Search a number
-
+
3144332353 = 4128921017
BaseRepresentation
bin1011101101101010…
…1011010001000001
322010010121122002211
42323122223101001
522414422113403
61240001542121
7140630245501
oct27332532101
98103548084
103144332353
111373991488
12739044941
133b157a7b6
1421b857a01
151360a406d
hexbb6ab441

3144332353 has 12 divisors (see below), whose sum is σ = 3259261260. Its totient is φ = 3033029120.

The previous prime is 3144332329. The next prime is 3144332357. The reversal of 3144332353 is 3532334413.

3144332353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2517731329 + 626601024 = 50177^2 + 25032^2 .

It is a de Polignac number, because none of the positive numbers 2k-3144332353 is a prime.

It is a super-2 number, since 2×31443323532 = 19773651892245033218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3144332357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139101 + ... + 160117.

It is an arithmetic number, because the mean of its divisors is an integer number (271605105).

Almost surely, 23144332353 is an apocalyptic number.

It is an amenable number.

3144332353 is a deficient number, since it is larger than the sum of its proper divisors (114928907).

3144332353 is an equidigital number, since it uses as much as digits as its factorization.

3144332353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21188 (or 21147 counting only the distinct ones).

The product of its digits is 38880, while the sum is 31.

The square root of 3144332353 is about 56074.3466569161. The cubic root of 3144332353 is about 1465.0175077408.

Adding to 3144332353 its reverse (3532334413), we get a palindrome (6676666766).

The spelling of 3144332353 in words is "three billion, one hundred forty-four million, three hundred thirty-two thousand, three hundred fifty-three".

Divisors: 1 41 89 1681 3649 21017 149609 861697 1870513 35329577 76691033 3144332353