13824980224000
13,824,980,224,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13824980224000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
13824980224000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13824980224000:
211 × 53 × 11 × 29 × 31 × 43 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 29 × 31 × 43 × 127)See below for interesting mathematical facts about the number 13824980224000 from the Numbermatics database.
Names of 13824980224000
- Cardinal: 13824980224000 can be written as Thirteen trillion, eight hundred twenty-four billion, nine hundred eighty million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.3824980224 × 1013
Factors of 13824980224000
Divisors of 13824980224000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 29 31 32 40 43 44 50 55 58 62 64 80 86 88 100 110 116 124 125 127 128 145 155 160 172 176 200 215 220 232 248 250 254 256 275 290 310 319 320 341 344 352 400 430 440 464 473 496 500 508 512 550 580 620 635 638 640 682 688 704 725 775 800 860 880 899 928 946 992 1000 1016 1024 1075 1100 1160 1240 1247 1270 1276 1280 1333 1364 1375 1376 1397 1408 1450 1550 1595 1600 1705 1720 1760 1798 1856 1892 1984 2000 2032 2048 2150 2200 2320 2365 2480 2494 2540 2552 2560 2666 2728 2750 2752 2794 2816 2900 3100 3175 3190 3200 3410 3440 3520 3596 3625 3683 3712 3784 3875 3937 3968 4000 4064 4300 4400 4495 4640 4730 4960 4988 5080 5104 5120 5332 5375 5456 5461 5500 5504 5588 5632 5800 6200 6235 6350 6380 6400 6665 6820 6880 6985 7040 7192 7250 7366 7424 7568 7750 7874 7936 7975 8000 8128 8525 8600 8800 8990 9280 9460 9889 9920 9976 10160 10208 10240 10664 10750 10912 10922 11000 11008 11176 11264 11600 11825 12400 12470 12700 12760 12800 13330 13640 13717 13760 13970 14080 14384 14500 14663 14732 14848 15136 15500 15748 15872 15875 15950 16000 16256 17050 17200 17600 17980 18415 18560 18920 19685 19778 19840 19952 20320 20416 21328 21500 21824 21844 22000 22016 22352 22475 22528 23200 23650 24800 24940 25400 25520 25600 26660 27280 27305 27434 27520 27940 28160 28768 29000 29326 29464 29696 30272 31000 31175 31496 31744 31750 31900 32000 32512 33325 34100 34400 34925 35200 35960 36830 37120 37840 38657 39370 39556 39680 39875 39904 40513 40640 40832 42625 42656 43000 43307 43648 43688 44000 44032 44704 44950 46400 47300 49445 49600 49880 50800 51040 51200 53320 54560 54610 54868 55040 55880 56320 57536 58000 58652 58928 59125 59392 60071 60544 62000 62350 62992 63488 63500 63800 64000 65024 66650 68200 68585 68800 69850 70400 71920 73315 73660 74240 75680 77314 78740 79112 79360 79750 79808 81026 81280 81664 85250 85312 86000 86614 87296 87376 88000 88064 89408 89900 92075 92800 94600 98425 98890 99200 99760 101600 102080 106640 109120 109220 109736 110080 111760 112375 112640 114173 115072 116000 117304 117856 118250 120142 121088 124000 124700 125984 127000 127600 128000 130048 133300 136400 136525 137170 137600 139700 140800 143840 146630 147320 148480 151360 154628 155875 157480 158224 158369 158720 159500 159616 162052 162560 163328 166625 169291 170500 170624 172000 173228 174592 174625 174752 176000 178816 179800 184150 185600 189200 193285 196850 197780 198400 199520 202565 203200 204160 213280 216535 218240 218440 219472 220160 223520 224750 228346 230144 232000 234608 235712 236500 240284 242176 247225 248000 249400 251968 254000 255200 256000 260096 266600 272800 273050 274340 275200 279400 281600 287680 293260 294640 296960 300355 302720 309256 311750 314960 316448 316738 317440 319000 319232 324104 325120 326656 333250 338582 341000 341248 342925 344000 346456 349184 349250 349504 352000 357632 359600 366575 368300 371200 378400 386570 393700 395560 396800 399040 405130 406400 408320 425227 426560 433070 436480 436880 438944 440320 447040 449500 456692 460288 460375 464000 469216 471424 473000 480568 484352 492125 494450 496000 498800 503936 508000 510400 533200 545600 546100 548680 550400 558800 563200 570865 575360 586520 589280 600710 605440 618512 623500 629920 632896 633476 638000 638464 648208 650240 653312 666500 677164 682000 682496 682625 685850 688000 692912 698368 698500 699008 704000 715264 719200 733150 736600 742400 756800 773140 787400 791120 791845 793600 798080 810260 812800 816640 846455 850454 853120 866140 872960 873760 877888 894080 899000 913384 920576 920750 928000 938432 942848 946000 961136 966425 968704 984250 988900 992000 997600 1007872 1012825 1016000 1020800 1066400 1082675 1091200 1092200 1097360 1100800 1117600 1141730 1150720 1173040 1178560 1201420 1210880 1236125 1237024 1247000 1255903 1259840 1265792 1266952 1276000 1276928 1296416 1300480 1333000 1354328 1364000 1364992 1365250 1371700 1376000 1385824 1397000 1398016 1408000 1430528 1438400 1466300 1473200 1484800 1501775 1513600 1546280 1574800 1582240 1583690 1587200 1596160 1620520 1625600 1633280 1692910 1700908 1706240 1714625 1732280 1742059 1745920 1747520 1755776 1788160 1798000 1826768 1832875 1841152 1841500 1856000 1862201 1876864 1885696 1892000 1922272 1932850 1968500 1977800 1984000 1995200 2015744 2025650 2032000 2041600 2126135 2132800 2165350 2182400 2184400 2194720 2201600 2235200 2283460 2301440 2346080 2357120 2402840 2421760 2472250 2474048 2494000 2511806 2519680 2531584 2533904 2552000 2553856 2592832 2666000 2708656 2728000 2729984 2730500 2743400 2752000 2771648 2794000 2796032 2816000 2854325 2861056 2876800 2932600 2946400 3003550 3027200 3092560 3149600 3164480 3167380 3192320 3241040 3251200 3266560 3385820 3401816 3412480 3429250 3464560 3484118 3491840 3495040 3511552 3576320 3596000 3653536 3665750 3683000 3712000 3724402 3753728 3771392 3784000 3844544 3865700 3937000 3955600 3959225 3968000 3990400 4031488 4051300 4064000 4083200 4232275 4252270 4265600 4330700 4364800 4368800 4389440 4470400 4566920 4602880 4692160 4714240 4805680 4832125 4843520 4909439 4944500 4948096 4988000 5023612 5039360 5063168 5064125 5067808 5104000 5185664 5332000 5413375 5417312 5456000 5461000 5486800 5504000 5543296 5588000 5592064 5708650 5753600 5865200 5892800 6007100 6054400 6185120 6279515 6299200 6328960 6334760 6384640 6482080 6502400 6771640 6803632 6824960 6858500 6929120 6968236 6990080 7023104 7152640 7192000 7307072 7331500 7366000 7424000 7448804 7507456 7508875 7542784 7568000 7689088 7731400 7874000 7911200 7918450 7936000 7980800 8062976 8102600 8128000 8166400 8464550 8504540 8531200 8661400 8710295 8729600 8737600 8778880 8940800 9133840 9205760 9311005 9384320 9428480 9611360 9664250 9818878 9889000 9896192 9976000 10047224 10078720 10126336 10128250 10135616 10208000 10371328 10630675 10664000 10826750 10834624 10912000 10922000 10973600 11008000 11086592 11176000 11184128 11417300 11507200 11730400 11785600 12014200 12108800 12370240 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34645600 34841180 34950400 35115520 35763200 36535360 37244020 37537280 37713920 38445440 38657000 39275512 39556000 39584768 39592250 39904000 40188896 40314880 40513000 40542464 40832000 41485312 42322750 42522700 42656000 43307000 43338496 43551475 43648000 43688000 43894400 44346368 44704000 45669200 46028800 46555025 46921600 47142400 48056800 49094390 49480960 50236120 50393600 50631680 50678080 51856640 53153375 54003829 54173120 54429056 54868000 55432960 55745888 55920640 57086500 57536000 58456576 58652000 58928000 59590432 60071000 60544000 61512704 61851200 62795150 62992000 63289600 63347600 63846400 64820800 67716400 68036320 68249600 69291200 69682360 69900800 70231040 71526400 73070720 74488040 75074560 76890880 77314000 78551024 79112000 79169536 79184500 79808000 80377792 81026000 81084928 81664000 82970624 84645500 85045400 85312000 86614000 86676992 87102950 87296000 87376000 87788800 88692736 89408000 91338400 93110050 93843200 94284800 96113600 98188780 98961920 100472240 100787200 101263360 101356160 103713280 106306750 108007658 108346240 108858112 109736000 110865920 111491776 114173000 115072000 116913152 117304000 117856000 119180864 120142000 121088000 122735975 123025408 123702400 125590300 125984000 126579200 126695200 129641600 135432800 136072640 138582400 139364720 139801600 140462080 146141440 148976080 150149120 153781760 154628000 156987875 157102048 158224000 158369000 159616000 160755584 162052000 162169856 169291000 170090800 170624000 173228000 173353984 174205900 174752000 175577600 178816000 182676800 186220100 187686400 188569600 192227200 196377560 197923840 200944480 201574400 202712320 207426560 212613500 216015316 216692480 217716224 217757375 219472000 221731840 222983552 228346000 230144000 232775125 233826304 234608000 235712000 238361728 240284000 245471950 247404800 251180600 251968000 253158400 253390400 259283200 270019145 270865600 272145280 277164800 278729440 279603200 292282880 297952160 307563520 309256000 313975750 314204096 316448000 316738000 319232000 321511168 324104000 324339712 338582000 340181600 341248000 346456000 346707968 348411800 349504000 351155200 357632000 365353600 372440200 375372800 384454400 392755120 395847680 401888960 405424640 414853120 425227000 432030632 433384960 435432448 435514750 438944000 443463680 445967104 456692000 465550250 469216000 471424000 476723456 480568000 490943900 494809600 502361200 503936000 506316800 506780800 518566400 540038290 541731200 544290560 554329600 557458880 584565760 595904320 613679875 615127040 618512000 627951500 628408192 632896000 633476000 643022336 648208000 677164000 680363200 692912000 696823600 699008000 702310400 730707200 744880400 750745600 768908800 785510240 803777920 810849280 850454000 864061264 866769920 870864896 871029500 877888000 891934208 913384000 931100500 938432000 942848000 953446912 961136000 981887800 989619200 1004722400 1007872000 1013561600 1037132800 1080076580 1083462400 1088581120 1108659200 1114917760 1169131520 1191808640 1227359750 1237024000 1255903000 1256816384 1265792000 1266952000 1286044672 1296416000 1350095725 1354328000 1360726400 1385824000 1393647200 1398016000 1461414400 1489760800 1537817600 1571020480 1607555840 1621698560 1700908000 1728122528 1733539840 1742059000 1755776000 1783868416 1826768000 1862201000 1876864000 1906893824 1922272000 1963775600 1979238400 2009444800 2027123200 2074265600 2160153160 2166924800 2177162240 2217318400 2229835520 2383617280 2454719500 2474048000 2511806000 2513632768 2531584000 2533904000 2572089344 2592832000 2700191450 2708656000 2721452800 2771648000 2787294400 2922828800 2979521600 3075635200 3142040960 3215111680 3401816000 3456245056 3484118000 3511552000 3567736832 3653536000 3724402000 3753728000 3813787648 3844544000 3927551200 4018889600 4054246400 4320306320 4333849600 4354324480 4459671040 4767234560 4909439000 4948096000 5023612000 5027265536 5067808000 5185664000 5400382900 5417312000 5442905600 5543296000 5574588800 5845657600 5959043200 6284081920 6430223360 6750478625 6803632000 6912490112 6968236000 7307072000 7448804000 7689088000 7855102400 8037779200 8108492800 8640612640 8667699200 8919342080 9534469120 9818878000 9896192000 10047224000 10054531072 10135616000 10371328000 10800765800 10834624000 10885811200 11086592000 11149177600 11918086400 12568163840 12860446720 13500957250 13607264000 13824980224 13936472000 14614144000 14897608000 15378176000 15710204800 16075558400 17281225280 17838684160 19068938240 19637756000 20094448000 20271232000 21601531600 21669248000 21771622400 22298355200 23836172800 25136327680 27001914500 27214528000 27649960448 27872944000 29228288000 29795216000 31420409600 32151116800 34562450560 39275512000 40188896000 40542464000 43203063200 43338496000 44596710400 47672345600 50272655360 54003829000 54429056000 55299920896 55745888000 59590432000 62840819200 64302233600 69124901120 78551024000 80377792000 86406126400 89193420800 95344691200 108007658000 108858112000 110599841792 111491776000 119180864000 125681638400 138249802240 157102048000 160755584000 172812252800 216015316000 222983552000 238361728000 251363276800 276499604480 314204096000 321511168000 345624505600 432030632000 445967104000 476723456000 552999208960 628408192000 691249011200 864061264000 1256816384000 1382498022400 1728122528000 2764996044800 3456245056000 6912490112000 13824980224000
- Sum of all divisors σ(n): 41447050444800
- Sum of proper divisors (its aliquot sum) s(n): 27622070220800
- 13824980224000 is an abundant number, because the sum of its proper divisors (27622070220800) is greater than itself. Its abundance is 13797089996800
Bases of 13824980224000
- Binary: 110010010010111000010000100100001000000000002
- Hexadecimal: 0xC92E1090800
- Base-36: 4WF3W9WCG
Squares and roots of 13824980224000
- 13824980224000 squared (138249802240002) is 191130078193991090176000000
- 13824980224000 cubed (138249802240003) is 2642369551243500457315400679424000000000
-
The
square root of 13824980224000 is 3718195.8291623103 -
The
cube root of 13824980224000 is 24000.5672458521
Scales and comparisons
How big is 13824980224000?- 13,824,980,224,000 seconds is equal to 439,591 years, 31 weeks, 4 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,824,980,224,000 would take you about one million, ninety-eight thousand, nine hundred seventy-nine 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 13824980224000 cubic inches would be around 2000 feet tall.
Recreational maths with 13824980224000
- 13824980224000 backwards is 00042208942831
- 13824980224000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13824980224000's digits is 43
- More coming soon!
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"Number 13824980224000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 13824980224000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13824980224000/
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The information we have on file for 13824980224000 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!
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