135372797195968800
135,372,797,195,968,800 is an even composite number composed of five prime numbers multiplied together.
135372797195968800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 135372797195968800:
25 × 34 × 52 × 139 × 197
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 13 × 13 × 13 × 13 × 13 × 13 × 197)See below for interesting mathematical facts about the number 135372797195968800 from the Numbermatics database.
Names of 135372797195968800
- Cardinal: 135372797195968800 can be written as One hundred thirty-five quadrillion, three hundred seventy-two trillion, seven hundred ninety-seven billion, one hundred ninety-five million, nine hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.353727971959688 × 1017
Factors of 135372797195968800
Divisors of 135372797195968800
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 65 72 75 78 80 81 90 96 100 104 108 117 120 130 135 144 150 156 160 162 169 180 195 197 200 208 216 225 234 240 260 270 288 300 312 324 325 338 351 360 390 394 400 405 416 432 450 468 480 507 520 540 585 591 600 624 648 650 675 676 702 720 780 788 800 810 845 864 900 936 975 985 1014 1040 1053 1080 1170 1182 1200 1248 1296 1300 1350 1352 1404 1440 1521 1560 1576 1620 1690 1755 1773 1800 1872 1950 1970 2025 2028 2080 2106 2160 2197 2340 2364 2400 2535 2561 2592 2600 2700 2704 2808 2925 2955 3042 3120 3152 3240 3380 3510 3546 3600 3744 3900 3940 4050 4056 4212 4225 4320 4394 4563 4680 4728 4925 5070 5122 5200 5265 5319 5400 5408 5616 5850 5910 6084 6240 6304 6480 6591 6760 7020 7092 7200 7605 7683 7800 7880 8100 8112 8424 8450 8775 8788 8865 9126 9360 9456 9850 10140 10244 10400 10530 10638 10800 10985 11232 11700 11820 12168 12675 12805 12960 13182 13520 13689 14040 14184 14775 15210 15366 15600 15760 15957 16200 16224 16848 16900 17550 17576 17730 18252 18720 18912 19700 19773 20280 20488 21060 21276 21600 21970 22815 23049 23400 23640 24336 25350 25610 26325 26364 26595 27040 27378 28080 28368 28561 29550 30420 30732 31200 31520 31914 32400 32955 33293 33696 33800 35100 35152 35460 36504 38025 38415 39400 39546 40560 40976 42120 42552 43940 44325 45630 46098 46800 47280 48672 50700 51220 52650 52728 53190 54756 54925 56160 56736 57122 59100 59319 60840 61464 63828 64025 64800 65910 66586 67600 68445 69147 70200 70304 70920 73008 76050 76830 78800 79092 79785 81120 81952 84240 85104 85683 87880 88650 91260 92196 93600 94560 98865 99879 101400 102440 105300 105456 106380 109512 109850 114075 114244 115245 118200 118638 121680 122928 127656 128050 131820 132975 133172 135200 136890 138294 140400 141840 142805 146016 152100 153660 157600 158184 159570 164775 166465 168480 170208 171366 175760 177300 177957 182520 184392 192075 197730 199758 202800 204880 207441 210600 210912 212760 219024 219700 228150 228488 230490 236400 237276 243360 245856 255312 256100 257049 263640 265950 266344 273780 276588 280800 283680 285610 296595 299637 304200 307320 316368 319140 329550 332930 342225 342732 345735 351520 354600 355914 365040 368784 371293 384150 395460 398925 399516 405600 409760 414882 421200 425520 428415 432809 438048 439400 456300 456976 460980 472800 474552 494325 499395 510624 512200 514098 527280 531900 532688 547560 553176 571220 576225 593190 599274 608400 614640 632736 638280 659100 665860 684450 685464 691470 709200 711828 714025 730080 737568 742586 768300 771147 790920 797850 799032 829764 832325 842400 851040 856830 865618 878800 889785 898911 912600 913952 921960 949104 988650 998790 1024400 1028196 1037205 1054560 1063800 1065376 1095120 1106352 1113879 1142440 1152450 1186380 1198548 1216800 1229280 1276560 1285245 1298427 1318200 1331720 1368900 1370928 1382940 1418400 1423656 1428050 1482975 1485172 1498185 1536600 1542294 1581840 1595700 1598064 1659528 1664650 1713660 1728675 1731236 1757600 1779570 1797822 1825200 1843920 1856465 1898208 1977300 1997580 2048800 2056392 2074410 2127600 2142075 2164045 2190240 2212704 2227758 2284880 2304900 2313441 2372760 2397096 2496975 2553120 2570490 2596854 2636400 2663440 2696733 2737800 2741856 2765880 2847312 2856100 2965950 2970344 2996370 3073200 3084588 3163680 3191400 3196128 3319056 3329300 3341637 3427320 3457350 3462472 3559140 3595644 3650400 3687840 3712930 3855735 3895281 3954600 3995160 4112784 4148820 4255200 4284150 4328090 4448925 4455516 4494555 4569760 4609800 4626882 4745520 4794192 4826809 4993950 5140980 5186025 5193708 5272800 5326880 5393466 5475600 5531760 5569395 5626517 5694624 5712200 5931900 5940688 5992740 6146400 6169176 6382800 6426225 6492135 6638112 6658600 6683274 6854640 6914700 6924944 7118280 7191288 7425860 7490925 7711470 7790562 7909200 7990320 8225568 8297640 8568300 8656180 8897850 8911032 8989110 9219600 9253764 9282325 9491040 9588384 9653618 9987900 10024911 10281960 10372050 10387416 10786932 10820225 10951200 11063520 11138790 11253034 11424400 11567205 11685843 11863800 11881376 11985480 12338352 12765600 12852450 12984270 13317200 13366548 13483665 13709280 13829400 13849888 14236560 14382576 14480427 14851720 14981850 15422940 15581124 15818400 15980640 16595280 16708185 16879551 17136600 17312360 17795700 17822064 17978220 18439200 18507528 18564650 19278675 19307236 19476405 19975800 20049822 20563920 20744100 20774832 21573864 21640450 22277580 22472775 22506068 22848800 23134410 23371686 23727600 23970960 24134045 24676704 25704900 25968540 26634400 26733096 26967330 27658800 27846975 28132585 28473120 28765152 28960854 29703440 29963700 30074733 30845880 31162248 32460675 33190560 33416370 33759102 34273200 34624720 35057529 35591400 35644128 35956440 37015056 37129300 38557350 38614472 38952810 39951600 40099644 41127840 41488200 41549664 43147728 43280900 43441281 44555160 44945550 45012136 46268820 46743372 47455200 47941920 48268090 50124555 50638653 51409800 51937080 53466192 53934660 55317600 55693950 56265170 57836025 57921708 58429215 59406880 59927400 60149466 61691760 62324496 62748517 64921350 66832740 67418325 67518204 68546400 69249440 70115058 71182800 71912880 72402135 73144721 74030112 74258600 77114700 77228944 77905620 79903200 80199288 82976400 83540925 84397755 86295456 86561800 86882562 89110320 89891100 90024272 92537640 93486744 96536180 97382025 100249110 101277306 102819600 103874160 106932384 107869320 111387900 112530340 115672050 115843416 116858430 119854800 120298932 120670225 123383520 124648992 125497034 129842700 130323843 133665480 134836650 135036408 140230116 140662925 142365600 143825760 144804270 146289442 148517200 150373665 151915959 154229400 154457888 155811240 160398576 165952800 167081850 168795510 173123600 173765124 175287645 178220640 179782200 180048544 185075280 186973488 188245551 193072360 194764050 200498220 202554612 205639200 207748320 215738640 217206405 219434163 222775800 225060680 231344100 231686832 233716860 239709600 240597864 241340450 250622775 250994068 253193265 259685400 260647686 267330960 269673300 270072816 280460232 281325850 289608540 292146075 292578884 297034400 300747330 303831918 308458800 311622480 313742585 320797152 334163700 337591020 346247200 347530248 350575290 359564400 362010675 365723605 370150560 373946976 376491102 386144720 389528100 390971529 400996440 405109224 421988775 431477280 434412810 438868326 445551600 450121360 455747877 462688200 463373664 467433720 481195728 482680900 501245550 501988136 506386530 519370800 521295372 534661920 539346600 540145632 560920464 562651700 564736653 579217080 584292150 585157768 601494660 607663836 616917600 623244960 627485170 651619215 658302489 668327400 675182040 695060496 701150580 719128800 724021350 731447210 751868325 752982204 759579795 772289440 779056200 781943058 801992880 810218448 815730721 843977550 868825620 876438225 877736652 891103200 900242720 911495754 925376400 934867440 941227755 950881373 962391456 965361800 1002491100 1003976272 1012773060 1038741600 1042590744 1078693200 1086032025 1097170815 1121840928 1125303400 1129473306 1158434160 1168584300 1170315536 1202989320 1215327672 1254970340 1265966325 1303238430 1316604978 1336654800 1350364080 1390120992 1402301160 1448042700 1462894420 1503736650 1505964408 1519159590 1558112400 1563886116 1568712925 1603985760 1620436896 1631461442 1687955100 1694209959 1737651240 1752876450 1755473304 1822991508 1828618025 1850752800 1869734880 1882455510 1901762746 1930723600 1954857645 1974907467 2004982200 2007952544 2025546120 2085181488 2157386400 2172064050 2194341630 2250606800 2258946612 2278739385 2316868320 2337168600 2340631072 2405978640 2430655344 2447192163 2509940680 2531932650 2606476860 2633209956 2673309600 2700728160 2804602320 2823683265 2852644119 2896085400 2925788840 3007473300 3011928816 3038319180 3116224800 3127772232 3137425850 3258096075 3262922884 3291512445 3375910200 3388419918 3475302480 3505752900 3510946608 3645983016 3657236050 3764911020 3797898975 3803525492 3861447200 3909715290 3949814934 4009964400 4051092240 4078653605 4170362976 4344128100 4388683260 4501213600 4517893224 4557478770 4674337200 4706138775 4754406865 4811957280 4861310688 4894384326 5019881360 5063865300 5082629877 5212953720 5266419912 5485854075 5609204640 5647366530 5705288238 5792170800 5851577680 5924722401 6014946600 6023857632 6076638360 6255544464 6274851700 6516192150 6525845768 6583024890 6751820400 6776839836 6950604960 7011505800 7021893216 7291966032 7314472100 7341576489 7529822040 7595797950 7607050984 7819430580 7899629868 8019928800 8102184480 8157307210 8471049795 8557932357 8688256200 8777366520 9035786448 9114957540 9348674400 9412277550 9508813730 9774288225 9788768652 9874537335 10039762720 10127730600 10165259754 10425907440 10532839824 10604499373 10971708150 11294733060 11393696925 11410576476 11584341600 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38035254920 39097152900 39155074608 39498149340 40510922400 40661039016 40786536050 42355248975 42417997492 42789661785 43886832600 44049458934 45178932240 45574787700 45642305904 47397779208 47544068650 48943843260 49372686675 49445831396 50198813600 50826298770 51347594142 52129537200 52664199120 53022496865 54214718688 56473665300 57052882380 58515776800 58732611912 59247224010 60766383600 61179804075 61807289245 62555444640 63197038944 63626996238 65258457680 65830248900 66074188401 67768398360 68463458856 71316102975 72919660320 73415764890 74168747094 75298220400 76070509840 77021391213 78194305800 78310149216 78996298680 81322078032 81573072100 84710497950 84835994984 85579323570 87773665200 88098917868 90357864480 91149575400 91284611808 94795558416 95088137300 95440494357 97887686520 98745373350 98891662792 101652597540 102695188284 104259074400 105328398240 106044993730 110123647335 111253120641 112947330600 114105764760 117465223824 118494448020 121532767200 122359608150 123614578490 127065746925 127253992476 128368985355 130516915360 131660497800 132148376802 135536796720 136926917712 142632205950 146831529780 148118060025 148337494188 150596440800 152141019680 154042782426 156388611600 157992597360 159067490595 160698952037 162644156064 163146144200 169420995900 169671989968 171158647140 175547330400 176197835736 182299150800 183539412225 185421867735 189591116832 190176274600 190880988714 195775373040 197490746700 197783325584 203305195080 205390376568 212089987460 213948308925 220247294670 222506241282 225894661200 228211529520 234930447648 236988896040 244719216300 247229156980 254131493850 254507984952 256737970710 263320995600 264296753604 265112484325 271073593440 273853835424 285264411900 286321483071 293663059560 296236120050 296674988376 308085564852 309036446225 312777223200 315985194720 318134981190 321397904074 326292288400 330370942005 333759361923 338841991800 339343979936 342317294280 352395671472 364598301600 367078824450 370843735470 380352549200 381761977428 385106956065 391550746080 394981493400 395566651168 406610390160 410780753136 424179974920 427896617850 440494589340 445012482564 451789322400 456423059040 473977792080 477202471785 482096856111 489438432600 494458313960 508262987700 509015969904 513475941420 526641991200 528593507208 530224968650 550618236675 556265603205 570528823800 572642966142 587326119120 592472240100 593349976752 616171129704 618072892450 636269962380 641844926775 642795808148 652584576800 660741884010 667518723846 677683983600 684634588560 704791342944 734157648900 741687470940 760705098400 763523954856 770213912130 789962986800 795337452975 803494760185 813220780320 821561506272 848359949840 855793235700 858964449213 880989178680 890024965128 927109338675 947955584160 954404943570 964193712222 978876865200 988916627920 1001278085769 1016525975400 1018031939808 1026951882840 1057187014416 1060449937300 1101236473350 1112531206410 1141057647600 1145285932284 1174652238240 1184944480200 1186699953504 1232342259408 1236145784900 1272539924760 1283689853550 1285591616296 1321483768020 1335037447692 1355367967200 1369269177120 1431607415355 1446290568333 1468315297800 1483374941880 1527047909712 1540427824260 1579925973600 1590674905950 1606989520370 1651854710025 1668796809615 1696719899680 1711586471400 1717928898426 1761978357360 1780049930256 1854218677350 1908809887140 1925534780325 1928387424444 1957753730400 1977833255840 2002556171538 2033051950800 2053903765680 2089086376481 2114374028832 2120899874600 2202472946700 2225062412820 2282115295200 2290571864568 2369888960400 2386012358925 2410484280555 2464684518816 2472291569800 2545079849520 2567379707100 2571183232592 2642967536040 2670074895384 2781328016025 2863214830710 2892581136666 2936630595600 2966749883760 3054095819424 3080855648520 3181349811900 3213979040740 3303709420050 3337593619230 3423172942800 3435857796852 3523956714720 3560099860512 3708437354700 3817619774280 3851069560650 3856774848888 4005112343076 4017473800925 4066103901600 4107807531360 4178172752962 4241799749200 4294822246065 4338871704999 4404945893400 4450124825640 4581143729136 4739777920800 4772024717850 4820968561110 4944583139600 5006390428845 5090159699040 5134759414200 5142366465184 5285935072080 5340149790768 5562656032050 5726429661420 5785162273332 5873261191200 5933499767520 6161711297040 6267259129443 6362699623800 6427958081480 6607418840100 6675187238460 6846345885600 6871715593704 7158037076775 7231452841665 7416874709400 7635239548560 7702139121300 7713549697776 8010224686152 8034947601850 8343984048075 8356345505924 8483599498400 8589644492130 8677743409998 8809891786800 8900249651280 9162287458272 9544049435700 9641937122220 9889166279200 10012780857690 10269518828400 10445431882405 10571870144160 10680299581536 11125312064100 11452859322840 11570324546664 12052421402775 12323422594080 12534518258886 12725399247600 12855916162960 13016615114997 13214837680200 13350374476920 13743431187408 14316074153550 14462905683330 14833749418800 15270479097120 15404278242600 15427099395552 16020449372304 16069895203700 16687968096150 16712691011848 17179288984260 17355486819996 17619783573600 17800499302560 18801777388329 19088098871400 19283874244440 20025561715380 20539037656800 20890863764810 21474111230325 21694358524995 22250624128200 22905718645680 23140649093328 24104842805550 25031952144225 25069036517772 25450798495200 25711832325920 26033230229994 26429675360400 26700748953840 27486862374816 28632148307100 28925811366660 29667498837600 30808556485200 31336295647215 32040898744608 32139790407400 33375936192300 33425382023696 34358577968520 34710973639992 36157264208325 37603554776658 38176197742800 38567748488880 40051123430760 41781727529620 42948222460650 43388717049990 44501248256400 45811437291360 46281298186656 48209685611100 50063904288450 50138073035544 52066460459988 52227159412025 52859350720800 53401497907680 56405332164987 57264296614200 57851622733320 61617112970400 62672591294430 64279580814800 65083075574985 66751872384600 66850764047392 68717155937040 69421947279984 72314528416650 75207109553316 76352395485600 77135496977760 80102246861520 83563455059240 85896444921300 86777434099980 89002496512800 94008886941645 96419371222200 100127808576900 100276146071088 104132920919976 104454318824050 108471792624975 112810664329974 114528593228400 115703245466640 125345182588860 128559161629600 130166151149970 133503744769200 137434311874080 138843894559968 144629056833300 150414219106632 156681478236075 160204493723040 167126910118480 169215996494961 171792889842600 173554868199960 188017773883290 192838742444400 200255617153800 200552292142176 208265841839952 208908637648100 216943585249950 225621328659948 229057186456800 231406490933280 250690365177720 260332302299940 267007489538400 282026660824935 289258113666600 300828438213264 313362956472150 325415377874925 334253820236960 338431992989922 343585779685200 347109736399920 376035547766580 385677484888800 400511234307600 416531683679904 417817275296200 433887170499900 451242657319896 470044434708225 501380730355440 520664604599880 564053321649870 578516227333200 601656876426528 626725912944300 650830755749850 676863985979844 687171559370400 694219472799840 752071095533160 801022468615200 835634550592400 846079982474805 867774340999800 902485314639792 940088869416450 1002761460710880 1041329209199760 1128106643299740 1157032454666400 1253451825888600 1301661511499700 1353727971959688 1410133304124675 1504142191066320 1671269101184800 1692159964949610 1735548681999600 1804970629279584 1880177738832900 2082658418399520 2256213286599480 2506903651777200 2603323022999400 2707455943919376 2820266608249350 3008284382132640 3384319929899220 3471097363999200 3760355477665800 4230399912374025 4512426573198960 5013807303554400 5206646045998800 5414911887838752 5640533216498700 6768639859798440 7520710955331600 8460799824748050 9024853146397920 10413292091997600 11281066432997400 13537279719596880 15041421910663200 16921599649496100 22562132865994800 27074559439193760 33843199298992200 45124265731989600 67686398597984400 135372797195968800
- Sum of all divisors σ(n): 537532937437260996
- Sum of proper divisors (its aliquot sum) s(n): 402160140241292196
- 135372797195968800 is an abundant number, because the sum of its proper divisors (402160140241292196) is greater than itself. Its abundance is 266787343045323396
Bases of 135372797195968800
- Binary: 1111000001111000011010111100000010001110111100001001000002
- Hexadecimal: 0x1E0F0D7811DE120
- Base-36: 110XNGHWFM00
Squares and roots of 135372797195968800
- 135372797195968800 squared (1353727971959688002) is 18325794220660898199870970573440000
- 135372797195968800 cubed (1353727971959688003) is 2480814024488584880318649752782140969792348672000000
-
The
square root of 135372797195968800 is 367930424.3956577177 -
The
cube root of 135372797195968800 is 513464.5531511347
Scales and comparisons
How big is 135372797195968800?- 135,372,797,195,968,800 seconds is equal to 4,304,436,215 years, 14 weeks, 2 days, 18 hours.
-
To count from 1 to 135,372,797,195,968,800 would take you about twelve billion, nine hundred thirteen million, three hundred eight thousand, six hundred forty-five 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 135372797195968800 cubic inches would be around 42788.7 feet tall.
Recreational maths with 135372797195968800
- 135372797195968800 backwards is 008869591797273531
- 135372797195968800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135372797195968800's digits is 90
- More coming soon!
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"Number 135372797195968800 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 135372797195968800 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/135372797195968800/
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Numbermatics. 2024. "Number 135372797195968800 - Facts about the integer". https://numbermatics.com/n/135372797195968800/
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