Search a number
-
+
14443122232 = 23711195932081
BaseRepresentation
bin11010111001110000…
…01000111000111000
31101021120021122000001
431130320020320320
5214034414402412
610345102122344
71020625341040
oct153470107070
941246248001
1014443122232
116141847560
122970b803b4
13149236b196
149b02a4720
15597eb3957
hex35ce08e38

14443122232 has 128 divisors (see below), whose sum is σ = 35617190400. Its totient is φ = 5319475200.

The previous prime is 14443122229. The next prime is 14443122241. The reversal of 14443122232 is 23222134441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 14443122232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6939432 + ... + 6941512.

It is an arithmetic number, because the mean of its divisors is an integer number (278259300).

Almost surely, 214443122232 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 14443122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17808595200).

14443122232 is an abundant number, since it is smaller than the sum of its proper divisors (21174068168).

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

14443122232 is a wasteful number, since it uses less digits than its factorization.

14443122232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2713 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

Adding to 14443122232 its reverse (23222134441), we get a palindrome (37665256673).

The spelling of 14443122232 in words is "fourteen billion, four hundred forty-three million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 532 593 616 836 1064 1186 1463 1672 2081 2372 2926 4151 4162 4744 5852 6523 8302 8324 11267 11704 13046 14567 16604 16648 22534 22891 26092 29134 33208 39539 45068 45661 45782 52184 58268 78869 79078 90136 91322 91564 116536 123937 157738 158156 160237 182644 183128 247874 276773 315476 316312 320474 365288 434929 495748 553546 630952 640948 867559 869858 991496 1107092 1234033 1281896 1735118 1739716 2214184 2468066 3044503 3470236 3479432 4936132 6089006 6940472 8638231 9872264 12178012 13574363 17276462 23446627 24356024 27148726 34552924 46893254 54297452 69105848 93786508 95020541 108594904 164126389 187573016 190041082 257912897 328252778 380082164 515825794 656505556 760164328 1031651588 1313011112 1805390279 2063303176 3610780558 7221561116 14443122232