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6142351041 = 33798233499
BaseRepresentation
bin1011011100001110…
…01101011011000001
3120212001220202121000
411232013031123001
5100034420213131
62453255522213
7305133056661
oct55607153301
916761822530
106142351041
112672219282
121235089369
1376b71a258
14423aa61a1
1525e3a5ce6
hex16e1cd6c1

6142351041 has 32 divisors (see below), whose sum is σ = 9228800000. Its totient is φ = 4036999824.

The previous prime is 6142351013. The next prime is 6142351097. The reversal of 6142351041 is 1401532416.

It is a happy number.

6142351041 is a `hidden beast` number, since 6 + 142 + 3 + 510 + 4 + 1 = 666.

It is not a de Polignac number, because 6142351041 - 226 = 6075242177 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6142350996 and 6142351014.

It is not an unprimeable number, because it can be changed into a prime (6142351741) 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, 1753710 + ... + 1757208.

It is an arithmetic number, because the mean of its divisors is an integer number (288400000).

Almost surely, 26142351041 is an apocalyptic number.

It is an amenable number.

6142351041 is a deficient number, since it is larger than the sum of its proper divisors (3086448959).

6142351041 is a wasteful number, since it uses less digits than its factorization.

6142351041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6142351041 is about 78373.1525523888. The cubic root of 6142351041 is about 1831.3789203992.

Adding to 6142351041 its reverse (1401532416), we get a palindrome (7543883457).

The spelling of 6142351041 in words is "six billion, one hundred forty-two million, three hundred fifty-one thousand, forty-one".

Divisors: 1 3 9 27 79 237 711 823 2133 2469 3499 7407 10497 22221 31491 65017 94473 195051 276421 585153 829263 1755459 2487789 2879677 7463367 8639031 25917093 77751279 227494483 682483449 2047450347 6142351041