213423729530400
213,423,729,530,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 213423729530400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1620 divisors.
213423729530400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 213423729530400:
25 × 314 × 52 × 172 × 193
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 193)See below for interesting mathematical facts about the number 213423729530400 from the Numbermatics database.
Names of 213423729530400
- Cardinal: 213423729530400 can be written as Two hundred thirteen trillion, four hundred twenty-three billion, seven hundred twenty-nine million, five hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 2.134237295304 × 1014
Factors of 213423729530400
Divisors of 213423729530400
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 68 72 75 80 81 85 90 96 100 102 108 120 135 136 144 150 153 160 162 170 180 193 200 204 216 225 240 243 255 270 272 288 289 300 306 324 340 360 386 400 405 408 425 432 450 459 480 486 510 540 544 578 579 600 612 648 675 680 720 729 765 772 800 810 816 850 864 867 900 918 965 972 1020 1080 1156 1158 1200 1215 1224 1275 1296 1350 1360 1377 1440 1445 1458 1530 1544 1620 1632 1700 1734 1737 1800 1836 1930 1944 2025 2040 2160 2187 2295 2312 2316 2400 2430 2448 2550 2592 2601 2700 2720 2754 2890 2895 2916 3060 3088 3240 3281 3400 3468 3474 3600 3645 3672 3825 3860 3888 4050 4080 4131 4320 4335 4374 4590 4624 4632 4825 4860 4896 5100 5202 5211 5400 5508 5780 5790 5832 6075 6120 6176 6480 6561 6562 6800 6885 6936 6948 7200 7225 7290 7344 7650 7720 7776 7803 8100 8160 8262 8670 8685 8748 9180 9248 9264 9650 9720 9843 10200 10404 10422 10800 10935 11016 11475 11560 11580 11664 12150 12240 12393 12960 13005 13122 13124 13600 13770 13872 13896 14450 14475 14580 14688 15300 15440 15606 15633 16200 16405 16524 17340 17370 17496 18225 18360 18528 19300 19440 19683 19686 20400 20655 20808 20844 21600 21675 21870 22032 22950 23120 23160 23328 23409 24300 24480 24786 26010 26055 26244 26248 27540 27744 27792 28900 28950 29160 29529 30600 30880 31212 31266 32400 32805 32810 33048 34425 34680 34740 34992 36450 36720 37179 38600 38880 39015 39366 39372 40800 41310 41616 41688 43350 43425 43740 44064 45900 46240 46320 46818 46899 48600 49215 49572 52020 52110 52488 52496 54675 55080 55584 55777 57800 57900 58320 59049 59058 61200 61965 62424 62532 64800 65025 65610 65620 66096 68850 69360 69480 69984 70227 72900 73440 74358 77200 78030 78165 78732 78744 82025 82620 83232 83376 86700 86850 87480 88587 91800 92640 93636 93798 97200 98415 98430 99144 103275 104040 104220 104976 104992 109350 110160 111537 111554 115600 115800 116640 117045 118098 118116 122400 123930 124848 125064 130050 130275 131220 131240 132192 137700 138720 138960 140454 140697 145800 147645 148716 154400 156060 156330 157464 157488 164025 164050 165240 166752 167331 173400 173700 174960 177147 177174 183600 185895 187272 187596 194400 195075 196830 196860 198288 206550 208080 208440 209952 210681 218700 220320 223074 223108 231200 231600 234090 234495 236196 236232 246075 247860 249696 250128 260100 260550 262440 262480 265761 275400 277920 278885 280908 281394 291600 295245 295290 297432 309825 312120 312660 314928 314976 328050 328100 330480 334611 334662 346800 347400 349920 351135 354294 354348 367200 371790 374544 375192 390150 390825 393660 393720 396576 413100 416160 416880 421362 422091 437400 442935 446148 446216 463200 468180 468990 472392 472464 492075 492150 495720 500256 501993 520200 521100 524880 524960 531441 531522 550800 557685 557770 561816 562788 583200 585225 590490 590580 594864 619650 624240 625320 629856 632043 656100 656200 660960 669222 669324 693600 694800 702270 703485 708588 708696 738225 743580 749088 750384 780300 781650 787320 787440 797283 826200 833760 836655 842724 844182 874800 885735 885870 892296 892432 929475 936360 937980 944784 944928 984150 984300 991440 1003833 1003986 1040400 1042200 1049760 1053405 1062882 1063044 1101600 1115370 1115540 1123632 1125576 1170450 1172475 1180980 1181160 1189728 1239300 1248480 1250640 1264086 1266273 1312200 1312400 1328805 1338444 1338648 1389600 1394425 1404540 1406970 1417176 1417392 1476225 1476450 1487160 1500768 1505979 1560600 1563300 1574640 1574880 1594323 1594566 1652400 1673055 1673310 1685448 1688364 1749600 1755675 1771470 1771740 1784592 1784864 1858950 1872720 1875960 1889568 1896129 1968300 1968600 1982880 2007666 2007972 2080800 2084400 2106810 2110455 2125764 2126088 2214675 2230740 2231080 2247264 2251152 2340900 2344950 2361960 2362320 2391849 2478600 2501280 2509965 2528172 2532546 2624400 2624800 2657205 2657610 2676888 2677296 2788425 2788850 2809080 2813940 2834352 2834784 2952450 2952900 2974320 3011499 3011958 3121200 3126600 3149280 3160215 3188646 3189132 3304800 3346110 3346620 3370896 3376728 3511350 3517425 3542940 3543480 3569184 3717900 3745440 3751920 3792258 3798819 3936600 3937200 3986415 4015332 4015944 4168800 4183275 4213620 4220910 4251528 4252176 4428675 4429350 4461480 4462160 4502304 4517937 4681800 4689900 4723920 4724640 4782969 4783698 4957200 5019165 5019930 5056344 5065092 5248800 5267025 5314410 5315220 5353776 5354592 5576850 5577700 5618160 5627880 5668704 5688387 5904900 5905800 5948640 6022998 6023916 6242400 6253200 6320430 6331365 6377292 6378264 6644025 6692220 6693240 6741792 6753456 7022700 7034850 7085880 7086960 7175547 7435800 7503840 7529895 7584516 7597638 7873200 7874400 7971615 7972830 8030664 8031888 8365275 8366550 8427240 8441820 8503056 8504352 8857350 8858700 8922960 8924320 9034497 9035874 9363600 9379800 9447840 9480645 9565938 9567396 9914400 10038330 10039860 10112688 10130184 10534050 10552275 10628820 10630440 10707552 11153700 11155400 11236320 11255760 11376774 11396457 11809800 11811600 11959245 12045996 12047832 12506400 12549825 12640860 12662730 12754584 12756528 13286025 13288050 13384440 13386480 13506912 13553811 14045400 14069700 14171760 14173920 14351094 14871600 15057495 15059790 15169032 15195276 15746400 15801075 15943230 15945660 16061328 16063776 16730550 16733100 16854480 16883640 17006112 17065161 17714700 17717400 17845920 18068994 18071748 18727200 18759600 18961290 18994095 19131876 19134792 19932075 20076660 20079720 20225376 20260368 21068100 21104550 21257640 21260880 21526641 22307400 22310800 22511520 22589685 22753548 22792914 23619600 23623200 23914845 23918490 24091992 24095664 25095825 25099650 25281720 25325460 25509168 25513056 26572050 26576100 26768880 26772960 27103491 27107622 28090800 28139400 28343520 28441935 28702188 29743200 30114990 30119580 30338064 30390552 31602150 31656825 31886460 31891320 32122656 33461100 33466200 33708960 33767280 34130322 34189371 35429400 35434800 35877735 36137988 36143496 37519200 37649475 37922580 37988190 38263752 38269584 39858075 39864150 40153320 40159440 40520736 40661433 42136200 42209100 42515280 42521760 43053282 44614800 44621600 45172485 45179370 45507096 45585828 47239200 47403225 47829690 47836980 48183984 48191328 50191650 50199300 50563440 50650920 51018336 51195483 53144100 53152200 53537760 54206982 54215244 56181600 56278800 56883870 56982285 57404376 59796225 60229980 60239160 60676128 60781104 63204300 63313650 63772920 63782640 64579923 66922200 66932400 67534560 67769055 68260644 68378742 70858800 70869600 71755470 72275976 72286992 75287475 75298950 75845160 75976380 76527504 76539168 79716150 79728300 80306640 80318880 81310473 81322866 84272400 84418200 85030560 85325805 86106564 89229600 90344970 90358740 91014192 91171656 94806450 94970475 95659380 95673960 96367968 100383300 100398600 101126880 101301840 102390966 102568113 106288200 106304400 107633205 108413964 108430488 112557600 112948425 113767740 113964570 114808752 119574225 119592450 120459960 120478320 121562208 121984299 126408600 126627300 127545840 127565280 129159846 133844400 133864800 135517455 135538110 136521288 136757484 141717600 142209675 143510940 144551952 144573984 150574950 150597900 151690320 151952760 153055008 153586449 159432300 159456600 160613280 162620946 162645732 168544800 168836400 170651610 170946855 172213128 179388675 180689940 180717480 182028384 182343312 189612900 189940950 191318760 191347920 193739769 200766600 200797200 202603680 203307165 204781932 205136226 212576400 212608800 215266410 216827928 216860976 225862425 225896850 227535480 227929140 229617504 239148450 239184900 240919920 240956640 243968598 252817200 253254600 255091680 255977415 258319692 267688800 271034910 271076220 273042576 273514968 284419350 284911425 287021880 289103904 301149900 301195800 303380640 303905520 307172898 307704339 318864600 318913200 322899615 325241892 325291464 337672800 338845275 341303220 341893710 344426256 358777350 361379880 361434960 364686624 365952897 379225800 379881900 382637520 382695840 387479538 401533200 401594400 406552365 406614330 409563864 410272452 425152800 426629025 430532820 433655856 433721952 451724850 451793700 455070960 455858280 460759347 478296900 478369800 481839840 487937196 505634400 506509200 511954830 512840565 516639384 538166025 542069820 542152440 546085152 547029936 568838700 569822850 574043760 581219307 602299800 602391600 607811040 609921495 614345796 615408678 637729200 637826400 645799230 650483784 650582928 677587275 677690550 682606440 683787420 688852512 717554700 722759760 722869920 731905794 758451600 759763800 765275040 767932245 774959076 803066400 813104730 813228660 819127728 820544904 853258050 854734275 861065640 867311712 903449700 903587400 910141920 911716560 921518694 923113017 956593800 956739600 968698845 975874392 1013018400 1016535825 1023909660 1025681130 1033278768 1076332050 1084139640 1084304880 1094059872 1097858691 1137677400 1139645700 1148087520 1162438614 1204599600 1204783200 1219842990 1228691592 1230817356 1275458400 1279887075 1291598460 1300967568 1301165856 1355174550 1355381100 1365212880 1367574840 1382278041 1435109400 1445519520 1463811588 1516903200 1519527600 1535864490 1538521695 1549918152 1614498075 1626209460 1626457320 1638255456 1641089808 1706516100 1709468550 1722131280 1743657921 1806899400 1807174800 1823433120 1829764485 1843037388 1846226034 1913187600 1913479200 1937397690 1951748784 2032761825 2033071650 2047819320 2051362260 2066557536 2152664100 2168279280 2168609760 2195717382 2275354800 2279291400 2303796735 2324877228 2409199200 2439685980 2457383184 2461634712 2559774150 2564202825 2583196920 2601935136 2710349100 2710762200 2730425760 2735149680 2764556082 2870218800 2906096535 2927623176 3039055200 3049607475 3071728980 3077043390 3099836304 3228996150 3252418920 3252914640 3282179616 3293576073 3413032200 3418937100 3444262560 3487315842 3613798800 3614349600 3659528970 3686074776 3692452068 3826375200 3839661225 3874795380 3903497568 4065523650 4066143300 4095638640 4102724520 4305328200 4336558560 4391434764 4550709600 4558582800 4607593470 4615565085 4649754456 4843494225 4879371960 4914766368 4923269424 5119548300 5128405650 5166393840 5230973763 5420698200 5421524400 5470299360 5489293455 5529112164 5740437600 5812193070 5855246352 6099214950 6143457960 6154086780 6199672608 6457992300 6504837840 6505829280 6587152146 6826064400 6837874200 6911390205 6974631684 7227597600 7319057940 7372149552 7384904136 7679322450 7692608475 7749590760 8131047300 8132286600 8191277280 8205449040 8610656400 8718289605 8782869528 9117165600 9148822425 9215186940 9231130170 9299508912 9686988450 9758743920 9846538848 9880728219 10239096600 10256811300 10332787680 10461947526 10841396400 10843048800 10978586910 11058224328 11518983675 11624386140 11710492704 12198429900 12286915920 12308173560 12915984600 13009675680 13174304292 13652128800 13675748400 13822780410 13949263368 14530482675 14638115880 14744299104 14769808272 15358644900 15385216950 15499181520 15692921289 16262094600 16264573200 16410898080 16467880365 17221312800 17436579210 17565739056 18297644850 18430373880 18462260340 18599017824 19373976900 19517487840 19761456438 20478193200 20513622600 20923895052 21682792800 21957173820 22116448656 23037967350 23077825425 23248772280 24396859800 24573831840 24616347120 25831969200 26154868815 26348608584 27351496800 27446467275 27645560820 27898526736 29060965350 29276231760 29539616544 29642184657 30717289800 30770433900 30998363040 31385842578 32524189200 32529146400 32935760730 34556951025 34873158420 35131478112 36595289700 36860747760 36924520680 38747953800 39522912876 40956386400 41027245200 41847790104 43591448025 43914347640 44232897312 46075934700 46155650850 46497544560 48793719600 49232694240 49403641095 51663938400 52309737630 52697217168 54892934550 55291121640 55797053472 58121930700 58552463520 59284369314 61434579600 61540867800 62771685156 65048378400 65871521460 69113902050 69746316840 73190579400 73721495520 73849041360 77495907600 78464606445 79045825752 82054490400 82339401825 83695580208 87182896050 87828695280 88926553971 92151869400 92311301700 92995089120 97587439200 98807282190 104619475260 105394434336 109785869100 110582243280 116243861400 118568738628 122869159200 123081735600 125543370312 130774344075 131743042920 138227804100 139492633680 146381158800 147698082720 148210923285 154991815200 156929212890 158091651504 164678803650 167391160416 174365792100 175657390560 177853107942 184303738800 184622603400 197614564380 209238950520 219571738200 221164486560 232487722800 237137477256 246163471200 247018205475 251086740624 261548688150 263486085840 266779661913 276455608200 278985267360 292762317600 296421846570 313858425780 316183303008 329357607300 348731584200 355706215884 368607477600 369245206800 392323032225 395229128760 418477901040 439143476400 444632769855 464975445600 474274954512 494036410950 502173481248 523097376300 526972171680 533559323826 552911216400 592843693140 627716851560 658715214600 697463168400 711412431768 738490413600 741054616425 784646064450 790458257520 836955802080 878286952800 889265539710 948549909024 988072821900 1046194752600 1067118647652 1105822432800 1185687386280 1255433703120 1317430429200 1333898309565 1394926336800 1422824863536 1482109232850 1569292128900 1580916515040 1778531079420 1976145643800 2092389505200 2134237295304 2223163849275 2371374772560 2510867406240 2634860858400 2667796619130 2845649727072 2964218465700 3138584257800 3557062158840 3952291287600 4184779010400 4268474590608 4446327698550 4742749545120 5335593238260 5928436931400 6277168515600 6669491547825 7114124317680 7904582575200 8536949181216 8892655397100 10671186476520 11856873862800 12554337031200 13338983095650 14228248635360 17785310794200 21342372953040 23713747725600 26677966191300 35570621588400 42684745906080 53355932382600 71141243176800 106711864765200 213423729530400
- Sum of all divisors σ(n): 834509228174622
- Sum of proper divisors (its aliquot sum) s(n): 621085498644222
- 213423729530400 is an abundant number, because the sum of its proper divisors (621085498644222) is greater than itself. Its abundance is 407661769113822
Bases of 213423729530400
- Binary: 1100001000011011100101011001010111010110001000002
- Hexadecimal: 0xC21B9595D620
- Base-36: 23NHIA4I00
Squares and roots of 213423729530400
- 213423729530400 squared (2134237295304002) is 45549688326665333004524160000
- 213423729530400 cubed (2134237295304003) is 9721384361624240193315612723392254464000000
-
The
square root of 213423729530400 is 14609029.0413292013 -
The
cube root of 213423729530400 is 59760.5017195503
Scales and comparisons
How big is 213423729530400?- 213,423,729,530,400 seconds is equal to 6,786,214 years, 22 weeks, 4 days, 18 hours.
-
To count from 1 to 213,423,729,530,400 would take you about sixteen million, nine hundred sixty-five thousand, five hundred thirty-six 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 213423729530400 cubic inches would be around 4980 feet tall.
Recreational maths with 213423729530400
- 213423729530400 backwards is 004035927324312
- 213423729530400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213423729530400's digits is 45
- 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 213423729530400 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
APA style:
Numbermatics. (2024). Number 213423729530400 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/213423729530400/
Chicago style:
Numbermatics. 2024. "Number 213423729530400 - Facts about the integer". https://numbermatics.com/n/213423729530400/
The information we have on file for 213423729530400 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 213423729530400, math, Factors of 213423729530400, curriculum, school, college, exams, university, Prime factorization of 213423729530400, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirteen trillion, four hundred twenty-three billion, seven hundred twenty-nine million, five hundred thirty thousand, four hundred.