Search a number
-
+
6142807237 = 777459
BaseRepresentation
bin1011011100010001…
…11100110011000101
3120212002202221101011
411232020330303011
5100040024312422
62453313402221
7305140000000
oct55610746305
916762687334
106142807237
1126724aaaa6
121235269371
1376b849aa8
14423b84537
1525e446077
hex16e23ccc5

6142807237 has 16 divisors (see below), whose sum is σ = 7167568000. Its totient is φ = 5264557452.

The previous prime is 6142807207. The next prime is 6142807241. The reversal of 6142807237 is 7327082416.

It is not a de Polignac number, because 6142807237 - 27 = 6142807109 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6142807237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142807207) 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 15 ways as a sum of consecutive naturals, for example, 819814 + ... + 827272.

It is an arithmetic number, because the mean of its divisors is an integer number (447973000).

Almost surely, 26142807237 is an apocalyptic number.

It is an amenable number.

6142807237 is a deficient number, since it is larger than the sum of its proper divisors (1024760763).

6142807237 is an frugal number, since it uses more digits than its factorization.

6142807237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508 (or 7466 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 6142807237 is about 78376.0629082630. The cubic root of 6142807237 is about 1831.4242584708.

The spelling of 6142807237 in words is "six billion, one hundred forty-two million, eight hundred seven thousand, two hundred thirty-seven".

Divisors: 1 7 49 343 2401 7459 16807 52213 117649 365491 823543 2558437 17909059 125363413 877543891 6142807237