138670516733132800
138,670,516,733,132,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138670516733132800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
138670516733132800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138670516733132800:
214 × 52 × 132 × 149 × 1709 × 7867
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 149 × 1709 × 7867)See below for interesting mathematical facts about the number 138670516733132800 from the Numbermatics database.
Names of 138670516733132800
- Cardinal: 138670516733132800 can be written as One hundred thirty-eight quadrillion, six hundred seventy trillion, five hundred sixteen billion, seven hundred thirty-three million, one hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.386705167331328 × 1017
Factors of 138670516733132800
Divisors of 138670516733132800
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 149 160 169 200 208 256 260 298 320 325 338 400 416 512 520 596 640 650 676 745 800 832 845 1024 1040 1192 1280 1300 1352 1490 1600 1664 1690 1709 1937 2048 2080 2384 2560 2600 2704 2980 3200 3328 3380 3418 3725 3874 4096 4160 4225 4768 5120 5200 5408 5960 6400 6656 6760 6836 7450 7748 7867 8192 8320 8450 8545 9536 9685 10240 10400 10816 11920 12800 13312 13520 13672 14900 15496 15734 16384 16640 16900 17090 19072 19370 20480 20800 21632 22217 23840 25181 25600 26624 27040 27344 29800 30992 31468 33280 33800 34180 38144 38740 39335 40960 41600 42725 43264 44434 47680 48425 50362 51200 53248 54080 54688 59600 61984 62936 66560 67600 68360 76288 77480 78670 81920 83200 85450 86528 88868 95360 96850 100724 102271 102400 106496 108160 109376 111085 119200 123968 125872 125905 133120 135200 136720 152576 154960 157340 166400 170900 173056 177736 190720 193700 196675 201448 204542 204800 212992 216320 218752 222170 238400 247936 251744 251810 254641 266240 270400 273440 288821 305152 309920 314680 332800 341800 346112 355472 381440 387400 393350 402896 409084 409600 432640 437504 444340 476800 495872 503488 503620 509282 511355 532480 540800 546880 555425 577642 610304 619840 629360 629525 665600 683600 692224 710944 762880 774800 786700 805792 818168 865280 875008 888680 953600 991744 1006976 1007240 1018564 1022710 1064960 1081600 1093760 1110850 1155284 1172183 1220608 1239680 1258720 1259050 1273205 1329523 1331200 1367200 1384448 1421888 1444105 1525760 1549600 1573400 1611584 1636336 1730560 1750016 1777360 1907200 1983488 2013952 2014480 2037128 2045420 2163200 2187520 2221700 2310568 2344366 2441216 2479360 2517440 2518100 2546410 2556775 2659046 2662400 2734400 2768896 2843776 2888210 3051520 3099200 3146800 3223168 3272672 3310333 3461120 3500032 3554720 3814400 3966976 4027904 4028960 4074256 4090840 4326400 4375040 4443400 4621136 4688732 4958720 5034880 5036200 5092820 5113550 5318092 5324800 5468800 5687552 5776420 5860915 6103040 6198400 6293600 6366025 6446336 6545344 6620666 6647615 6922240 7000064 7109440 7220525 7628800 7933952 8055808 8057920 8148512 8181680 8652800 8750080 8886800 9242272 9377464 9917440 10069760 10072400 10185640 10227100 10636184 10937600 11375104 11552840 11721830 12206080 12396800 12587200 12732050 12892672 13090688 13241332 13295230 13444703 13844480 14000128 14218880 14441050 15238379 15257600 15867904 16111616 16115840 16297024 16363360 16551665 17305600 17500160 17773600 18484544 18754928 19834880 20139520 20144800 20371280 20454200 21272368 21875200 22750208 23105680 23443660 24793600 25174400 25464100 25785344 26181376 26482664 26590460 26889406 28000256 28437760 28882100 29304575 30476758 30515200 31735808 32223232 32231680 32594048 32726720 33103330 33238075 34611200 35000320 35547200 36969088 37509856 39669760 40279040 40289600 40742560 40908400 42544736 43034329 43750400 45500416 46211360 46887320 49587200 50348800 50928200 51570688 52362752 52965328 53180920 53778812 56875520 57764200 58609150 60953516 61030400 64446464 64463360 65188096 65453440 66206660 66476150 67223515 69222400 70000640 71094400 73938176 75019712 76191895 79339520 80558080 80579200 81485120 81816800 82758325 85089472 86068658 87500800 91000832 92422720 93774640 99174400 100697600 101856400 103141376 104725504 105930656 106361840 107557624 113751040 115528400 117218300 121907032 128892928 128926720 130376192 130906880 132413320 132952300 134447030 140001280 142188800 147876352 150039424 152383790 158679040 161116160 161158400 162970240 163633600 165516650 170178944 172137316 174781139 175001600 182001664 184845440 187549280 198098927 198348800 201395200 203712800 206282752 209451008 211861312 212723680 215115248 215171645 227502080 231056800 234436600 243814064 257853440 260752384 261813760 264826640 265904600 268894060 284377600 295752704 300078848 304767580 322232320 322316800 325940480 327267200 331033300 336117575 340357888 344274632 349562278 350003200 364003328 369690880 375098560 380959475 396197854 396697600 402790400 407425600 412565504 418902016 423722624 425447360 430230496 430343290 455004160 462113600 468873200 487628128 515706880 521504768 523627520 529653280 531809200 537788120 568755200 591505408 600157696 609535160 644464640 644633600 651880960 654534400 662066600 672235150 680715776 688549264 699124556 700006400 739381760 750197120 761918950 792395708 793395200 805580800 814851200 837804032 847445248 850894720 860460992 860686580 873905695 910008320 924227200 937746400 975256256 990494635 1031413760 1043009536 1047255040 1059306560 1063618400 1075576240 1075858225 1137510400 1183010816 1200315392 1219070320 1289267200 1303761920 1309068800 1324133200 1344470300 1361431552 1377098528 1398249112 1478763520 1500394240 1523837900 1584791416 1611161600 1629702400 1675608064 1694890496 1701789440 1720921984 1721373160 1747811390 1820016640 1848454400 1875492800 1950512512 1980989270 2003260747 2062827520 2086019072 2094510080 2118613120 2127236800 2151152480 2151716450 2272154807 2275020800 2366021632 2400630784 2438140640 2578534400 2607523840 2618137600 2648266400 2688940600 2722863104 2754197056 2796498224 2957527040 3000788480 3047675800 3169582832 3222323200 3259404800 3389780992 3403578880 3441843968 3442746320 3495622780 3696908800 3750985600 3901025024 3961978540 4006521494 4172038144 4189020160 4237226240 4254473600 4302304960 4303432900 4369528475 4544309614 4550041600 4732043264 4801261568 4876281280 4952473175 5157068800 5215047680 5236275200 5296532800 5377881200 5445726208 5508394112 5592996448 5915054080 6001576960 6095351600 6339165664 6518809600 6779561984 6807157760 6883687936 6885492640 6991245560 7393817600 7501971200 7802050048 7923957080 8013042988 8378040320 8474452480 8508947200 8604609920 8606865800 8739056950 9088619228 9100083200 9602523136 9752562560 9904946350 10016303735 10314137600 10430095360 10472550400 10593065600 10755762400 10891452416 11016788224 11185992896 11360774035 11830108160 12003153920 12190703200 12678331328 13037619200 13559123968 13614315520 13767375872 13770985280 13982491120 14787635200 15003942400 15604100096 15847914160 16026085976 16948904960 17017894400 17209219840 17213731600 17478113900 18177238456 19205046272 19505125120 19809892700 20032607470 20860190720 20945100800 21186131200 21511524800 21782904832 22033576448 22371985792 22721548070 23660216320 24006307840 24381406400 25356662656 26042389711 26075238400 27118247936 27228631040 27534751744 27541970560 27964982240 29575270400 30007884800 31208200192 31695828320 32052171952 33897809920 34035788800 34418439680 34427463200 34956227800 36354476912 39010250240 39619785400 40065214940 41890201600 42372262400 43023049600 44067152896 44743971584 45443096140 48012615680 48762812800 50081518675 50713325312 52084779422 52150476800 54236495872 54457262080 55069503488 55083941120 55929964480 56803870175 59150540800 60015769600 62416400384 63391656640 64104343904 67795619840 68071577600 68836879360 68854926400 69912455600 72708953824 78020500480 79239570800 80130429880 84744524800 86046099200 88134305792 89487943168 90886192280 96025231360 97525625600 100163037350 101426650624 104169558844 104300953600 108914524160 110139006976 110167882240 111859928960 113607740350 118301081600 120031539200 124832800768 126783313280 128208687808 130211948555 135591239680 136143155200 137673758720 137709852800 139824911200 145417907648 156041000960 158479141600 160260859760 169489049600 172092198400 176268611584 178975886336 181772384560 195051251200 200326074700 202853301248 208339117688 220278013952 220335764480 223719857920 227215480700 240063078400 249665601536 253566626560 256417375616 260423897110 271182479360 272286310400 275347517440 275419705600 279649822400 290835815296 312082001920 316958283200 320521719520 338551066243 338978099200 344184396800 352537223168 357951772672 363544769120 390102502400 400652149400 405706602496 416678235376 440671528960 447439715840 454430961400 480126156800 507133253120 512834751232 520847794220 544572620800 550695034880 550839411200 559299644800 581671630592 624164003840 633916566400 641043439040 651059742775 677102132486 677956198400 688368793600 705074446336 715903545344 727089538240 780205004800 801304298800 811413204992 833356470752 881343057920 894879431680 908861922800 1014266506240 1025669502464 1041695588440 1101390069760 1101678822400 1118599289600 1163343261184 1248328007680 1267833132800 1282086878080 1302119485550 1354204264972 1355912396800 1376737587200 1431807090688 1454179076480 1560410009600 1602608597600 1622826409984 1666712941504 1692755331215 1762686115840 1789758863360 1817723845600 2028533012480 2051339004928 2083391176880 2203357644800 2237198579200 2326686522368 2535666265600 2564173756160 2604238971100 2708408529944 2753475174400 2863614181376 2908358152960 3120820019200 3205217195200 3245652819968 3333425883008 3385510662430 3525372231680 3579517726720 3635447691200 4057066024960 4102678009856 4166782353760 4406715289600 4474397158400 4653373044736 5071332531200 5128347512320 5208477942200 5416817059888 5506950348800 5816716305920 6241640038400 6410434390400 6666851766016 6771021324860 7159035453440 7270895382400 8114132049920 8205356019712 8333564707520 8463776656075 8813430579200 8948794316800 9306746089472 10142665062400 10256695024640 10416955884400 10833634119776 11633432611840 12820868780800 13333703532032 13542042649720 14318070906880 14541790764800 16228264099840 16410712039424 16667129415040 16927553312150 17626861158400 17897588633600 18613492178944 20285330124800 20513390049280 20833911768800 21667268239552 23266865223680 25641737561600 26667407064064 27084085299440 29083581529600 32821424078848 33334258830080 33855106624300 35795177267200 37226984357888 40570660249600 41026780098560 41667823537600 43334536479104 46533730447360 51283475123200 53334814128128 54168170598880 58167163059200 66668517660160 67710213248600 71590354534400 81141320499200 82053560197120 83335647075200 86669072958208 93067460894720 102566950246400 106669628256256 108336341197760 116334326118400 133337035320320 135420426497200 164107120394240 166671294150400 173338145916416 186134921789440 205133900492800 213339256512512 216672682395520 232668652236800 266674070640640 270840852994400 333342588300800 346676291832832 410267800985600 426678513025024 433345364791040 465337304473600 533348141281280 541681705988800 666685176601600 693352583665664 820535601971200 866690729582080 930674608947200 1066696282562560 1083363411977600 1333370353203200 1386705167331328 1733381459164160 2133392565125120 2166726823955200 2666740706406400 2773410334662656 3466762918328320 4333453647910400 5333481412812800 5546820669325312 6933525836656640 8666907295820800 10666962825625600 13867051673313280 17333814591641600 27734103346626560 34667629183283200 69335258366566400 138670516733132800
- Sum of all divisors σ(n): 375146747419122000
- Sum of proper divisors (its aliquot sum) s(n): 236476230685989200
- 138670516733132800 is an abundant number, because the sum of its proper divisors (236476230685989200) is greater than itself. Its abundance is 97805713952856400
Bases of 138670516733132800
- Binary: 1111011001010100000011001101010101011001011000000000000002
- Hexadecimal: 0x1ECA819AAB2C000
- Base-36: 11XELFXS9KHS
Squares and roots of 138670516733132800
- 138670516733132800 squared (1386705167331328002) is 19229512211034063882533302435840000
- 138670516733132800 cubed (1386705167331328003) is 2666566394830180662077450585542500801474199552000000
-
The
square root of 138670516733132800 is 372384904.0081147005 -
The
cube root of 138670516733132800 is 517600.5287311403
Scales and comparisons
How big is 138670516733132800?- 138,670,516,733,132,800 seconds is equal to 4,409,293,496 years, 2 weeks, 1 day, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,670,516,733,132,800 would take you about thirteen billion, two hundred twenty-seven million, eight hundred eighty thousand, four hundred eighty-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 138670516733132800 cubic inches would be around 43133.4 feet tall.
Recreational maths with 138670516733132800
- 138670516733132800 backwards is 008231337615076831
- 138670516733132800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138670516733132800's digits is 64
- More coming soon!
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"Number 138670516733132800 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138670516733132800 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138670516733132800/
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The information we have on file for 138670516733132800 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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