Base | Representation |
---|---|
bin | 1111110000110011… |
… | …0101101101010000 |
3 | 101220212210110100100 |
4 | 3330030311231100 |
5 | 32131143133034 |
6 | 1535505452400 |
7 | 206565545310 |
oct | 37414655520 |
9 | 11825713310 |
10 | 4231224144 |
11 | 1881463364 |
12 | 9a1041100 |
13 | 5257bbc34 |
14 | 2c1d43440 |
15 | 19b6eb099 |
hex | fc335b50 |
4231224144 has 120 divisors (see below), whose sum is σ = 13577450432. Its totient is φ = 1204968960.
The previous prime is 4231224143. The next prime is 4231224161. The reversal of 4231224144 is 4414221324.
4231224144 is a `hidden beast` number, since 423 + 1 + 224 + 14 + 4 = 666.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4231224143) 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 23 ways as a sum of consecutive naturals, for example, 308799 + ... + 322209.
Almost surely, 24231224144 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 4231224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788725216).
4231224144 is an abundant number, since it is smaller than the sum of its proper divisors (9346226288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4231224144 is a wasteful number, since it uses less digits than its factorization.
4231224144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13745 (or 13736 counting only the distinct ones).
The product of its digits is 6144, while the sum is 27.
The square root of 4231224144 is about 65047.8604106238. The cubic root of 4231224144 is about 1617.4170269432.
Adding to 4231224144 its reverse (4414221324), we get a palindrome (8645445468).
The spelling of 4231224144 in words is "four billion, two hundred thirty-one million, two hundred twenty-four thousand, one hundred forty-four".
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