Search a number
-
+
12142223324 = 2273112927743
BaseRepresentation
bin10110100111011101…
…11001111111011100
31011100012201212001222
423103232321333130
5144331402121244
65324505552512
7606616124000
oct132356717734
934305655058
1012142223324
115170a72110
12242a4a5738
1311b676cb3a
14832880700
154b0eb5bee
hex2d3bb9fdc

12142223324 has 96 divisors (see below), whose sum is σ = 27965952000. Its totient is φ = 4567442880.

The previous prime is 12142223323. The next prime is 12142223329. The reversal of 12142223324 is 42332224121.

It is a junction number, because it is equal to n+sod(n) for n = 12142223293 and 12142223302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142223323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 423797 + ... + 451539.

It is an arithmetic number, because the mean of its divisors is an integer number (291312000).

Almost surely, 212142223324 is an apocalyptic number.

12142223324 is a gapful number since it is divisible by the number (14) 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 12142223324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13982976000).

12142223324 is an abundant number, since it is smaller than the sum of its proper divisors (15823728676).

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

12142223324 is a wasteful number, since it uses less digits than its factorization.

12142223324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27808 (or 27792 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

Adding to 12142223324 its reverse (42332224121), we get a palindrome (54474447445).

The spelling of 12142223324 in words is "twelve billion, one hundred forty-two million, two hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 49 58 77 98 116 154 196 203 308 319 343 406 539 638 686 812 1078 1276 1372 1421 2156 2233 2842 3773 4466 5684 7546 8932 9947 15092 15631 19894 27743 31262 39788 55486 62524 109417 110972 194201 218834 305173 388402 437668 610346 776804 804547 1220692 1359407 1609094 2136211 2718814 3218188 4272422 5437628 5631829 8544844 8850017 9515849 11263658 14953477 17700034 19031698 22527316 29906954 35400068 38063396 39422803 59813908 61950119 78845606 104674339 123900238 157691212 209348678 247800476 275959621 418697356 433650833 551919242 867301666 1103838484 1734603332 3035555831 6071111662 12142223324