137113311745872
137,113,311,745,872 is an even composite number composed of nine prime numbers multiplied together.
What does the number 137113311745872 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1920 divisors.
137113311745872 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 137113311745872:
24 × 32 × 7 × 11 × 19 × 73 × 113 × 257 × 307
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 19 × 73 × 113 × 257 × 307)See below for interesting mathematical facts about the number 137113311745872 from the Numbermatics database.
Names of 137113311745872
- Cardinal: 137113311745872 can be written as One hundred thirty-seven trillion, one hundred thirteen billion, three hundred eleven million, seven hundred forty-five thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 1.37113311745872 × 1014
Factors of 137113311745872
Divisors of 137113311745872
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 28 33 36 38 42 44 48 56 57 63 66 72 73 76 77 84 88 99 112 113 114 126 132 133 144 146 152 154 168 171 176 198 209 219 226 228 231 252 257 264 266 292 304 307 308 336 339 342 396 399 418 438 452 456 462 504 511 514 528 532 584 614 616 627 657 678 684 693 771 791 792 798 803 836 876 904 912 921 924 1008 1017 1022 1028 1064 1168 1197 1228 1232 1243 1254 1314 1356 1368 1386 1387 1463 1533 1542 1582 1584 1596 1606 1672 1752 1799 1808 1842 1848 1881 2034 2044 2056 2128 2147 2149 2313 2373 2394 2409 2456 2486 2508 2628 2712 2736 2763 2772 2774 2827 2926 3066 3084 3164 3192 3212 3344 3377 3504 3598 3684 3696 3729 3762 4068 4088 4112 4161 4294 4298 4389 4599 4626 4746 4788 4818 4883 4912 4972 5016 5256 5397 5424 5526 5544 5548 5621 5654 5833 5852 6132 6168 6328 6384 6424 6441 6447 6754 7119 7196 7227 7368 7458 7524 8136 8176 8249 8322 8481 8588 8596 8701 8778 9198 9252 9492 9576 9636 9709 9766 9944 10032 10131 10512 10794 11052 11088 11096 11187 11242 11308 11666 11704 12264 12336 12483 12656 12848 12882 12894 13167 13508 14238 14392 14454 14649 14736 14916 15029 15048 15257 16191 16272 16498 16644 16863 16962 17176 17192 17402 17499 17556 18396 18504 18761 18984 19152 19272 19323 19341 19418 19532 19789 19888 20262 21588 22104 22192 22374 22411 22484 22616 23332 23408 23617 23639 24528 24747 24966 25443 25764 25788 26103 26334 27016 28476 28784 28908 29041 29127 29298 29832 30058 30096 30393 30514 32382 32996 33288 33726 33924 34181 34352 34384 34691 34804 34998 35112 36792 37008 37522 37968 38544 38646 38682 38836 39064 39578 40524 40831 43176 43947 44208 44748 44822 44968 45087 45232 45771 46664 47234 47278 49494 49932 50589 50886 51528 51576 52206 52497 52668 53713 54032 56283 56952 57743 57816 58082 58254 58596 59367 59664 60116 60786 61028 64163 64764 65992 66576 67233 67452 67848 68362 69382 69608 69996 70224 70851 70917 73584 74241 75044 77292 77364 77672 78128 78309 78899 79156 81048 81662 86352 87123 87381 87894 89496 89644 89936 90174 90739 91542 93328 94468 94556 98988 99864 101178 101772 102543 103056 103152 104073 104412 104994 105336 106799 107426 112566 113904 115486 115632 116164 116508 117192 118734 120232 121572 122056 122493 128326 129528 131327 131984 134466 134904 135261 135696 136724 137313 138764 139216 139992 141702 141834 148482 150088 154584 154728 155344 156618 156731 156877 157798 158312 161139 162096 163324 165319 168849 173229 174246 174762 175788 178101 178992 179288 180348 181478 183084 188936 189112 192489 197976 199728 201699 202356 203287 203544 205086 206371 208146 208824 209988 210672 212553 212751 213598 214852 225132 230972 232328 233016 234384 236697 237468 240464 242837 243144 244112 244986 246521 256652 259056 261369 262654 268932 269808 270522 272217 273448 274626 277528 279984 283404 283668 296964 300176 307629 309168 309456 312219 313236 313462 313754 315596 316624 319451 320397 322278 326648 330638 337698 346458 348492 349524 351576 356202 356459 358576 360696 362956 366168 367479 375991 377872 378224 381601 384978 393981 395952 403398 404712 406574 407088 410172 412742 416292 417648 419976 425106 425502 425809 427196 429704 449141 450264 461944 464656 466032 470193 470631 473394 474936 483417 485674 486288 489972 493042 495957 513304 519687 522738 525308 537864 541044 544434 546896 549252 551779 552293 555056 566808 567336 577467 593928 609861 615258 619113 624438 626472 626924 627508 631192 635173 638902 640794 644556 653296 659129 661276 675396 692916 696984 699048 703152 710091 712404 712918 721392 725912 728511 732336 734958 739563 751982 763202 769956 787962 806796 809424 813148 816651 820344 825484 832584 839952 850212 851004 851618 854392 859408 867889 898282 900528 923888 940386 941262 946788 949872 958353 961191 966834 971348 979944 986084 991914 1026608 1039374 1045476 1050616 1069377 1075728 1082088 1088868 1097117 1098504 1103558 1104586 1127973 1133616 1134672 1144803 1154934 1181943 1187856 1219722 1230516 1238226 1248876 1252944 1253848 1255016 1262384 1270346 1277427 1277804 1281588 1289112 1318258 1322552 1347423 1350792 1385832 1393968 1398096 1410579 1411893 1420182 1424808 1425836 1444597 1451824 1457022 1469916 1479126 1487871 1499081 1503964 1526404 1539912 1575924 1613592 1626296 1633302 1640688 1650968 1655337 1656879 1665168 1700424 1702008 1703236 1708784 1724041 1725647 1735778 1796564 1829583 1857339 1880772 1882524 1893576 1905519 1916706 1922382 1933668 1942696 1959888 1972168 1977387 1983828 2078748 2090952 2101232 2119993 2138754 2164176 2177736 2185533 2194234 2197008 2207116 2209172 2218689 2236157 2255946 2289606 2309868 2363886 2439444 2461032 2476452 2495213 2497752 2507696 2510032 2532443 2540692 2554854 2555608 2563176 2578224 2603667 2636516 2645104 2671207 2694846 2701584 2771664 2821158 2823786 2840364 2849616 2851672 2875059 2889194 2914044 2939832 2958252 2975742 2980663 2998162 3007928 3052808 3079824 3151848 3208131 3227184 3252592 3266604 3291351 3301936 3310674 3313758 3383919 3400848 3404016 3406472 3434409 3448082 3451294 3471556 3593128 3659166 3714678 3761544 3765048 3787152 3811038 3832281 3833412 3844764 3862453 3867336 3885392 3921049 3944336 3954774 3967656 4042269 4157496 4181904 4239986 4277508 4333791 4355472 4371066 4388468 4414232 4418344 4437378 4472314 4497243 4511892 4579212 4613903 4619736 4683899 4727772 4878888 4922064 4952904 4966011 4970637 4990426 4995504 5064886 5081384 5109708 5111216 5126352 5172123 5176941 5207334 5273032 5342414 5389692 5642316 5647572 5680728 5703344 5716557 5750118 5759627 5778388 5828088 5879664 5916504 5932161 5951484 5961326 5996324 6015856 6069569 6075223 6105616 6303696 6359979 6416262 6533208 6582702 6621348 6627516 6708471 6767838 6812944 6868818 6896164 6902588 6943112 7186256 7250419 7318332 7429356 7485639 7523088 7530096 7597329 7622076 7664562 7666824 7689528 7724906 7734672 7811001 7842098 7909548 7935312 8013621 8084538 8314992 8479972 8555016 8667582 8742132 8776936 8828464 8836688 8874756 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51836643 52005492 52661616 53181303 53493522 53651934 53667768 53966916 54142704 54626121 54677007 54894686 54950544 55366836 55713746 56206788 58003352 59359804 59885112 60778632 61316496 61799248 62065476 62123292 62409109 62488008 62736784 62961402 63355897 64108968 64676304 65253771 65574586 65959564 69115524 69340656 69524154 69959769 70578882 70908404 71324696 71535912 71955888 72409722 72834828 72902676 73822448 74942384 76319748 78992424 79456176 79530192 80240283 80501652 80559734 80634778 82342029 82753968 82831056 83050254 83570619 83948536 84310182 84973966 87005028 89039706 89827668 91167948 91464912 92154032 92698872 93279692 94105176 94442103 94914576 96163452 96232834 96546296 97113104 97203568 98071457 98361879 98939346 101505866 101759664 103673286 104010984 106362606 106987044 107303868 107335536 107933832 108614583 109252242 109354014 109432913 109789372 110733672 111427492 112413576 115429237 116006704 118719608 119770224 120839601 120952167 121557264 124130952 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296818038 304517598 305278992 319087818 320961132 322006608 322238936 322539112 326478922 328298739 329368116 332201016 334282476 336814919 337240728 338792306 339895864 346287711 348020112 356158824 359310672 362518803 362856501 364671792 373118768 374454654 377768412 380135382 382382847 384653808 384931336 389996222 392285828 393447516 395757384 406023464 414693144 419758614 425450424 427948176 429215472 433047753 434458332 437008968 437416056 437731652 439157488 443078537 443491279 445709968 456776397 461716948 483358404 483808668 489718383 494052174 499272872 501423714 503691216 506847176 508188459 509843796 522030168 524596688 529280587 534238236 556193232 559678152 561681981 563918138 564631056 570203073 577397004 579277776 584994333 588428742 590171274 593636076 609035196 638175636 641922264 644477872 645078224 650837851 652957844 656597478 658736232 664402032 668564952 673629838 674481456 677584612 679791728 686500199 692575422 712317648 725037606 725713002 748909308 755536824 760270764 764765694 766030391 769862672 779992444 784571656 786895032 791514768 812046928 829386288 839517228 845877207 850900848 866095506 868916664 874017936 874832112 875463304 882643113 886157074 886982558 913552794 923433896 966716808 967617336 979436766 984896217 988104348 998545744 1002847428 1010444757 1013694352 1016376918 1019687592 1038863133 1044060336 1058561174 1068476472 1119356304 1123363962 1127836276 1140406146 1154794008 1169988666 1176857484 1180342548 1185773071 1187272152 1203762043 1218070392 1276351272 1283844528 1301675702 1305915688 1313194956 1317472464 1329235611 1330473837 1337129904 1347259676 1355169224 1373000398 1385150844 1450075212 1451426004 1469155149 1497818616 1511073648 1520541528 1524565377 1529531388 1532060782 1559984888 1569143312 1573790064 1587841761 1679034456 1691754414 1732191012 1737833328 1750926608 1754982999 1765286226 1772314148 1773965116 1827105588 1846867792 1863357683 1933433616 1935234672 1952513553 1958873532 1969792434 1976208696 2005694856 2020889514 2032753836 2039375184 2059500597 2077726266 2117122348 2136952944 2246727924 2255672552 2280812292 2298091173 2309588016 2339977332 2353714968 2360685096 2371546142 2374544304 2407524086 2436140784 2537631621 2552702544 2603351404 2611831376 2626389912 2658471222 2660947674 2694519352 2710338448 2746000796 2770301688 2900150424 2902852008 2938310298 2995637232 3031334271 3041083056 3049130754 3059062776 3064121564 3101549759 3119969776 3175683522 3358068912 3383508828 3464382024 3509965998 3530572452 3544628296 3547930232 3557319213 3611286129 3654211176 3704964109 3726715366 3905027106 3917747064 3939584868 3952417392 3987706833 3991421511 4011389712 4041779028 4065507672 4119001194 4155452532 4234244696 4493455848 4511345104 4555864957 4561624584 4596182346 4679954664 4707429936 4721370192 4743092284 4763525283 4815048172 5075263242 5206702808 5252779824 5316942444 5321895348 5389038704 5492001592 5540603376 5590073049 5800300848 5805704016 5857540659 5876620596 6062668542 6098261508 6118125552 6128243128 6178501791 6203099518 6351367044 6767017656 6894273519 6928764048 7019931996 7061144904 7089256592 7095860464 7114638426 7159216361 7222572258 7308422352 7409928218 7453430732 7810054212 7835494128 7879169736 7975413666 7982843022 8083558056 8131015344 8238002388 8310905064 8426334301 8468489392 8986911696 9111729914 9123249168 9192364692 9304649277 9359909328 9486184568 9527050566 9630096344 10150526484 10413405616 10633884888 10643790696 10671957639 10833858387 10984003184 11114892327 11180146098 11715081318 11753241192 12125337084 12196523016 12256486256 12357003582 12365919169 12406199036 12702734088 13043503781 13534035312 13667594871 13788547038 14039863992 14122289808 14229276852 14318432722 14445144516 14819856436 14906861464 15620108424 15758339472 15950827332 15965686044 16167116112 16476004776 16621810128 16770219147 16852668602 18223459828 18384729384 18609298554 18972369136 19054101132 19260192688 20301052968 21267769776 21287581392 21343915278 21477649083 21667716774 22229784654 22360292196 23430162636 23506482384 24250674168 24393046032 24714007164 24731838338 24812398072 25279002903 25405468176 26087007562 27335189742 27577094076 27913947831 28079727984 28458553704 28636865444 28890289032 29639712872 29813722928 31240216848 31901654664 31931372088 32952009552 33344676981 33540438294 33705337204 36446919656 36769458768 37097757507 37218597108 38108202264 39130511343 40602105936 41002784613 42687830556 42955298166 43335433548 44459569308 44720584392 46860325272 48501348336 49428014328 49463676676 49624796144 50114514527 50558005806 52174015124 54670379484 55154188152 55827895662 56917107408 57273730888 57780578064 59279425744 63803309328 63862744176 64432947249 66689353962 67080876588 67410674408 72893839312 74195515014 74437194216 75837008709 76216404528 78261022686 82005569226 85375661112 85910596332 86561434183 86670867096 88919138616 89441168784 93720650544 98856028656 98927353352 100229029054 101116011612 104348030248 109340758968 110308376304 111293272521 111655791324 114547461776 117391534029 128865894498 133378707924 134161753176 134821348816 136025110859 148391030028 148874388432 150343543581 151674017418 156522045372 164011138452 170751322224 171821192664 173122868366 173341734192 177838277232 197854706704 200458058108 202232023224 208696060496 218681517936 222586545042 223311582648 234783068058 257731788996 259684302549 266757415848 268323506352 272050221718 296782060056 300687087162 303348034836 313044090744 328022276904 343642385328 346245736732 400916116216 404464046448 408075332577 445173090084 446623165296 451030630743 469566136116 515463577992 519368605098 533514831696 544100443436 593564120112 601374174324 606696069672 626088181488 656044553808 692491473464 779052907647 801832232432 816150665154 890346180168 902061261486 939132272232 952175776013 1030927155984 1038737210196 1088200886872 1202748348648 1213392139344 1224225997731 1384982946928 1558105815294 1632301330308 1780692360336 1804122522972 1878264544464 1904351552026 2077474420392 2176401773744 2405496697296 2448451995462 2856527328039 3116211630588 3264602660616 3608245045944 3808703104052 4154948840784 4896903990924 5713054656078 6232423261176 6529205321232 7216490091888 7617406208104 8569581984117 9793807981848 11426109312156 12464846522352 15234812416208 17139163968234 19587615963696 22852218624312 34278327936468 45704437248624 68556655872936 137113311745872
- Sum of all divisors σ(n): 518696441303040
- Sum of proper divisors (its aliquot sum) s(n): 381583129557168
- 137113311745872 is an abundant number, because the sum of its proper divisors (381583129557168) is greater than itself. Its abundance is 244469817811296
Bases of 137113311745872
- Binary: 111110010110100001011100011110110010111010100002
- Hexadecimal: 0x7CB42E3D9750
- Base-36: 1CLOZHNHW0
Squares and roots of 137113311745872
- 137113311745872 squared (1371133117458722) is 18800060257920680560709040384
- 137113311745872 cubed (1371133117458723) is 2577738522985457031747966885860124793294848
-
The
square root of 137113311745872 is 11709539.3481499517 -
The
cube root of 137113311745872 is 51565.5760304827
Scales and comparisons
How big is 137113311745872?- 137,113,311,745,872 seconds is equal to 4,359,779 years, 10 weeks, 16 hours, 31 minutes, 12 seconds.
-
To count from 1 to 137,113,311,745,872 would take you about ten million, eight hundred ninety-nine thousand, four hundred forty-seven 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 137113311745872 cubic inches would be around 4297.1 feet tall.
Recreational maths with 137113311745872
- 137113311745872 backwards is 278547113311731
- The number of decimal digits it has is: 15
- The sum of 137113311745872's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 137113311745872 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 137113311745872 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/137113311745872/
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Numbermatics. 2024. "Number 137113311745872 - Facts about the integer". https://numbermatics.com/n/137113311745872/
The information we have on file for 137113311745872 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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