137104946076384
137,104,946,076,384 is an even composite number composed of six prime numbers multiplied together.
What does the number 137104946076384 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
137104946076384 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137104946076384:
25 × 35 × 113 × 13 × 672 × 227
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 13 × 67 × 67 × 227)See below for interesting mathematical facts about the number 137104946076384 from the Numbermatics database.
Names of 137104946076384
- Cardinal: 137104946076384 can be written as One hundred thirty-seven trillion, one hundred four billion, nine hundred forty-six million, seventy-six thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.37104946076384 × 1014
Factors of 137104946076384
Divisors of 137104946076384
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 66 67 72 78 81 88 96 99 104 108 117 121 132 134 143 144 156 162 176 198 201 208 216 227 234 242 243 264 268 286 288 297 312 324 351 352 363 396 402 416 429 432 454 468 484 486 528 536 572 594 603 624 648 681 702 726 737 792 804 858 864 871 891 908 936 968 972 1053 1056 1072 1089 1144 1188 1206 1248 1287 1296 1331 1362 1404 1452 1474 1573 1584 1608 1716 1742 1782 1809 1816 1872 1936 1944 2043 2106 2144 2178 2211 2288 2376 2412 2497 2574 2592 2613 2662 2673 2724 2808 2904 2948 2951 3146 3159 3168 3216 3267 3432 3484 3564 3618 3632 3744 3861 3872 3888 3993 4086 4212 4356 4422 4489 4576 4719 4752 4824 4994 5148 5226 5324 5346 5427 5448 5616 5808 5896 5902 6129 6292 6318 6432 6534 6633 6864 6968 7128 7236 7264 7491 7722 7776 7839 7986 8107 8172 8424 8712 8844 8853 8978 9438 9504 9581 9648 9801 9988 10296 10452 10648 10692 10854 10896 11232 11583 11616 11792 11804 11979 12258 12584 12636 13068 13266 13467 13728 13936 14157 14256 14472 14982 15209 15444 15678 15972 16214 16281 16344 16848 17303 17424 17688 17706 17956 18387 18876 19162 19296 19602 19899 19976 20592 20904 21296 21384 21708 21792 22473 23166 23517 23584 23608 23958 24321 24516 25168 25272 26136 26532 26559 26934 27467 27872 28314 28512 28743 28944 29403 29964 30418 30888 31356 31944 32428 32461 32562 32688 33696 34606 34749 34848 35376 35412 35912 35937 36774 37752 38324 39204 39798 39952 40401 41184 41808 42471 42592 42768 43416 44946 45627 46332 47034 47216 47916 48642 49032 49379 50336 50544 51909 52272 53064 53118 53868 54934 55161 56628 57486 57888 58357 58806 59697 59928 60836 61776 62712 63888 64856 64922 65124 65376 67419 69212 69498 70551 70752 70824 71824 71874 72963 73548 75504 76648 78408 79596 79677 79904 80802 82401 83616 84942 85536 86229 86832 89177 89892 91254 92664 94068 94432 95832 97284 97383 98064 98758 101088 103818 104544 105391 106128 106236 107736 107811 109868 110322 113256 114972 116714 117612 119394 119856 121203 121672 123552 125424 127413 127776 129712 129844 130248 134838 136881 138424 138996 141102 141648 143648 143748 145926 147096 148137 151008 153296 155727 156816 159192 159354 161604 164802 167299 169884 172458 173664 175071 178354 179091 179784 182508 185328 188136 191664 194568 194766 196128 197516 197717 202257 207636 210782 211653 212256 212472 215472 215622 218889 219736 220644 226512 229944 233428 235224 238788 239031 239712 242406 243344 247203 250848 254826 258687 259424 259688 260496 267531 269676 273762 276848 277992 282204 283296 287496 291852 292149 294192 296274 302137 306592 311454 313632 316173 318384 318708 323208 323433 329604 334598 339768 344916 350142 356708 357071 358182 359568 363609 365016 370656 376272 382239 383328 389136 389532 395032 395434 404514 410643 415272 421564 423306 424944 430944 431244 437778 439472 441288 444411 453024 459888 466856 467181 470448 477576 478062 484812 486688 494406 501897 509652 517374 519376 520992 525213 535062 539352 543169 547524 553696 555984 564408 574992 583704 584298 588384 592548 593151 604274 606771 622908 632346 636768 637416 641927 646416 646866 656667 659208 669196 679536 689832 700284 713416 714142 716364 717093 719136 727218 730032 741609 752544 764478 776061 778272 779064 790064 790868 802593 809028 821286 830544 843128 846612 849888 862488 875556 876447 878944 882576 888822 906411 919776 933712 934362 940896 948519 955152 956124 969624 988812 1003794 1019003 1019304 1034748 1038752 1050426 1070124 1071213 1078704 1086338 1090827 1095048 1111968 1128816 1149984 1159301 1167408 1168596 1185096 1186302 1208548 1213542 1231929 1245816 1264692 1274832 1283854 1292832 1293732 1313334 1318416 1333233 1338392 1359072 1379664 1400568 1401543 1426832 1428284 1432728 1434186 1454436 1460064 1483218 1505691 1528956 1552122 1558128 1575639 1580128 1581736 1605186 1618056 1629507 1642572 1661088 1686256 1693224 1724976 1751112 1752894 1765152 1777644 1779453 1812822 1840289 1867424 1868724 1897038 1910304 1912248 1925781 1939248 1970001 1977624 2007588 2038006 2038608 2069496 2100852 2140248 2142426 2157408 2172676 2174887 2181654 2190096 2224827 2257632 2318602 2328183 2334816 2337192 2370192 2372604 2407779 2417096 2427084 2463858 2491632 2529384 2549664 2567708 2587464 2626668 2629341 2636832 2666466 2676784 2719233 2759328 2801136 2803086 2845557 2853664 2856568 2865456 2868372 2908872 2966436 3011382 3057009 3057912 3104244 3116256 3151278 3163472 3210372 3213639 3236112 3259014 3285144 3372512 3386448 3449952 3477903 3502224 3505788 3555288 3558906 3625644 3680578 3695787 3737448 3794076 3824496 3851562 3878496 3927781 3940002 3955248 3999699 4015176 4076012 4077216 4138992 4201704 4204629 4280496 4284852 4345352 4349774 4363308 4380192 4449654 4517073 4637204 4656366 4674384 4726917 4740384 4745208 4815558 4834192 4854168 4888521 4927716 4983264 5058768 5135416 5174928 5253336 5258682 5332932 5338359 5353568 5438466 5520867 5602272 5606172 5691114 5713136 5730912 5736744 5777343 5817744 5932872 5974859 6022764 6114018 6115824 6208488 6302556 6326944 6420744 6427278 6472224 6518028 6524661 6570288 6674481 6772896 6955806 7004448 7011576 7061197 7110576 7117812 7223337 7251288 7361156 7391574 7474896 7588152 7648992 7703124 7855562 7880004 7888023 7910496 7999398 8030352 8152024 8157699 8277984 8403408 8409258 8536671 8560992 8569704 8690704 8699548 8726616 8899308 9034146 9171027 9274408 9312732 9348768 9453834 9490416 9631116 9640917 9668384 9708336 9777042 9855432 10117536 10270832 10349856 10433709 10506672 10517364 10665864 10676718 10876932 11041734 11209033 11212344 11382228 11426272 11473488 11554686 11635488 11783343 11865744 11949718 11999097 12045528 12228036 12231648 12416976 12605112 12841488 12854556 13036056 13049322 13140576 13247039 13348962 13551219 13911612 14023152 14122394 14180751 14221152 14235624 14446674 14502576 14665563 14722312 14783148 14949792 15176304 15406248 15711124 15760008 15776046 15998796 16015077 16060704 16304048 16315398 16562601 16806816 16818516 17073342 17139408 17332029 17381408 17399096 17453232 17798616 17924577 18068292 18342054 18548816 18625464 18907668 18980832 19262232 19281834 19416672 19554084 19573983 19710864 20243179 20541664 20867418 21013344 21034728 21183591 21331728 21353436 21670011 21753864 22083468 22418066 22424688 22764456 22946976 23109372 23566686 23731488 23899436 23923757 23998194 24091056 24456072 24473097 24833952 25210224 25610013 25682976 25709112 26072112 26098644 26494078 26697924 27102438 27513081 27823224 28046304 28244788 28361502 28471248 28893348 28922751 29005152 29331126 29444624 29566296 30352608 30812496 31301127 31422248 31520016 31552092 31997592 32030154 32608096 32630796 33125202 33627099 33637032 34146684 34278816 34664058 34798192 34906464 35350029 35597232 35849154 36136584 36684108 37097632 37250928 37815336 38524464 38563668 39108168 39147966 39421728 39741117 40486358 40653657 41734836 42069456 42367182 42663456 42706872 43340022 43507728 43996689 44166936 44836132 44849376 45528912 46218744 47133372 47798872 47847514 47996388 48045231 48182112 48912144 48946194 49687803 50420448 51220026 51418224 51996087 52144224 52197288 52988156 53395848 53773731 54204876 55026162 55646448 56489576 56723004 56942496 57786696 57845502 58662252 58721949 58889248 59132592 60729537 61624992 62602254 62844496 63040032 63104184 63550773 63995184 64060308 65261592 66250404 67254198 67274064 68293368 69328116 69596384 70700058 71194464 71698308 71771271 72273168 73368216 73419291 74501856 75630672 77048928 77127336 77673167 78216336 78295932 79482234 80972716 81307314 82539243 83469672 84138912 84734364 85413744 86680044 86768253 87015456 87993378 88333872 89672264 91057824 92437488 93903381 94266744 95597744 95695028 95992776 96090462 97824288 97892388 99375606 100881297 102440052 102836448 103992174 104394576 105976312 106050087 106791696 107547462 108409752 110052324 111292896 112979152 113446008 115573392 115691004 117324504 117443898 118265184 119223351 121459074 123299363 125204508 125688992 126208368 127101546 127990368 128120616 130523184 131990067 132500808 134508396 134548128 136586736 138656232 141400116 143396616 143542542 144546336 145717429 146736432 146838582 149063409 151261344 154254672 155346334 155988261 156432672 156591864 158964468 161321193 161945432 162614628 165078486 166939344 169468728 170827488 173360088 173536506 175986756 176165847 176667744 179344528 182188611 184874976 187806762 188533488 190652319 191195488 191390056 191985552 192180924 195784776 198751212 201762594 204880104 207984348 208789152 211952624 212100174 213583392 215094924 215313813 216819504 220104648 225958304 226892016 231146784 231382008 233019501 234649008 234887796 238446702 242918148 246598726 247617729 250409016 252416736 254203092 256241232 261046368 263161327 263980134 265001616 269016792 273173472 277312464 281710143 282800232 286793232 287085084 291434858 293472864 293677164 298126818 302643891 308509344 310692668 311976522 313183728 317928936 318150261 322642386 323890864 325229256 330156972 333878688 338937456 346720176 347073012 351973512 352331694 357670053 358689056 364377222 369898089 375613524 377066976 381304638 382780112 383971104 384361848 391569552 397502424 403525188 409760208 415968696 423905248 424200348 430189848 430627626 433639008 437152287 440209296 447190227 453784032 462764016 466039002 469298016 469775592 476893404 483963579 485836296 493197452 495235458 500818032 508406184 512482464 526322654 527960268 528497541 530003232 538033584 546565833 554624928 563420286 565600464 571956957 573586464 574170168 582869716 587354328 596253636 605287782 621385336 623953044 626367456 635857872 636300522 645284772 645941439 647781728 650458512 660313944 677874912 693440352 694146024 699058503 703947024 704663388 715340106 728754444 739796178 751227048 762609276 765560224 768723696 783139104 789483981 795004848 807050376 819520416 831937392 848400696 860379696 861255252 874304574 880418592 894380454 907931673 925528032 932078004 939551184 953786808 954450783 967927158 971672592 986394904 990470916 1001636064 1016812368 1052645308 1055920536 1056995082 1073010159 1076067168 1093131666 1109694267 1126840572 1131200928 1143913914 1148340336 1165739432 1174708656 1192507272 1210575564 1242770672 1247906088 1271715744 1272601044 1290569544 1291882878 1300917024 1311456861 1320627888 1356292993 1388292048 1398117006 1407894048 1409326776 1430680212 1451890737 1457508888 1479592356 1502454096 1525218552 1537447392 1578967962 1590009696 1602891719 1614100752 1639697499 1663874784 1696801392 1715870871 1720759392 1722510504 1748609148 1788760908 1815863346 1864156008 1879102368 1907573616 1908901566 1935854316 1937824317 1943345184 1972789808 1980941832 2033624736 2097175509 2105290616 2111841072 2113990164 2146020318 2186263332 2219388534 2253681144 2287827828 2296680672 2331478864 2349417312 2368451943 2385014544 2421151128 2485541344 2495812176 2545202088 2581139088 2583765756 2622913722 2641255776 2712585986 2723795019 2776584096 2796234012 2818653552 2861360424 2903781474 2915017776 2959184712 3004908192 3050437104 3157935924 3205783438 3219030477 3228201504 3279394998 3329082801 3393602784 3431741742 3445021008 3497218296 3577521816 3631726692 3728312016 3815147232 3817803132 3871708632 3875648634 3934370583 3945579616 3961883664 4068878979 4194351018 4210581232 4223682144 4227980328 4292040636 4372526664 4438777068 4507362288 4575655656 4662957728 4736903886 4770029088 4808675157 4842302256 4919092497 4991624352 5090404176 5162278176 5167531512 5245827444 5425171972 5447590038 5592468024 5637307104 5722720848 5807562948 5813472951 5830035552 5918369424 6100874208 6291526527 6315871848 6411566876 6438060954 6558789996 6658165602 6863483484 6890042016 6994436592 7105355829 7155043632 7263453384 7456624032 7635606264 7743417264 7751297268 7868741166 7923767328 8137757958 8388702036 8421162464 8455960656 8584081272 8745053328 8877554136 9014724576 9151311312 9473807772 9617350314 9684604512 9838184994 9987248403 10180808352 10335063024 10491654888 10850343944 10895180076 11184936048 11445441696 11615125896 11626945902 11803111749 11836738848 12206636937 12583053054 12631743696 12823133752 12876121908 13117579992 13316331204 13726966968 13988873184 14210711658 14310087264 14426025471 14526906768 15271212528 15486834528 15502594536 15737482332 16275515916 16777404072 16911921312 17168162544 17490106656 17631808909 17755108272 18302622624 18874579581 18947615544 19234700628 19676369988 19974496806 20670126048 20983309776 21316067487 21700687888 21790360152 22369872096 23230251792 23253891804 23606223498 24413273874 25166106108 25263487392 25646267504 25752243816 26235159984 26632662408 27453933936 28421423316 28852050942 29053813536 29961745209 30542425056 31005189072 31474964664 32551031832 33554808144 34336325088 35263617818 35409335247 35510216544 36619910811 37749159162 37895231088 38469401256 39352739976 39948993612 41966619552 42632134974 43278076413 43401375776 43580720304 46460503584 46507783608 47212446996 48826547748 50332212216 51292535008 51504487632 52470319968 52895426727 53265324816 54907867872 56842846632 57704101884 59923490418 62010378144 62949929328 63948202461 65102063664 67109616288 70527235636 70818670494 73239821622 75498318324 75790462176 76938802512 78705479952 79897987224 85264269948 86556152826 87161440608 93015567216 94424893992 97653095496 100664424432 103008975264 105790853454 106530649632 109859732433 113685693264 115408203768 119846980836 125899858656 127896404922 129834229239 130204127328 141054471272 141637340988 146479643244 150996636648 153877605024 157410959904 158686280181 159795974448 170528539896 173112305652 186031134432 188849787984 195306190992 201328848864 211581706908 219719464866 227371386528 230816407536 239693961672 255792809844 259668458478 282108942544 283274681976 292959286488 301993273296 317372560362 319591948896 329579197299 341057079792 346224611304 377699575968 389502687717 390612381984 423163413816 439438929732 461632815072 476058840543 479387923344 511585619688 519336916956 564217885088 566549363952 585918572976 603986546592 634745120724 659158394598 682114159584 692449222608 779005375434 846326827632 878877859464 952117681086 958775846688 1023171239376 1038673833912 1133098727904 1171837145952 1269490241448 1318316789196 1384898445216 1428176521629 1558010750868 1692653655264 1757755718928 1904235362172 2046342478752 2077347667824 2538980482896 2636633578392 2856353043258 3116021501736 3515511437856 3808470724344 4154695335648 4284529564887 5077960965792 5273267156784 5712706086516 6232043003472 7616941448688 8569059129774 10546534313568 11425412173032 12464086006944 15233882897376 17138118259548 22850824346064 34276236519096 45701648692128 68552473038192 137104946076384
- Sum of all divisors σ(n): 488342948550912
- Sum of proper divisors (its aliquot sum) s(n): 351238002474528
- 137104946076384 is an abundant number, because the sum of its proper divisors (351238002474528) is greater than itself. Its abundance is 214133056398144
Bases of 137104946076384
- Binary: 111110010110010001110111001101110011010111000002
- Hexadecimal: 0x7CB23B9B9AE0
- Base-36: 1CLL54Y600
Squares and roots of 137104946076384
- 137104946076384 squared (1371049460763842) is 18797766238608164396362515456
- 137104946076384 cubed (1371049460763843) is 2577266726500844071092251307270799756591104
-
The
square root of 137104946076384 is 11709182.1267065447 -
The
cube root of 137104946076384 is 51564.5272887911
Scales and comparisons
How big is 137104946076384?- 137,104,946,076,384 seconds is equal to 4,359,513 years, 9 weeks, 6 days, 19 hours, 26 minutes, 24 seconds.
-
To count from 1 to 137,104,946,076,384 would take you about ten million, eight hundred ninety-eight thousand, seven hundred eighty-two 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 137104946076384 cubic inches would be around 4297 feet tall.
Recreational maths with 137104946076384
- 137104946076384 backwards is 483670649401731
- The number of decimal digits it has is: 15
- The sum of 137104946076384's digits is 63
- 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 137104946076384 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 137104946076384 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/137104946076384/
Chicago style:
Numbermatics. 2024. "Number 137104946076384 - Facts about the integer". https://numbermatics.com/n/137104946076384/
The information we have on file for 137104946076384 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 137104946076384, math, Factors of 137104946076384, curriculum, school, college, exams, university, Prime factorization of 137104946076384, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, one hundred four billion, nine hundred forty-six million, seventy-six thousand, three hundred eighty-four.