138038815229003906250
138,038,815,229,003,906,250 is an even composite number composed of five prime numbers multiplied together.
138038815229003906250 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred sixty divisors.
Prime factorization of 138038815229003906250:
2 × 3 × 512 × 114 × 235
(2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 23 × 23 × 23 × 23 × 23)See below for interesting mathematical facts about the number 138038815229003906250 from the Numbermatics database.
Names of 138038815229003906250
- Cardinal: 138038815229003906250 can be written as One hundred thirty-eight quintillion, thirty-eight quadrillion, eight hundred fifteen trillion, two hundred twenty-nine billion, three million, nine hundred six thousand, two hundred fifty.
Scientific notation
- Scientific notation: 1.3803881522900390625 × 1020
Factors of 138038815229003906250
Divisors of 138038815229003906250
- Number of divisors d(n): 1560
-
Complete list of divisors:
1 2 3 5 6 10 11 15 22 23 25 30 33 46 50 55 66 69 75 110 115 121 125 138 150 165 230 242 250 253 275 330 345 363 375 506 529 550 575 605 625 690 726 750 759 825 1058 1150 1210 1250 1265 1331 1375 1518 1587 1650 1725 1815 1875 2530 2645 2662 2750 2783 2875 3025 3125 3174 3450 3630 3750 3795 3993 4125 5290 5566 5750 5819 6050 6250 6325 6655 6875 7590 7935 7986 8250 8349 8625 9075 9375 11638 12167 12650 13225 13310 13750 13915 14375 14641 15125 15625 15870 16698 17250 17457 18150 18750 18975 19965 20625 24334 26450 27830 28750 29095 29282 30250 30613 31250 31625 33275 34375 34914 36501 37950 39675 39930 41250 41745 43125 43923 45375 46875 58190 60835 61226 63250 64009 66125 66550 68750 69575 71875 73002 73205 75625 78125 79350 83490 86250 87285 87846 90750 91839 93750 94875 99825 103125 121670 128018 132250 133837 139150 143750 145475 146410 151250 153065 156250 158125 166375 171875 174570 182505 183678 189750 192027 198375 199650 206250 208725 215625 219615 226875 234375 267674 279841 290950 304175 306130 316250 320045 330625 332750 336743 343750 347875 359375 365010 366025 378125 384054 390625 396750 401511 417450 431250 436425 439230 453750 459195 468750 474375 499125 515625 559682 608350 640090 661250 669185 673486 695750 704099 718750 727375 732050 756250 765325 781250 790625 803022 831875 839523 859375 872850 912525 918390 948750 960135 991875 998250 1010229 1031250 1043625 1078125 1098075 1134375 1171875 1338370 1399205 1408198 1454750 1472207 1520875 1530650 1581250 1600225 1653125 1663750 1679046 1683715 1718750 1739375 1796875 1825050 1830125 1890625 1920270 1953125 1983750 2007555 2020458 2087250 2112297 2156250 2182125 2196150 2268750 2295975 2343750 2371875 2495625 2578125 2798410 2944414 3041750 3078251 3200450 3306250 3345925 3367430 3478750 3520495 3593750 3636875 3660250 3781250 3826625 3906250 3953125 4015110 4159375 4197615 4224594 4296875 4364250 4416621 4562625 4591950 4743750 4800675 4959375 4991250 5051145 5156250 5218125 5390625 5490375 5671875 5859375 6156502 6436343 6691850 6996025 7040990 7273750 7361035 7604375 7653250 7745089 7906250 8001125 8265625 8318750 8395230 8418575 8593750 8696875 8833242 8984375 9125250 9150625 9234753 9453125 9601350 9765625 9918750 10037775 10102290 10436250 10561485 10781250 10910625 10980750 11343750 11479875 11718750 11859375 12478125 12872686 12890625 13992050 14722070 15208750 15391255 15490178 16002250 16194277 16531250 16729625 16837150 17393750 17602475 17968750 18184375 18301250 18469506 18906250 19133125 19309029 19531250 19765625 20075550 20796875 20988075 21122970 21484375 21821250 22083105 22813125 22959750 23235267 23718750 24003375 24796875 24956250 25255725 25781250 26090625 26953125 27451875 28359375 29296875 30782510 32181715 32388554 33459250 33860761 34980125 35204950 36368750 36805175 38021875 38266250 38618058 38725445 39531250 40005625 41328125 41593750 41976150 42092875 42968750 43484375 44166210 44921875 45626250 45753125 46173765 46470534 47265625 48006750 48582831 48828125 49593750 50188875 50511450 52181250 52807425 53906250 54553125 54903750 56718750 57399375 58593750 59296875 62390625 64363430 64453125 67721522 69960250 70799773 73610350 76043750 76956275 77450890 80011250 80971385 82656250 83648125 84185750 86968750 88012375 89843750 90921875 91506250 92347530 94531250 95665625 96545145 97165662 97656250 98828125 100377750 101582283 103984375 104940375 105614850 107421875 109106250 110415525 114065625 114798750 116176335 118593750 120016875 123984375 124781250 126278625 128906250 130453125 134765625 137259375 141599546 141796875 146484375 153912550 160908575 161942770 167296250 169303805 174900625 176024750 178137047 181843750 184025875 190109375 191331250 193090290 193627225 197656250 200028125 203164566 206640625 207968750 209880750 210464375 212399319 214843750 217421875 220831050 224609375 228131250 228765625 230868825 232352670 236328125 240033750 242914155 244140625 247968750 250944375 252557250 260906250 264037125 269531250 272765625 274518750 283593750 286996875 292968750 296484375 311953125 321817150 322265625 338607610 349801250 353998865 356274094 368051750 372468371 380218750 384781375 387254450 400056250 404856925 413281250 418240625 420928750 424798638 434843750 440061875 449218750 454609375 457531250 461737650 472656250 478328125 482725725 485828310 488281250 494140625 501888750 507911415 519921875 524701875 528074250 534411141 537109375 545531250 552077625 570328125 573993750 580881675 592968750 600084375 619921875 623906250 631393125 644531250 652265625 673828125 686296875 707997730 708984375 732421875 744936742 769562750 778797503 804542875 809713850 836481250 846519025 874503125 880123750 890685235 909218750 920129375 950546875 956656250 965451450 968136125 988281250 1000140625 1015822830 1033203125 1039843750 1049403750 1052321875 1061996595 1068822282 1074218750 1087109375 1104155250 1117405113 1123046875 1140656250 1143828125 1154344125 1161763350 1181640625 1200168750 1214570775 1239843750 1254721875 1262786250 1304531250 1320185625 1347656250 1363828125 1372593750 1417968750 1434984375 1464843750 1482421875 1557595006 1559765625 1609085750 1611328125 1693038050 1749006250 1769994325 1781370470 1840258750 1862341855 1901093750 1923906875 1936272250 2000281250 2024284625 2066406250 2091203125 2104643750 2123993190 2174218750 2200309375 2234810226 2246093750 2273046875 2287656250 2308688250 2336392509 2363281250 2391640625 2413628625 2429141550 2470703125 2509443750 2539557075 2599609375 2623509375 2640371250 2672055705 2685546875 2727656250 2760388125 2851640625 2869968750 2904408375 2964843750 3000421875 3099609375 3119531250 3156965625 3222656250 3261328125 3369140625 3431484375 3539988650 3544921875 3724683710 3847813750 3893987515 4022714375 4048569250 4097152081 4182406250 4232595125 4372515625 4400618750 4453426175 4546093750 4600646875 4672785018 4752734375 4783281250 4827257250 4840680625 4941406250 5000703125 5079114150 5166015625 5199218750 5247018750 5261609375 5309982975 5344111410 5371093750 5435546875 5520776250 5587025565 5615234375 5703281250 5719140625 5771720625 5808816750 5908203125 6000843750 6072853875 6199218750 6273609375 6313931250 6522656250 6600928125 6738281250 6819140625 6862968750 7089843750 7174921875 7412109375 7787975030 7798828125 8045428750 8056640625 8194304162 8465190250 8566772533 8745031250 8849971625 8906852350 9201293750 9311709275 9505468750 9619534375 9681361250 10001406250 10121423125 10332031250 10456015625 10523218750 10619965950 10871093750 11001546875 11174051130 11230468750 11365234375 11438281250 11543441250 11681962545 11816406250 11958203125 12068143125 12145707750 12291456243 12353515625 12547218750 12697785375 12998046875 13117546875 13201856250 13360278525 13638281250 13801940625 14258203125 14349843750 14522041875 14824218750 15002109375 15498046875 15597656250 15784828125 16113281250 16306640625 16845703125 17133545066 17157421875 17699943250 17724609375 18623418550 19239068750 19469937575 20113571875 20242846250 20485760405 20912031250 21162975625 21862578125 22003093750 22267130875 22730468750 23003234375 23363925090 23763671875 23916406250 24136286250 24203403125 24582912486 24707031250 25003515625 25395570750 25700317599 25830078125 25996093750 26235093750 26308046875 26549914875 26720557050 27177734375 27603881250 27935127825 28516406250 28595703125 28858603125 29044083750 29541015625 30004218750 30364269375 30996093750 31368046875 31569656250 32613281250 33004640625 33691406250 34095703125 34314843750 35449218750 35874609375 37060546875 38939875150 38994140625 40227143750 40971520810 42325951250 42833862665 43725156250 44249858125 44534261750 46006468750 46558546375 47527343750 48097671875 48406806250 50007031250 50607115625 51400635198 51660156250 52280078125 52616093750 53099829750 54355468750 55007734375 55870255650 56826171875 57191406250 57717206250 58409812725 59082031250 59791015625 60340715625 60728538750 61457281215 61767578125 62736093750 63488926875 64990234375 65587734375 66009281250 66801392625 68191406250 69009703125 71291015625 71749218750 72610209375 74121093750 75010546875 77490234375 77988281250 78924140625 81533203125 85667725330 85787109375 88499716250 88623046875 93117092750 94234497863 96195343750 97349687875 100567859375 101214231250 102428802025 104560156250 105814878125 109312890625 110015468750 111335654375 113652343750 115016171875 116819625450 118818359375 119582031250 120681431250 121017015625 122914562430 123535156250 125017578125 126977853750 128501587995 129150390625 129980468750 131175468750 131540234375 132749574375 133602785250 135888671875 138019406250 139675639125 142582031250 142978515625 144293015625 145220418750 150021093750 151821346875 154980468750 156840234375 157848281250 163066406250 165023203125 170478515625 171574218750 177246093750 179373046875 185302734375 188468995726 194699375750 194970703125 201135718750 204857604050 211629756250 214169313325 218625781250 221249290625 222671308750 230032343750 232792731875 237636718750 240488359375 242034031250 250035156250 253035578125 257003175990 258300781250 261400390625 263080468750 265499148750 271777343750 275038671875 279351278250 282703493589 284130859375 285957031250 288586031250 292049063625 298955078125 301703578125 303642693750 307286406075 313680468750 317444634375 324951171875 327938671875 330046406250 334006963125 340957031250 345048515625 356455078125 358746093750 363051046875 370605468750 375052734375 387451171875 389941406250 394620703125 407666015625 428338626650 428935546875 442498581250 465585463750 471172489315 480976718750 486748439375 502839296875 506071156250 512144010125 522800781250 529074390625 546564453125 550077343750 556678271875 565406987178 568261718750 575080859375 584098127250 594091796875 597910156250 603407156250 605085078125 614572812150 625087890625 634889268750 642507939975 649902343750 655877343750 657701171875 663747871875 668013926250 679443359375 690097031250 698378195625 712910156250 714892578125 721465078125 726102093750 750105468750 759106734375 774902343750 784201171875 789241406250 815332031250 825116015625 852392578125 857871093750 896865234375 942344978630 973496878750 974853515625 1005678593750 1024288020250 1058148781250 1070846566625 1093128906250 1106246453125 1113356543750 1150161718750 1163963659375 1188183593750 1202441796875 1210170156250 1250175781250 1265177890625 1285015879950 1307001953125 1315402343750 1327495743750 1358886718750 1375193359375 1396756391250 1413517467945 1420654296875 1429785156250 1442930156250 1460245318125 1494775390625 1508517890625 1518213468750 1536432030375 1568402343750 1587223171875 1639693359375 1650232031250 1670034815625 1704785156250 1725242578125 1782275390625 1793730468750 1815255234375 1875263671875 1949707031250 1973103515625 2038330078125 2141693133250 2144677734375 2212492906250 2327927318750 2355862446575 2404883593750 2433742196875 2514196484375 2530355781250 2560720050625 2614003906250 2645371953125 2732822265625 2750386718750 2783391359375 2827034935890 2841308593750 2875404296875 2920490636250 2970458984375 2989550781250 3017035781250 3025425390625 3072864060750 3125439453125 3174446343750 3212539699875 3279386718750 3288505859375 3318739359375 3340069631250 3450485156250 3491890978125 3564550781250 3574462890625 3607325390625 3630510468750 3750527343750 3795533671875 3921005859375 3946207031250 4076660156250 4125580078125 4261962890625 4289355468750 4484326171875 4711724893150 4867484393750 5028392968750 5121440101250 5290743906250 5354232833125 5465644531250 5531232265625 5566782718750 5750808593750 5819818296875 5940917968750 6012208984375 6050850781250 6250878906250 6325889453125 6425079399750 6535009765625 6577011718750 6637478718750 6875966796875 6983781956250 7067587339725 7148925781250 7214650781250 7301226590625 7473876953125 7542589453125 7591067343750 7682160151875 7842011718750 7936115859375 8198466796875 8251160156250 8350174078125 8523925781250 8626212890625 8911376953125 8968652343750 9076276171875 9376318359375 9865517578125 10708465666250 10723388671875 11062464531250 11639636593750 11779312232875 12024417968750 12168710984375 12570982421875 12651778906250 12803600253125 13070019531250 13226859765625 13664111328125 13751933593750 13916956796875 14135174679450 14377021484375 14602453181250 14947753906250 15085178906250 15127126953125 15364320303750 15627197265625 15872231718750 16062698499375 16396933593750 16442529296875 16593696796875 16700348156250 17252425781250 17459454890625 17822753906250 18036626953125 18152552343750 18752636718750 18977668359375 19605029296875 19731035156250 20627900390625 21446777343750 22421630859375 23558624465750 24337421968750 25141964843750 25607200506250 26453719531250 26771164165625 27328222656250 27656161328125 27833913593750 28754042968750 29099091484375 30061044921875 30254253906250 31254394531250 31629447265625 32125396998750 32675048828125 32885058593750 33187393593750 34379833984375 34918909781250 35337936698625 36073253906250 36506132953125 37712947265625 37955336718750 38410800759375 39210058593750 39680579296875 40992333984375 41255800781250 41750870390625 43131064453125 44843261718750 45381380859375 46881591796875 49327587890625 53542328331250 55312322656250 58198182968750 58896561164375 60122089843750 60843554921875 62854912109375 63258894531250 64018001265625 65350097656250 66134298828125 68320556640625 68759667968750 69584783984375 70675873397250 71885107421875 73012265906250 75425894531250 75635634765625 76821601518750 79361158593750 80313492496875 81984667968750 82212646484375 82968483984375 83501740781250 86262128906250 87297274453125 90183134765625 90762761718750 93763183593750 94888341796875 98025146484375 98655175781250 103139501953125 117793122328750 121687109843750 125709824218750 128036002531250 132268597656250 133855820828125 136641113281250 138280806640625 139169567968750 143770214843750 145495457421875 150305224609375 151271269531250 158147236328125 160626984993750 164425292968750 165936967968750 171899169921875 174594548906250 176689683493125 180366269531250 182530664765625 188564736328125 189776683593750 192054003796875 196050292968750 198402896484375 204961669921875 206279003906250 208754351953125 215655322265625 226906904296875 246637939453125 267711641656250 276561613281250 290990914843750 294482805821875 300610449218750 304217774609375 314274560546875 316294472656250 320090006328125 330671494140625 343798339843750 347923919921875 353379366986250 359425537109375 365061329531250 377129472656250 378178173828125 384108007593750 396805792968750 401567462484375 409923339843750 414842419921875 417508703906250 431310644531250 436486372265625 450915673828125 453813808593750 474441708984375 493275878906250 515697509765625 588965611643750 608435549218750 628549121093750 640180012656250 661342988281250 669279104140625 691404033203125 695847839843750 718851074218750 727477287109375 751526123046875 756356347656250 790736181640625 803134924968750 829684839843750 872972744531250 883448417465625 901831347656250 912653323828125 942823681640625 948883417968750 960270018984375 992014482421875 1031395019531250 1043771759765625 1078276611328125 1134534521484375 1338558208281250 1382808066406250 1454954574218750 1472414029109375 1503052246093750 1521088873046875 1571372802734375 1581472363281250 1600450031640625 1653357470703125 1739619599609375 1766896834931250 1825306647656250 1885647363281250 1890890869140625 1920540037968750 1984028964843750 2007837312421875 2074212099609375 2087543519531250 2156553222656250 2182431861328125 2254578369140625 2269069042968750 2372208544921875 2944828058218750 3042177746093750 3142745605468750 3200900063281250 3306714941406250 3346395520703125 3457020166015625 3479239199218750 3637386435546875 3781781738281250 3953680908203125 4015674624843750 4148424199218750 4364863722656250 4417242087328125 4509156738281250 4563266619140625 4714118408203125 4744417089843750 4801350094921875 4960072412109375 5218858798828125 5672672607421875 6692791041406250 6914040332031250 7274772871093750 7362070145546875 7605444365234375 7907361816406250 8002250158203125 8266787353515625 8698097998046875 8834484174656250 9126533238281250 9428236816406250 9602700189843750 9920144824218750 10039186562109375 10371060498046875 10437717597656250 10912159306640625 11345345214843750 11861042724609375 14724140291093750 15210888730468750 16004500316406250 16533574707031250 16731977603515625 17285100830078125 17396195996093750 18186932177734375 20078373124218750 20742120996093750 21824318613281250 22086210436640625 22816333095703125 23722085449218750 24006750474609375 24800362060546875 26094293994140625 33463955207031250 34570201660156250 36373864355468750 36810350727734375 38027221826171875 40011250791015625 43490489990234375 44172420873281250 45632666191406250 48013500949218750 49600724121093750 50195932810546875 51855302490234375 52188587988281250 54560796533203125 73620701455468750 76054443652343750 80022501582031250 83659888017578125 86980979980468750 90934660888671875 100391865621093750 103710604980468750 109121593066406250 110431052183203125 114081665478515625 120033752373046875 130471469970703125 167319776035156250 181869321777343750 184051753638671875 190136109130859375 200056253955078125 220862104366406250 228163330957031250 240067504746093750 250979664052734375 260942939941406250 272803982666015625 368103507277343750 380272218261718750 400112507910156250 418299440087890625 501959328105468750 545607965332031250 552155260916015625 570408327392578125 600168761865234375 836598880175781250 920258768193359375 1000281269775390625 1104310521832031250 1140816654785156250 1200337523730468750 1254898320263671875 1840517536386718750 2000562539550781250 2091497200439453125 2509796640527343750 2760776304580078125 3000843809326171875 4182994400878906250 4601293840966796875 5521552609160156250 6001687618652343750 6274491601318359375 9202587681933593750 12548983202636718750 13803881522900390625 23006469204833984375 27607763045800781250 46012938409667968750 69019407614501953125 138038815229003906250
- Sum of all divisors σ(n): 396859126579189878240
- Sum of proper divisors (its aliquot sum) s(n): 258820311350185971990
- 138038815229003906250 is an abundant number, because the sum of its proper divisors (258820311350185971990) is greater than itself. Its abundance is 120781496121182065740
Bases of 138038815229003906250
- Binary: 11101111011101011000110001100010110111111001000111100111100110010102
- Hexadecimal: 0x77BAC6316FC8F3CCA
- Base-36: T4R5G4XQCZ2RU
Squares and roots of 138038815229003906250
- 138038815229003906250 squared (1380388152290039062502) is 19054714509827080750684976577758789062500
- 138038815229003906250 cubed (1380388152290039062503) is 2630290215463440136962820109037620597518980503082275390625000
-
The
square root of 138038815229003906250 is 11748992094.1757342835 -
The
cube root of 138038815229003906250 is 5168133.7081270441
Scales and comparisons
How big is 138038815229003906250?- 138,038,815,229,003,906,250 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,038,815,229,003,906,250 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138038815229003906250 cubic inches would be around 430677.8 feet tall.
Recreational maths with 138038815229003906250
- 138038815229003906250 backwards is 052609300922518830831
- 138038815229003906250 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138038815229003906250's digits is 75
- More coming soon!
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The information we have on file for 138038815229003906250 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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