Search a number
-
+
3143404242 = 2321153595077
BaseRepresentation
bin1011101101011100…
…1000101011010010
322010001212110222100
42323113020223102
522414202413432
61235530021230
7140616331566
oct27327105322
98101773870
103143404242
111373408150
12738877816
133b1314214
1421b6956a6
15135e6e07c
hexbb5c8ad2

3143404242 has 96 divisors (see below), whose sum is σ = 7699872960. Its totient is φ = 918552960.

The previous prime is 3143404207. The next prime is 3143404249. The reversal of 3143404242 is 2424043413.

It is a happy number.

3143404242 is a `hidden beast` number, since 3 + 14 + 3 + 404 + 242 = 666.

It is not an unprimeable number, because it can be changed into a prime (3143404249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616608 + ... + 621684.

It is an arithmetic number, because the mean of its divisors is an integer number (80207010).

Almost surely, 23143404242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3143404242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849936480).

3143404242 is an abundant number, since it is smaller than the sum of its proper divisors (4556468718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3143404242 is a wasteful number, since it uses less digits than its factorization.

3143404242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3143404242 is about 56066.0703277838. The cubic root of 3143404242 is about 1464.8733507292.

Adding to 3143404242 its reverse (2424043413), we get a palindrome (5567447655).

The spelling of 3143404242 in words is "three billion, one hundred forty-three million, four hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 59 66 99 106 118 159 177 198 318 354 477 531 583 649 954 1062 1166 1298 1749 1947 3127 3498 3894 5077 5247 5841 6254 9381 10154 10494 11682 15231 18762 28143 30462 34397 45693 55847 56286 68794 91386 103191 111694 167541 206382 269081 299543 309573 335082 502623 538162 599086 619146 807243 898629 1005246 1614486 1797258 2421729 2695887 2959891 3294973 4843458 5391774 5919782 6589946 8879673 9884919 15875779 17759346 19769838 26639019 29654757 31751558 47627337 53278038 59309514 95254674 142882011 174633569 285764022 349267138 523900707 1047801414 1571702121 3143404242