42042133670400
42,042,133,670,400 is an even composite number composed of six prime numbers multiplied together.
42042133670400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 42042133670400:
29 × 32 × 52 × 41 × 1181 × 7537
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 41 × 1181 × 7537)See below for interesting mathematical facts about the number 42042133670400 from the Numbermatics database.
Names of 42042133670400
- Cardinal: 42042133670400 can be written as Forty-two trillion, forty-two billion, one hundred thirty-three million, six hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 4.20421336704 × 1013
Factors of 42042133670400
Divisors of 42042133670400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 60 64 72 75 80 82 90 96 100 120 123 128 144 150 160 164 180 192 200 205 225 240 246 256 288 300 320 328 360 369 384 400 410 450 480 492 512 576 600 615 640 656 720 738 768 800 820 900 960 984 1025 1152 1181 1200 1230 1280 1312 1440 1476 1536 1600 1640 1800 1845 1920 1968 2050 2304 2362 2400 2460 2560 2624 2880 2952 3075 3200 3280 3543 3600 3690 3840 3936 4100 4608 4724 4800 4920 5248 5760 5904 5905 6150 6400 6560 7086 7200 7380 7537 7680 7872 8200 9225 9448 9600 9840 10496 10629 11520 11808 11810 12300 12800 13120 14172 14400 14760 15074 15744 16400 17715 18450 18896 19200 19680 20992 21258 22611 23040 23616 23620 24600 26240 28344 28800 29520 29525 30148 31488 32800 35430 36900 37685 37792 38400 39360 42516 45222 47232 47240 48421 49200 52480 53145 56688 57600 59040 59050 60296 62976 65600 67833 70860 73800 75370 75584 78720 85032 88575 90444 94464 94480 96842 98400 104960 106290 113055 113376 115200 118080 118100 120592 131200 135666 141720 145263 147600 150740 151168 157440 170064 177150 180888 188425 188928 188960 193684 196800 212580 226110 226752 236160 236200 241184 242105 262400 265725 271332 283440 290526 295200 301480 302336 309017 314880 339165 340128 354300 361776 376850 377920 387368 393600 425160 435789 452220 453504 472320 472400 482368 484210 524800 531450 542664 565275 566880 581052 590400 602960 604672 618034 678330 680256 708600 723552 726315 753700 755840 774736 787200 850320 871578 904440 907008 927051 944640 944800 964736 968420 1062900 1085328 1130550 1133760 1162104 1180800 1205920 1210525 1236068 1356660 1360512 1417200 1447104 1452630 1507400 1511680 1545085 1549472 1574400 1695825 1700640 1743156 1808880 1814016 1854102 1889600 1929472 1936840 2125800 2170656 2178945 2261100 2267520 2324208 2361600 2411840 2421050 2472136 2713320 2721024 2781153 2834400 2894208 2905260 3014800 3023360 3090170 3098944 3391650 3401280 3486312 3617760 3631575 3708204 3779200 3858944 3873680 4251600 4341312 4357890 4522200 4535040 4635255 4648416 4723200 4823680 4842100 4944272 5426640 5442048 5562306 5668800 5788416 5810520 6029600 6180340 6197888 6783300 6802560 6972624 7235520 7263150 7416408 7558400 7725425 7747360 8503200 8682624 8715780 8901197 9044400 9070080 9270510 9296832 9647360 9684200 9888544 10853280 10894725 11124612 11337600 11576832 11621040 12059200 12360680 12395776 13566600 13605120 13905765 13945248 14471040 14526300 14832816 15116800 15450850 15494720 17006400 17365248 17431560 17802394 18088800 18541020 18593664 19294720 19368400 19777088 21706560 21789450 22249224 22675200 23176275 23242080 24118400 24721360 24791552 26703591 27133200 27210240 27811530 27890496 28942080 29052600 29665632 30901700 30989440 34012800 34730496 34863120 35604788 36177600 37082040 37187328 38736800 39554176 43413120 43578900 44498448 44505985 45350400 46352550 46484160 48236800 49442720 53407182 54266400 55623060 55780992 57884160 58105200 59331264 61803400 61978880 68025600 69528825 69726240 71209576 72355200 74164080 74374656 77473600 79108352 80110773 86826240 87157800 88996896 89011970 92705100 92968320 96473600 98885440 106814364 108532800 111246120 111561984 116210400 118662528 123606800 123957760 133517955 136051200 139057650 139452480 142419152 144710400 148328160 154947200 158216704 160221546 173652480 174315600 177993792 178023940 185410200 185936640 197770880 213628728 217065600 222492240 222529925 223123968 232420800 237325056 247213600 267035910 278115300 278904960 284838304 289420800 296656320 309894400 320443092 348631200 355987584 356047880 364949077 370820400 371873280 395541760 400553865 427257456 434131200 444984480 445059850 464841600 474650112 494427200 534071820 556230600 557809920 569676608 593312640 619788800 640886184 667589775 697262400 711975168 712095760 729898154 741640800 791083520 801107730 854514912 868262400 889968960 890119700 929683200 988854400 1068143640 1094847231 1112461200 1115619840 1139353216 1186625280 1281772368 1335179550 1394524800 1423950336 1424191520 1459796308 1483281600 1602215460 1709029824 1779937920 1780239400 1824745385 1859366400 1977708800 2002769325 2136287280 2189694462 2224922400 2278706432 2373250560 2563544736 2670359100 2789049600 2848383040 2919592616 2966563200 3204430920 3284541693 3418059648 3559875840 3560478800 3649490770 3955417600 4005538650 4272574560 4379388924 4449844800 4557412864 5127089472 5340718200 5474236155 5578099200 5696766080 5839185232 5933126400 6408861840 6569083386 6836119296 7119751680 7120957600 7298981540 8011077300 8545149120 8758777848 8899689600 9123726925 10254178944 10681436400 10948472310 11393532160 11678370464 11866252800 12817723680 13138166772 13672238592 14241915200 14597963080 16022154600 16422708465 17090298240 17517555696 17799379200 18247453850 20508357888 21362872800 21896944620 22787064320 23356740928 25635447360 26276333544 27371180775 28483830400 29195926160 32044309200 32845416930 34180596480 35035111392 35598758400 36494907700 41016715776 42725745600 43793889240 46713481856 51270894720 52552667088 54742361550 56967660800 58391852320 64088618400 65690833860 68361192960 70070222784 72989815400 82113542325 85451491200 87587778480 93426963712 102541789440 105105334176 109484723100 113935321600 116783704640 128177236800 131381667720 140140445568 145979630800 164227084650 170902982400 175175556960 186853927424 205083578880 210210668352 218969446200 233567409280 256354473600 262763335440 280280891136 291959261600 328454169300 341805964800 350351113920 420421336704 437938892400 467134818560 512708947200 525526670880 560561782272 583918523200 656908338600 700702227840 840842673408 875877784800 934269637120 1025417894400 1051053341760 1167837046400 1313816677200 1401404455680 1681685346816 1751755569600 2102106683520 2335674092800 2627633354400 2802808911360 3503511139200 4204213367040 4671348185600 5255266708800 7007022278400 8408426734080 10510533417600 14014044556800 21021066835200 42042133670400
- Sum of all divisors σ(n): 154277850694968
- Sum of proper divisors (its aliquot sum) s(n): 112235717024568
- 42042133670400 is an abundant number, because the sum of its proper divisors (112235717024568) is greater than itself. Its abundance is 70193583354168
Bases of 42042133670400
- Binary: 10011000111100101100100111000101101010000000002
- Hexadecimal: 0x263CB2716A00
- Base-36: EWHW0W3K0
Squares and roots of 42042133670400
- 42042133670400 squared (420421336704002) is 1767541003559781375836160000
- 42042133670400 cubed (420421336704003) is 74311195139573290840304259289841664000000
-
The
square root of 42042133670400 is 6483990.5668037489 -
The
cube root of 42042133670400 is 34771.8861959761
Scales and comparisons
How big is 42042133670400?- 42,042,133,670,400 seconds is equal to 1,336,809 years, 41 weeks, 6 days, 8 hours.
-
To count from 1 to 42,042,133,670,400 would take you about three million, three hundred forty-two thousand and twenty-four years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 42042133670400 cubic inches would be around 2897.7 feet tall.
Recreational maths with 42042133670400
- 42042133670400 backwards is 00407633124024
- 42042133670400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42042133670400's digits is 36
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42042133670400 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 42042133670400 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/42042133670400/
Chicago style:
Numbermatics. 2024. "Number 42042133670400 - Facts about the integer". https://numbermatics.com/n/42042133670400/
The information we have on file for 42042133670400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 42042133670400, math, Factors of 42042133670400, curriculum, school, college, exams, university, Prime factorization of 42042133670400, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, forty-two billion, one hundred thirty-three million, six hundred seventy thousand, four hundred.