137638459905197004
137,638,459,905,197,004 is an even composite number composed of six prime numbers multiplied together.
What does the number 137638459905197004 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 900 divisors.
137638459905197004 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 137638459905197004:
22 × 32 × 13 × 23 × 314 × 614
(2 × 2 × 3 × 3 × 13 × 23 × 31 × 31 × 31 × 31 × 61 × 61 × 61 × 61)See below for interesting mathematical facts about the number 137638459905197004 from the Numbermatics database.
Names of 137638459905197004
- Cardinal: 137638459905197004 can be written as One hundred thirty-seven quadrillion, six hundred thirty-eight trillion, four hundred fifty-nine billion, nine hundred five million, one hundred ninety-seven thousand and four.
Scientific notation
- Scientific notation: 1.37638459905197004 × 1017
Factors of 137638459905197004
Divisors of 137638459905197004
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 6 9 12 13 18 23 26 31 36 39 46 52 61 62 69 78 92 93 117 122 124 138 156 183 186 207 234 244 276 279 299 366 372 403 414 468 549 558 598 713 732 793 806 828 897 961 1098 1116 1196 1209 1403 1426 1586 1612 1794 1891 1922 2139 2196 2379 2418 2691 2806 2852 2883 3172 3588 3627 3721 3782 3844 4209 4278 4758 4836 5382 5612 5673 5766 6417 7137 7254 7442 7564 8418 8556 8649 9269 9516 10764 11163 11346 11532 12493 12627 12834 14274 14508 14884 16836 17019 17298 18239 18538 22103 22326 22692 24583 24986 25254 25668 27807 28548 29791 33489 34038 34596 36478 37076 37479 43493 44206 44652 48373 49166 49972 50508 54717 55614 58621 59582 66309 66978 68076 72956 73749 74958 83421 85583 86986 88412 89373 96746 98332 109434 111228 112437 115351 117242 119164 130479 132618 133956 145119 147498 149916 164151 166842 171166 173972 175863 178746 193492 198927 218868 221247 224874 226981 230702 234484 256749 260958 265236 268119 287339 290238 294996 328302 333684 342332 346053 351726 357492 387283 391437 397854 435357 442494 449748 453962 461404 513498 521916 527589 536238 565409 574678 580476 656604 680943 685193 692106 703452 762073 770247 774566 782874 795708 862017 870714 884988 907924 923521 1026996 1038159 1055178 1072476 1112579 1130818 1149356 1161849 1348283 1361886 1370386 1384212 1499563 1524146 1540494 1549132 1565748 1696227 1724034 1741428 1817251 1847042 2042829 2055579 2076318 2110356 2225158 2261636 2286219 2323698 2586051 2653073 2696566 2723772 2740772 2770563 2950753 2999126 3048292 3080988 3337737 3392454 3448068 3485547 3575881 3634502 3694084 4044849 4085658 4111158 4152636 4450316 4498689 4572438 4647396 5088681 5172102 5220563 5306146 5393132 5451753 5541126 5901506 5998252 6166737 6675474 6784908 6858657 6971094 7036411 7151762 7269004 7959219 8089698 8171316 8222316 8311689 8852259 8907509 8997378 9144876 10013211 10177362 10344204 10441126 10612292 10727643 10903506 11082252 11803012 12005773 12134547 12333474 13350948 13496067 13717314 13845841 13942188 14072822 14303524 15661689 15918438 16179396 16355259 16623378 17527679 17704518 17815018 17994756 20026422 20354724 20882252 21109233 21240983 21455286 21807012 23624263 23877657 24011546 24269094 24666948 26556777 26722527 26992134 27434628 27691682 28145644 31323378 31836876 32182929 32710518 33246756 34489949 35055358 35409036 35630036 36017319 40052844 41537523 41796773 42218466 42481966 42910572 46486453 46985067 47248526 47755314 48023092 48538188 52583037 53113554 53445054 53984268 55383364 56334781 62646756 63327699 63722949 64365858 65421036 67867319 68979898 70110716 70872789 72034638 80167581 82245263 83075046 83593546 84436932 84963932 91473343 92972906 93970134 94497052 95510628 103469847 105166074 106227108 106890108 108051957 110852311 112669562 124612569 125390319 126655398 127445898 128731716 135734638 137959796 139459359 141745578 144069276 157749111 160335162 161837453 164490526 166150092 167187092 169004343 179995933 182946686 185945812 187940268 191168847 203601957 206939694 210332148 212618367 216103914 218128741 221704622 225339124 246735789 249225138 250780638 253310796 254891796 271469276 274420029 276132779 278918718 283491156 310409541 315498222 318454343 320670324 323674906 328981052 332556933 338008686 359991866 365893372 376170957 382337694 407203914 413879388 418378077 425236734 429221071 432207828 436257482 443409244 485512359 493471578 498450276 501561276 507013029 539987799 543358049 548840058 552265558 557837436 610805871 620819082 630996444 636908686 647349812 654386223 665113866 676017372 719983732 732352153 740207367 752341914 764675388 814407828 823260087 828398337 836756154 850473468 858442142 872514964 955363029 971024718 986943156 997670799 1014026058 1069188419 1079975598 1086716098 1097680116 1104531116 1221611742 1241638164 1273817372 1287663213 1295699963 1308772446 1330227732 1441080043 1456537077 1464704306 1480414734 1504683828 1619963397 1630074147 1646520174 1656796674 1673512308 1716884284 1910726058 1942049436 1963158669 1995341598 2028052116 2103886889 2138376838 2159951196 2173432196 2197056459 2443223484 2485195011 2549603153 2575326426 2591399926 2617544892 2835673633 2866089087 2882160086 2913074154 2929408612 2960829468 3207565257 3239926794 3260148294 3293040348 3313593348 3436421641 3821452116 3862989639 3887099889 3926317338 3990683196 4139906459 4207773778 4276753676 4323240129 4394112918 4890222441 4970390022 5016961043 5099206306 5150652852 5182799852 5579873923 5671347266 5732178174 5764320172 5826148308 6311660667 6415130514 6479853588 6520296588 6591169377 6761990971 6872843282 7648809459 7725979278 7774199778 7852634676 8279812918 8415547556 8507020899 8646480258 8788225836 9622695771 9780444882 9872084633 9940780044 10033922086 10198412612 10309264923 11159747846 11342694532 11464356348 11661299667 12419719377 12623321334 12830261028 12969720387 13182338754 13305853201 13523981942 13745686564 15050883129 15297618918 15451958556 15548399556 16559625836 16739621769 16844099519 17014041798 17292960516 18934982001 19245391542 19560889764 19744169266 20067844172 20285972913 20618529846 22319495692 22946428377 23322599334 24839438754 25246642668 25521062697 25939440774 26364677508 26611706402 27047963884 29616253899 30101766258 30595237836 30927794769 33144840989 33479243538 33688199038 34028083596 37259158131 37869964002 38490783084 39488338532 39917559603 40571945826 41237059692 44673481333 45152649387 45892856754 46645198668 49678877508 50218865307 50532298557 51042125394 51878881548 53223412804 59232507798 60203532516 60857918739 61855589538 65220493559 66289681978 66958487076 67376398076 74518316262 75739928004 79037697743 79835119206 81143891652 87905882623 88848761697 89346962666 90305298774 91785713508 99434522967 100437730614 101064597114 102084250788 118465015596 119752678809 121715837478 123711179076 128337100229 130440987118 132579363956 134020443999 149036632524 151596895671 155525792333 158075395486 159670238412 172976091613 175811765246 177697523394 178693925332 180610597548 195661480677 198869045934 200875461228 202129194228 209621720101 237113093229 239505357618 243431674956 256674200458 260881974236 263717647869 268040887998 298303568901 303193791342 306034623623 311051584666 316150790972 345952183226 351623530492 355395046788 385011300687 391322961354 397738091868 402061331997 412481449231 419243440202 466577376999 474226186458 479010715236 513348400916 518928274839 527435295738 536081775996 586984442031 596607137802 606387582684 612069247246 622103169332 628865160303 691904366452 711339279687 770022601374 782645922708 791152943607 804122663994 824962898462 838486880404 918103870869 933154753998 948452372916 1027490070659 1037856549678 1054870591476 1155033902061 1173968884062 1193214275604 1224138494492 1237444347693 1257730320606 1399732130997 1422678559374 1540045202748 1556784824517 1582305887214 1608245327988 1649925796924 1836207741738 1866309507996 1886595480909 2021835300329 2054980141318 2075713099356 2310067804122 2347937768124 2474888695386 2515460641212 2725082361313 2754311612607 2799464261994 2845357118748 3082470211977 3113569649034 3164611774428 3672415483476 3712333043079 3773190961818 3978450107099 4043670600658 4109960282636 4620135608244 4821299562323 4949777390772 5362258840003 5450164722626 5508623225214 5598928523988 6065505900987 6164940423954 6227139298068 7424666086158 7546381923636 7956900214198 8087341201316 8175247083939 9247410635931 9487073332313 9642599124646 10724517680006 10900329445252 11017246450428 11935350321297 12131011801974 12329880847908 12786924926161 14463898686969 14849332172316 15913800428396 16086776520009 16350494167878 18196517702961 18494821271862 18974146664626 19285198249292 21449035360012 23870700642594 24262023603948 24525741251817 25573849852322 28461219996939 28927797373938 32173553040018 32700988335756 35806050963891 36393035405922 36989642543724 37948293329252 38360774778483 43391696060907 47741401285188 48260329560027 49051482503634 51147699704644 56922439993878 57855594747876 62676894310199 64347106080036 71612101927782 72786070811844 76721549556966 85383659990817 86783392121814 96520659120054 98102965007268 113844879987756 115082324335449 123331953320069 125353788620398 143224203855564 153443099113932 166230024040093 170767319981634 173566784243628 188030682930597 193041318240108 230164648670898 246663906640138 250707577240796 294099273301703 332460048080186 341534639963268 369995859960207 376061365861194 460329297341796 493327813280276 498690072120279 564092048791791 588198546603406 664920096160372 739991719920414 752122731722388 882297819905109 997380144240558 1109987579880621 1128184097583582 1176397093206812 1479983439840828 1496070216360837 1764595639810218 1994760288481116 2219975159761242 2256368195167164 2646893459715327 2992140432721674 3529191279620436 3823290552922139 4439950319522484 5293786919430654 5984280865443348 7646581105844278 10587573838861308 11469871658766417 15293162211688556 22939743317532834 34409614976299251 45879486635065668 68819229952598502 137638459905197004
- Sum of all divisors σ(n): 410738859767636400
- Sum of proper divisors (its aliquot sum) s(n): 273100399862439396
- 137638459905197004 is an abundant number, because the sum of its proper divisors (273100399862439396) is greater than itself. Its abundance is 135461939957242392
Bases of 137638459905197004
- Binary: 1111010001111110101110011001101100001010011000011110011002
- Hexadecimal: 0x1E8FD733614C3CC
- Base-36: 11N8RFKRTWB0
Squares and roots of 137638459905197004
- 137638459905197004 squared (1376384599051970042) is 18944345645074523263335288050576016
- 137638459905197004 cubed (1376384599051970043) is 2607470558499783242787026062301802695457754157456064
-
The
square root of 137638459905197004 is 370996576.6758461667 -
The
cube root of 137638459905197004 is 516313.2473742509
Scales and comparisons
How big is 137638459905197004?- 137,638,459,905,197,004 seconds is equal to 4,376,477,281 years, 14 weeks, 2 days, 5 hours, 23 minutes, 24 seconds.
-
To count from 1 to 137,638,459,905,197,004 would take you about thirteen billion, one hundred twenty-nine million, four hundred thirty-one thousand, eight hundred forty-three 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 137638459905197004 cubic inches would be around 43026.1 feet tall.
Recreational maths with 137638459905197004
- 137638459905197004 backwards is 400791509954836731
- The number of decimal digits it has is: 18
- The sum of 137638459905197004's digits is 81
- More coming soon!
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The information we have on file for 137638459905197004 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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