212012002211022200
411232031222333233
5100040333420124
62453400112543
7305153343516
oct55615527757
916765084280
106144045039
112673175a80
121235765753
1376bb91312
14423dc767d
1525e5dcbc9
hex16e36afef

6144045039 has 48 divisors (see below), whose sum is σ = 10147438080. Its totient is φ = 3545910720.

The previous prime is 6144045023. The next prime is 6144045043. The reversal of 6144045039 is 9305404416.

6144045039 is a `hidden beast` number, since 6 + 144 + 0 + 4 + 503 + 9 = 666.

It is not a de Polignac number, because 6144045039 - 24 = 6144045023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6144044994 and 6144045012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6144045139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515542 + ... + 527324.

It is an arithmetic number, because the mean of its divisors is an integer number (211404960).

Almost surely, 26144045039 is an apocalyptic number.

6144045039 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

6144045039 is a deficient number, since it is larger than the sum of its proper divisors (4003393041).

6144045039 is a wasteful number, since it uses less digits than its factorization.

6144045039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12052 (or 12049 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6144045039 is about 78383.9590668907. The cubic root of 6144045039 is about 1831.5472634897.

The spelling of 6144045039 in words is "six billion, one hundred forty-four million, forty-five thousand, thirty-nine".

Divisors: 1 3 9 11 23 33 69 99 207 229 253 687 759 2061 2277 2519 5267 7557 11783 15801 22671 35349 47403 57937 106047 129613 173811 271009 388839 521433 813027 1166517 2439081 2698307 2981099 8094921 8943297 24284763 26829891 29681377 62061061 89044131 186183183 267132393 558549549 682671671 2048015013 6144045039