134781384711340800

Names of 134781384711340800

• Cardinal: 134781384711340800 can be written as One hundred thirty-four quadrillion, seven hundred eighty-one trillion, three hundred eighty-four billion, seven hundred eleven million, three hundred forty thousand, eight hundred.

Scientific notation

• Scientific notation: 1.347813847113408 × 10¹⁷

Factors of 134781384711340800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 133176

Divisors of 134781384711340800

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 53 60 64 72 75 80 90 96 100 106 120 128 144 150 159 160 180 181 192 200 212 225 240 256 265 288 300 318 320 360 362 384 400 424 450 477 480 530 543 576 600 636 640 720 724 768 795 800 848 900 905 954 960 1060 1086 1152 1200 1272 1280 1325 1440 1448 1590 1600 1629 1696 1800 1810 1861 1908 1920 2120 2172 2304 2385 2400 2544 2650 2715 2880 2896 3180 3200 3258 3392 3600 3620 3722 3816 3840 3975 4240 4344 4525 4770 4800 5088 5300 5430 5583 5760 5792 6360 6400 6516 6784 7200 7240 7444 7632 7950 8145 8480 8688 9050 9305 9540 9593 9600 10176 10600 10860 11166 11520 11584 11925 12720 13032 13568 13575 14400 14480 14888 15264 15900 16290 16749 16960 17376 18100 18610 19080 19186 19200 20352 21200 21720 22332 23168 23850 25440 26064 27150 27915 28779 28800 28960 29776 30528 31800 32580 33498 33920 34752 36200 37220 38160 38372 40704 40725 42400 43440 44664 46336 46525 47700 47965 50880 52128 54300 55830 57558 57600 57920 59552 61056 63600 65160 66996 67840 69504 72400 74440 76320 76744 81450 83745 84800 86337 86880 89328 93050 95400 95930 98633 101760 104256 108600 111660 115116 115840 119104 122112 127200 130320 131071 133992 139008 139575 143895 144800 148880 152640 153488 162900 167490 169600 172674 173760 178656 186100 190800 191860 197266 203520 208512 217200 223320 230232 231680 238208 239825 254400 260640 262142 267984 279150 287790 289600 295899 297760 305280 306976 325800 334980 336841 339200 345348 347520 357312 372200 381600 383720 393213 394532 417024 418725 431685 434400 446640 460464 476416 479650 493165 508800 521280 524284 535968 558300 575580 579200 591798 595520 610560 613952 651600 655355 669960 673682 690696 695040 714624 719475 744400 763200 767440 786426 789064 837450 863370 868800 887697 893280 920928 959300 986330 1010523 1017600 1042560 1048568 1071936 1116600 1151160 1158400 1179639 1183596 1191040 1227904 1303200 1310710 1339920 1347364 1381392 1429248 1438950 1479495 1488800 1526400 1534880 1572852 1578128 1674900 1684205 1726740 1737600 1775394 1786560 1841856 1918600 1966065 1972660 2021046 2085120 2097136 2143872 2158425 2233200 2302320 2359278 2367192 2382080 2455808 2465825 2606400 2621420 2679840 2694728 2762784 2877900 2958990 2977600 3031569 3052800 3069760 3145704 3156256 3276775 3349800 3368410 3453480 3475200 3550788 3573120 3683712 3837200 3932130 3945320 4042092 4194272 4287744 4316850 4438485 4466400 4604640 4718556 4734384 4931650 5052615 5212800 5242840 5359680 5389456 5525568 5755800 5898195 5917980 5955200 6063138 6139520 6291408 6312512 6553550 6699600 6736820 6906960 6946763 7101576 7146240 7367424 7397475 7674400 7864260 7890640 8084184 8388544 8421025 8633700 8876970 8932800 9209280 9437112 9468768 9830325 9863300 10105230 10425600 10485680 10719360 10778912 11051136 11511600 11796390 11835960 11910400 12126276 12279040 12582816 12625024 13107100 13399200 13473640 13813920 13893526 14203152 14794950 15157845 15348800 15728520 15781280 16168368 16777088 16842050 17267400 17753940 17852573 17865600 18418560 18874224 18937536 19660650 19726600 20210460 20840289 20971360 21438720 21557824 22102272 22192425 23023200 23592780 23671920 23723851 24252552 25165632 25250048 25263075 26214200 26798400 26947280 27627840 27787052 28406304 29490975 29589900 30315690 30697600 31457040 31562560 32336736 33554176 33684100 34534800 34733815 35507880 35705146 35731200 36837120 37748448 37875072 39321300 39453200 40420920 41680578 41942720 43115648 44384850 46046400 47185560 47343840 47447702 48505104 50331264 50526150 52428400 53557719 53596800 53894560 55255680 55574104 56812608 58981950 59179800 60631380 61395200 62520867 62914080 63125120 64673472 67368200 69069600 69467630 71015760 71171553 71410292 75496896 75750144 75789225 78642600 78906400 80841840 83361156 83885440 86231296 88769700 89262865 92092800 94371120 94687680 94895404 97010208 100662528 101052300 104201445 104856800 107115438 107193600 107789120 110511360 111148208 113625216 117963900 118359600 118619255 121262760 125041734 125828160 126250240 129346944 134736400 138139200 138935260 142031520 142343106 142820584 150993792 151578450 157285200 157812800 160673157 161683680 166722312 167770880 173669075 177539400 178525730 184185600 188742240 189375360 189790808 194020416 202104600 208402890 209713600 213514659 214230876 215578240 222296416 227250432 235927800 236719200 237238510 242525520 243923131 250083468 251656320 258693888 267788595 269472800 276278400 277870520 284063040 284686212 285641168 301987584 303156900 312604335 314570400 315625600 321346314 323367360 333444624 347338150 355078800 355857765 357051460 377484480 378750720 379581616 388040832 404209200 416805780 419427200 427029318 428461752 431156480 444592832 446314325 471855600 473438400 474477020 485051040 487846262 500166936 503312640 521007225 535577190 538945600 552556800 555741040 568126080 569372424 571282336 593096275 606313800 625208670 629140800 631251200 642692628 646734720 666889248 694676300 710157600 711715530 714102920 731769393 754968960 759163232 776081664 803365785 808418400 833611560 838854400 854058636 856923504 889185664 892628650 943711200 946876800 948954040 970102080 975692524 1000333872 1042014450 1067573295 1071154380 1077891200 1111482080 1136252160 1138744848 1142564672 1186192550 1212627600 1219615655 1250417340 1257364103 1258281600 1285385256 1293469440 1333778496 1338942975 1389352600 1420315200 1423431060 1428205840 1463538786 1509937920 1518326464 1563021675 1606731570 1616836800 1667223120 1708117272 1713847008 1778371328 1779288825 1785257300 1887422400 1893753600 1897908080 1940204160 1951385048 2000667744 2084028900 2135146590 2142308760 2155782400 2195308179 2222964160 2277489696 2285129344 2372385100 2425255200 2439231310 2500834680 2514728206 2516563200 2570770512 2667556992 2677885950 2778705200 2840630400 2846862120 2856411680 2927077572 3036652928 3126043350 3213463140 3233673600 3334446240 3416234544 3427694016 3558577650 3570514600 3658846965 3772092309 3774844800 3795816160 3880408320 3902770096 4001335488 4016828925 4168057800 4270293180 4284617520 4390616358 4445928320 4554979392 4570258688 4744770200 4850510400 4878462620 5001669360 5029456412 5141541024 5335113984 5337866475 5355771900 5557410400 5681260800 5693724240 5712823360 5854155144 6073305856 6098078275 6252086700 6286820515 6426926280 6467347200 6668892480 6832469088 6855388032 7117155300 7141029200 7317693930 7544184618 7549689600 7591632320 7805540192 8002670976 8033657850 8336115600 8540586360 8569235040 8781232716 8891856640 9109958784 9489540400 9701020800 9756925240 10003338720 10058912824 10283082048 10675732950 10711543800 10976540895 11114820800 11316276927 11387448480 11425646720 11708310288 12196156550 12504173400 12573641030 12853852560 12927925943 13337784960 13664938176 13710776064 14234310600 14282058400 14635387860 15088369236 15183264640 15611080384 16005341952 16067315700 16672231200 17081172720 17138470080 17562465432 18219917568 18294234825 18860461545 18979080800 19402041600 19513850480 20006677440 20117825648 20566164096 21351465900 21423087600 21953081790 22229641600 22632553854 22774896960 22851293440 23416620576 24392313100 25008346800 25147282060 25707705120 25855851886 26675569920 27329876352 28468621200 28564116800 29270775720 30176738472 30366529280 31222160768 31434102575 32134631400 33344462400 34162345440 34276940160 35124930864 36588469650 37720923090 37958161600 38783777829 39027700960 40013354880 40235651296 41132328192 42702931800 42846175200 43906163580 44150086711 44459283200 45265107708 45549793920 46833241152 48784626200 50016693600 50294564120 51415410240 51711703772 54659752704 54882704475 56581384635 56937242400 57128233600 58541551440 60353476944 62444321536 62868205150 64269262800 64639629715 66688924800 68324690880 68553880320 70249861728 73176939300 75441846180 75916323200 77567555658 78055401920 80026709760 80471302592 85405863600 85692350400 87812327160 88300173422 90530215416 91099587840 93666482304 94302307725 97569252400 100033387200 100589128240 102830820480 103423407544 109765408950 113162769270 113874484800 114256467200 116351333487 117083102880 120706953888 125736410300 128538525600 129279259430 132450260133 133377849600 136649381760 140499723456 146353878600 150883692360 151832646400 155135111316 156110803840 160942605184 170811727200 171384700800 175624654320 176600346844 181060430832 187332964608 188604615450 193918889145 195138504800 200066774400 201178256480 205661640960 206846815088 219530817900 220750433555 226325538540 227748969600 232702666974 234166205760 241413907776 251472820600 257077051200 258558518860 264900520266 273298763520 280999446912 282906923175 292707757200 301767384720 310270222632 312221607680 321885210368 323198148575 341623454400 342769401600 351249308640 353200693688 362120861664 377209230900 387837778290 390277009600 397350780399 400133548800 402356512960 413693630176 439061635800 441500867110 452651077080 455497939200 465405333948 468332411520 482827815552 502945641200 514154102400 517117037720 529801040532 561998893824 565813846350 581756667435 585415514400 603534769440 620540445264 646396297150 662251300665 683246908800 702498617280 706401387376 724241723328 754418461800 775675556580 780554019200 794701560798 804713025920 827387260352 878123271600 883001734220 905302154160 930810667896 936664823040 965655631104 969594445725 1005891282400 1028308204800 1034234075440 1059602081064 1103752167775 1131627692700 1163513334870 1170831028800 1207069538880 1241080890528 1292792594300 1324502601330 1366493817600 1404997234560 1412802774752 1448483446656 1508836923600 1551351113160 1561108038400 1589403121596 1609426051840 1654774520704 1756246543200 1766003468440 1810604308320 1861621335792 1939188891450 1986753901995 2011782564800 2068468150880 2119204162128 2207504335550 2263255385400 2327026669740 2339954595683 2341662057600 2414139077760 2482161781056 2585585188600 2649005202660 2809994469120 2825605549504 2896966893312 2908783337175 3017673847200 3102702226320 3178806243192 3309549041408 3311256503325 3512493086400 3532006936880 3621208616640 3723242671584 3878377782900 3973507803990 4023565129600 4136936301760 4238408324256 4415008671100 4526510770800 4654053339480 4679909191366 4683324115200 4828278155520 4964323562112 5171170377200 5298010405320 5651211099008 5817566674350 6035347694400 6205404452640 6357612486384 6622513006650 7019863787049 7024986172800 7064013873760 7242417233280 7446485343168 7756755565800 7947015607980 8047130259200 8273872603520 8476816648512 8830017342200 9053021541600 9308106678960 9359818382732 9928647124224 9933769509975 10342340754400 10596020810640 11302422198016 11635133348700 11699772978415 12070695388800 12410808905280 12715224972768 13245026013300 14039727574098 14049972345600 14128027747520 14484834466560 14892970686336 15513511131600 15894031215960 16547745207040 16953633297024 17660034684400 18106043083200 18616213357920 18719636765464 19867539019950 20684681508800 21059591361147 21192041621280 23270266697400 23399545956830 24141390777600 24821617810560 25430449945536 26490052026600 28079455148196 28256055495040 29785941372672 31027022263200 31788062431920 33907266594048 35099318935245 35320069368800 36212086166400 37232426715840 37439273530928 39735078039900 41369363017600 42119182722294 42384083242560 46540533394800 46799091913660 49643235621120 50860899891072 52980104053200 56158910296392 56512110990080 58498864892075 62054044526400 63576124863840 70198637870490 70640138737600 72424172332800 74464853431680 74878547061856 79470156079800 82738726035200 84238365444588 84768166485120 93081066789600 93598183827320 101721799782144 105297956805735 105960208106400 112317820592784 116997729784150 124108089052800 127152249727680 140397275740980 141280277475200 148929706863360 149757094123712 158940312159600 168476730889176 169536332970240 175496594676225 186162133579200 187196367654640 210595913611470 211920416212800 224635641185568 233995459568300 248216178105600 254304499455360 280794551481960 282560554950400 299514188247424 317880624319200 336953461778352 350993189352450 372324267158400 374392735309280 421191827222940 423840832425600 449271282371136 467990919136600 508608998910720 526489784028675 561589102963920 599028376494848 635761248638400 673906923556704 701986378704900 744648534316800 748785470618560 842383654445880 847681664851200 898542564742272 935981838273200 1052979568057350 1123178205927840 1271522497276800 1347813847113408 1403972757409800 1497570941237120 1684767308891760 1797085129484544 1871963676546400 2105959136114700 2246356411855680 2543044994553600 2695627694226816 2807945514819600 2995141882474240 3369534617783520 3743927353092800 4211918272229400 4492712823711360 5391255388453632 5615891029639200 6739069235567040 7487854706185600 8423836544458800 8985425647422720 11231782059278400 13478138471134080 14975709412371200 16847673088917600 22463564118556800 26956276942268160 33695346177835200 44927128237113600 67390692355670400 134781384711340800
• Sum of all divisors σ(n): 493947392319553536
• Sum of proper divisors (its aliquot sum) s(n): 359166007608212736
• 134781384711340800 is an abundant number, because the sum of its proper divisors (359166007608212736) is greater than itself. Its abundance is 224384622896871936

Bases of 134781384711340800

• Binary: 111011110110101101111010010001110000011100000001100000000₂
• Hexadecimal: 0x1DED6F48E0E0300
• Base-36: 10V40HCOWJK0

Squares and roots of 134781384711340800

• 134781384711340800 squared (134781384711340800²) is 18166021664706451545340133744640000
• 134781384711340800 cubed (134781384711340800³) is 2448441554665351876799500984271168791779213312000000
• The square root of 134781384711340800 is 367125843.1537349565
• The cube root of 134781384711340800 is 512715.7255917163

Scales and comparisons

• 134,781,384,711,340,800 seconds is equal to 4,285,631,127 years, 32 weeks, 3 days, 8 hours.
• To count from 1 to 134,781,384,711,340,800 would take you about twelve billion, eight hundred fifty-six million, eight hundred ninety-three thousand, three 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 134781384711340800 cubic inches would be around 42726.3 feet tall.

Recreational maths with 134781384711340800

• 134781384711340800 backwards is 008043117483187431
• The number of decimal digits it has is: 18
• The sum of 134781384711340800's digits is 63
• More coming soon!