138122371996737440
138,122,371,996,737,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138122371996737440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
138122371996737440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138122371996737440:
25 × 5 × 13 × 232 × 412 × 53 × 11872
(2 × 2 × 2 × 2 × 2 × 5 × 13 × 23 × 23 × 41 × 41 × 53 × 1187 × 1187)See below for interesting mathematical facts about the number 138122371996737440 from the Numbermatics database.
Names of 138122371996737440
- Cardinal: 138122371996737440 can be written as One hundred thirty-eight quadrillion, one hundred twenty-two trillion, three hundred seventy-one billion, nine hundred ninety-six million, seven hundred thirty-seven thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3812237199673744 × 1017
Factors of 138122371996737440
Divisors of 138122371996737440
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 26 32 40 41 46 52 53 65 80 82 92 104 106 115 130 160 164 184 205 208 212 230 260 265 299 328 368 410 416 424 460 520 529 530 533 598 656 689 736 820 848 920 943 1040 1058 1060 1066 1187 1196 1219 1312 1378 1495 1640 1681 1696 1840 1886 2080 2116 2120 2132 2173 2374 2392 2438 2645 2665 2756 2990 3280 3362 3445 3680 3772 4232 4240 4264 4346 4715 4748 4784 4876 5290 5330 5512 5935 5980 6095 6560 6724 6877 6890 7544 8405 8464 8480 8528 8692 9430 9496 9568 9752 10580 10660 10865 11024 11870 11960 12190 12259 13448 13754 13780 15088 15431 15847 16810 16928 17056 17384 18860 18992 19504 21160 21320 21689 21730 21853 22048 23740 23920 24380 24518 26896 27301 27508 27560 28037 28249 30176 30862 31694 33620 34385 34768 37720 37984 38663 39008 42320 42640 43378 43460 43706 47480 47840 48667 48760 49036 49979 53792 54602 55016 55120 56074 56498 61295 61724 62911 63388 67240 68770 69536 75440 77155 77326 79235 84640 85280 86756 86920 87412 89093 94960 97334 97520 98072 99958 108445 109204 109265 110032 110240 112148 112996 122590 123448 125822 126776 134480 136505 137540 140185 141245 150880 154310 154652 158470 173512 173840 174824 178186 189920 193315 194668 195040 196144 199916 216890 218408 218530 220064 224296 225992 243335 245180 246896 249895 251644 253552 268960 273010 275080 280370 281957 282490 308620 309304 314555 316940 347024 347680 349648 354913 356372 364481 386630 389336 392288 399832 433780 436816 437060 445465 448592 451984 486670 490360 493792 499790 502619 503288 507104 546020 550160 560740 563914 564980 617240 618608 627923 629110 632671 633880 649727 694048 699296 709826 712744 728962 773260 778672 799664 817843 867560 873632 874120 889249 890930 897184 903968 973340 980720 999580 1005238 1006576 1092040 1100320 1119341 1121480 1127828 1129960 1149517 1158209 1234480 1237216 1255846 1258220 1265342 1267760 1299454 1408969 1409785 1419652 1425488 1446953 1457924 1546520 1557344 1599328 1635686 1735120 1748240 1774565 1778498 1781860 1822405 1946680 1961440 1995347 1999160 2010476 2013152 2049139 2184080 2238682 2242960 2255656 2259920 2299034 2316418 2468960 2511692 2513095 2516440 2530684 2535520 2579351 2598908 2817938 2819570 2839304 2850976 2893906 2915848 3093040 3139615 3163355 3248635 3271372 3470240 3496480 3549130 3556996 3563720 3644810 3893360 3990694 3998320 4020952 4089215 4098278 4368160 4446245 4477364 4485920 4511312 4519840 4598068 4632836 5023384 5026190 5032880 5061368 5158702 5197816 5596705 5635876 5639140 5678608 5747585 5787812 5791045 5831696 6186080 6279230 6326710 6497270 6542744 7044845 7098260 7113992 7127440 7234765 7289620 7786720 7981388 7996640 8041904 8162999 8178430 8196556 8892490 8954728 9022624 9196136 9265672 9976735 10046768 10052380 10065760 10122736 10245695 10317404 10395632 11193410 11271752 11278280 11357216 11495170 11560237 11575624 11582090 11663392 12558460 12653420 12896755 12994540 13085488 14089690 14196520 14227984 14254880 14469530 14551433 14579240 14943721 15962776 16083808 16325998 16356860 16393112 17784980 17909456 18316597 18392272 18531344 18810389 19953470 20093536 20104760 20245472 20491390 20634808 20791264 22386820 22543504 22556560 22990340 23120474 23151248 23164180 25116920 25306840 25744843 25793510 25939511 25989080 26170976 26638807 28179380 28393040 28455968 28939060 29102866 29158480 29887442 31925552 32406287 32651996 32713720 32786224 33279919 33531563 35569960 35818912 36633194 36784544 37062688 37620778 39906940 40209520 40814995 40982780 41269616 44773640 45087008 45113120 45892981 45980680 46240948 46302496 46328360 47130197 50233840 50613680 51489686 51587020 51879022 51978160 53277614 56358760 56786080 57767729 57801185 57878120 58205732 58316960 59325073 59774884 63851104 64812574 65303992 65427440 65572448 66559838 67063126 71139920 72757165 73266388 74675357 74718605 75241556 79813880 80419040 81629990 81965560 82539232 89547280 91582985 91785962 91961360 92481896 92656720 94051945 94260394 100467680 101227360 102979372 103174040 103758044 103956320 105753391 106555228 112717520 115535458 115602370 115756240 116411464 118650146 119549768 128724215 129625148 129697555 130607984 130854880 133119676 133194035 134126252 142279840 145514330 146532776 149350714 149437210 150483112 159627760 162031435 163259980 163931120 166399595 167657815 179094560 183165970 183571924 183922720 184963792 185313440 188103890 188520788 205958744 206348080 207516088 211506782 213110456 225435040 229464905 231070916 231204740 231512480 232822928 235650985 237300292 239099536 257448430 259250296 259395110 261215968 266239352 266388070 268252504 288838645 291028660 293065552 296625365 298701428 298874420 300966224 319255520 324062870 326519960 327862240 332799190 334682959 335315630 366331940 367143848 369927584 373376785 376207780 377041576 411917488 412696160 415032176 421281731 423013564 426220912 432638947 458929810 462141832 462409480 465645856 471301970 474600584 478199072 514896860 518500592 518790220 528766955 532478704 532776140 536505008 577677290 582057320 586131104 593250730 596608753 597402856 597748840 601932448 612692561 648125740 653039920 665598380 669365918 670631260 732663880 734287696 745344601 746753570 750980477 752415560 754083152 771225949 823834976 830064352 842563462 846027128 852441824 865277894 917859620 924283664 924818960 942603940 949201168 970779641 1029793720 1037001184 1037580440 1055538563 1057533910 1064957408 1065552280 1073010016 1155354580 1164114640 1186501460 1193217506 1194805712 1195497680 1225385122 1296251480 1306079840 1328657767 1331196760 1338731836 1341262520 1364476679 1374794083 1465327760 1468575392 1490689202 1493507140 1501960954 1504831120 1508166304 1542451898 1673414795 1685126924 1692054256 1717533211 1730555788 1835719240 1848567328 1849637920 1885207880 1898402336 1941559282 2059587440 2075160880 2106408655 2111077126 2115067820 2131104560 2163194735 2310709160 2328229280 2368476889 2373002920 2386435012 2389611424 2390995360 2432327993 2450770244 2592502960 2657315534 2662393520 2677463672 2682525040 2728953358 2749588166 2930655520 2981378404 2983043765 2987014280 3003921908 3009662240 3061689637 3063462805 3084903796 3346829590 3370253848 3384108512 3435066422 3461111576 3671438480 3726723005 3754902385 3770415760 3856129745 3883118564 4119174880 4150321760 4212817310 4222154252 4230135640 4262209120 4326389470 4621418320 4736953778 4746005840 4772870024 4853898205 4864655986 4901540488 5185005920 5277692815 5314631068 5324787040 5354927344 5365050080 5457906716 5499176332 5962756808 5966087530 5974028560 6007843816 6123379274 6126925610 6169807592 6643288835 6693659180 6740507696 6822383395 6870132844 6873970415 6922223152 7342876960 7453446010 7509804770 7540831520 7712259490 7766237128 8425634620 8444308504 8460271280 8587666055 8652778940 9242836640 9473907556 9492011680 9545740048 9689479813 9707796410 9729311972 9803080976 10555385630 10629262136 10709854688 10915813432 10998352664 11842384445 11925513616 11932175060 11948057120 12015687632 12161639965 12246758548 12253851220 12339615184 13286577670 13387318360 13481015392 13644766790 13722001319 13740265688 13747940830 13844446304 14906892020 15019609540 15308448185 15424518980 15532474256 16851269240 16888617008 16920542560 17175332110 17272550971 17305557880 17738196827 18947815112 19091480096 19378959626 19415592820 19458623944 19606161952 21110771260 21258524272 21831626864 21996705328 22327931743 23684768890 23851027232 23864350120 24031375264 24323279930 24493517096 24507702440 24679230368 26573155340 26774636720 27289533580 27444002638 27480531376 27495881660 29813784040 30039219080 30559128641 30616896370 30790199557 30849037960 31064948512 31620263909 33702538480 33777234016 34350664220 34545101942 34611115760 35476393654 37895630224 38757919252 38831185640 38917247888 39503263853 39801965281 42221542520 42517048544 43663253728 43993410656 44655863486 47369537780 47728700240 48447399065 48646559860 48987034192 49015404880 53146310680 53549273440 54474968447 54579067160 54888005276 54961062752 54991763320 55943543839 59627568080 60078438160 61118257282 61233792740 61580399114 61698075920 63240527818 67405076960 68610006595 68701328440 69090203884 69222231520 70418861651 70952787308 75791260448 77515838504 77662371280 77834495776 79006527706 79603930562 84443085040 86362754855 88690984135 89311726972 94739075560 95457400480 96894798130 97293119720 97974068384 98030809760 106292621360 108949936894 109158134320 109776010552 109983526640 111639658715 111887087678 119255136160 120156876320 122236514564 122467585480 123160798228 123396151840 125529275117 126481055636 137220013190 137402656880 138180407768 140837723302 141905574616 152795643205 153950997785 155031677008 155324742560 158013055412 158101319545 159207861124 168886170080 172725509710 177381968270 178623453944 189478151120 193789596260 194586239440 197516319265 199009826405 212585242720 217899873788 218316268640 219552021104 219967053280 223279317430 223774175356 244473029128 244935170960 246321596456 251058550234 252962111272 272374842235 274440026380 274805313760 276360815536 279717719195 281675446604 283811149232 305591286410 307901995570 310063354016 316026110824 316202639090 318415722248 345451019420 352094308255 354763936540 357246907888 378956302240 387579192520 389172478880 395032638530 397268672333 398019652810 435799747576 439104042208 446558634860 447548350712 488946058256 489870341920 492643192912 502117100468 505924222544 513542430089 544749684470 548880052760 552721631072 559435438390 563350893208 567622298464 611182572820 615803991140 627646375585 632052221648 632405278180 636831444496 690902038840 704188616510 708174589811 709527873080 714493815776 727266069907 775158385040 790065277060 794537344666 796039305620 871599495152 893117269720 895096701424 915445201463 977892116512 985286385824 1004234200936 1011848445088 1027084860178 1089499368940 1097760105520 1118870876780 1126701786416 1222365145640 1231607982280 1252924274281 1255292751170 1264104443296 1264810556360 1273662888992 1381804077680 1408377233020 1416349179622 1419055746160 1454532139814 1550316770080 1580130554120 1589074689332 1592078611240 1619633817973 1631880576521 1743198990304 1786234539440 1790193402848 1830890402926 1986343361665 2008468401872 2054169720356 2178998737880 2195520211040 2237741753560 2253403572832 2444730291280 2463215964560 2505848548562 2510585502340 2529621112720 2567712150445 2763608155360 2816754466040 2832698359244 2838111492320 2887173327691 2909064279628 3160261108240 3178149378664 3184157222480 3239267635946 3263761153042 3540872949055 3572469078880 3636330349535 3661780805852 3972686723330 4016936803744 4108339440712 4357997475760 4475483507120 4577226007315 4889460582560 4926431929120 5011697097124 5021171004680 5059242225440 5135424300890 5633508932080 5665396718488 5774346655382 5818128559256 6264621371405 6320522216480 6356298757328 6368314444960 6478535271892 6527522306084 7081745898110 7272660699070 7323561611704 7945373446660 8098169089865 8159402882605 8216678881424 8715994951520 8950967014240 9154452014630 10023394194248 10042342009360 10270848601780 11267017864160 11330793436976 11548693310764 11636257118512 12529242742810 12712597514656 12957070543784 13055044612168 14163491796220 14435866638455 14545321398140 14647123223408 15890746893320 16196338179730 16288015565653 16318805765210 16433357762848 18308904029260 20046788388496 20084684018720 20541697203560 21055239633649 22661586873952 23097386621528 23272514237024 25058485485620 25914141087568 26110089224336 28326983592440 28871733276910 29090642796280 29294246446816 31781493786640 32392676359460 32576031131306 32637611530420 36617808058520 37533253259983 40093576776992 41083394407120 42110479267298 46194773243056 50116970971240 51828282175136 52220178448672 56653967184880 57743466553820 58181285592560 63562987573280 64785352718920 65152062262612 65275223060840 66404986536893 73235616117040 75066506519966 81440077828265 82166788814240 84220958534596 92389546486112 100233941942480 105276198168245 113307934369760 115486933107640 116362571185120 129570705437840 130304124525224 130550446121680 132809973073786 146471232234080 150133013039932 162880155656530 168441917069192 187666266299915 200467883884960 210552396336490 230973866215280 259141410875680 260608249050448 261100892243360 265619946147572 300266026079864 325760311313060 332024932684465 336883834138384 375332532599830 421104792672980 461947732430560 521216498100896 531239892295144 600532052159728 651520622626120 664049865368930 673767668276768 750665065199660 842209585345960 863264824979609 1062479784590288 1201064104319456 1303041245252240 1328099730737860 1501330130399320 1684419170691920 1726529649959218 2124959569180576 2606082490504480 2656199461475720 3002660260798640 3368838341383840 3453059299918436 4316324124898045 5312398922951440 6005320521597280 6906118599836872 8632648249796090 10624797845902880 13812237199673744 17265296499592180 27624474399347488 34530592999184360 69061185998368720 138122371996737440
- Sum of all divisors σ(n): 383964852561978744
- Sum of proper divisors (its aliquot sum) s(n): 245842480565241304
- 138122371996737440 is an abundant number, because the sum of its proper divisors (245842480565241304) is greater than itself. Its abundance is 107720108568503864
Bases of 138122371996737440
- Binary: 1111010101011010110010000110001100110011001011111101000002
- Hexadecimal: 0x1EAB590C6665FA0
- Base-36: 11S0ALQ0W68W
Squares and roots of 138122371996737440
- 138122371996737440 squared (1381223719967374402) is 19077789646005118948026004297753600
- 138122371996737440 cubed (1381223719967374403) is 2635069558361024919856025970412849782957521014784000
-
The
square root of 138122371996737440 is 371648183.0935507749 -
The
cube root of 138122371996737440 is 516917.6278279195
Scales and comparisons
How big is 138122371996737440?- 138,122,371,996,737,440 seconds is equal to 4,391,864,188 years, 49 weeks, 2 days, 1 hour, 17 minutes, 20 seconds.
-
To count from 1 to 138,122,371,996,737,440 would take you about thirteen billion, one hundred seventy-five million, five hundred ninety-two thousand, five 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 138122371996737440 cubic inches would be around 43076.5 feet tall.
Recreational maths with 138122371996737440
- 138122371996737440 backwards is 044737699173221831
- The number of decimal digits it has is: 18
- The sum of 138122371996737440's digits is 77
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138122371996737440 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 138122371996737440 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138122371996737440/
Chicago style:
Numbermatics. 2024. "Number 138122371996737440 - Facts about the integer". https://numbermatics.com/n/138122371996737440/
The information we have on file for 138122371996737440 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 138122371996737440, math, Factors of 138122371996737440, curriculum, school, college, exams, university, Prime factorization of 138122371996737440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred twenty-two trillion, three hundred seventy-one billion, nine hundred ninety-six million, seven hundred thirty-seven thousand, four hundred forty.