Search a number
-
+
14312134044 = 223213233131251
BaseRepresentation
bin11010101010001000…
…11101010110011100
31100221102210201222200
431111010131112130
5213302401242134
610324102411500
71014445063215
oct152504352634
940842721880
1014312134044
11608491015a
122935130b90
131471197990
1499ab2840c
1558b73c499
hex35511d59c

14312134044 has 72 divisors (see below), whose sum is σ = 39128321232. Its totient is φ = 4384800000.

The previous prime is 14312134043. The next prime is 14312134051. The reversal of 14312134044 is 44043121341.

14312134044 is a `hidden beast` number, since 1 + 4 + 312 + 1 + 340 + 4 + 4 = 666.

14312134044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14312133999 and 14312134017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14312134043) 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, 43419 + ... + 174669.

It is an arithmetic number, because the mean of its divisors is an integer number (543448906).

Almost surely, 214312134044 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 14312134044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19564160616).

14312134044 is an abundant number, since it is smaller than the sum of its proper divisors (24816187188).

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

14312134044 is a wasteful number, since it uses less digits than its factorization.

14312134044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131507 (or 131502 counting only the distinct ones).

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

Adding to 14312134044 its reverse (44043121341), we get a palindrome (58355255385).

The spelling of 14312134044 in words is "fourteen billion, three hundred twelve million, one hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 233 234 466 468 699 932 1398 2097 2796 3029 4194 6058 8388 9087 12116 18174 27261 36348 54522 109044 131251 262502 393753 525004 787506 1181259 1575012 1706263 2362518 3412526 4725036 5118789 6825052 10237578 15356367 20475156 30581483 30712734 61162966 61425468 91744449 122325932 183488898 275233347 366977796 397559279 550466694 795118558 1100933388 1192677837 1590237116 2385355674 3578033511 4770711348 7156067022 14312134044