138517854576640
138,517,854,576,640 is an even composite number composed of six prime numbers multiplied together.
138517854576640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138517854576640:
213 × 5 × 72 × 11 × 1272 × 389
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 11 × 127 × 127 × 389)See below for interesting mathematical facts about the number 138517854576640 from the Numbermatics database.
Names of 138517854576640
- Cardinal: 138517854576640 can be written as One hundred thirty-eight trillion, five hundred seventeen billion, eight hundred fifty-four million, five hundred seventy-six thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3851785457664 × 1014
Factors of 138517854576640
Divisors of 138517854576640
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 64 70 77 80 88 98 110 112 127 128 140 154 160 176 196 220 224 245 254 256 280 308 320 352 385 389 392 440 448 490 508 512 539 560 616 635 640 704 770 778 784 880 889 896 980 1016 1024 1078 1120 1232 1270 1280 1397 1408 1540 1556 1568 1760 1778 1792 1945 1960 2032 2048 2156 2240 2464 2540 2560 2695 2723 2794 2816 3080 3112 3136 3520 3556 3584 3890 3920 4064 4096 4279 4312 4445 4480 4928 5080 5120 5390 5446 5588 5632 6160 6223 6224 6272 6985 7040 7112 7168 7780 7840 8128 8192 8558 8624 8890 8960 9779 9856 10160 10240 10780 10892 11176 11264 12320 12446 12448 12544 13615 13970 14080 14224 14336 15560 15680 16129 16256 17116 17248 17780 17920 19061 19558 19712 20320 20480 21395 21560 21784 22352 22528 24640 24892 24896 25088 27230 27940 28160 28448 28672 29953 31115 31120 31360 32258 32512 34232 34496 35560 35840 38122 39116 39424 40640 40960 42790 43120 43568 44704 45056 48895 49280 49403 49784 49792 50176 54460 55880 56320 56896 57344 59906 62230 62240 62720 64516 65024 68453 68464 68992 71120 71680 76244 78232 78848 80645 81280 85580 86240 87136 89408 90112 95305 97790 98560 98806 99568 99584 100352 108920 111760 112640 112903 113792 119812 124460 124480 125440 129032 130048 136906 136928 137984 142240 143360 149765 152488 156464 157696 161290 162560 171160 172480 174272 177419 178816 190610 195580 197120 197612 199136 199168 200704 209671 217840 223520 225280 225806 227584 239624 247015 248920 248960 250880 258064 260096 273812 273856 275968 284480 286720 299530 304976 312928 315392 322580 325120 342265 342320 344960 345821 348544 354838 357632 381220 391160 394240 395224 398272 398336 401408 419342 435680 447040 450560 451612 455168 479248 494030 497840 497920 501760 516128 520192 543433 547624 547712 551936 564515 568960 599060 609952 625856 630784 645160 650240 684530 684640 689920 691642 697088 709676 715264 762440 782320 788480 790321 790448 796544 796672 838684 871360 887095 894080 903224 910336 958496 988060 995680 995840 1003520 1032256 1040384 1048355 1086866 1095248 1095424 1103872 1129030 1137920 1198120 1219904 1241933 1251712 1290320 1300480 1369060 1369280 1379840 1383284 1394176 1419352 1430528 1524880 1564640 1576960 1580642 1580896 1593088 1593344 1677368 1729105 1742720 1774190 1788160 1806448 1820672 1916992 1976120 1991360 1991680 2007040 2064512 2096710 2173732 2190496 2190848 2207744 2258060 2275840 2396240 2420747 2439808 2483866 2503424 2580640 2600960 2717165 2738120 2738560 2759680 2766568 2788352 2838704 2861056 3049760 3129280 3153920 3161284 3161792 3186176 3186688 3354736 3458210 3485440 3548380 3576320 3612896 3641344 3804031 3833984 3951605 3952240 3982720 3983360 4129024 4193420 4347464 4380992 4381696 4415488 4516120 4551680 4792480 4841494 4879616 4967732 5006848 5161280 5201920 5434330 5476240 5477120 5519360 5533136 5576704 5677408 5722112 6099520 6209665 6258560 6274181 6322568 6323584 6372352 6709472 6916420 6970880 7096760 7152640 7225792 7282688 7608062 7667968 7903210 7904480 7965440 7966720 8258048 8386840 8693531 8694928 8761984 8763392 9032240 9103360 9584960 9682988 9759232 9935464 10013696 10322560 10868660 10952480 10954240 11038720 11066272 11153408 11354816 11444224 12103735 12199040 12419330 12517120 12548362 12645136 12647168 12744704 13418944 13832840 13941760 14193520 14305280 14451584 15216124 15335936 15806420 15808960 15930880 15933440 16516096 16773680 17387062 17389856 17523968 17526784 18064480 18206720 19020155 19169920 19365976 19518464 19870928 20027392 20645120 21737320 21904960 21908480 22077440 22132544 22306816 22709632 24207470 24398080 24838660 25034240 25096724 25290272 25294336 25489408 26628217 26837888 27665680 27883520 28387040 28610560 28903168 30432248 30671872 31370905 31612840 31617920 31861760 33032192 33547360 34774124 34779712 35047936 35053568 36128960 36413440 38040310 38339840 38731952 39036928 39741856 40054784 41290240 43467655 43474640 43809920 43816960 43919267 44265088 45419264 48414940 48796160 49677320 50068480 50193448 50580544 50588672 50978816 53256434 53675776 55331360 55767040 56774080 57221120 57806336 60864496 61343744 62741810 63225680 63235840 63723520 66064384 67094720 69015991 69548248 69559424 70095872 72257920 76080620 76679680 77463904 78073856 79483712 80109568 82580480 86935310 86949280 87619840 87633920 87838534 88530176 90838528 96829880 97592320 99354640 100136960 100386896 101161088 101177344 106512868 107351552 110662720 111534080 113548160 115612672 121728992 122687488 125483620 126451360 126471680 127447040 132128768 133141085 134189440 138031982 139096496 139118848 140191744 144515840 152161240 153359360 154927808 156147712 158967424 165160960 173870620 173898560 175239680 175267840 175677068 177060352 181677056 193659760 195184640 198709280 200273920 200773792 202322176 202354688 213025736 214703104 219596335 221325440 227096320 231225344 243457984 245374976 250967240 252902720 252943360 254894080 266282170 268378880 276063964 278192992 278237696 280383488 289031680 304322480 306718720 307434869 309855616 317934848 330321920 345079955 347741240 347797120 350479360 351354136 354120704 363354112 387319520 390369280 397418560 400547840 401547584 404644352 404709376 426051472 429406208 439192670 442650880 454192640 462450688 483111937 486915968 501934480 505805440 505886720 532564340 536757760 552127928 556385984 556475392 560766976 578063360 608644960 613437440 614869738 619711232 635869696 660643840 690159910 695482480 695594240 700958720 702708272 708241408 726708224 774639040 780738560 794837120 803095168 809288704 852102944 858812416 878385340 885301760 908385280 924901376 966223874 973831936 1003868960 1011610880 1011773440 1065128680 1073515520 1104255856 1112771968 1112950784 1156126720 1217289920 1226874880 1229739476 1239422464 1271739392 1380319820 1390964960 1391188480 1401917440 1405416544 1416482816 1453416448 1537174345 1549278080 1589674240 1606190336 1618577408 1704205888 1717624832 1756770680 1770603520 1816770560 1932447748 1947663872 2007737920 2023221760 2023546880 2130257360 2147031040 2208511712 2225543936 2225901568 2312253440 2415559685 2434579840 2459478952 2478844928 2543478784 2760639640 2781929920 2782376960 2803834880 2810833088 2832965632 3074348690 3098556160 3179348480 3212380672 3237154816 3381783559 3408411776 3513541360 3541207040 3633541120 3864895496 3895327744 4015475840 4046443520 4260514720 4294062080 4417023424 4451087872 4451803136 4624506880 4831119370 4869159680 4918957904 4957689856 5086957568 5521279280 5563859840 5564753920 5621666176 6148697380 6197112320 6358696960 6424761344 6474309632 6763567118 6816823552 7027082720 7082414080 7267082240 7729790992 7790655488 8030951680 8092887040 8521029440 8588124160 8834046848 8902175744 9662238740 9738319360 9837915808 9915379712 10173915136 11042558560 11127719680 11129507840 11243332352 12297394760 12394224640 12717393920 12849522688 13527134236 13633647104 14054165440 14164828160 15459581984 15581310976 16061903360 16185774080 16908917795 17042058880 17668093696 17804351488 19324477480 19476638720 19675831616 19830759424 22085117120 22255439360 22259015680 22486664704 24594789520 24788449280 25434787840 25699045376 27054268472 27267294208 28108330880 30919163968 31162621952 32123806720 32371548160 33817835590 34084117760 35336187392 35608702976 38648954960 38953277440 39351663232 44170234240 44510878720 44973329408 49189579040 49576898560 50869575680 51398090752 54108536944 54534588416 56216661760 61838327936 64247613440 67635671180 68168235520 70672374784 71217405952 77297909920 77906554880 78703326464 88340468480 89021757440 89946658816 98379158080 99153797120 108217073888 109069176832 112433323520 123676655872 128495226880 135271342360 136336471040 141344749568 154595819840 155813109760 157406652928 176680936960 178043514880 179893317632 196758316160 216434147776 218138353664 224866647040 247353311744 256990453760 270542684720 272672942080 282689499136 309191639680 314813305856 353361873920 356087029760 359786635264 393516632320 432868295552 449733294080 494706623488 541085369440 545345884160 565378998272 618383279360 629626611712 706723747840 787033264640 865736591104 899466588160 989413246976 1082170738880 1090691768320 1236766558720 1259253223424 1413447495680 1574066529280 1731473182208 1798933176320 1978826493952 2164341477760 2473533117440 2518506446848 2826894991360 3148133058560 3462946364416 3957652987904 4328682955520 4947066234880 6296266117120 6925892728832 8657365911040 9894132469760 12592532234240 13851785457664 17314731822080 19788264939520 27703570915328 34629463644160 69258927288320 138517854576640
- Sum of all divisors σ(n): 426290639121360
- Sum of proper divisors (its aliquot sum) s(n): 287772784544720
- 138517854576640 is an abundant number, because the sum of its proper divisors (287772784544720) is greater than itself. Its abundance is 149254929968080
Bases of 138517854576640
- Binary: 111110111111011001100111000010001100000000000002
- Hexadecimal: 0x7DFB33846000
- Base-36: 1D3M826U4G
Squares and roots of 138517854576640
- 138517854576640 squared (1385178545766402) is 19187196036515186993633689600
- 138517854576640 cubed (1385178545766403) is 2657769230319494063262967773503049170944000
-
The
square root of 138517854576640 is 11769360.8397669583 -
The
cube root of 138517854576640 is 51741.0517113521
Scales and comparisons
How big is 138517854576640?- 138,517,854,576,640 seconds is equal to 4,404,439 years, 16 weeks, 1 day, 10 hours, 50 minutes, 40 seconds.
-
To count from 1 to 138,517,854,576,640 would take you about eleven million, eleven thousand and ninety-eight 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 138517854576640 cubic inches would be around 4311.8 feet tall.
Recreational maths with 138517854576640
- 138517854576640 backwards is 046675458715831
- 138517854576640 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138517854576640's digits is 70
- More coming soon!
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The information we have on file for 138517854576640 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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