Search a number
-
+
14122113012 = 22327246317291
BaseRepresentation
bin11010010011011111…
…00101011111110100
31100110012020200010200
431021233211133310
5212410230104022
610253153520500
71006646660100
oct151157453764
940405220120
1014122113012
115a97623587
1228a1573130
1314409c57b7
1497d7c2900
15579c04bac
hex349be57f4

14122113012 has 108 divisors (see below), whose sum is σ = 41617832256. Its totient is φ = 4025941920.

The previous prime is 14122113011. The next prime is 14122113059. The reversal of 14122113012 is 21031122141.

14122113012 is a `hidden beast` number, since 1 + 412 + 211 + 30 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14122113011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 808087 + ... + 825377.

Almost surely, 214122113012 is an apocalyptic number.

14122113012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14122113012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20808916128).

14122113012 is an abundant number, since it is smaller than the sum of its proper divisors (27495719244).

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

14122113012 is a wasteful number, since it uses less digits than its factorization.

14122113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17778 (or 17766 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 14122113012 its reverse (21031122141), we get a palindrome (35153235153).

The spelling of 14122113012 in words is "fourteen billion, one hundred twenty-two million, one hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 463 588 882 926 1389 1764 1852 2778 3241 4167 5556 6482 8334 9723 12964 16668 17291 19446 22687 29169 34582 38892 45374 51873 58338 68061 69164 90748 103746 116676 121037 136122 155619 204183 207492 242074 272244 311238 363111 408366 484148 622476 726222 816732 847259 1089333 1452444 1694518 2178666 2541777 3389036 4357332 5083554 7625331 8005733 10167108 15250662 16011466 24017199 30501324 32022932 48034398 56040131 72051597 96068796 112080262 144103194 168120393 224160524 288206388 336240786 392280917 504361179 672481572 784561834 1008722358 1176842751 1569123668 2017444716 2353685502 3530528253 4707371004 7061056506 14122113012