Search a number
-
+
14133142224 = 243373448159
BaseRepresentation
bin11010010100110011…
…01010001011010000
31100110222000000101000
431022121222023100
5212421041022344
610254230142000
71010142504165
oct151231521320
940428000330
1014133142224
115aa2876a33
1228a51b1900
131443087966
1498105406c
1557ab82a69
hex34a66a2d0

14133142224 has 80 divisors (see below), whose sum is σ = 41123161600. Its totient is φ = 4646502144.

The previous prime is 14133142223. The next prime is 14133142249. The reversal of 14133142224 is 42224133141.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (14133142223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192544 + ... + 255615.

It is an arithmetic number, because the mean of its divisors is an integer number (514039520).

Almost surely, 214133142224 is an apocalyptic number.

It is an amenable number.

14133142224 is an abundant number, since it is smaller than the sum of its proper divisors (26990019376).

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

14133142224 is a wasteful number, since it uses less digits than its factorization.

14133142224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448249 (or 448237 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 14133142224 its reverse (42224133141), we get a palindrome (56357275365).

The spelling of 14133142224 in words is "fourteen billion, one hundred thirty-three million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1168 1314 1752 1971 2628 3504 3942 5256 7884 10512 15768 31536 448159 896318 1344477 1792636 2688954 3585272 4033431 5377908 7170544 8066862 10755816 12100293 16133724 21511632 24200586 32267448 32715607 48401172 64534896 65431214 96802344 98146821 130862428 193604688 196293642 261724856 294440463 392587284 523449712 588880926 785174568 883321389 1177761852 1570349136 1766642778 2355523704 3533285556 4711047408 7066571112 14133142224