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14241122232132 = 22323401111286387
BaseRepresentation
bin1100111100111100010100…
…0010000010011101000100
31212102102211021221110211110
43033033011002002131010
53331311304242412012
650142140425205020
72666613166455135
oct317170502023504
955372737843743
1014241122232132
1145a06982644a4
121720037030770
137c3c1698b753
143733b9ba5c8c
1519a69e63273c
hexcf3c5082744

14241122232132 has 48 divisors (see below), whose sum is σ = 34674928146432. Its totient is φ = 4540530936480.

The previous prime is 14241122232091. The next prime is 14241122232173. The reversal of 14241122232132 is 23123222114241.

It is an interprime number because it is at equal distance from previous prime (14241122232091) and next prime (14241122232173).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14241122232132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10427443 + ... + 11713829.

It is an arithmetic number, because the mean of its divisors is an integer number (722394336384).

Almost surely, 214241122232132 is an apocalyptic number.

14241122232132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14241122232132 is an abundant number, since it is smaller than the sum of its proper divisors (20433805914300).

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

14241122232132 is a wasteful number, since it uses less digits than its factorization.

14241122232132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326528 (or 1326526 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 14241122232132 its reverse (23123222114241), we get a palindrome (37364344346373).

The spelling of 14241122232132 in words is "fourteen trillion, two hundred forty-one billion, one hundred twenty-two million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 40111 80222 120333 160444 240666 481332 922553 1286387 1845106 2572774 2767659 3690212 3859161 5145548 5535318 7718322 11070636 15436644 29586901 59173802 88760703 118347604 177521406 355042812 51598268957 103196537914 154794806871 206393075828 309589613742 619179227484 1186760186011 2373520372022 3560280558033 4747040744044 7120561116066 14241122232132