Search a number
-
+
4143412224 = 21033779271
BaseRepresentation
bin1111011011110111…
…0111010000000000
3101200202120011001000
43312331313100000
531441203142344
61523051412000
7204451265010
oct36675672000
911622504030
104143412224
111836936a26
12977754000
13510554c13
142b4405c40
15193b52a69
hexf6f77400

4143412224 has 352 divisors, whose sum is σ = 14253670400. Its totient is φ = 1164533760.

The previous prime is 4143412199. The next prime is 4143412271. The reversal of 4143412224 is 4222143414.

4143412224 is a `hidden beast` number, since 4 + 1 + 434 + 1 + 2 + 224 = 666.

It is a super-3 number, since 3×41434122243 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15289209 + ... + 15289479.

Almost surely, 24143412224 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 4143412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7126835200).

4143412224 is an abundant number, since it is smaller than the sum of its proper divisors (10110258176).

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

4143412224 is a wasteful number, since it uses less digits than its factorization.

4143412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 362 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4143412224 is about 64369.3422678840. The cubic root of 4143412224 is about 1606.1497988658.

Adding to 4143412224 its reverse (4222143414), we get a palindrome (8365555638).

The spelling of 4143412224 in words is "four billion, one hundred forty-three million, four hundred twelve thousand, two hundred twenty-four".