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243124040340 = 2232567113178403
BaseRepresentation
bin1110001001101101010…
…0100111001010010100
3212020112201202220200200
43202123110213022110
512440404223242330
6303404543540500
723364561150066
oct3423324471224
9766481686620
10243124040340
1194121200a65
123b1518ba730
1319c07695bcc
14baa5543736
1564ce352a60
hex389b527294

243124040340 has 144 divisors (see below), whose sum is σ = 755111343168. Its totient is φ = 63299884032.

The previous prime is 243124040317. The next prime is 243124040353. The reversal of 243124040340 is 43040421342.

It is a happy number.

243124040340 is a `hidden beast` number, since 2 + 4 + 312 + 4 + 0 + 4 + 0 + 340 = 666.

It is a super-3 number, since 3×2431240403403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1273579 + ... + 1451981.

It is an arithmetic number, because the mean of its divisors is an integer number (5243828772).

Almost surely, 2243124040340 is an apocalyptic number.

243124040340 is a gapful number since it is divisible by the number (20) 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 243124040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377555671584).

243124040340 is an abundant number, since it is smaller than the sum of its proper divisors (511987302828).

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

243124040340 is a wasteful number, since it uses less digits than its factorization.

243124040340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178598 (or 178593 counting only the distinct ones).

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

Adding to 243124040340 its reverse (43040421342), we get a palindrome (286164461682).

The spelling of 243124040340 in words is "two hundred forty-three billion, one hundred twenty-four million, forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 113 134 180 201 226 268 335 339 402 452 565 603 670 678 804 1005 1017 1130 1206 1340 1356 1695 2010 2034 2260 2412 3015 3390 4020 4068 5085 6030 6780 7571 10170 12060 15142 20340 22713 30284 37855 45426 68139 75710 90852 113565 136278 151420 178403 227130 272556 340695 356806 454260 535209 681390 713612 892015 1070418 1362780 1605627 1784030 2140836 2676045 3211254 3568060 5352090 6422508 8028135 10704180 11953001 16056270 20159539 23906002 32112540 35859003 40319078 47812004 59765005 60478617 71718006 80638156 100797695 107577009 119530010 120957234 143436012 179295015 181435851 201595390 215154018 239060020 241914468 302393085 358590030 362871702 403190780 430308036 537885045 604786170 717180060 725743404 907179255 1075770090 1209572340 1350689113 1814358510 2151540180 2701378226 3628717020 4052067339 5402756452 6753445565 8104134678 12156202017 13506891130 16208269356 20260336695 24312404034 27013782260 40520673390 48624808068 60781010085 81041346780 121562020170 243124040340