13138742866976064
13,138,742,866,976,064 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13138742866976064 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
13138742866976064 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 13138742866976064:
26 × 32 × 13 × 312 × 1201 × 1229 × 1237
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 31 × 31 × 1201 × 1229 × 1237)See below for interesting mathematical facts about the number 13138742866976064 from the Numbermatics database.
Names of 13138742866976064
- Cardinal: 13138742866976064 can be written as Thirteen quadrillion, one hundred thirty-eight trillion, seven hundred forty-two billion, eight hundred sixty-six million, nine hundred seventy-six thousand and sixty-four.
Scientific notation
- Scientific notation: 1.3138742866976064 × 1016
Factors of 13138742866976064
Divisors of 13138742866976064
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 64 72 78 93 96 104 117 124 144 156 186 192 208 234 248 279 288 312 372 403 416 468 496 558 576 624 744 806 832 936 961 992 1116 1201 1209 1229 1237 1248 1488 1612 1872 1922 1984 2232 2402 2418 2458 2474 2496 2883 2976 3224 3603 3627 3687 3711 3744 3844 4464 4804 4836 4916 4948 5766 5952 6448 7206 7254 7374 7422 7488 7688 8649 8928 9608 9672 9832 9896 10809 11061 11133 11532 12493 12896 14412 14508 14748 14844 15376 15613 15977 16081 17298 17856 19216 19344 19664 19792 21618 22122 22266 23064 24986 25792 28824 29016 29496 29688 30752 31226 31954 32162 34596 37231 37479 38099 38347 38432 38688 39328 39584 43236 44244 44532 46128 46839 47931 48243 49972 57648 58032 58992 59376 61504 62452 63908 64324 69192 74462 74958 76198 76694 76864 77376 78656 79168 86472 88488 89064 92256 93678 95862 96486 99944 111693 112437 114297 115041 115296 116064 117984 118752 124904 127816 128648 138384 140517 143793 144729 148924 149916 152396 153388 172944 176976 178128 184512 187356 191724 192972 199888 223386 224874 228594 230082 230592 232128 235968 237504 249808 255632 257296 276768 281034 287586 289458 297848 299832 304792 306776 335079 342891 345123 345888 353952 356256 374712 383448 385944 399776 446772 449748 457188 460164 484003 495287 498511 499616 511264 514592 553536 562068 575172 578916 595696 599664 609584 613552 670158 685782 690246 691776 707904 712512 749424 766896 771888 799552 893544 899496 914376 920328 968006 990574 997022 999232 1022528 1029184 1124136 1150344 1154161 1157832 1181069 1188757 1191392 1199328 1219168 1227104 1340316 1371564 1380492 1452009 1476029 1485637 1485861 1495533 1498848 1520273 1533792 1543776 1787088 1798992 1828752 1840656 1936012 1981148 1994044 2248272 2300688 2308322 2315664 2362138 2377514 2382784 2398656 2438336 2454208 2680632 2743128 2760984 2904018 2952058 2971274 2971722 2991066 2997696 3040546 3067584 3087552 3462483 3543207 3566271 3574176 3597984 3657504 3681312 3872024 3962296 3988088 4356027 4428087 4456911 4457583 4486599 4496544 4560819 4601376 4616644 4631328 4724276 4755028 5361264 5486256 5521968 5808036 5904116 5942548 5943444 5982132 6081092 6924966 7086414 7132542 7148352 7195968 7315008 7362624 7744048 7924592 7976176 8712054 8856174 8913822 8915166 8973198 8993088 9121638 9202752 9233288 9262656 9448552 9510056 10387449 10629621 10698813 10722528 10972512 11043936 11616072 11808232 11885096 11886888 11964264 12162184 13284261 13370733 13682457 13849932 14172828 14265084 15004093 15353897 15453841 15488096 15849184 15952352 17424108 17712348 17827644 17830332 17946396 18243276 18466576 18897104 19020112 19188377 19313281 19763549 20774898 21259242 21397626 21445056 21945024 22087872 23232144 23616464 23770192 23773776 23928528 24324368 26568522 26741466 27364914 27699864 28345656 28530168 30008186 30707794 30907682 30976192 31698368 31904704 34848216 35424696 35655288 35660664 35892792 36486552 36933152 37794208 38040224 38376754 38626562 39527098 41549796 42518484 42795252 45012279 45756899 46054747 46061691 46361523 46464288 47128463 47232928 47540384 47547552 47857056 48648736 53137044 53482932 54729828 55399728 56691312 57060336 57565131 57939843 59290647 60016372 61415588 61815364 69696432 70849392 71310576 71321328 71785584 72973104 73866304 75588416 76080448 76753508 77253124 79054196 83099592 85036968 85590504 90024558 91513798 92109494 92123382 92723046 92928576 94256926 94465856 95080768 95095104 95714112 97297472 106274088 106965864 109459656 110799456 113382624 114120672 115130262 115879686 118581294 120032744 122831176 123630728 135036837 137270697 138164241 138185073 139084569 139392864 141385389 141698784 142621152 142642656 143571168 145946208 153507016 154506248 158108392 166199184 170073936 171181008 172695393 173819529 177871941 180049116 183027596 184218988 184246764 185446092 188513852 212548176 213931728 218919312 221598912 226765248 228241344 230260524 231759372 237162588 240065488 245662352 247261456 270073674 274541394 276328482 276370146 278169138 278785728 282770778 283397568 285242304 285285312 287142336 291892416 307014032 309012496 316216784 332398368 340147872 342362016 345390786 347639058 355743882 360098232 366055192 368437976 368493528 370892184 377027704 411812091 414492723 424156167 425096352 427863456 437838624 460521048 463518744 474325176 480130976 491324704 494522912 540147348 549082788 552656964 552740292 556338276 565541556 594839687 598711711 612670019 614028064 618024992 632433568 664796736 680295744 684724032 690781572 695278116 711487764 720196464 732110384 736875952 736987056 741784368 754055408 823624182 828985446 848312334 850192704 855726912 875677248 921042096 927037488 948650352 960261952 982649408 989045824 1080294696 1098165576 1105313928 1105480584 1112676552 1131083112 1189679374 1197423422 1225340038 1228056128 1236049984 1264867136 1381563144 1390556232 1418463869 1422975528 1427697157 1440392928 1460982353 1464220768 1473751904 1473974112 1483568736 1508110816 1647248364 1657970892 1696624668 1784519061 1796135133 1825847873 1838010057 1842084192 1854074976 1897300704 2160589392 2196331152 2210627856 2210961168 2225353104 2262166224 2379358748 2394846844 2450680076 2763126288 2781112464 2836927738 2845951056 2855394314 2880785856 2921964706 2928441536 2947503808 2947948224 2967137472 3016221632 3294496728 3315941784 3393249336 3569038122 3592270266 3651695746 3676020114 3684168384 3708149952 3794601408 4255391607 4283091471 4321178784 4382947059 4392662304 4421255712 4421922336 4450706208 4524332448 4758717496 4789693688 4901360152 5353557183 5388405399 5477543619 5514030171 5526252576 5562224928 5673855476 5691902112 5710788628 5843929412 6588993456 6631883568 6786498672 7138076244 7184540532 7303391492 7352040228 8510783214 8566182942 8642357568 8765894118 8785324608 8842511424 8843844672 8901412416 9048664896 9517434992 9579387376 9802720304 10707114366 10776810798 10955087238 11028060342 11052505152 11124449856 11347710952 11383804224 11421577256 11687858824 12766174821 12849274413 13148841177 13177986912 13263767136 13572997344 14276152488 14369081064 14606782984 14704080456 16432630857 17021566428 17132365884 17531788236 18440030297 18560063041 18992770589 19034869984 19158774752 19605440608 21414228732 21553621596 21910174476 22056120684 22695421904 22843154512 23375717648 23736022349 25532349642 25698548826 26297682354 26355973824 26527534272 27145994688 28552304976 28738162128 29213565968 29408160912 32865261714 34043132856 34264731768 35063576472 36880060594 37120126082 37985541178 38069739968 38317549504 39210881216 42828457464 43107243192 43820348952 44112241368 45390843808 45686309024 46751435296 47472044698 51064699284 51397097652 52595364708 55320090891 55680189123 56601284063 56978311767 57104609952 57476324256 58427131936 58816321824 65730523428 68086265712 68529463536 70127152944 71208067047 73760121188 74240252164 75971082356 85656914928 86214486384 87640697904 88224482736 90781687616 91372618048 93502870592 94944089396 102129398568 102794195304 105190729416 110640181782 111360378246 113202568126 113956623534 114209219904 114952648512 116854263872 117632643648 131461046856 136172531424 137058927072 140254305888 142416134094 147520242376 148480504328 151942164712 165960272673 167040567369 169803852189 170934935301 171313829856 172428972768 175281395808 176448965472 189888178792 204258797136 205588390608 210381458832 213624201141 221280363564 222720756492 226405136252 227913247068 262922093712 272345062848 274117854144 280508611776 284832268188 295040484752 296961008656 303884329424 331920545346 334081134738 339607704378 341869870602 342627659712 344857945536 350562791616 352897930944 379776357584 408517594272 411176781216 420762917664 427248402282 442560727128 445441512984 452810272504 455826494136 509411556567 525844187424 569664536376 590080969504 593922017312 607768658848 663841090692 668162269476 679215408756 683739741204 735816692819 759552715168 817035188544 822353562432 841525835328 854496804564 885121454256 890883025968 905620545008 911652988272 1018823113134 1051688374848 1139329072752 1180161939008 1187844034624 1215537317696 1327682181384 1336324538952 1358430817512 1367479482408 1471633385638 1519105430336 1708993609128 1754639805953 1770242908512 1781766051936 1811241090016 1823305976544 2037646226268 2207450078457 2278658145504 2655364362768 2672649077904 2716861635024 2734958964816 2943266771276 3417987218256 3509279611906 3540485817024 3563532103872 3622482180032 3646611953088 4075292452536 4414900156914 4557316291008 5263919417859 5310728725536 5345298155808 5433723270048 5469917929632 5886533542552 6622350235371 6835974436512 7018559223812 8150584905072 8829800313828 10527838835718 10621457451072 10690596311616 10867446540096 10939835859264 11773067085104 13244700470742 13671948873024 14037118447624 15791758253577 16301169810144 17659600627656 21055677671436 22810317477389 23546134170208 26489400941484 28074236895248 31583516507154 32602339620288 35319201255312 42111355342872 45620634954778 47092268340416 52978801882968 56148473790496 63167033014308 68430952432167 70638402510624 84222710685744 91241269909556 105957603765936 112296947580992 126334066028616 136861904864334 141276805021248 168445421371488 182482539819112 205292857296501 211915207531872 252668132057232 273723809728668 336890842742976 364965079638224 410585714593002 423830415063744 505336264114464 547447619457336 729930159276448 821171429186004 1010672528228928 1094895238914672 1459860318552896 1642342858372008 2189790477829344 3284685716744016 4379580955658688 6569371433488032 13138742866976064
- Sum of all divisors σ(n): 42010183760322960
- Sum of proper divisors (its aliquot sum) s(n): 28871440893346896
- 13138742866976064 is an abundant number, because the sum of its proper divisors (28871440893346896) is greater than itself. Its abundance is 15732698026370832
Bases of 13138742866976064
- Binary: 1011101010110110011101111101010110000110011101010000002
- Hexadecimal: 0x2EAD9DF5619D40
- Base-36: 3LDAN5APJK0
Squares and roots of 13138742866976064
- 13138742866976064 squared (131387428669760642) is 172626564124514401790471548932096
- 13138742866976064 cubed (131387428669760643) is 2268096038041549706924445715376761060363993350144
-
The
square root of 13138742866976064 is 114624355.4702754435 -
The
cube root of 13138742866976064 is 235967.0000000011
Scales and comparisons
How big is 13138742866976064?- 13,138,742,866,976,064 seconds is equal to 417,771,382 years, 19 weeks, 1 day, 14 hours, 14 minutes, 24 seconds.
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To count from 1 to 13,138,742,866,976,064 would take you about one billion, two hundred fifty-three million, three hundred fourteen thousand, one hundred forty-seven 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 13138742866976064 cubic inches would be around 19663.9 feet tall.
Recreational maths with 13138742866976064
- 13138742866976064 backwards is 46067966824783131
- The number of decimal digits it has is: 17
- The sum of 13138742866976064's digits is 81
- More coming soon!
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The information we have on file for 13138742866976064 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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