Search a number
-
+
115714011564337 = 1032173155340597
BaseRepresentation
bin11010010011110111000100…
…100011100000100100110001
3120011201011002102101112010111
4122103313010203200210301
5110131324243430024322
61050034141050101321
733242030035450234
oct3223670443404461
9504634072345114
10115714011564337
1133963044962a8a
1210b8a19841a841
134c74a27630114
14208083383541b
15d59ec1156177
hex693dc48e0931

115714011564337 has 24 divisors (see below), whose sum is σ = 117602351824104. Its totient is φ = 113852036703744.

The previous prime is 115714011564331. The next prime is 115714011564377. The reversal of 115714011564337 is 733465110417511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50931973048896 + 64782038515441 = 7136664^2 + 8048729^2 .

It is not a de Polignac number, because 115714011564337 - 231 = 115711864080689 is a prime.

It is a super-3 number, since 3×1157140115643373 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115714011564331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2850289123 + ... + 2850329719.

It is an arithmetic number, because the mean of its divisors is an integer number (4900097992671).

Almost surely, 2115714011564337 is an apocalyptic number.

It is an amenable number.

115714011564337 is a deficient number, since it is larger than the sum of its proper divisors (1888340259767).

115714011564337 is a wasteful number, since it uses less digits than its factorization.

115714011564337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42529 (or 42426 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 115714011564337 in words is "one hundred fifteen trillion, seven hundred fourteen billion, eleven million, five hundred sixty-four thousand, three hundred thirty-seven".

Divisors: 1 103 173 1553 10609 17819 40597 159959 268669 1835357 4181491 7023281 16475777 27672907 63047141 430693573 723397943 2850309421 6493855523 10907155393 74509988129 668867118869 1123437005479 115714011564337