104742977942455200
104,742,977,942,455,200 is an even composite number composed of six prime numbers multiplied together.
104742977942455200 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 104742977942455200:
25 × 32 × 52 × 193 × 31 × 4093
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 19 × 19 × 19 × 31 × 409 × 409 × 409)See below for interesting mathematical facts about the number 104742977942455200 from the Numbermatics database.
Names of 104742977942455200
- Cardinal: 104742977942455200 can be written as One hundred four quadrillion, seven hundred forty-two trillion, nine hundred seventy-seven billion, nine hundred forty-two million, four hundred fifty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.047429779424552 × 1017
Factors of 104742977942455200
Divisors of 104742977942455200
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 31 32 36 38 40 45 48 50 57 60 62 72 75 76 80 90 93 95 96 100 114 120 124 144 150 152 155 160 171 180 186 190 200 225 228 240 248 279 285 288 300 304 310 342 360 361 372 380 400 409 450 456 465 475 480 496 558 570 589 600 608 620 684 720 722 744 760 775 800 818 855 900 912 930 950 992 1083 1116 1140 1178 1200 1227 1240 1368 1395 1425 1440 1444 1488 1520 1550 1636 1710 1767 1800 1805 1824 1860 1900 2045 2166 2232 2280 2325 2356 2400 2454 2480 2736 2790 2850 2888 2945 2976 3040 3100 3249 3272 3420 3534 3600 3610 3681 3720 3800 4090 4275 4332 4464 4560 4650 4712 4908 4960 5301 5415 5472 5580 5700 5776 5890 6135 6200 6498 6544 6840 6859 6975 7068 7200 7220 7362 7440 7600 7771 8180 8550 8664 8835 8928 9025 9120 9300 9424 9816 10225 10602 10830 11160 11191 11400 11552 11780 12270 12400 12679 12996 13088 13680 13718 13950 14136 14440 14724 14725 14880 15200 15542 16245 16360 17100 17328 17670 18050 18405 18600 18848 19632 20450 20577 21204 21660 22320 22382 22800 23313 23560 24540 24800 25358 25992 26505 27075 27360 27436 27900 28272 28880 29448 29450 30675 31084 32490 32720 33573 34200 34295 34656 35340 36100 36810 37200 38037 38855 39264 40900 41154 42408 43320 44175 44640 44764 45600 46626 47120 49080 50716 51984 53010 54150 54872 55800 55955 56544 57760 58896 58900 61350 61731 62168 63395 64980 65440 67146 68400 68590 69939 70680 72200 73620 74400 76074 77710 81225 81800 82308 84816 86640 88350 89528 92025 93252 94240 98160 100719 101432 102885 103968 106020 108300 109744 111600 111910 114111 116565 117792 117800 122700 123462 124336 126790 129960 132525 134292 136800 137180 139878 141360 144400 147240 147649 152148 155420 162450 163600 164616 167281 167865 169632 171475 173280 176700 179056 184050 186504 190185 194275 196320 201438 202864 205770 212040 212629 216600 219488 223200 223820 228222 233130 235600 240901 245400 246924 248672 253580 259920 265050 268584 274360 279756 279775 282720 288800 294480 295298 304296 308655 310840 316975 324900 327200 329232 334562 335730 342950 349695 353400 358112 368100 373008 380370 388550 402876 405728 411540 424080 425258 433200 442947 447640 456444 466260 471200 481802 490800 493848 501843 503595 507160 514425 519840 530100 537168 548720 559512 559550 570555 582825 588960 590596 608592 617310 621680 633950 637887 649800 658464 669124 671460 685900 699390 706800 722703 736200 738245 746016 760740 777100 805752 823080 836405 839325 848160 850516 866400 885894 895280 912888 932520 950925 963604 981600 987696 1003686 1007190 1014320 1028850 1060200 1063145 1074336 1097440 1119024 1119100 1141110 1165650 1181192 1204505 1217184 1234620 1243360 1267900 1275774 1299600 1328841 1338248 1342920 1371800 1398780 1413600 1445406 1472400 1476490 1505529 1521480 1543275 1554200 1611504 1646160 1672810 1678650 1701032 1748475 1771788 1790560 1825776 1865040 1901850 1913661 1927208 1975392 2007372 2014380 2028640 2057700 2120400 2126290 2168109 2214735 2238048 2238200 2282220 2331300 2362384 2409010 2469240 2509215 2517975 2535800 2551548 2599200 2657682 2676496 2685840 2743600 2797560 2805331 2852775 2890812 2944800 2952980 3011058 3042960 3086550 3108400 3178339 3189435 3223008 3292320 3345620 3357300 3402064 3496950 3543576 3613515 3651552 3691225 3730080 3803700 3827322 3854416 4014744 4028760 4115400 4182025 4240800 4252580 4336218 4429470 4476400 4564440 4577119 4662600 4724768 4818020 4938480 5018430 5035950 5071600 5103096 5185711 5315364 5315725 5352992 5371680 5487200 5595120 5610662 5705550 5781624 5905960 6022116 6022525 6085920 6173100 6216800 6356678 6378870 6644205 6691240 6714600 6804128 6993900 7087152 7227030 7382450 7527645 7607400 7654644 7708832 8029488 8057520 8230800 8364050 8415993 8505160 8672436 8858940 8952800 9128880 9154238 9325200 9535017 9568305 9636040 9876960 10036860 10071900 10143200 10206192 10371422 10630728 10631450 10840545 11073675 11190240 11221324 11411100 11563248 11811920 12044232 12045050 12346200 12546075 12713356 12757740 13288410 13382480 13429200 13731357 13987800 14026655 14174304 14454060 14764900 15055290 15214800 15309288 15557133 15891695 15947175 16058976 16115040 16461600 16728100 16831986 17010320 17344872 17717880 18067575 18257760 18308476 18650400 19070034 19136610 19272080 20073720 20143800 20412384 20742844 21261456 21262900 21681090 22147350 22442648 22822200 22885595 23126496 23623840 24088464 24090100 24692400 25092150 25247979 25426712 25515480 25928555 26576820 26764960 26858400 27462714 27975600 28053310 28605051 28908120 29529800 30110580 30429600 30618576 31114266 31783390 31894350 33221025 33456200 33663972 34020640 34689744 35435760 36135150 36616952 37638225 38140068 38273220 38544160 40147440 40287600 41194071 41485688 42079965 42522912 42525800 43362180 44294700 44885296 45644400 45771190 46671399 47675085 47841525 48176928 48180200 49384800 50184300 50495958 50853424 51030960 51857110 53153640 54202725 54925428 55951200 56106620 57210102 57816240 59059600 60221160 60388441 61237152 62228532 63566780 63788700 66442050 66912400 67327944 68417929 68656785 69379488 70133275 70871520 72270300 73233904 75276450 76280136 76546440 77785665 79458475 80294880 80575200 82388142 82971376 84159930 85051600 86724360 86965261 88589400 89770592 91288800 91542380 93342798 95350170 95683050 96360400 98528509 100368600 100991916 101706848 102061920 103714220 106307280 108405450 109850856 112213240 114420204 114427975 115632480 118119200 120442320 120776882 124457064 126239895 127133560 127577400 129642775 132884100 133824800 134655888 136835858 137313570 140266550 143025255 144540600 146467808 150552900 152560272 153092880 155571330 158916950 164776284 165942752 168319860 170103200 173448720 173930522 177178800 181165323 183084760 186685596 190700340 191366100 192720800 197057018 200737200 201983832 205253787 205970355 207428440 210399825 212614560 216810900 219701712 224426480 228840408 228855950 233356995 238375425 240884640 241553764 248914128 252479790 254267120 255154800 259285550 260895783 265768200 269311776 273671716 274627140 280533100 286050510 289081200 295585527 301105800 301942205 305120544 306185760 311142660 317833900 329552568 336639720 342089645 343283925 346897440 347861044 354357600 362330646 366169520 373371192 381400680 382732200 388928325 394114036 401474400 403967664 410507574 411940710 414856880 420799650 433621800 434826305 439403424 448852960 457680816 457711900 466713990 476750850 483107528 492642545 497828256 504959580 508534240 510309600 518571100 521791566 531536400 543495969 547343432 549254280 561066200 572101020 578162400 591171054 602211600 603884410 615761361 622285320 631199475 635667800 659105136 673279440 684179290 686567850 695722088 715126275 724661292 732339040 746742384 762801360 765464400 777856650 782687349 788228072 807935328 821015148 823881420 829713760 841599300 867243600 869652610 886756581 905826615 915361632 915423800 933427980 953501700 966215056 985285090 1009919160 1026268935 1029851775 1037142200 1043583132 1063072800 1086991938 1094686864 1098508560 1122132400 1144202040 1147380379 1166784975 1182342108 1204423200 1207768820 1231522722 1244570640 1262398950 1271335600 1299940651 1304478915 1318210272 1346558880 1368358580 1373135700 1391444176 1430252550 1449322584 1477927635 1493484768 1509711025 1525602720 1530928800 1555713300 1565374698 1576456144 1642030296 1647762840 1683198600 1710448225 1734487200 1739305220 1773513162 1811653230 1830847600 1866855960 1872041671 1907003400 1932430112 1970570180 2019838320 2052537870 2059703550 2074284400 2087166264 2120955799 2173983876 2174131525 2189373728 2197017120 2244264800 2288404080 2294760758 2333569950 2364684216 2415537640 2463045444 2463212725 2489141280 2524797900 2542671200 2599881302 2608957830 2717479845 2736717160 2746271400 2782888352 2860505100 2898645168 2955855270 3019422050 3078806805 3111426600 3130749396 3152912288 3284060592 3295525680 3366397200 3420896450 3442141137 3478610440 3547026324 3623306460 3661695200 3733711920 3744083342 3814006800 3899821953 3913436745 3941140360 4039676640 4105075740 4119407100 4148568800 4174332528 4241911598 4347967752 4348263050 4433782905 4529133075 4576808160 4589521516 4667139900 4729368432 4831075280 4926090888 4926425450 5049595800 5131344675 5199762604 5217915660 5434959690 5473434320 5492542800 5616125013 5721010200 5736901895 5797290336 5911710540 6038844100 6157613610 6222853200 6261498792 6362867397 6499703255 6522394575 6568121184 6591051360 6732794400 6841792900 6884282274 6957220880 7094052648 7246612920 7389638175 7467423840 7488166684 7628013600 7799643906 7826873490 7882280720 8210151480 8238814200 8348665056 8483823196 8695935504 8696526100 8867565810 9058266150 9179043032 9334279800 9360208355 9458736864 9662150560 9852181776 9852850900 10099191600 10262689350 10326423411 10399525208 10435831320 10604778995 10869919380 10946868640 10985085600 11232250026 11442020400 11473803790 11699465859 11823421080 12077688200 12315227220 12445706400 12522997584 12725734794 12999406510 13044789150 13587399225 13683585800 13768564548 13914441760 14188105296 14493225840 14779276350 14976333368 15394034025 15599287812 15653746980 15764561440 16420302960 16477628400 16848375039 16967646392 17210705685 17391871008 17393052200 17735131620 18116532300 18358086064 18668559600 18720416710 19088602191 19499109765 19567183725 19704363552 19705701800 20198383200 20525378700 20652846822 20799050416 20871662640 21209557990 21739838760 22168914525 22464500052 22884040800 22947607580 23398931718 23646842160 24155376400 24630454440 24698872369 25045995168 25451469588 25998813020 26089578300 27174798450 27367171600 27537129096 28080625065 28376210592 28684509475 28986451680 29558552700 29952666736 30788068050 31198575624 31307493960 31814336985 32498516275 32840605920 32955256800 33696750078 33935292784 34421411370 34786104400 35470263240 35568791749 36233064600 36716172128 37337119200 37440833420 38177204382 38998219530 39134367450 39411403600 40298160181 41050757400 41305693644 41598100832 41743325280 42419115980 43479677520 44337829050 44929000104 45895215160 46797863436 46801041775 47293684320 48310752800 49260908880 49397744738 50902939176 51632117055 51997626040 52179156600 53023894975 54349596900 54734343200 55074258192 56161250130 57369018950 58497329295 59117105400 59905333472 61576136100 62397151248 62614987920 63628673970 64997032550 67393500156 67870585568 68842822740 69572208800 70940526480 71137583498 72466129200 74096617107 74881666840 76354408764 77996439060 78268734900 78822807200 80596320362 82101514800 82611387288 84241875195 84838231960 86053528425 86959355040 88675658100 89858000208 91790430320 93595726872 93602083550 95443010955 97495548825 98521817760 98795489476 101805878352 103264234110 103995252080 104358313200 106047789950 106706375247 108699193800 110148516384 112322500260 114738037900 116994658590 118234210800 120894480543 123152272200 123494361845 124794302496 125229975840 127257347940 129994065100 134787000312 137685645480 140403125325 141881052960 142275166996 144932258400 148193234214 149763333680 152708817528 155992878120 156537469800 159071684925 161192640724 164203029600 165222774576 168483750390 169676463920 172107056850 177351316200 177843958745 179716000416 183580860640 187191453744 187204167100 190886021910 194991097650 197590978952 201490800905 203611756704 206528468220 207990504160 208716626400 212095579900 213412750494 217398387600 222289851321 224645000520 229476075800 233989317180 236468421600 241788961086 246304544400 246988723690 254514695880 258160585275 259988130200 269574000624 275371290960 280806250650 284550333992 292486646475 296386468428 299526667360 305417635056 311985756240 313074939600 318143369850 320119125741 322385281448 330445549152 336967500780 339352927840 344214113700 354702632400 355687917490 362683441629 370483085535 374382907488 374408334200 381772043820 389982195300 395181957904 402981601810 413056936440 421209375975 424191159800 426825500988 434796775200 444579702642 449290001040 458952151600 467978634360 469278575011 477215054775 483577922172 492609088800 493977447380 509029391760 516321170550 519976260400 533531876235 539148001248 550742581920 561612501300 569100667984 584973292950 592772936856 604472402715 610835270112 617471809225 623971512480 626149879200 636286739700 640238251482 644770562896 673935001560 688428227400 709405264800 711375834980 725366883258 740966171070 748816668400 763544087640 765665043439 779964390600 790363915808 805963203620 826113872880 842418751950 848382319600 853651001976 889159405284 889219793725 898580002080 917904303200 935957268720 938557150022 954430109550 967155844344 987954894760 1007454004525 1018058783520 1032642341100 1039952520800 1067063752470 1111449256605 1123225002600 1138201335968 1169946585900 1185545873712 1208944805430 1234943618450 1272573479400 1280476502964 1289541125792 1347870003120 1376856454800 1407835725033 1422751669960 1450733766516 1481932342140 1497633336800 1527088175280 1531330086878 1559928781200 1600595628705 1611926407240 1652227745760 1684837503900 1696764639200 1707302003952 1778318810568 1778439587450 1813417208145 1852415427675 1871914537440 1877114300044 1908860219100 1934311688688 1975909789520 2014908009050 2065284682200 2134127504940 2222898513210 2246450005200 2296995130317 2339893171800 2346392875055 2371091747424 2417889610860 2469887236900 2545146958800 2560953005928 2667659381175 2695740006240 2753712909600 2815671450066 2845503339920 2901467533032 2963864684280 3022362013575 3054176350560 3062660173756 3119857562400 3201191257410 3223852814480 3369675007800 3414604007904 3556637621136 3556879174900 3626834416290 3704830855350 3754228600088 3817720438200 3828325217195 3868623377376 3951819579040 4029816018100 4130569364400 4223507175099 4268255009880 4445797026420 4492900010400 4593990260634 4679786343600 4692785750110 4835779221720 4939774473800 5090293917600 5121906011856 5335318762350 5557246283025 5631342900132 5691006679840 5802935066064 5927729368560 6044724027150 6125320347512 6402382514820 6447705628960 6739350015600 6890985390951 7039178625165 7113275242272 7113758349800 7253668832580 7409661710700 7508457200176 7635440876400 7656650434390 8002978143525 8059632036200 8261138728800 8447014350198 8536510019760 8891594052840 9067086040725 9187980521268 9359572687200 9385571500220 9671558443440 9879548947600 10243812023712 10670637524700 11114492566050 11262685800264 11484975651585 11605870132128 11731964375275 11855458737120 12089448054300 12250640695024 12804765029640 13478700031200 13781970781902 14078357250330 14227516699600 14507337665160 14547635825341 14819323421400 15016914400352 15270881752800 15313300868780 16005956287050 16119264072400 16894028700396 17073020039520 17783188105680 18134172081450 18375961042536 18771143000440 19141626085975 19343116886880 19759097895200 21117535875495 21341275049400 22228985132100 22525371600528 22969951303170 23463928750550 24178896108600 24501281390048 25609530059280 27563941563804 28156714500660 28455033399200 29014675330320 29095271650682 29638646842800 30626601737560 32011912574100 32238528144800 33788057400792 34454926954755 35195893125825 35566376211360 36268344162900 36751922085072 37542286000880 38283252171950 42235071750990 42682550098800 43642907476023 44457970264200 45050743201056 45939902606340 46927857501100 48357792217200 51219060118560 55127883127608 56313429001320 57424878257925 58029350660640 58190543301364 59277293685600 61253203475120 64023825148200 67576114801584 68909853909510 70391786251650 72536688325800 72738179126705 73503844170144 75084572001760 76566504343900 84470143501980 85365100197600 87285814952046 88915940528400 91879805212680 93855715002200 96715584434400 105587679377475 110255766255216 112626858002640 114849756515850 116381086602728 122506406950240 128047650296400 130928722428069 135152229603168 137819707819020 140783572503300 145073376651600 145476358253410 153133008687800 168940287003960 172274634773775 174571629904092 177831881056800 183759610425360 187711430004400 211175358754950 218214537380115 220511532510432 225253716005280 229699513031700 232762173205456 256095300592800 261857444856138 275639415638040 281567145006600 290146753303200 290952716506820 306266017375600 337880574007920 344549269547550 349143259808184 363690895633525 367519220850720 375422860008800 422350717509900 436429074760230 459399026063400 465524346410912 523714889712276 551278831276080 563134290013200 581905433013640 612532034751200 654643612140345 675761148015840 689098539095100 698286519616368 727381791267050 844701435019800 872858149520460 918798052126800 1047429779424552 1091072686900575 1102557662552160 1126268580026400 1163810866027280 1309287224280690 1378197078190200 1396573039232736 1454763582534100 1689402870039600 1745716299040920 1837596104253600 2094859558849104 2182145373801150 2327621732054560 2618574448561380 2756394156380400 2909527165068200 3273218060701725 3378805740079200 3491432598081840 4189719117698208 4364290747602300 5237148897122760 5512788312760800 5819054330136400 6546436121403450 6982865196163680 8728581495204600 10474297794245520 11638108660272800 13092872242806900 17457162990409200 20948595588491040 26185744485613800 34914325980818400 52371488971227600 104742977942455200
- Sum of all divisors σ(n): 403429088535782400
- Sum of proper divisors (its aliquot sum) s(n): 298686110593327200
- 104742977942455200 is an abundant number, because the sum of its proper divisors (298686110593327200) is greater than itself. Its abundance is 193943132650872000
Bases of 104742977942455200
- Binary: 1011101000001111100101110111110001111101000000011101000002
- Hexadecimal: 0x1741F2EF8FA03A0
- Base-36: SNCABSBE080
Squares and roots of 104742977942455200
- 104742977942455200 squared (1047429779424552002) is 10971091428253656562482604007040000
- 104742977942455200 cubed (1047429779424552003) is 1149144787474232065723100000735353614055684608000000
-
The
square root of 104742977942455200 is 323640198.2795944339 -
The
cube root of 104742977942455200 is 471384.1465604703
Scales and comparisons
How big is 104742977942455200?- 104,742,977,942,455,200 seconds is equal to 3,330,502,707 years, 13 weeks, 6 days, 2 hours.
-
To count from 1 to 104,742,977,942,455,200 would take you about nine billion, nine hundred ninety-one million, five hundred eight thousand, one hundred twenty-one 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 104742977942455200 cubic inches would be around 39282 feet tall.
Recreational maths with 104742977942455200
- 104742977942455200 backwards is 002554249779247401
- 104742977942455200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 104742977942455200's digits is 72
- More coming soon!
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"Number 104742977942455200 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 104742977942455200 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/104742977942455200/
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Numbermatics. 2024. "Number 104742977942455200 - Facts about the integer". https://numbermatics.com/n/104742977942455200/
The information we have on file for 104742977942455200 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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