13828602412800
13,828,602,412,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13828602412800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
13828602412800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 13828602412800:
28 × 32 × 52 × 7 × 312 × 89 × 401
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 31 × 31 × 89 × 401)See below for interesting mathematical facts about the number 13828602412800 from the Numbermatics database.
Names of 13828602412800
- Cardinal: 13828602412800 can be written as Thirteen trillion, eight hundred twenty-eight billion, six hundred two million, four hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.38286024128 × 1013
Factors of 13828602412800
Divisors of 13828602412800
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 31 32 35 36 40 42 45 48 50 56 60 62 63 64 70 72 75 80 84 89 90 93 96 100 105 112 120 124 126 128 140 144 150 155 160 168 175 178 180 186 192 200 210 217 224 225 240 248 252 256 267 279 280 288 300 310 315 320 336 350 356 360 372 384 400 401 420 434 445 448 450 465 480 496 504 525 534 558 560 576 600 620 623 630 640 651 672 700 712 720 744 768 775 800 801 802 840 868 890 896 900 930 960 961 992 1008 1050 1068 1085 1116 1120 1152 1200 1203 1240 1246 1260 1280 1302 1335 1344 1395 1400 1424 1440 1488 1550 1575 1600 1602 1604 1680 1736 1780 1792 1800 1860 1869 1920 1922 1953 1984 2005 2016 2100 2136 2170 2225 2232 2240 2304 2325 2400 2406 2480 2492 2520 2604 2670 2688 2759 2790 2800 2807 2848 2880 2883 2976 3100 3115 3150 3200 3204 3208 3255 3360 3472 3560 3600 3609 3720 3738 3840 3844 3906 3968 4005 4010 4032 4200 4272 4340 4450 4464 4480 4650 4800 4805 4812 4960 4984 5040 5208 5340 5376 5425 5518 5580 5600 5607 5614 5696 5760 5766 5952 6015 6200 6230 6300 6400 6408 6416 6510 6675 6720 6727 6944 6975 7120 7200 7218 7440 7476 7688 7812 7936 8010 8020 8064 8277 8400 8421 8544 8649 8680 8900 8928 8960 9300 9345 9600 9610 9624 9765 9920 9968 10025 10080 10416 10680 10850 11036 11160 11200 11214 11228 11392 11520 11532 11904 12030 12400 12431 12460 12600 12816 12832 13020 13350 13440 13454 13795 13888 13950 14035 14240 14400 14415 14436 14880 14952 15376 15575 15624 16020 16040 16128 16275 16554 16800 16842 17088 17298 17360 17800 17856 18045 18600 18690 19200 19220 19248 19313 19530 19840 19936 20025 20050 20160 20181 20832 21360 21700 22072 22320 22400 22428 22456 22784 23064 23808 24025 24060 24800 24831 24862 24920 25200 25263 25632 25664 26040 26700 26880 26908 27590 27776 27900 28035 28070 28480 28800 28830 28872 29760 29904 30075 30752 31150 31248 32040 32080 32550 33108 33600 33635 33684 34176 34596 34720 35600 35689 35712 36090 37200 37293 37380 38440 38496 38626 39060 39680 39872 40050 40100 40320 40362 41385 41664 42105 42720 43245 43400 44144 44640 44800 44856 44912 46128 46725 48050 48120 48825 49600 49662 49724 49840 50400 50526 51264 51328 52080 53400 53816 55180 55552 55800 56070 56140 56960 57600 57660 57744 57939 59520 59808 60150 60543 61504 62155 62300 62496 64080 64160 65100 66216 67200 67270 67368 68352 68975 69192 69440 70175 71200 71378 71424 72075 72180 74400 74586 74760 76880 76992 77252 78120 79744 80100 80200 80640 80724 82770 83328 84210 85440 85529 86490 86800 87017 88288 89280 89712 89824 90225 92256 93450 96100 96240 96565 97650 99200 99324 99448 99680 100800 100905 101052 102528 102656 104160 106800 107067 107632 110360 111600 111879 112140 112280 113920 115320 115488 115878 119040 119616 120300 121086 123008 124155 124310 124600 124992 126315 128160 128320 130200 132432 134400 134540 134736 137950 138384 138880 140175 140350 142400 142756 144150 144360 148800 149172 149520 153760 153984 154504 156240 159488 160200 160400 161448 165540 166656 168175 168420 170880 171058 172980 173600 173817 174034 176576 178445 178560 179424 179648 180450 184512 186465 186900 192200 192480 193130 195300 198400 198648 198896 199360 201600 201810 202104 205056 206925 208320 210525 213600 214134 215264 216225 220720 223200 223758 224280 224560 230640 230976 231756 239232 240600 242172 246016 248310 248620 249200 249823 249984 252630 256320 256587 256640 260400 261051 264864 269080 269472 275900 276768 277760 280350 280700 284800 285512 288300 288720 289695 297600 298344 299040 302715 307520 307968 309008 310775 312480 320400 320800 321201 322896 331080 336350 336840 341760 342116 345960 347200 347634 348068 353152 356890 357120 358848 359296 360900 369024 372930 373800 384400 384960 385361 386260 390600 397296 397792 398720 403200 403620 404208 413850 416640 421050 427200 427645 428268 430528 432450 435085 441440 446400 447516 448560 449120 461280 461952 463512 478464 481200 482825 484344 496620 497240 498400 499646 499968 504525 505260 512640 513174 513280 520800 522102 529728 535335 538160 538944 551800 553536 559395 560700 561400 569600 571024 576600 577440 579390 595200 596688 598080 598703 605430 615040 618016 620775 621550 624960 631575 640800 641600 642402 645792 662160 672700 673680 684232 691920 694400 695268 696136 706304 713780 717696 718592 721800 738048 745860 747600 749469 768800 769761 769920 770722 772520 781200 783153 794592 795584 797440 807240 808416 827700 833280 842100 854400 855290 856536 861056 864900 869085 870170 882880 892225 892800 895032 897120 898240 922560 923904 927024 932325 962400 965650 968688 993240 994480 996800 999292 1009050 1010520 1025280 1026348 1041600 1044204 1059456 1070670 1076320 1077888 1103600 1106359 1107072 1118790 1121400 1122800 1142048 1153200 1154880 1156083 1158780 1193376 1196160 1197406 1210860 1230080 1236032 1241550 1243100 1249115 1249920 1263150 1281600 1282935 1283200 1284804 1291584 1305255 1324320 1345400 1347360 1368464 1383840 1388800 1390536 1392272 1427560 1435392 1443600 1448475 1491720 1495200 1498938 1513575 1537600 1539522 1539840 1541444 1545040 1562400 1566306 1589184 1591168 1606005 1614480 1616832 1655400 1684200 1708800 1710580 1713072 1722112 1729800 1738170 1740340 1765760 1784450 1785600 1790064 1794240 1796109 1796480 1845120 1854048 1864650 1924800 1926805 1931300 1937376 1986480 1988960 1993600 1998584 2018100 2021040 2052696 2083200 2088408 2118912 2138225 2141340 2152640 2155776 2175425 2207200 2212718 2214144 2237580 2242800 2245600 2248407 2284096 2306400 2309760 2312166 2317560 2386752 2392320 2394812 2421720 2472064 2483100 2486200 2498230 2499840 2526300 2563200 2565870 2566400 2569608 2583168 2610510 2648640 2676675 2690800 2694720 2697527 2736928 2767680 2781072 2784544 2796975 2855120 2887200 2896950 2983440 2990400 2993515 2997876 3027150 3075200 3079044 3082888 3090080 3124800 3132612 3178368 3182336 3212010 3228960 3233664 3310800 3319077 3368400 3421160 3426144 3459600 3468249 3476340 3480680 3531520 3568900 3580128 3588480 3592218 3592960 3690240 3708096 3729300 3747345 3848805 3849600 3853610 3862600 3874752 3915765 3972960 3977920 3987200 3997168 4036200 4042080 4105392 4166400 4176816 4276450 4282680 4305280 4345425 4350850 4414400 4425436 4475160 4485600 4491200 4496814 4568192 4612800 4619520 4624332 4635120 4773504 4789624 4843440 4944128 4966200 4972400 4996460 5052600 5126400 5131740 5139216 5166336 5221020 5297280 5353350 5381600 5388327 5389440 5395054 5473856 5531795 5535360 5562144 5569088 5593950 5710240 5774400 5780415 5793900 5966880 5980800 5987030 5995752 6054300 6150400 6158088 6165776 6180160 6245575 6249600 6265224 6356736 6414675 6424020 6457920 6467328 6526275 6621600 6638154 6736800 6842320 6852288 6919200 6936498 6952680 6961360 7137800 7160256 7176960 7184436 7416192 7458600 7494690 7697610 7699200 7707220 7725200 7744513 7749504 7831530 7945920 7955840 7994336 8030025 8072400 8084160 8092581 8210784 8353632 8552900 8565360 8610560 8690850 8701700 8828800 8850872 8950320 8971200 8980545 8982400 8993628 9136384 9225600 9248664 9270240 9547008 9579248 9634025 9686880 9932400 9944800 9957231 9992920 10105200 10263480 10278432 10442040 10594560 10706700 10763200 10776654 10778880 10790108 10947712 11063590 11070720 11124288 11138176 11187900 11242035 11420480 11548800 11560830 11587800 11933760 11961600 11974060 11991504 12108600 12316176 12331552 12360320 12491150 12499200 12530448 12829350 12848040 12915840 13052550 13243200 13276308 13473600 13487635 13684640 13704576 13838400 13872996 13905360 13922720 14275600 14320512 14368872 14832384 14917200 14967575 14989380 15395220 15414440 15450400 15489026 15499008 15663060 15891840 15911680 15988672 16060050 16144800 16168320 16185162 16421568 16595385 16707264 17105800 17130720 17341245 17381700 17403400 17657600 17701744 17900640 17942400 17961090 17964800 17987256 18451200 18497328 18540480 18736725 19158496 19244025 19268050 19373760 19578825 19864800 19889600 19914462 19985840 20210400 20526960 20556864 20884080 21413400 21526400 21553308 21580216 21895424 22127180 22248576 22276352 22375800 22484070 22840960 23097600 23121660 23175600 23233539 23867520 23948120 23983008 24217200 24277743 24632352 24663104 24720640 24982300 25060896 25658700 25696080 25831680 26105100 26486400 26552616 26941635 26947200 26975270 27369280 27409152 27658975 27676800 27745992 27810720 27845440 28551200 28641024 28737744 28902075 29834400 29935150 29978760 30790440 30828880 30900800 30978052 31326120 31783680 31977344 32120100 32289600 32336640 32370324 32843136 33190770 33414528 34211600 34261440 34297129 34682490 34763400 34806800 35403488 35801280 35884800 35922180 35974512 36994656 37080960 37473450 38316992 38488050 38536100 38722565 38747520 39157650 39729600 39779200 39828924 39971680 40420800 40462905 41053920 41113728 41768160 42826800 43052800 43106616 43160432 44254360 44497152 44751600 44902725 44968140 45681920 46243320 46351200 46467078 47735040 47896240 47966016 48434400 48555486 49264704 49326208 49786155 49964600 50121792 51317400 51392160 52210200 52972800 53105232 53883270 53894400 53950540 54738560 55317950 55353600 55491984 55621440 55690880 56210175 57102400 57475488 57804150 59668800 59870300 59957520 61580880 61657760 61801600 61956104 62652240 63954688 64240200 64579200 64740648 65686272 66381540 66829056 67438175 68423200 68522880 68594258 69364980 69526800 69613600 69700617 70806976 71602560 71844360 71949024 73989312 74161920 74946900 76633984 76976100 77072200 77445130 77495040 78315300 79459200 79558400 79657848 79943360 80841600 80925810 82107840 82227456 82976925 83536320 85653600 86213232 86320864 86706225 88508720 89503200 89805450 89936280 92486640 92702400 92934156 95792480 95932032 96868800 97110972 98529408 98652416 99572310 99929200 100243584 102634800 102784320 102891387 104420400 106210464 107766540 107901080 109477120 110635900 110983968 111242880 111381760 112420350 114204800 114950976 115608300 116167695 119337600 119740600 119915040 121388715 123161760 123315520 123603200 123912208 125304480 128480400 129158400 129481296 132763080 134708175 134876350 136846400 137045760 137188516 138729960 139053600 139227200 139401234 141613952 143205120 143688720 143898048 147978624 149893800 153267968 153952200 154144400 154890260 156630600 158918400 159315696 159886720 161683200 161851620 164215680 165953850 167072640 171307200 171485645 172426464 172641728 173412450 177017440 179006400 179610900 179872560 184973280 185404800 185868312 191584960 191864064 193612825 193737600 194221944 197058816 199144620 199858400 200487168 202314525 205269600 205568640 205782774 208840800 212420928 215533080 215802160 221271800 221967936 222485760 224840700 228409600 229901952 231216600 232335390 238675200 239481200 239830080 240079903 242777430 246323520 246631040 247824416 248930775 250608960 256960800 258962592 265526160 269416350 269752700 273692800 274377032 277459920 278107200 278454400 278802468 283227904 287377440 287796096 295957248 299787600 307904400 308288800 308674161 309780520 313261200 318631392 319773440 323703240 328431360 331907700 334145280 342614400 342971290 344852928 345283456 346824900 348503085 354034880 358012800 359221800 359745120 369946560 370809600 371736624 383169920 387225650 387475200 388443888 398289240 399716800 404629050 410539200 411137280 411565548 417681600 424841856 431066160 431604320 442543600 443935872 449681400 459803904 462433200 464670780 478962400 479660160 480159806 485554860 492647040 493262080 495648832 497861550 501217920 513921600 514456935 517925184 531052320 538832700 539505400 547385600 548754064 554919840 556214400 556908800 557604936 574754880 575592192 580838475 599575200 606943575 615808800 616577600 617348322 619561040 626522400 637262784 647406480 663815400 685228800 685942580 689705856 690566912 693649800 697006170 708069760 716025600 718443600 719490240 720239709 739893120 743473248 766339840 774451300 776887776 796578480 799433600 809258100 821078400 823131096 835363200 849683712 857428225 862132320 863208640 885087200 887871744 899362800 924866400 929341560 957924800 959320320 960319612 971109720 985294080 991297664 995723100 1002435840 1027843200 1028913870 1035850368 1062104640 1077665400 1079010800 1097508128 1109839680 1112428800 1115209872 1149509760 1161676950 1199150400 1200399515 1213887150 1231617600 1233155200 1234696644 1239122080 1253044800 1274525568 1294812960 1327630800 1371885160 1379411712 1387299600 1394012340 1416139520 1436887200 1438980480 1440479418 1479786240 1486946496 1543370805 1548902600 1553775552 1593156960 1598867200 1618516200 1642156800 1646262192 1670726400 1714856450 1724264640 1726417280 1742515425 1770174400 1798725600 1849732800 1858683120 1915849600 1920639224 1942219440 1982595328 1991446200 2055686400 2057827740 2071700736 2124209280 2155330800 2158021600 2160719127 2195016256 2219679360 2230419744 2299019520 2323353900 2398300800 2400799030 2427774300 2463235200 2466310400 2469393288 2478244160 2506089600 2549051136 2572284675 2589625920 2655261600 2743770320 2774599200 2788024680 2873774400 2877960960 2880958836 2973892992 3086741610 3097805200 3107551104 3186313920 3237032400 3292524384 3429712900 3448529280 3452834560 3485030850 3540348800 3597451200 3601198545 3699465600 3717366240 3831699200 3841278448 3884438880 3982892400 4115655480 4248418560 4310661600 4316043200 4321438254 4390032512 4439358720 4460839488 4646707800 4796601600 4801598060 4855548600 4926470400 4938786576 4956488320 5012179200 5144569350 5179251840 5310523200 5487540640 5549198400 5576049360 5747548800 5761917672 5947785984 6001997575 6173483220 6195610400 6215102208 6372627840 6474064800 6585048768 6859425800 6897058560 6970061700 7080697600 7194902400 7202397090 7398931200 7434732480 7682556896 7716854025 7768877760 7965784800 8231310960 8621323200 8632086400 8642876508 8780065024 8921678976 9293415600 9603196120 9711097200 9877573152 9912976640 10289138700 10358503680 10621046400 10803595635 10975081280 11098396800 11152098720 11495097600 11523835344 12003995150 12346966440 12391220800 12745255680 12948129600 13170097536 13718851600 13940123400 14389804800 14404794180 14869464960 15365113792 15433708050 15537755520 15931569600 16462621920 17242646400 17264172800 17285753016 17843357952 18005992725 18586831200 19206392240 19422194400 19755146304 20578277400 21242092800 21607191270 21950162560 22196793600 22304197440 23047670688 24007990300 24693932880 24782441600 25896259200 26340195072 27437703200 27880246800 28809588360 29738929920 30730227584 30867416100 31075511040 31863139200 32925243840 34485292800 34571506032 36011985450 37173662400 38412784480 38844388800 39510292608 41156554800 43214382540 43900325120 44608394880 46095341376 48015980600 49387865760 49564883200 51792518400 54017978175 54875406400 55760493600 57619176720 61460455168 61734832200 63726278400 65850487680 69143012064 72023970900 74347324800 76825568960 77688777600 79020585216 82313109600 86428765080 89216789760 92190682752 96031961200 98775731520 108035956350 109750812800 111520987200 115238353440 123469664400 131700975360 138286024128 144047941800 148694649600 153651137920 155377555200 164626219200 172857530160 184381365504 192063922400 197551463040 216071912700 219501625600 223041974400 230476706880 246939328800 276572048256 288095883600 307302275840 329252438400 345715060320 384127844800 395102926080 432143825400 446083948800 460953413760 493878657600 553144096512 576191767200 658504876800 691430120640 768255689600 864287650800 921906827520 987757315200 1152383534400 1382860241280 1536511379200 1728575301600 1975514630400 2304767068800 2765720482560 3457150603200 4609534137600 6914301206400 13828602412800
- Sum of all divisors σ(n): 59188010787360
- Sum of proper divisors (its aliquot sum) s(n): 45359408374560
- 13828602412800 is an abundant number, because the sum of its proper divisors (45359408374560) is greater than itself. Its abundance is 31530805961760
Bases of 13828602412800
- Binary: 110010010011101110001110111100111111000000002
- Hexadecimal: 0xC93B8EF3F00
- Base-36: 4WGRSTZ40
Squares and roots of 13828602412800
- 13828602412800 squared (138286024128002) is 191230244691297981603840000
- 13828602412800 cubed (138286024128003) is 2644447023138417659570631837745152000000
-
The
square root of 13828602412800 is 3718682.8868296905 -
The
cube root of 13828602412800 is 24002.6631378097
Scales and comparisons
How big is 13828602412800?- 13,828,602,412,800 seconds is equal to 439,706 years, 40 weeks, 4 days, 16 hours.
-
To count from 1 to 13,828,602,412,800 would take you about one million, ninety-nine thousand, two hundred sixty-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 13828602412800 cubic inches would be around 2000.2 feet tall.
Recreational maths with 13828602412800
- 13828602412800 backwards is 00821420682831
- 13828602412800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13828602412800's digits is 45
- More coming soon!
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"Number 13828602412800 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 13828602412800 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/13828602412800/
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The information we have on file for 13828602412800 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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