Search a number
-
+
14214141120012 = 2231727275637767
BaseRepresentation
bin1100111011010111110011…
…0101010000111000001100
31212022212011221012222002120
43032311330311100320030
53330341030111320022
650121515234252540
72664636445006521
oct316657465207014
955285157188076
1014214141120012
114590202111629
121716967127150
137c1506b92052
14371d7a67d148
15199b20a7dd5c
hexced7cd50e0c

14214141120012 has 72 divisors (see below), whose sum is σ = 35280520713984. Its totient is φ = 4453203710208.

The previous prime is 14214141119999. The next prime is 14214141120061. The reversal of 14214141120012 is 21002114141241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297648 + ... + 5340119.

Almost surely, 214214141120012 is an apocalyptic number.

14214141120012 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 14214141120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640260356992).

14214141120012 is an abundant number, since it is smaller than the sum of its proper divisors (21066379593972).

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

14214141120012 is a wasteful number, since it uses less digits than its factorization.

14214141120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638535 (or 5638516 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 14214141120012 its reverse (21002114141241), we get a palindrome (35216255261253).

The spelling of 14214141120012 in words is "fourteen trillion, two hundred fourteen billion, one hundred forty-one million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 578 727 867 1156 1454 1734 2181 2908 3468 4362 8724 12359 24718 37077 49436 74154 148308 210103 420206 630309 840412 1260618 2521236 5637767 11275534 16913301 22551068 33826602 67653204 95842039 191684078 287526117 383368156 575052234 1150104468 1629314663 3258629326 4098656609 4887943989 6517258652 8197313218 9775887978 12295969827 16394626436 19551775956 24591939654 49183879308 69677162353 139354324706 209031487059 278708649412 418062974118 836125948236 1184511760001 2369023520002 3553535280003 4738047040004 7107070560006 14214141120012