Search a number
-
+
5140436857 is a prime number
BaseRepresentation
bin1001100100110010…
…01101011101111001
3111021020122020201021
410302121031131321
541011422434412
62210025222441
7241245664243
oct46231153571
914236566637
105140436857
1121a8708326
12bb5631a21
1363bc8ca1a
1436a9bb093
15201447607
hex13264d779

5140436857 has 2 divisors, whose sum is σ = 5140436858. Its totient is φ = 5140436856.

The previous prime is 5140436843. The next prime is 5140436867. The reversal of 5140436857 is 7586340415.

5140436857 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4788086416 + 352350441 = 69196^2 + 18771^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5140436857 is a prime.

It is a super-3 number, since 3×51404368573 (a number of 30 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (5140436827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2570218428 + 2570218429.

It is an arithmetic number, because the mean of its divisors is an integer number (2570218429).

Almost surely, 25140436857 is an apocalyptic number.

It is an amenable number.

5140436857 is a deficient number, since it is larger than the sum of its proper divisors (1).

5140436857 is an equidigital number, since it uses as much as digits as its factorization.

5140436857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 403200, while the sum is 43.

The square root of 5140436857 is about 71696.8399373362. The cubic root of 5140436857 is about 1725.8379301720.

The spelling of 5140436857 in words is "five billion, one hundred forty million, four hundred thirty-six thousand, eight hundred fifty-seven".