Search a number
-
+
12322443024 = 2432891098821
BaseRepresentation
bin10110111100111100…
…11000111100010000
31011210202211222000200
423132132120330100
5200214021134044
65354424415200
7614235015603
oct133636307420
934722758020
1012322443024
115253774911
12247a917500
131214bbca08
1484c79433a
154c1c14369
hex2de798f10

12322443024 has 120 divisors (see below), whose sum is σ = 35197133400. Its totient is φ = 4023613440.

The previous prime is 12322442987. The next prime is 12322443073. The reversal of 12322443024 is 42034422321.

12322443024 is a `hidden beast` number, since 1 + 2 + 3 + 224 + 430 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1830128400 + 10492314624 = 42780^2 + 102432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1392534 + ... + 1401354.

It is an arithmetic number, because the mean of its divisors is an integer number (293309445).

Almost surely, 212322443024 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 12322443024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17598566700).

12322443024 is an abundant number, since it is smaller than the sum of its proper divisors (22874690376).

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

12322443024 is a wasteful number, since it uses less digits than its factorization.

12322443024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9033 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12322443024 its reverse (42034422321), we get a palindrome (54356865345).

The spelling of 12322443024 in words is "twelve billion, three hundred twenty-two million, four hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 109 144 178 218 267 327 356 436 534 654 712 801 872 981 1068 1308 1424 1602 1744 1962 2136 2616 3204 3924 4272 5232 6408 7848 8821 9701 12816 15696 17642 19402 26463 29103 35284 38804 52926 58206 70568 77608 79389 87309 105852 116412 141136 155216 158778 174618 211704 232824 317556 349236 423408 465648 635112 698472 785069 961489 1270224 1396944 1570138 1922978 2355207 2884467 3140276 3845956 4710414 5768934 6280552 7065621 7691912 8653401 9420828 11537868 12561104 14131242 15383824 17306802 18841656 23075736 28262484 34613604 37683312 46151472 56524968 69227208 85572521 113049936 138454416 171145042 256717563 342290084 513435126 684580168 770152689 1026870252 1369160336 1540305378 2053740504 3080610756 4107481008 6161221512 12322443024