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4143239424 = 28361492
BaseRepresentation
bin1111011011110100…
…1101000100000000
3101200202020101000000
43312331031010000
531441132130144
61523044000000
7204446645142
oct36675150400
911622211000
104143239424
111836829115
12977690000
135104c437c
142b439cc92
15193b1b769
hexf6f4d100

4143239424 has 189 divisors, whose sum is σ = 12483547573. Its totient is φ = 1371810816.

The previous prime is 4143239393. The next prime is 4143239447. The reversal of 4143239424 is 4249323414.

The square root of 4143239424 is 64368.

It is a perfect power (a square), and thus also a powerful number.

4143239424 is a `hidden beast` number, since 414 + 3 + 239 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 485409024 + 3657830400 = 22032^2 + 60480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 27806902 + ... + 27807050.

Almost surely, 24143239424 is an apocalyptic number.

4143239424 is the 64368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4143239424

4143239424 is an abundant number, since it is smaller than the sum of its proper divisors (8340308149).

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

4143239424 is an frugal number, since it uses more digits than its factorization.

4143239424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 154 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The cubic root of 4143239424 is about 1606.1274705264.

Multiplying 4143239424 by its sum of digits (36), we get a square (149156619264 = 3862082).

4143239424 divided by its sum of digits (36) gives a square (115089984 = 107282).

Multiplying 4143239424 by its product of digits (82944), we get a square (343656850784256 = 185379842).

The spelling of 4143239424 in words is "four billion, one hundred forty-three million, two hundred thirty-nine thousand, four hundred twenty-four".