12829041688320
12,829,041,688,320 is an even composite number composed of six prime numbers multiplied together.
12829041688320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 12829041688320:
28 × 35 × 5 × 112 × 132 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 13 × 13 × 2017)See below for interesting mathematical facts about the number 12829041688320 from the Numbermatics database.
Names of 12829041688320
- Cardinal: 12829041688320 can be written as Twelve trillion, eight hundred twenty-nine billion, forty-one million, six hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.282904168832 × 1013
Factors of 12829041688320
Divisors of 12829041688320
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 32 33 36 39 40 44 45 48 52 54 55 60 64 65 66 72 78 80 81 88 90 96 99 104 108 110 117 120 121 128 130 132 135 143 144 156 160 162 165 169 176 180 192 195 198 208 216 220 234 240 242 243 256 260 264 270 286 288 297 312 320 324 330 338 351 352 360 363 384 390 396 405 416 429 432 440 468 480 484 486 495 507 520 528 540 572 576 585 594 605 624 640 648 660 676 702 704 715 720 726 768 780 792 810 832 845 858 864 880 891 936 960 968 972 990 1014 1040 1053 1056 1080 1089 1144 1152 1170 1188 1210 1215 1248 1280 1287 1296 1320 1352 1404 1408 1430 1440 1452 1485 1521 1560 1573 1584 1620 1664 1690 1716 1728 1755 1760 1782 1815 1859 1872 1920 1936 1944 1980 2017 2028 2080 2106 2112 2145 2160 2178 2288 2304 2340 2376 2420 2430 2496 2535 2574 2592 2640 2673 2704 2808 2816 2860 2880 2904 2970 3042 3120 3146 3159 3168 3240 3267 3328 3380 3432 3456 3510 3520 3564 3630 3718 3744 3840 3861 3872 3888 3960 4034 4056 4160 4212 4224 4290 4320 4356 4455 4563 4576 4680 4719 4752 4840 4860 4992 5070 5148 5184 5265 5280 5346 5408 5445 5577 5616 5720 5760 5808 5940 6051 6084 6240 6292 6318 6336 6435 6480 6534 6760 6864 6912 7020 7040 7128 7260 7436 7488 7605 7722 7744 7776 7865 7920 8068 8112 8320 8424 8448 8580 8640 8712 8910 9126 9152 9295 9360 9438 9504 9680 9720 9801 9984 10085 10140 10296 10368 10530 10560 10692 10816 10890 11154 11232 11440 11520 11583 11616 11880 12102 12168 12480 12584 12636 12672 12870 12960 13068 13365 13520 13689 13728 14040 14080 14157 14256 14520 14872 14976 15210 15444 15488 15552 15730 15795 15840 16136 16224 16335 16640 16731 16848 17160 17280 17424 17820 18153 18252 18304 18590 18720 18876 19008 19305 19360 19440 19602 20170 20280 20449 20592 20736 21060 21120 21384 21632 21780 22187 22308 22464 22815 22880 23166 23232 23595 23760 24204 24336 24960 25168 25272 25344 25740 25920 26136 26221 26730 27040 27378 27456 27885 28080 28314 28512 29040 29403 29744 29952 30255 30420 30888 30976 31104 31460 31590 31680 32272 32448 32670 33462 33696 34320 34560 34749 34848 35640 36306 36504 36608 37180 37440 37752 38016 38610 38720 38880 39204 40340 40560 40898 41067 41184 42120 42240 42471 42768 43264 43560 44374 44616 44928 45630 45760 46332 46464 47190 47520 48408 48672 49005 49920 50193 50336 50544 51480 51840 52272 52442 53460 54080 54459 54756 54912 55770 56160 56628 57024 57915 58080 58806 59488 60510 60840 61347 61776 62208 62920 63180 63360 64544 64896 65340 66561 66924 67392 68445 68640 69498 69696 70785 71280 72612 73008 74360 74880 75504 76032 77220 77440 77760 78408 78663 80680 81120 81796 82134 82368 83655 84240 84942 85536 87120 88748 89232 89856 90765 91260 91520 92664 92928 94380 95040 96816 97344 98010 100386 100672 101088 102245 102960 103680 104544 104884 106920 108160 108918 109512 109824 110935 111540 112320 113256 114048 115830 116160 117612 118976 121020 121680 122694 123552 125840 126360 126720 127413 129088 129792 130680 131105 133122 133848 134784 136890 137280 138996 139392 141570 142560 145224 146016 147015 148720 149760 150579 151008 154440 154880 155520 156816 157326 161360 162240 163377 163592 164268 164736 167310 168480 169884 171072 173745 174240 177496 178464 181530 182520 183040 184041 185328 188760 190080 193632 194688 196020 199683 200772 201344 202176 204490 205335 205920 209088 209768 212355 213840 216320 217836 219024 221870 223080 224640 226512 228096 231660 232320 235224 235989 237952 242040 243360 244057 245388 247104 250965 251680 252720 254826 258176 261360 262210 266244 267696 269568 272295 273780 274560 277992 278784 283140 285120 288431 290448 292032 294030 297440 301158 302016 306735 308880 311040 313632 314652 322720 324480 326754 327184 328536 329472 332805 334620 336960 339768 340873 342144 347490 348480 354992 356928 363060 365040 368082 370656 377520 380160 382239 387264 389376 392040 393315 399366 401544 402688 404352 408980 410670 411840 418176 419536 424710 427680 435672 438048 443740 446160 449280 451737 453024 463320 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406110848 407788992 412456330 414160695 415340640 421730496 424030464 428320035 431315280 436317440 441771408 449952360 453098880 456874704 460069632 467258220 468589440 474446808 479949184 489265920 490857120 494947596 498408768 506196405 507638560 509736240 513984042 527163120 530038080 539942832 543718656 552214260 553787520 560709864 562307328 571093380 575087040 578223360 589028544 593058510 599936480 607435686 609166272 618684495 623010960 627367680 632595744 636045696 654476160 659930128 662657112 664545024 674928540 679648320 685312056 690104448 700887330 702884160 706717440 719923776 736285680 742421394 747613152 761457840 766782720 770976063 785371392 790744680 795057120 809914248 812221696 815577984 824912660 828321390 830681280 843460992 856640070 862630560 883542816 899904720 906197760 911153529 913749408 934516440 937178880 948893616 959898368 981714240 989895192 996817536 1012392810 1015277120 1019472480 1027968084 1054326240 1060076160 1079885664 1104428520 1107575040 1113632091 1121419728 1142186760 1150174080 1178057088 1186117020 1199872960 1214871372 1218332544 1237368990 1246021920 1265191488 1272091392 1284960105 1308952320 1319860256 1325314224 1349857080 1359296640 1370624112 1380208896 1401774660 1405768320 1439847552 1472571360 1484842788 1495226304 1518589215 1522915680 1541952126 1581489360 1590114240 1619828496 1631155968 1649825320 1656642780 1661362560 1686921984 1713280140 1725261120 1767085632 1799809440 1822307058 1827498816 1856053485 1869032880 1897787232 1963428480 1979790384 1993635072 2024785620 2030554240 2038944960 2055936168 2108652480 2120152320 2159771328 2208857040 2227264182 2242839456 2284373520 2300348160 2356114176 2372234040 2399745920 2429742744 2436665088 2474737980 2492043840 2530382976 2569920210 2639720512 2650628448 2699714160 2718593280 2741248224 2803549320 2811536640 2879695104 2945142720 2969685576 2990452608 3037178430 3045831360 3083904252 3162978720 3180228480 3239656992 3299650640 3313285560 3322725120 3340896273 3426560280 3450522240 3534171264 3599618880 3644614116 3654997632 3712106970 3738065760 3795574464 3854880315 3926856960 3959580768 4049571240 4061108480 4077889920 4111872336 4217304960 4319542656 4417714080 4454528364 4485678912 4555767645 4568747040 4744468080 4799491840 4859485488 4949475960 4984087680 5060765952 5139840420 5279441024 5301256896 5399428320 5482496448 5568160455 5607098640 5890285440 5939371152 5980905216 6074356860 6091662720 6167808504 6325957440 6360456960 6479313984 6599301280 6626571120 6681792546 6853120560 6901044480 7068342528 7199237760 7289228232 7309995264 7424213940 7476131520 7591148928 7709760630 7919161536 8099142480 8155779840 8223744672 8434609920 8639085312 8835428160 8909056728 8971357824 9111535290 9137494080 9488936160 9718970976 9898951920 9968175360 10022688819 10279680840 10558882048 10602513792 10798856640 10964992896 11136320910 11214197280 11780570880 11878742304 12148713720 12183325440 12335617008 12651914880 12958627968 13198602560 13253142240 13363585092 13706241120 14398475520 14578456464 14848427880 14952263040 15182297856 15419521260 15838323072 16198284960 16447489344 16704481365 17670856320 17818113456 17942715648 18223070580 18274988160 18977872320 19437941952 19797903840 20045377638 20559361680 21205027584 21597713280 21929985792 22272641820 22428394560 23757484608 24297427440 24671234016 25303829760 25917255936 26397205120 26506284480 26727170184 27412482240 29156912928 29696855760 29904526080 30839042520 31676646144 32396569920 32894978688 33408962730 35341712640 35636226912 36446141160 36549976320 37955744640 38875883904 39595807680 40090755276 41118723360 43195426560 44545283640 44856789120 47514969216 48594854880 49342468032 50113444095 52794410240 53012568960 53454340368 54824964480 58313825856 59393711520 61678085040 64793139840 65789957376 66817925460 71272453824 72892282320 75911489280 77751767808 79191615360 80181510552 82237446720 89090567280 89713578240 95029938432 97189709760 98684936064 100226888190 106025137920 106908680736 109649928960 116627651712 118787423040 123356170080 129586279680 133635850920 142544907648 145784564640 158383230720 160363021104 164474893440 178181134560 194379419520 197369872128 200453776380 213817361472 233255303424 237574846080 246712340160 267271701840 285089815296 291569129280 320726042208 328949786880 356362269120 388758839040 400907552760 427634722944 475149692160 493424680320 534543403680 583138258560 641452084416 712724538240 801815105520 855269445888 986849360640 1069086807360 1166276517120 1282904168832 1425449076480 1603630211040 2138173614720 2565808337664 3207260422080 4276347229440 6414520844160 12829041688320
- Sum of all divisors σ(n): 54814748618448
- Sum of proper divisors (its aliquot sum) s(n): 41985706930128
- 12829041688320 is an abundant number, because the sum of its proper divisors (41985706930128) is greater than itself. Its abundance is 29156665241808
Bases of 12829041688320
- Binary: 101110101010111111100111100011111111000000002
- Hexadecimal: 0xBAAFE78FF00
- Base-36: 4JPKW6O00
Squares and roots of 12829041688320
- 12829041688320 squared (128290416883202) is 164584310640652476024422400
- 12829041688320 cubed (128290416883203) is 2111458982452339581842744268048826368000
-
The
square root of 12829041688320 is 3581765.1637593439 -
The
cube root of 12829041688320 is 23409.8198784829
Scales and comparisons
How big is 12829041688320?- 12,829,041,688,320 seconds is equal to 407,923 years, 43 weeks, 5 days, 19 hours, 12 minutes.
-
To count from 1 to 12,829,041,688,320 would take you about one million, nineteen thousand, eight hundred 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 12829041688320 cubic inches would be around 1950.8 feet tall.
Recreational maths with 12829041688320
- 12829041688320 backwards is 02388614092821
- 12829041688320 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12829041688320's digits is 54
- More coming soon!
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"Number 12829041688320 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 12829041688320 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/12829041688320/
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The information we have on file for 12829041688320 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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