13137441807885120
13,137,441,807,885,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 13137441807885120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1890 divisors.
13137441807885120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 13137441807885120:
26 × 34 × 5 × 112 × 612 × 10612
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 61 × 61 × 1061 × 1061)See below for interesting mathematical facts about the number 13137441807885120 from the Numbermatics database.
Names of 13137441807885120
- Cardinal: 13137441807885120 can be written as Thirteen quadrillion, one hundred thirty-seven trillion, four hundred forty-one billion, eight hundred seven million, eight hundred eighty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.313744180788512 × 1016
Factors of 13137441807885120
Divisors of 13137441807885120
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 61 64 66 72 80 81 88 90 96 99 108 110 120 121 122 132 135 144 160 162 165 176 180 183 192 198 216 220 240 242 244 264 270 288 297 305 320 324 330 352 360 363 366 396 405 432 440 480 484 488 495 528 540 549 576 594 605 610 648 660 671 704 720 726 732 792 810 864 880 891 915 960 968 976 990 1056 1061 1080 1089 1098 1188 1210 1220 1296 1320 1342 1440 1452 1464 1485 1584 1620 1647 1728 1760 1782 1815 1830 1936 1952 1980 2013 2112 2122 2160 2178 2196 2376 2420 2440 2592 2640 2684 2745 2880 2904 2928 2970 3168 3183 3240 3267 3294 3355 3520 3564 3630 3660 3721 3872 3904 3960 4026 4244 4320 4356 4392 4455 4752 4840 4880 4941 5184 5280 5305 5368 5445 5490 5808 5856 5940 6039 6336 6366 6480 6534 6588 6710 7128 7260 7320 7381 7442 7744 7920 8052 8235 8488 8640 8712 8784 8910 9504 9549 9680 9760 9801 9882 10065 10560 10610 10736 10890 10980 11163 11616 11671 11712 11880 12078 12732 12960 13068 13176 13420 14256 14520 14640 14762 14884 15840 15915 16104 16335 16470 16976 17424 17568 17820 18117 18605 19008 19098 19360 19520 19602 19764 20130 21220 21472 21780 21960 22143 22326 23232 23342 23760 24156 24705 25464 25920 26136 26352 26840 28512 28647 29040 29280 29524 29768 30195 31680 31830 32208 32670 32940 33489 33952 34848 35013 35136 35640 36234 36905 37210 38196 38720 39204 39528 40260 40931 42440 42944 43560 43920 44286 44652 46684 47520 47745 48312 49005 49410 50928 52272 52704 53680 54351 55815 57024 57294 58080 58355 58560 59048 59536 60390 63660 64416 64721 65340 65880 66429 66978 67904 69696 70026 71280 72468 73810 74420 76392 78408 79056 80520 81862 84880 85941 87120 87840 88572 89304 90585 93368 95040 95490 96624 98010 98820 100467 101856 104544 105039 105408 107360 108702 110715 111630 114588 116160 116710 118096 119072 120780 122793 127320 128381 128832 129442 130680 131760 132858 133956 140052 142560 143235 144936 147620 148840 152784 156816 158112 161040 163724 167445 169760 171882 174240 175065 175680 177144 178608 181170 186736 190980 193248 194163 196020 197640 199287 200934 203712 204655 209088 210078 214720 217404 221430 223260 229176 233420 236192 238144 241560 245586 254640 256762 258884 261360 263520 265716 267912 271755 280104 285120 286470 289872 295240 297680 301401 305568 313632 315117 316224 322080 323605 327448 332145 334890 339520 343764 348480 350130 354288 357216 362340 368379 373472 381960 385143 386496 388326 392040 395280 398574 401868 409310 420156 429705 434808 442860 446520 450241 458352 466840 472384 483120 491172 502335 509280 513524 517768 522720 525195 527040 531432 535824 543510 560208 572940 579744 582489 590480 595360 597861 602802 611136 613965 627264 630234 641905 644160 647210 654896 664290 669780 687528 700260 708576 711931 714432 724680 736758 746944 763920 770286 776652 784080 790560 797148 803736 818620 840312 859410 869616 885720 893040 900482 916704 933680 945351 966240 970815 982344 996435 1004670 1018560 1027048 1035536 1045440 1050390 1062864 1071648 1087020 1105137 1120416 1125721 1145880 1155429 1159488 1164978 1180960 1190720 1195722 1205604 1227930 1260468 1283810 1294420 1309792 1328580 1339560 1350723 1375056 1400520 1417152 1423862 1449360 1473516 1507005 1527840 1540572 1553304 1568160 1575585 1581120 1594296 1607472 1637240 1680624 1718820 1739232 1747467 1771440 1786080 1800964 1833408 1841895 1867360 1890702 1925715 1932480 1941630 1964688 1992870 2009340 2054096 2071072 2100780 2125728 2135793 2143296 2174040 2210274 2240832 2251205 2251442 2291760 2310858 2329956 2361920 2391444 2411208 2455860 2520936 2567620 2588840 2619584 2657160 2679120 2701446 2750112 2801040 2847724 2898720 2912445 2947032 2989305 3014010 3055680 3081144 3106608 3136320 3151170 3188592 3214944 3274480 3315411 3361248 3377163 3437640 3466287 3478464 3494934 3542880 3559655 3572160 3601928 3683790 3734720 3781404 3851430 3883260 3929376 3947981 3985740 4018680 4052169 4108192 4142144 4201560 4251456 4271586 4348080 4420548 4502410 4502884 4583520 4621716 4659912 4726755 4782888 4822416 4911720 5041872 5135240 5177680 5242401 5314320 5358240 5402892 5500224 5525685 5602080 5628605 5695448 5777145 5797440 5824890 5894064 5978610 6028020 6162288 6213216 6302340 6377184 6407379 6429888 6548960 6630822 6722496 6753615 6754326 6875280 6932574 6989868 7085760 7119310 7203856 7367580 7562808 7702860 7766520 7831241 7858752 7895962 7971480 8037360 8104338 8216384 8403120 8543172 8696160 8737335 8841096 9004820 9005768 9167040 9243432 9319824 9453510 9565776 9644832 9823440 10083744 10131489 10270480 10355360 10398861 10484802 10628640 10678965 10716480 10805784 11051370 11204160 11257210 11390896 11554290 11649780 11788128 11843943 11957220 12056040 12156507 12324576 12382931 12426432 12604680 12754368 12814758 13097920 13261644 13507230 13508652 13750560 13865148 13979736 14238620 14407712 14735160 15125616 15405720 15533040 15662482 15791924 15942960 16074720 16208676 16577055 16806240 16885815 17086344 17331435 17392320 17474670 17682192 18009640 18011536 18486864 18639648 18907020 19131552 19222137 19289664 19646880 19739905 20167488 20260845 20262978 20540960 20710720 20797722 20969604 21257280 21357930 21611568 22102740 22514420 22781792 23108580 23299560 23493723 23576256 23687886 23914440 24112080 24313014 24649152 24765862 25209360 25629516 26212005 26523288 27014460 27017304 27501120 27730296 27959472 28477240 28815424 29470320 30251232 30394467 30811440 31066080 31324964 31583848 31885920 32036895 32149440 32417352 33154110 33612480 33771630 34172688 34662870 34949340 35364384 35531829 36019280 36023072 36469521 36973728 37148793 37279296 37814040 38263104 38444274 39156205 39293760 39479810 40521690 40525956 41081920 41595444 41939208 42715860 43223136 43427791 44205480 45028840 45563584 46217160 46599120 46987446 47375772 47828880 48224160 48626028 49531724 50418720 50657445 51259032 51994305 52424010 53046576 54028920 54034608 55460592 55918944 56954480 57666411 58940640 59219715 60502464 60782535 60788934 61622880 61914655 62132160 62649928 63167696 63771840 64073790 64834704 66308220 67543260 68345376 68668981 69325740 69898680 70481169 70728768 71063658 72038560 72046144 72939042 73947456 74297586 75628080 76888548 78312410 78959620 81043380 81051912 83190888 83878416 85431720 86446272 86855582 88410960 90057680 91183401 92434320 93198240 93974892 94751544 95657760 96110685 96448320 97252056 99063448 100837440 101314890 102518064 103988610 104848020 106093152 106595487 108057840 108069216 110921184 111446379 111837888 113908960 115332822 117468615 117881280 118439430 121565070 121577868 123245760 123829310 125299856 126335392 128147580 129669408 130283373 132616440 135086520 136212241 136690752 137337962 138651480 139797360 140962338 142127316 144077120 145878084 148595172 151256160 151972335 153777096 156624820 157919240 162086760 162103824 166381776 167756832 170863440 173711164 176821920 177659145 180115360 182347605 182366802 184868640 185743965 186396480 187949784 189503088 191315520 192221370 194504112 198126896 202629780 205036128 206006943 207977220 209696040 211443507 212186304 213190974 216115680 216138432 217138955 221842368 222892758 227817920 230665644 234937230 236878860 243130140 243155736 247658620 250599712 252670784 256295160 259338816 260566746 265232880 270173040 272424482 274675924 277302960 279594720 281924676 284254632 288332055 291756168 297190344 302512320 303944670 307554192 313249640 315838480 319786461 324173520 324207648 332763552 334339137 335513664 341726880 343344905 347422328 352405845 353643840 355318290 360230720 364695210 364733604 369737280 371487930 375899568 379006176 384442740 389008224 390850119 396253792 405259560 408636723 410072256 412013886 415954440 419392080 422887014 426381948 432231360 434277910 445785516 455917005 461331288 469874460 473757720 477705701 486260280 486311472 495317240 501199424 512590320 521133492 530465760 532977435 540346080 544848964 549351848 554605920 557231895 559189440 563849352 568509264 576664110 583512336 594380688 607889340 615108384 618020829 626499280 631676960 634330521 639572922 648347040 648415296 651416865 665527104 668678274 681061205 683453760 686689810 694844656 704811690 710636580 729390420 729467208 742975860 751799136 755358791 758012352 768885480 778016448 781700238 792507584 810519120 817273446 824027772 831908880 838784160 845774028 852763896 868555820 891571032 911834010 922662576 939748920 947515440 955411402 972520560 972622944 990634480 1003017411 1025180640 1030034715 1042266984 1057217535 1060931520 1065954870 1080692160 1089697928 1098703696 1109211840 1114463790 1127698704 1137018528 1153328220 1167024672 1172550357 1188761376 1215778680 1225910169 1230216768 1236041658 1252998560 1263353920 1268661042 1279145844 1296694080 1302833730 1337356548 1362122410 1373379620 1389689312 1409623380 1421273160 1433117103 1458780840 1458934416 1485951720 1503598272 1510717582 1537770960 1563400476 1598932305 1621038240 1634546892 1648055544 1663817760 1671695685 1677568320 1691548056 1705527792 1737111640 1783142064 1823668020 1845325152 1854062487 1879497840 1895030880 1910822804 1945041120 1945245888 1954250595 1981268960 2006034822 2043183615 2050361280 2060069430 2084533968 2114435070 2131909740 2179395856 2197407392 2228927580 2255397408 2266076373 2274037056 2306656440 2334049344 2345100714 2377522752 2388528505 2431557360 2451820338 2472083316 2505997120 2537322084 2558291688 2605667460 2674713096 2724244820 2746759240 2779378624 2819246760 2842546320 2866234206 2917561680 2917868832 2971903440 3021435164 3075541920 3090104145 3126800952 3171652605 3197864610 3242076480 3269093784 3296111088 3327635520 3343391370 3383096112 3411055584 3474223280 3517651071 3566284128 3647336040 3677730507 3690650304 3708124974 3758995680 3776793955 3790061760 3821645608 3890082240 3908501190 3962537920 4012069644 4086367230 4120138860 4169067936 4188807841 4228870140 4263819480 4299351309 4358791712 4394814784 4457855160 4510794816 4532152746 4613312880 4690201428 4777057010 4863114720 4903640676 4944166632 5015087055 5074644168 5116583376 5211334920 5349426192 5448489640 5493518480 5562187461 5638493520 5685092640 5732468412 5835123360 5835737664 5862751785 5943806880 6042870328 6129550845 6151083840 6180208290 6253601904 6343305210 6395729220 6538187568 6592222176 6686782740 6766192224 6798229119 6822111168 6948446560 7035302142 7132568256 7165585515 7294672080 7355461014 7416249948 7517991360 7553587910 7643291216 7817002380 8024139288 8172734460 8240277720 8308946701 8338135872 8377615682 8457740280 8527638960 8598702618 8717583424 8915710320 9064305492 9226625760 9270312435 9380402856 9554114020 9726229440 9807281352 9888333264 10030174110 10149288336 10233166752 10422669840 10698852384 10896979280 10987036960 11033191521 11124374922 11276987040 11330381865 11370185280 11464936824 11670246720 11725503570 11887613760 12085740656 12259101690 12360416580 12507203808 12566423523 12686610420 12791458440 12898053927 13076375136 13184444352 13373565480 13532384448 13596458238 13896893120 14070604284 14331171030 14589344160 14710922028 14832499896 15107175820 15286582432 15634004760 16048278576 16345468920 16480555440 16617893402 16755231364 16915480560 17055277920 17197405236 17588255355 17831420640 18128610984 18388652535 18453251520 18540624870 18760805712 19108228040 19614562704 19776666528 20060348220 20298576672 20394687357 20466333504 20845339680 20944039205 21397704768 21496756545 21793958560 21974073920 22066383042 22248749844 22553974080 22660763730 22929873648 23451007140 24171481312 24518203380 24720833160 24926840103 25014407616 25132847046 25373220840 25582916880 25796107854 26152750272 26747130960 27192916476 27810937305 28141208568 28662342060 29178688320 29421844056 29664999792 30214351640 30573164864 31268009520 32096557152 32690937840 32961110880 33235786804 33510462728 33830961120 33991145595 34110555840 34394810472 35176510710 35662841280 36257221968 36777305070 37081249740 37521611424 37699270569 38216456080 38694161781 39229125408 39553333056 40120696440 40597153344 40789374714 41544733505 41690679360 41888078410 42993513090 43587917120 44132766084 44497499688 45321527460 45859747296 46076886251 46902014280 48342962624 49036406760 49441666320 49853680206 50265694092 50746441680 51165833760 51592215708 53494261920 54385832952 55165957605 55621874610 56282417136 57324684120 58843688112 59329999584 60428703280 61184062071 62536019040 62832117615 64193114304 64490269635 65381875680 65922221760 66471573608 67020925456 67661922240 67982291190 68789620944 70353021420 72514443936 73554610140 74162499480 74780520309 75043222848 75398541138 76432912160 77388323562 78458250816 80241392880 81578749428 83089467010 83776156820 85987026180 88265532168 88994999376 90643054920 91719494592 92153772502 93804028560 98072813520 98883332640 99707360412 100531388184 101492883360 101973436785 102331667520 103184431416 106988523840 108771665904 110331915210 111243749220 112564834272 113097811707 114649368240 117687376224 118659999168 120857406560 122368124142 124634200515 125072038080 125664235230 128980539270 130763751360 132943147216 134041850912 135964582380 137579241888 138230658753 140706042840 145028887872 147109220280 148324998960 149561040618 150797082276 152865824320 154776647124 160482785760 163157498856 166178934020 167552313640 171974052360 176531064336 177989998752 181286109840 184307545004 187608057120 188496352845 193470808905 196145627040 197766665280 199414720824 201062776368 202985766720 203946873570 206368862832 217543331808 220663830420 222487498440 224341560927 225129668544 226195623414 229298736480 230384431255 235374752448 241714813120 244736248284 249268401030 251328470460 257961078540 265886294432 268083701824 271929164760 275158483776 276461317506 281412085680 294218440560 296649997920 299122081236 301594164552 305920310355 309553294248 320965571520 326314997712 332357868040 335104627280 339293435121 343948104720 353062128672 355979997504 362572219680 368615090008 373902601545 375216114240 376992705690 386941617810 392291254080 398829441648 402125552736 407893747140 412737725664 414691976259 435086663616 441327660840 444974996880 448683121854 452391246828 458597472960 460768862510 489472496568 498536802060 502656940920 506845748761 515922157080 531772588864 543858329520 552922635012 562824171360 565489058535 588436881120 593299995840 598244162472 603188329104 611840620710 619106588496 652629995424 664715736080 670209254560 673024682781 678586870242 687896209440 691153293765 706124257344 725144439360 737230180016 747805203090 753985411380 773883235620 797658883296 804251105472 815787494280 825475451328 829383952518 882655321680 889949993760 897366243708 904782493656 921537725020 978944993136 997073604120 1005313881840 1013691497522 1031844314160 1087716659040 1105845270024 1121707804635 1125648342720 1130978117070 1176873762240 1196488324944 1206376658208 1223681241420 1238213176992 1244075928777 1305259990848 1329431472160 1340418509120 1346049365562 1357173740484 1375792418880 1382306587530 1474460360032 1495610406180 1507970822760 1520537246283 1547766471240 1595317766592 1631574988560 1658767905036 1696467175605 1765310643360 1779899987520 1794732487416 1809564987312 1843075450040 1957889986272 1994147208240 2010627763680 2027382995044 2063688628320 2073459881295 2175433318080 2211690540048 2243415609270 2261956234140 2392976649888 2412753316416 2447362482840 2476426353984 2488151857554 2534228743805 2658862944320 2692098731124 2714347480968 2764613175060 2948920720064 2991220812360 3015941645520 3041074492566 3095532942480 3263149977120 3317535810072 3365123413905 3392934351210 3530621286720 3589464974832 3619129974624 3686150900080 3732227786331 3915779972544 3988294416480 4021255527360 4054765990088 4127377256640 4146919762590 4423381080096 4486831218540 4523912468280 4561611738849 4785953299776 4894724965680 4976303715108 5068457487610 5384197462248 5428694961936 5529226350120 5982441624720 6031883291040 6082148985132 6191065884960 6220379643885 6526299954240 6635071620144 6730246827810 6785868702420 7178929949664 7238259949248 7372301800160 7464455572662 7602686231415 7976588832960 8109531980176 8293839525180 8846762160192 8973662437080 9047824936560 9123223477698 9789449931360 9952607430216 10136914975220 10768394924496 10857389923872 11058452700240 11964883249440 12063766582080 12164297970264 12382131769920 12440759287770 13270143240288 13460493655620 13571737404840 13684835216547 14357859899328 14744603600320 14928911145324 15205372462830 16219063960352 16587679050360 17947324874160 18095649873120 18246446955396 18661138931655 19578899862720 19905214860432 20273829950440 21536789848992 21714779847744 22116905400480 22808058694245 23929766498880 24328595940528 24881518575540 26540286480576 26920987311240 27143474809680 27369670433094 29857822290648 30410744925660 32438127920704 33175358100720 35894649748320 36191299746240 36492893910792 37322277863310 39810429720864 40547659900880 41054505649641 43073579697984 44233810800960 45616117388490 48657191881056 49763037151080 53841974622480 54286949619360 54739340866188 59715644581296 60821489851320 66350716201440 68424176082735 71789299496640 72985787821584 74644555726620 79620859441728 81095319801760 82109011299282 91232234776980 97314383762112 99526074302160 107683949244960 108573899238720 109478681732376 119431289162592 121642979702640 132701432402880 136848352165470 145971575643168 149289111453240 162190639603520 164218022598564 182464469553960 199052148604320 205272528248205 215367898489920 218957363464752 238862578325184 243285959405280 273696704330940 291943151286336 298578222906480 328436045197128 364928939107920 398104297208640 410545056496410 437914726929504 486571918810560 547393408661880 597156445812960 656872090394256 729857878215840 821090112992820 875829453859008 1094786817323760 1194312891625920 1313744180788512 1459715756431680 1642180225985640 2189573634647520 2627488361577024 3284360451971280 4379147269295040 6568720903942560 13137441807885120
- Sum of all divisors σ(n): 52271938960315074
- Sum of proper divisors (its aliquot sum) s(n): 39134497152429954
- 13137441807885120 is an abundant number, because the sum of its proper divisors (39134497152429954) is greater than itself. Its abundance is 25997055344544834
Bases of 13137441807885120
- Binary: 1011101010110001101111000010000011011101100011010000002
- Hexadecimal: 0x2EAC6F08376340
- Base-36: 3LCU1G5PW00
Squares and roots of 13137441807885120
- 13137441807885120 squared (131374418078851202) is 172592377255567850234207117414400
- 13137441807885120 cubed (131374418078851203) is 2267422312679577964148435541416197707586633728000
-
The
square root of 13137441807885120 is 114618680.0128370001 -
The
cube root of 13137441807885120 is 235959.2108949609
Scales and comparisons
How big is 13137441807885120?- 13,137,441,807,885,120 seconds is equal to 417,730,012 years, 37 weeks, 1 day, 7 hours, 12 minutes.
-
To count from 1 to 13,137,441,807,885,120 would take you about one billion, two hundred fifty-three million, one hundred ninety thousand and thirty-eight 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 13137441807885120 cubic inches would be around 19663.3 feet tall.
Recreational maths with 13137441807885120
- 13137441807885120 backwards is 02158870814473131
- The number of decimal digits it has is: 17
- The sum of 13137441807885120'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 13137441807885120 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 13137441807885120 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13137441807885120/
Chicago style:
Numbermatics. 2024. "Number 13137441807885120 - Facts about the integer". https://numbermatics.com/n/13137441807885120/
The information we have on file for 13137441807885120 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 13137441807885120, math, Factors of 13137441807885120, curriculum, school, college, exams, university, Prime factorization of 13137441807885120, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, one hundred thirty-seven trillion, four hundred forty-one billion, eight hundred seven million, eight hundred eighty-five thousand, one hundred twenty.