138998901791556072
138,998,901,791,556,072 is an even composite number composed of six prime numbers multiplied together.
What does the number 138998901791556072 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
138998901791556072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138998901791556072:
23 × 34 × 72 × 79 × 1313 × 1572
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 79 × 131 × 131 × 131 × 157 × 157)See below for interesting mathematical facts about the number 138998901791556072 from the Numbermatics database.
Names of 138998901791556072
- Cardinal: 138998901791556072 can be written as One hundred thirty-eight quadrillion, nine hundred ninety-eight trillion, nine hundred one billion, seven hundred ninety-one million, five hundred fifty-six thousand and seventy-two.
Scientific notation
- Scientific notation: 1.38998901791556072 × 1017
Factors of 138998901791556072
Divisors of 138998901791556072
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 79 81 84 98 108 126 131 147 157 158 162 168 189 196 216 237 252 262 294 314 316 324 378 392 393 441 471 474 504 524 553 567 588 628 632 648 711 756 786 882 917 942 948 1048 1099 1106 1134 1176 1179 1256 1323 1413 1422 1512 1572 1659 1764 1834 1884 1896 2133 2198 2212 2268 2358 2646 2751 2826 2844 3144 3297 3318 3528 3537 3668 3768 3871 3969 4239 4266 4396 4424 4536 4716 4977 5292 5502 5652 5688 6399 6419 6594 6636 7074 7336 7693 7742 7938 8253 8478 8532 8792 9432 9891 9954 10349 10584 10611 11004 11304 11613 12403 12717 12798 12838 13188 13272 14148 14931 15386 15484 15876 16506 16956 17064 17161 19257 19782 19908 20567 20698 21222 22008 23079 23226 24649 24759 24806 25434 25596 25676 26376 28296 29673 29862 30772 30968 31047 31752 33012 33912 34322 34839 37209 38514 39564 39816 41134 41396 42444 44793 46158 46452 49298 49518 49612 50868 51192 51352 51483 57771 59346 59724 61544 61701 62094 66024 68644 69237 69678 72443 73947 74277 74418 77028 79128 82268 82792 84888 86821 89019 89586 92316 92904 93141 98596 99036 99224 101736 102966 104517 111627 115542 118692 119448 120127 123402 124188 137288 138474 139356 143969 144886 147894 148554 148836 154056 154449 164536 172543 173313 173642 178038 179172 184632 185103 186282 197192 198072 205932 207711 209034 217329 221841 223254 231084 237384 240254 246804 248376 260463 276948 278712 279423 287938 289772 295788 297108 297672 308898 313551 334881 345086 346626 347284 356076 358344 360381 370206 372564 411864 415422 418068 431907 434658 443682 446508 462168 463347 480508 493608 507101 517629 519939 520926 553896 555309 558846 575876 579544 591576 594216 607747 617796 623133 627102 651987 665523 669762 690172 693252 694568 712152 720762 740412 745128 781389 830844 836136 838269 840889 863814 869316 887364 893016 926694 961016 1004643 1007783 1014202 1035258 1039878 1041852 1081143 1110618 1117692 1151752 1207801 1215494 1235592 1246266 1254204 1295721 1303974 1331046 1339524 1355719 1380344 1386504 1390041 1441524 1480824 1521303 1552887 1562778 1624793 1661688 1665927 1676538 1681778 1727628 1738632 1774728 1823241 1853388 1947271 1955961 1996569 2009286 2015566 2028404 2070516 2079756 2083704 2162286 2221236 2235384 2248091 2344167 2415602 2430988 2492532 2508408 2522667 2591442 2607948 2662092 2679048 2694277 2711438 2780082 2883048 3023349 3042606 3105774 3125556 3229019 3243429 3249586 3331854 3353076 3363556 3455256 3623403 3646482 3706776 3887163 3894542 3911922 3993138 4018572 4031132 4056808 4067157 4141032 4159512 4324572 4442472 4496182 4563909 4658661 4688334 4831204 4861976 4874379 4985064 5045334 5182884 5215896 5324184 5388554 5422876 5469723 5560164 5841813 5867883 6046698 6085212 6211548 6251112 6458038 6486858 6499172 6663708 6706152 6727112 6744273 7032501 7246806 7292964 7568001 7774326 7789084 7823844 7986276 8037144 8062264 8082831 8134314 8649144 8992364 9070047 9127818 9317322 9376668 9490033 9662408 9687057 9730287 9748758 10090668 10365768 10777108 10845752 10870209 10939446 11120328 11373551 11661489 11683626 11735766 12093396 12170424 12201471 12423096 12916076 12973716 12998344 13327416 13488546 13630897 13691727 13975983 14065002 14493612 14585928 14623137 15136002 15548652 15578168 15647688 15736637 15972552 16165662 16268628 16409169 17525439 17984728 18140094 18255636 18634644 18753336 18859939 18980066 19374114 19460574 19497516 20181336 20232819 21554216 21740418 21878892 22603133 22704003 22747102 23322978 23367252 23471532 24186792 24248493 24402942 25832152 25947432 26977092 27210141 27261794 27383454 27951966 28130004 28470099 28987224 29061171 29246274 30272004 31097304 31473274 32331324 32537256 32610627 32818338 34120653 35050878 36280188 36511272 36604413 37269288 37719878 37960132 38748228 38921148 38995032 40465638 40892691 41075181 43480836 43757784 43869411 45206266 45408006 45494204 46645956 46734504 46943064 47209911 48496986 48805884 49227507 52576317 53954184 54420282 54523588 54766908 55903932 56260008 56579817 56940198 58122342 58492548 60544008 60698457 62946548 64662648 65221254 65636676 66430231 67809399 68112009 68241306 70101756 72560376 72745479 73208826 75439756 75920264 77496456 77842296 79614857 80931276 81630423 81785382 82150362 85410297 86961672 87183513 87738822 90412532 90816012 90988408 93291912 94419822 95416279 96993972 97611768 97831881 98455014 102361959 105152634 108840564 109047176 109533816 109813239 110156459 111807864 113159634 113880396 116244684 116985096 121396914 122678073 125893096 130442508 131273352 131608233 132019573 132860462 135618798 136224018 136482612 140203512 141629733 145490958 146417652 150879512 157728951 158221931 159229714 161862552 163260846 163570764 164300724 169739451 170820594 174367026 175477644 177599189 180825064 181632024 182095371 188839644 190832558 193987944 195663762 196910028 199290693 203428197 204723918 210305268 212847883 217681128 218236437 219626478 220312918 226319268 227760792 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51590427336 51883692189 52214161566 53298187614 53637666516 55099980216 55413195059 55766145346 57177946494 57542137236 59295648216 61829748792 62181218883 62577277602 64283310252 66707604243 66834235262 67132493442 68526241218 68962714092 69178256252 69618882088 71064250152 71381385432 74997195294 76237261992 78321242349 79947281421 80456499774 82649970324 82908291844 83436370136 83649218019 85548683304 88943472324 89509991256 91368321624 93865916403 96424965378 99996260392 100251352893 100698740163 102527811288 103767384378 104428323132 106596375228 107275333032 110826390118 111532290692 112495792941 114355892988 115084274472 120684749661 124362437766 125154555204 128566620504 133415208486 133668470524 134264986884 137052482436 137925428184 138356512504 144637448067 149994390588 155651076567 156642484698 159894562842 160912999548 165299940648 165816583688 166239585177 167298436038 177886944648 186543656649 187731832806 192849930756 195181508711 200122812729 200502705786 201397480326 207534768756 208856646264 213192750456 221652780236 223064581384 224991585882 228711785976 233919823417 234963727047 239841844263 241369499322 248724875532 250309110408 250947654057 266830416972 267336941048 268529973768 274104964872 281597749209 289274896134 299988781176 300754058679 311302153134 313284969396 319789125684 321825999096 332479170354 334596872076 337487378823 373087313298 375463665612 385699861512 387892365413 390363017422 400245625458 401005411572 402794960652 415069537512 443305560472 449983171764 466953229701 467839646834 469927454094 479683688526 482738998644 497449751064 498718755531 501895308114 533660833944 559630969947 563195498418 578549792268 585544526133 601508117358 622604306268 626569938792 639578251368 664958340708 669193744152 674974757646 701759470251 704891181141 746174626596 750927331224 752842962171 775784730826 780726034844 800491250916 802010823144 805589921304 844793247627 899966343528 902262176037 933906459402 935679293668 939854908188 959367377052 965477997288 997437511062 1003790616228 1012462136469 1119261939894 1126390996836 1157099584536 1163677096239 1171089052266 1203016234716 1245208612536 1329916681416 1349949515292 1366270560977 1400859689103 1403518940502 1409782362282 1492349253192 1496156266593 1505685924342 1551569461652 1561452069688 1600982501832 1637438763919 1678892909841 1689586495254 1756633578399 1804524352074 1867812918804 1871358587336 1879709816376 1918734754104 1994875022124 2007581232456 2024924272938 2105278410753 2238523879788 2252781993672 2258528886513 2327354192478 2342178104532 2406032469432 2699899030584 2706786528111 2715246557891 2732541121954 2801719378206 2807037881004 2819564724564 2992312533186 3011371848684 3103138923304 3274877527838 3357785819682 3379172990508 3491031288717 3513267156798 3609048704148 3735625837608 3989750044248 4049848545876 4098811682931 4210556821506 4377642409661 4477047759576 4488468799779 4517057773026 4654708384956 4684356209064 4912316291757 5269900735197 5413573056222 5430493115782 5465082243908 5603438756412 5614075762008 5639129449128 5984625066372 6022743697368 6315835232259 6549755055676 6715571639364 6758345981016 6982062577434 7026534313596 7218097408296 8099697091752 8145739673673 8197623365862 8421113643012 8755284819322 8976937599558 9034115546052 9309416769912 9824632583514 10473093866151 10539801470394 10827146112444 10860986231564 10930164487816 11206877512824 11969250132744 12296435048793 12631670464518 13099510111352 13132927228983 13431143278728 13964125154868 14053068627192 14736948875271 15809702205591 16291479347346 16395246731724 16842227286024 17510569638644 17953875199116 18068231092104 18947505696777 19649265167028 20946187732302 21079602940788 21654292224888 21721972463128 24437219021019 24592870097586 25263340929036 26265854457966 27928250309736 29473897750542 30643496867627 31419281598453 31619404411182 32582958694692 32790493463448 35021139277288 35907750398232 36889305146379 37895011393554 39298530334056 39398781686949 41892375464604 42159205881576 44210846625813 48874438042038 49185740195172 50526681858072 52531708915932 58947795501084 61286993735254 62838563196906 63238808822364 65165917389384 73311657063057 73778610292758 75790022787108 78797563373898 83784750929208 88421693251626 91930490602881 97748876084076 98371480390344 105063417831864 110667915439137 117895591002168 118196345060847 122573987470508 125677126393812 126477617644728 132632539877439 146623314126114 147557220585516 151580045574216 157595126747796 176843386503252 183860981205762 195497752168152 214504478073389 219934971189171 221335830878274 236392690121694 245147974941016 251354252787624 265265079754878 275791471808643 293246628252228 295114441171032 315190253495592 353686773006504 354589035182541 367721962411524 429008956146778 439869942378342 442671661756548 472785380243388 530530159509756 551582943617286 586493256504456 643513434220167 709178070365082 735443924823048 827374415425929 858017912293556 879739884756684 885343323513096 945570760486776 1061060319019512 1103165887234572 1287026868440334 1418356140730164 1654748830851858 1716035824587112 1759479769513368 1930540302660501 2206331774469144 2482123246277787 2574053736880668 2836712281460328 3309497661703716 3861080605321002 4964246492555574 5148107473761336 5791620907981503 6618995323407432 7722161210642004 9928492985111148 11583241815963006 15444322421284008 17374862723944509 19856985970222296 23166483631926012 34749725447889018 46332967263852024 69499450895778036 138998901791556072
- Sum of all divisors σ(n): 465112003181443200
- Sum of proper divisors (its aliquot sum) s(n): 326113101389887128
- 138998901791556072 is an abundant number, because the sum of its proper divisors (326113101389887128) is greater than itself. Its abundance is 187114199598331056
Bases of 138998901791556072
- Binary: 1111011011101001011000011110001010111010010000001111010002
- Hexadecimal: 0x1EDD2C3C57481E8
- Base-36: 120MZXY9EEI0
Squares and roots of 138998901791556072
- 138998901791556072 squared (1389989017915560722) is 19320694699258649802314759120069184
- 138998901791556072 cubed (1389989017915560723) is 2685555345046891041722016923313190856674923655285248
-
The
square root of 138998901791556072 is 372825564.8310025319 -
The
cube root of 138998901791556072 is 518008.7825063377
Scales and comparisons
How big is 138998901791556072?- 138,998,901,791,556,072 seconds is equal to 4,419,735,125 years, 7 weeks, 1 day, 10 hours, 1 minute, 12 seconds.
-
To count from 1 to 138,998,901,791,556,072 would take you about thirteen billion, two hundred fifty-nine million, two hundred five thousand, three hundred seventy-five 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 138998901791556072 cubic inches would be around 43167.4 feet tall.
Recreational maths with 138998901791556072
- 138998901791556072 backwards is 270655197109899831
- The number of decimal digits it has is: 18
- The sum of 138998901791556072's digits is 90
- More coming soon!
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"Number 138998901791556072 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 138998901791556072 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138998901791556072/
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Numbermatics. 2024. "Number 138998901791556072 - Facts about the integer". https://numbermatics.com/n/138998901791556072/
The information we have on file for 138998901791556072 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 138998901791556072, math, Factors of 138998901791556072, curriculum, school, college, exams, university, Prime factorization of 138998901791556072, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, nine hundred ninety-eight trillion, nine hundred one billion, seven hundred ninety-one million, five hundred fifty-six thousand and seventy-two.