Search a number
-
+
3018235612249 = 112132121492
BaseRepresentation
bin101011111010111100110…
…111001000110001011001
3101200112121000210100201101
4223322330313020301121
5343422321304042444
610230320331551401
7431026456255264
oct53727467106131
911615530710641
103018235612249
11a64032355100
12408b54bbb561
1318b806806100
14a6124b35cdb
15537a063d3d4
hex2bebcdc8c59

3018235612249 has 27 divisors (see below), whose sum is σ = 3592688332989. Its totient is φ = 2532576652320.

The previous prime is 3018235612243. The next prime is 3018235612297. The reversal of 3018235612249 is 9422165328103.

The square root of 3018235612249 is 1737307.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 211163225625 + 2807072386624 = 459525^2 + 1675432^2 .

It is not a de Polignac number, because 3018235612249 - 219 = 3018235087961 is a prime.

It is a super-2 number, since 2×30182356122492 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3018235612199 and 3018235612208.

It is not an unprimeable number, because it can be changed into a prime (3018235612243) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 248428827 + ... + 248440975.

Almost surely, 23018235612249 is an apocalyptic number.

3018235612249 is the 1737307-th square number.

3018235612249 is the 868654-th centered octagonal number.

It is an amenable number.

3018235612249 is a deficient number, since it is larger than the sum of its proper divisors (574452720740).

3018235612249 is an frugal number, since it uses more digits than its factorization.

3018235612249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24346 (or 12173 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 3018235612249 in words is "three trillion, eighteen billion, two hundred thirty-five million, six hundred twelve thousand, two hundred forty-nine".

Divisors: 1 11 13 121 143 169 1573 1859 12149 20449 133639 157937 1470029 1737307 2053181 19110377 22584991 147598201 248434901 1623580211 1918776613 17859382321 21106542743 24944095969 232171970173 274385055659 3018235612249