Search a number
-
+
4142134444 = 2272194325867
BaseRepresentation
bin1111011011100011…
…1111010010101100
3101200200011020020211
43312320333102230
531440341300234
61523004152204
7204434363500
oct36670772254
911620136224
104142134444
111836143a08
12977238664
135101c8436
142b4192300
1519399e164
hexf6e3f4ac

4142134444 has 72 divisors (see below), whose sum is σ = 9082772160. Its totient is φ = 1642594464.

The previous prime is 4142134427. The next prime is 4142134453. The reversal of 4142134444 is 4444312414.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147199 + ... + 173065.

Almost surely, 24142134444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142134444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541386080).

4142134444 is an abundant number, since it is smaller than the sum of its proper divisors (4940637716).

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

4142134444 is a wasteful number, since it uses less digits than its factorization.

4142134444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25947 (or 25938 counting only the distinct ones).

The product of its digits is 24576, while the sum is 31.

The square root of 4142134444 is about 64359.4161253814. The cubic root of 4142134444 is about 1605.9846759362.

Adding to 4142134444 its reverse (4444312414), we get a palindrome (8586446858).

The spelling of 4142134444 in words is "four billion, one hundred forty-two million, one hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 43 49 76 86 98 133 172 196 266 301 532 602 817 931 1204 1634 1862 2107 3268 3724 4214 5719 8428 11438 22876 25867 40033 51734 80066 103468 160132 181069 362138 491473 724276 982946 1112281 1267483 1965892 2224562 2534966 3440311 4449124 5069932 6880622 7785967 13761244 15571934 21133339 24082177 31143868 42266678 48164354 54501769 84533356 96328708 109003538 147933373 218007076 295866746 591733492 1035533611 2071067222 4142134444