138527809248469648
138,527,809,248,469,648 is an even composite number composed of six prime numbers multiplied together.
What does the number 138527809248469648 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 810 divisors.
138527809248469648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 138527809248469648:
24 × 72 × 432 × 73 × 972 × 3732
(2 × 2 × 2 × 2 × 7 × 7 × 43 × 43 × 73 × 97 × 97 × 373 × 373)See below for interesting mathematical facts about the number 138527809248469648 from the Numbermatics database.
Names of 138527809248469648
- Cardinal: 138527809248469648 can be written as One hundred thirty-eight quadrillion, five hundred twenty-seven trillion, eight hundred nine billion, two hundred forty-eight million, four hundred sixty-nine thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.38527809248469648 × 1017
Factors of 138527809248469648
Divisors of 138527809248469648
- Number of divisors d(n): 810
-
Complete list of divisors:
1 2 4 7 8 14 16 28 43 49 56 73 86 97 98 112 146 172 194 196 292 301 344 373 388 392 511 584 602 679 688 746 776 784 1022 1168 1204 1358 1492 1552 1849 2044 2107 2408 2611 2716 2984 3139 3577 3698 4088 4171 4214 4753 4816 5222 5432 5968 6278 7081 7154 7396 8176 8342 8428 9409 9506 10444 10864 12556 12943 14162 14308 14792 16039 16684 16856 18277 18818 19012 20888 21973 25112 25886 27229 28324 28616 29197 29584 32078 33368 33712 36181 36554 37636 38024 41776 43946 49567 50224 51772 54458 56648 57232 58394 64156 65863 66736 72362 73108 75272 76048 87892 90601 99134 103544 108916 112273 113296 116788 128312 131726 134977 139129 144724 146216 150544 153811 175784 179353 181202 190603 198268 204379 207088 217832 224546 233576 253267 256624 263452 269954 278258 289448 292432 304483 307622 346969 351568 358706 362404 381206 396536 404587 408758 435664 449092 461041 467152 506534 526904 539908 556516 578896 608966 615244 686857 689677 693938 717412 724808 762412 785911 793072 809174 817516 898184 922082 944839 973903 1013068 1053808 1079816 1113032 1170847 1217932 1230488 1255471 1334221 1373714 1379354 1387876 1434824 1449616 1524824 1555783 1571822 1618348 1635032 1772869 1796368 1844164 1889678 1947806 2026136 2131381 2159632 2226064 2341694 2435864 2460976 2510942 2641213 2668442 2747428 2758708 2775752 2832109 2869648 3049648 3111566 3143644 3236696 3270064 3509557 3545738 3688328 3779356 3895612 4052272 4262762 4683388 4807999 4827739 4871728 5021884 5282426 5336884 5494856 5517416 5551504 5664218 5982547 6223132 6287288 6473392 6613873 6817321 7019114 7091476 7376656 7558712 7791224 8195929 8525524 8788297 9366776 9615998 9655478 10043768 10156417 10564852 10673768 10890481 10989712 11034832 11328436 11965094 12446264 12574576 13092769 13227746 13495513 13634642 14038228 14182952 14919667 15117424 15582448 16391858 17051048 17397241 17576594 18488491 18733552 19231996 19310956 19824763 20087536 20312834 21129704 21347536 21780962 22656872 23930188 24566899 24892528 26185538 26455492 26991026 27269284 28076456 28365904 29534851 29839334 32783716 33655993 33794173 34102096 34794482 35153188 36976982 38463992 38621912 39649526 40625668 41877829 42259408 43561924 45313744 47860376 49133798 50346421 52371076 52910984 53982052 54538568 56152912 57371503 59069702 59678668 65567432 66898669 67311986 67588346 69588964 70306376 71094919 73953964 76233367 76927984 77243824 79299052 81251336 83755658 87123848 91649383 94468591 95720752 98267596 100692842 104742152 105821968 107964104 109077136 113572159 114743006 118139404 119357336 121780687 129419437 131134864 133797338 134623972 135176692 139177928 140612752 142189838 147907928 150910951 152466734 158598104 162502672 167511316 171968293 174247696 183298766 188937182 196535192 201385684 206743957 209484304 215928208 227144318 229486012 236278808 238714672 243561374 256197661 257249521 258838874 267594676 269247944 270353384 278355856 284379676 293144803 295815856 301821902 304933468 317196208 335022632 343936586 352424947 366597532 377874364 393070384 402771368 413487914 436725931 454288636 458972024 468290683 472557616 487122748 497664433 512395322 514499042 517677748 535189352 538495888 540706768 568759352 580307059 586289606 603643804 609866936 641545681 661280137 670045264 687873172 704849894 733195064 755748728 795005113 805542736 826975828 852464809 873451862 908577272 917944048 936581366 974245496 985172449 995328866 1024790644 1028998084 1035355496 1056376657 1070378704 1137518704 1160614118 1172579212 1207287608 1219733872 1269998593 1283091362 1309064761 1322560274 1375746344 1409699788 1447207699 1466390128 1511497456 1590010226 1653951656 1704929618 1746903724 1793383627 1800746647 1817154544 1873162732 1948490992 1970344898 1990657732 2049581288 2057996168 2070710992 2112753314 2321228236 2345158424 2414575216 2466974629 2539997186 2566182724 2618129522 2645120548 2751492688 2819399576 2894415398 3057081517 3180020452 3278034781 3307903312 3409859236 3493807448 3586767254 3601493294 3746325464 3940689796 3981315464 4062149413 4099162576 4115992336 4225506628 4642456472 4690316848 4883602837 4933949258 5079994372 5132365448 5236259044 5290241096 5565035791 5638799152 5788830796 6114163034 6360040904 6489170893 6556069562 6819718472 6896207143 6987614896 7173534508 7202986588 7394636599 7492650928 7881379592 7962630928 8124298826 8451013256 8889990151 9163453327 9284912944 9767205674 9867898516 10159988744 10264730896 10472518088 10580482192 11016499423 11130071582 11577661592 12228326068 12553685389 12605226529 12720081808 12978341786 13112139124 13639436944 13792414286 14347069016 14405973176 14789273198 15762759184 16248597652 16902026512 17779980302 18326906654 18779215033 19534411348 19735797032 20319977488 20945036176 21399570619 22032998846 22260143164 23155323184 24456652136 24953203537 25107370778 25210453058 25956683572 26224278248 27584828572 28435045891 28694138032 28811946352 29578546396 32497195304 34185219859 35559960604 36653813308 37558430066 39068822696 39471594064 42362415307 42799141238 44065997692 44520286328 45424196251 48273450001 48913304272 49906407074 50214741556 50420906116 51913367144 52448556496 55169657144 56289784723 56870091782 59157092792 62229931057 64144173289 64994390608 68370439718 71119921208 73307626616 75116860132 77115495961 78137645392 84724830614 85598282476 88131995384 89040572656 90848392502 95561727553 96546900002 99812814148 100429483112 100841812232 103826734288 110339314288 112579569446 113740183564 118314185584 124459862114 128288346578 131454505231 136740879436 142239842416 146615253232 150233720264 154230991922 169449661228 171196564952 174672424759 176263990768 181696785004 191123455106 193093800004 199625628296 200858966224 201683624464 225159138892 227480367128 239296539013 248919724228 256576693156 262909010462 273481758872 296536907149 300467440528 308461983844 317969373757 338899322456 342393129904 349344849518 363393570008 382246910212 386187600008 394028493061 399251256592 450318277784 454960734256 473709475189 478593078026 497839448456 513153386312 525818020924 539808471727 546963517744 593073814298 616923967688 635938747514 668932092871 677798644912 698689699036 726787140016 764493820424 772375200016 788056986122 900636555568 920181536617 947418950378 957186156052 995678896912 1026306772624 1051636041848 1079616943454 1186147628596 1222706973313 1233847935376 1271877495028 1337864185742 1397379398072 1528987640848 1576113972244 1821583858201 1840363073234 1894837900756 1914372312104 2075758350043 2103272083696 2159233886908 2372295257192 2420460743089 2445413946626 2543754990056 2675728371484 2758199451427 2794758796144 3152227944488 3315966326323 3643167716402 3680726146468 3789675801512 3828744624208 4109154284779 4151516700086 4318467773816 4682524650097 4744590514384 4840921486178 4890827893252 5087509980112 5351456742968 5516398902854 6304455888976 6631932652646 7286335432804 7361452292936 7579351603024 8218308569558 8303033400172 8636935547632 9365049300194 9681842972356 9781655786504 10702913485936 11032797805708 12751087007407 13263865305292 14572670865608 14722904585872 16436617139116 16606066800344 16943225201623 18730098600388 19363685944712 19563311573008 22065595611416 23211764284261 25502174014814 26527730610584 28764079993453 29145341731216 32873234278232 33212133600688 33886450403246 37460197200776 38727371889424 44131191222832 46423528568522 51004348029628 53055461221168 57528159986906 65746468556464 67772900806492 74920394401552 89257609051849 92847057137044 102008696059256 115056319973812 118602576411361 135545801612984 176693634245497 178515218103698 185694114274088 201348559954171 204017392118512 230112639947624 237205152822722 271091603225968 353387268490994 357030436207396 371388228548176 402697119908342 460225279895248 474410305645444 706774536981988 714060872414792 805394239816684 948820611290888 1236855439718479 1413549073963976 1428121744829584 1610788479633368 1897641222581776 2473710879436958 2827098147927952 3221576959266736 4947421758873916 8657988078029353 9894843517747832 17315976156058706 19789687035495664 34631952312117412 69263904624234824 138527809248469648
- Sum of all divisors σ(n): 328281133489992774
- Sum of proper divisors (its aliquot sum) s(n): 189753324241523126
- 138527809248469648 is an abundant number, because the sum of its proper divisors (189753324241523126) is greater than itself. Its abundance is 51225514993053478
Bases of 138527809248469648
- Binary: 1111011000010011001001110111111011100010010100010100100002
- Hexadecimal: 0x1EC264EFDC4A290
- Base-36: 11W00D0WHU34
Squares and roots of 138527809248469648
- 138527809248469648 squared (1385278092484696482) is 19189953935180392942619629977243904
- 138527809248469648 cubed (1385278092484696483) is 2658342278219588953510647112092701538062376837025792
-
The
square root of 138527809248469648 is 372193241.8092376487 -
The
cube root of 138527809248469648 is 517422.9114928949
Scales and comparisons
How big is 138527809248469648?- 138,527,809,248,469,648 seconds is equal to 4,404,755,839 years, 23 weeks, 3 days, 23 hours, 47 minutes, 28 seconds.
-
To count from 1 to 138,527,809,248,469,648 would take you about thirteen billion, two hundred fourteen million, two hundred sixty-seven thousand, five hundred eighteen 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 138527809248469648 cubic inches would be around 43118.6 feet tall.
Recreational maths with 138527809248469648
- 138527809248469648 backwards is 846964842908725831
- The number of decimal digits it has is: 18
- The sum of 138527809248469648's digits is 94
- More coming soon!
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"Number 138527809248469648 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 138527809248469648 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138527809248469648/
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The information we have on file for 138527809248469648 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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