Search a number
-
+
6142300011 = 3310712171747
BaseRepresentation
bin1011011100001110…
…00000111101101011
3120212001211011121000
411232013000331223
5100034412100021
62453254450043
7305132455131
oct55607007553
916761734530
106142300011
112672193a01
121235063923
1376b6ccc63
14423a91751
1525e395b26
hex16e1c0f6b

6142300011 has 32 divisors (see below), whose sum is σ = 9197556480. Its totient is φ = 4050943488.

The previous prime is 6142299949. The next prime is 6142300037. The reversal of 6142300011 is 1100032416.

It is a happy number.

It is not a de Polignac number, because 6142300011 - 27 = 6142299883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6142300061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3515040 + ... + 3516786.

It is an arithmetic number, because the mean of its divisors is an integer number (287423640).

Almost surely, 26142300011 is an apocalyptic number.

6142300011 is a deficient number, since it is larger than the sum of its proper divisors (3055256469).

6142300011 is a wasteful number, since it uses less digits than its factorization.

6142300011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6142300011 is about 78372.8269937993. The cubic root of 6142300011 is about 1831.3738487513.

Adding to 6142300011 its reverse (1100032416), we get a palindrome (7242332427).

It can be divided in two parts, 6142 and 300011, that added together give a triangular number (306153 = T782).

The spelling of 6142300011 in words is "six billion, one hundred forty-two million, three hundred thousand, eleven".

Divisors: 1 3 9 27 107 321 963 1217 1747 2889 3651 5241 10953 15723 32859 47169 130219 186929 390657 560787 1171971 1682361 2126099 3515913 5047083 6378297 19134891 57404673 227492593 682477779 2047433337 6142300011