Search a number
-
+
4143836144 = 247349106013
BaseRepresentation
bin1111011011111101…
…1110101111110000
3101200210100200112202
43312333132233300
531441310224034
61523104442332
7204455011640
oct36677365760
911623320482
104143836144
1118370a6478
129779193a8
13510672b66
142b44b6520
15193bd847e
hexf6fdebf0

4143836144 has 40 divisors (see below), whose sum is σ = 9202015200. Its totient is φ = 1770824448.

The previous prime is 4143836131. The next prime is 4143836159. The reversal of 4143836144 is 4416383414.

It is a junction number, because it is equal to n+sod(n) for n = 4143836098 and 4143836107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13919 + ... + 92094.

It is an arithmetic number, because the mean of its divisors is an integer number (230050380).

Almost surely, 24143836144 is an apocalyptic number.

It is an amenable number.

4143836144 is an abundant number, since it is smaller than the sum of its proper divisors (5058179056).

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

4143836144 is a wasteful number, since it uses less digits than its factorization.

4143836144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106377 (or 106371 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 4143836144 is about 64372.6350555886. The cubic root of 4143836144 is about 1606.2045730283.

The spelling of 4143836144 in words is "four billion, one hundred forty-three million, eight hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 349 698 1396 2443 2792 4886 5584 9772 19544 39088 106013 212026 424052 742091 848104 1484182 1696208 2968364 5936728 11873456 36998537 73997074 147994148 258989759 295988296 517979518 591976592 1035959036 2071918072 4143836144