138388863568800
138,388,863,568,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138388863568800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
138388863568800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138388863568800:
25 × 3 × 52 × 132 × 172 × 672 × 263
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 17 × 17 × 67 × 67 × 263)See below for interesting mathematical facts about the number 138388863568800 from the Numbermatics database.
Names of 138388863568800
- Cardinal: 138388863568800 can be written as One hundred thirty-eight trillion, three hundred eighty-eight billion, eight hundred sixty-three million, five hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383888635688 × 1014
Factors of 138388863568800
Divisors of 138388863568800
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 65 67 68 75 78 80 85 96 100 102 104 120 130 134 136 150 156 160 169 170 195 200 201 204 208 221 240 255 260 263 268 272 289 300 312 325 335 338 340 390 400 402 408 416 425 442 480 507 510 520 526 536 544 578 600 624 650 663 670 676 680 780 789 800 804 816 845 850 867 871 884 975 1005 1014 1020 1040 1052 1072 1105 1139 1156 1200 1248 1275 1300 1315 1326 1340 1352 1360 1445 1560 1578 1608 1632 1675 1690 1700 1734 1742 1768 1950 2010 2028 2040 2080 2104 2144 2210 2278 2312 2400 2535 2550 2600 2613 2630 2652 2680 2704 2720 2873 2890 3120 3156 3216 3315 3350 3380 3400 3417 3419 3468 3484 3536 3757 3900 3945 4020 4056 4080 4208 4225 4335 4355 4420 4471 4489 4556 4624 5025 5070 5100 5200 5226 5260 5304 5360 5408 5525 5695 5746 5780 6240 6312 6432 6575 6630 6700 6760 6800 6834 6838 6936 6968 7072 7225 7514 7800 7890 8040 8112 8160 8416 8450 8619 8670 8710 8840 8942 8978 9112 9248 10050 10140 10200 10257 10400 10452 10520 10608 10720 11050 11271 11323 11390 11492 11560 12624 12675 13065 13150 13260 13400 13413 13467 13520 13600 13668 13676 13872 13936 14365 14450 14807 15028 15600 15780 16080 16224 16575 16900 17085 17095 17238 17340 17420 17621 17680 17884 17956 18224 18785 19363 19725 20100 20280 20400 20514 20904 21040 21216 21675 21775 22100 22355 22445 22542 22646 22780 22984 23120 25248 25350 26130 26300 26520 26800 26826 26934 27040 27336 27352 27744 27872 28475 28730 28900 29614 30056 31200 31560 32160 33150 33800 33969 34170 34190 34476 34680 34840 35242 35360 35768 35912 36448 37570 38726 39450 40200 40560 40800 41028 41808 42080 43095 43350 43550 44200 44421 44447 44710 44890 45084 45292 45560 45968 46240 48841 50700 51285 52260 52600 52863 53040 53600 53652 53868 54672 54704 56355 56615 56950 57460 57800 58089 58123 58357 59228 60112 63120 65325 66300 67065 67335 67600 67938 68340 68380 68952 69360 69680 70484 71536 71824 71825 74035 75140 76007 76313 77452 78900 80400 81120 82056 83616 85425 85475 86190 86700 87100 88105 88400 88842 88894 89420 89780 90168 90584 91120 91936 93925 96815 97682 101400 102570 104520 105200 105726 106080 107304 107736 109344 109408 111775 112225 112710 113230 113900 114920 115600 116178 116246 116714 118456 120224 126240 130650 132600 133341 134130 134670 135200 135876 136680 136760 137904 138720 139360 140968 143072 143648 143650 146523 148070 150280 152014 152626 154904 157800 160800 164112 169845 170850 170950 172380 173400 174200 174369 175071 176210 176800 177684 177788 178840 179560 180336 181168 182240 187850 192491 193630 195364 202800 205140 209040 210400 211452 214608 215472 215475 222105 222235 223550 224450 225420 226460 227800 228021 228939 229073 229840 231200 232356 232492 233428 236912 244205 251719 256425 261300 264315 265200 266682 268260 269340 271752 273360 273520 275808 281775 281936 283075 287300 290445 290615 291785 293046 296140 299557 300560 304028 305252 309808 315600 328224 335325 336675 339690 341700 341900 344760 346800 348400 348738 350142 352420 355368 355576 357680 359120 360672 362336 370175 375700 380035 381565 384982 387260 390728 405600 410280 418080 422904 429216 430944 430950 440525 444210 444470 447100 448900 450840 452920 455600 456042 457878 458146 459680 464712 464984 466856 473824 484075 488410 503438 512850 522600 528630 530400 533364 536520 538680 543504 546720 547040 563550 563872 566150 574600 577473 580890 581230 583570 586092 592280 599114 601120 608056 610504 619616 631200 666705 670650 673350 679380 683400 683800 687219 689520 693600 696800 697476 700284 704840 710736 711152 715360 718240 732615 740350 751400 755157 755599 758641 760070 763130 769964 774520 781456 820560 845808 849225 861900 871845 875355 881050 888420 888940 894200 897800 898671 901680 905840 911200 912084 915756 916292 929424 929968 933712 962455 968150 976820 988091 992069 1006876 1025700 1045200 1057260 1066728 1073040 1077360 1087008 1110525 1111175 1127100 1132300 1140105 1144695 1145365 1149200 1154946 1161780 1162460 1167140 1172184 1180607 1184560 1198228 1216112 1221008 1221025 1258595 1297321 1321575 1333410 1341300 1346700 1358760 1366800 1367600 1374438 1379040 1394952 1400568 1409680 1421472 1422304 1452225 1453075 1458925 1465230 1480700 1497785 1502800 1510314 1511198 1517282 1520140 1526260 1539928 1549040 1562912 1641120 1691616 1698450 1723800 1743690 1750710 1762100 1776840 1777880 1788400 1795600 1797342 1803360 1811680 1824168 1831512 1832584 1858848 1859936 1867424 1900175 1907825 1924910 1936300 1953640 1976182 1984138 2013752 2051400 2090400 2114520 2133456 2146080 2154720 2221050 2222350 2254200 2264600 2266797 2275923 2280210 2289390 2290730 2298400 2309892 2323560 2324920 2334280 2344368 2361214 2369120 2396456 2432224 2442016 2442050 2517190 2594642 2643150 2666820 2682600 2693400 2717520 2733600 2735200 2748876 2789904 2801136 2819360 2887365 2904450 2906150 2917850 2930460 2961400 2964273 2976207 2977949 2995570 3005600 3020628 3022396 3034564 3040280 3052520 3079856 3098080 3272347 3333525 3396900 3436095 3447600 3487380 3501420 3524200 3541821 3553680 3555760 3576800 3591200 3594684 3648336 3663024 3663075 3665168 3775785 3777995 3793205 3800350 3815650 3849820 3872600 3891963 3894241 3907280 3952364 3968276 4027504 4102800 4229040 4266912 4359225 4376775 4442100 4444700 4493355 4508400 4529200 4533594 4551846 4560420 4578780 4581460 4619784 4647120 4649840 4668560 4688736 4722428 4792912 4812275 4884100 4940455 4960345 5034380 5092469 5189284 5286300 5333640 5365200 5386800 5435040 5497752 5579808 5602272 5700525 5723475 5726825 5774730 5808900 5812300 5835700 5860920 5903035 5922800 5928546 5952414 5955898 5991140 6041256 6044792 6069128 6080560 6105040 6159712 6292975 6486605 6544694 6667050 6793800 6872190 6895200 6974760 7002840 7048400 7083642 7107360 7111520 7189368 7296672 7326048 7326150 7330336 7488925 7551570 7555990 7586410 7600700 7631300 7699640 7745200 7783926 7788482 7814560 7904728 7936552 8055008 8205600 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20070319 20137520 20369876 20757136 21145200 21334560 21991008 22466775 22667970 22759230 22802100 22893900 22907300 23098920 23235600 23249200 23342800 23365446 23443680 23612140 23714184 23809656 23823592 23964560 24165024 24179168 24276512 24702275 24801725 25171900 25462345 25690366 25793794 25946420 26178776 26668200 27175200 27488760 27899040 28011360 28334568 28757472 28873650 29304600 29515175 29642730 29762070 29779490 29955700 30206280 30223960 30345640 30402800 30525200 30554814 30695782 30798560 31135704 31153928 31618912 31746208 32433025 32723470 33730346 34360950 34873800 35014200 35418210 35536800 35557600 35735388 35946840 36268752 36414768 36483360 36630240 36651680 37757850 37779424 37779950 37932050 38498200 38535549 38690691 38919630 38942410 39072800 39268164 39523640 39682760 40140638 40275040 40739752 41514272 42290400 44669235 44933550 45335940 45518460 45604200 45787800 45814600 46043673 46197840 46471200 46498400 46685600 46730892 47224280 47428368 47619312 47647184 47929120 49085205 49404550 49603450 50343800 50595519 50625133 50924690 51380732 51587588 51892840 52357552 53336400 54977520 56669136 56669925 56898075 57747300 58413615 58609200 59030350 59285460 59524140 59558980 59911400 60210957 60412560 60447920 60691280 60805600 61050400 61109628 61391564 62271408 62307856 64225915 64484485 64866050 65446940 66202097 67460692 68721900 69747600 70028400 70836420 71470776 71893680 72537504 72829536 74106825 74405175 74448725 75515700 75559900 75864100 76387035 76739455 76996400 77071098 77381382 77839260 77884820 78536328 79047280 79365520 80281276 81479504 81808675 84325865 88545525 89338470 89867100 90671880 91036920 91208400 91575600 91629200 92087346 92395680 93461784 94448560 94856736 95238624 95294368 97299075 97356025 98170410 98809100 99206900 100351595 100687600 101191038 101250266 101849380 102761464 103175176 103785680 104715104 106672800 109955040 113338272 113339850 113796150 115494600 116827230 117218400 118060700 118570920 119048280 119117960 119822800 120421914 120825120 120895840 121382560 122219256 122783128 124542816 124615712 127311725 128451830 128968970 129732100 130893880 132404194 134921384 137443800 139495200 140056800 141672840 142941552 143787360 148213650 148810350 148897450 151031400 151119800 151728200 151875399 152774070 153478910 153992800 154142196 154762764 155678520 155769640 157072656 158094560 158731040 160562552 162959008 163617350 168651730 177091050 178676940 179734200 181343760 182073840 182416800 183151200 183258400 184174692 186923568 188897120 192677745 193453455 194598150 194712050 196340820 197618200 198413800 198606291 199522583 200703190 201375200 202382076 202500532 203698760 205522928 206350352 207571360 219247249 223346175 226679700 227592300 230218365 230989200 233654460 236121400 237141840 238096560 238235920 239645600 240843828 244438512 245426025 245566256 252977595 253125665 254623450 256903660 257937940 259464200 260914147 261787760 264808388 269842768 274887600 283345680 285883104 292068075 296427300 297620700 297794900 301054785 302062800 302239600 303456400 303750798 305548140 306957820 308284392 309525528 311357040 311539280 314145312 321125104 321129575 322422425 327234700 331010485 337303460 341195423 354182100 357353880 359468400 362687520 364147680 368349384 373847136 381935175 383697275 385355490 386906910 389196300 389424100 392681640 395236400 396827600 397212582 399045166 401406380 404764152 405001064 407397520 411045856 412700704 421629325 438494498 446692350 453359400 455184600 460436730 461978400 467308920 472242800 474283680 476193120 476471840 481687656 488877024 490852050 491132512 501757975 505955190 506251330 509246900 513807320 515875880 518928400 521828294 523575520 529616776 539685536 549775200 566691360 584136150 592854600 595241400 595589800 598567749 602109570 604125600 604479200 606912800 607501596 611096280 613915640 616568784 619051056 622714080 623078560 642250208 642259150 644844850 654469400 657741747 662020970 674606920 682390846 708364200 714707760 718936800 736698768 759376995 763870350 767394550 770710980 773813820 778392600 778848200 782742441 785363280 790472800 793655200 794425164 798090332 802812760 809528304 810002128 814795040 843258650 860627261 876988996 893384700 906718800 910369200 920873460 934617840 944485600 963375312 963388725 967267275 981704100 993031455 997612915 1003515950 1011910380 1012502660 1018493800 1023586269 1027614640 1031751760 1037856800 1043656588 1059233552 1096236245 1151091825 1168272300 1185709200 1190482800 1191179600 1197135498 1204219140 1215003192 1222192560 1227831280 1233137568 1238102112 1264887975 1265628325 1284518300 1289689700 1304570735 1308938800 1315483494 1324041940 1349213840 1364781692 1416728400 1429415520 1473397536 1505273925 1518753990 1527740700 1534789100 1541421960 1547627640 1556785200 1557696400 1565484882 1570726560 1588850328 1596180664 1605625520 1619056608 1620004256 1655052425 1686517300 1705977115 1721254522 1753977992 1786769400 1813437600 1820738400 1841746920 1869235680 1926750624 1926777450 1934534550 1963408200 1986062910 1995225830 2007031900 2023820760 2025005320 2036987600 2047172538 2055229280 2063503520 2087313176 2118467104 2192472490 2302183650 2336544600 2371418400 2380965600 2382359200 2394270996 2408438280 2430006384 2444385120 2455662560 2529775950 2531256650 2569036600 2579379400 2581881783 2609141470 2617877600 2630966988 2648083880 2698427680 2729563384 2833456800 2992838745 3010547850 3037507980 3055481400 3069578200 3082843920 3095255280 3113570400 3115392800 3130969764 3177700656 3192361328 3211251040 3288708735 3310104850 3373034600 3391883911 3411954230 3442509044 3507955984 3573538800 3683493840 3796884975 3853554900 3869069100 3913712205 3926816400 3972125820 3990451660 4014063800 4047641520 4050010640 4073975200 4094345076 4174626352 4303136305 4384944980 4435540499 4604367300 4673089200 4788541992 4816876560 4860012768 4965157275 4988064575 5059551900 5062513300 5117931345 5138073200 5158758800 5163763566 5218282940 5261933976 5296167760 5459126768 5481181225 5985677490 6021095700 6075015960 6110962800 6139156400 6165687840 6190510560 6261939528 6355401312 6384722656 6522853675 6577417470 6620209700 6746069200 6783767822 6823908460 6885018088 7015911968 7147077600 7366987680 7593769950 7707109800 7738138200 7827424410 7853632800 7944251640 7980903320 8028127600 8095283040 8100021280 8188690152 8349252704 8529885575 8606272610 8769889960 8871080998 9208734600 9346178400 9577083984 9633753120 9930314550 9976129150 10119103800 10125026600 10175651733 10235862690 10276146400 10317517600 10327527132 10436565880 10523867952 10592335520 10918253536 10962362450 11971354980 12042191400 12150031920 12221925600 12278312800 12523879056 12909408915 13045707350 13154834940 13240419400 13306621497 13492138400 13567535644 13647816920 13770036176 14964193725 15187539900 15414219600 15476276400 15654848820 15888503280 15961806640 16056255200 16377380304 16443543675 16959419555 17059771150 17212545220 17539779920 17742161996 18417469200 19154167968 19568561025 19860629100 19952258300 20238207600 20250053200 20351303466 20471725380 20655054264 20873131760 21047735904 21515681525 21924724900 22177702495 23942709960 24084382800 24300063840 25047758112 25589656725 25818817830 26091414700 26309669880 26480838800 26613242994 27135071288 27295633840 27540072352 29928387450 30375079800 30828439200 30952552800 31309697640 31777006560 31923613280 32754760608 32887087350 33918839110 34119542300 34425090440 35079559840 35484323992 36834938400 39137122050 39721258200 39904516600 40476415200 40500106400 40702606932 40943450760 41310108528 41746263520 43031363050 43849449800 44355404990 47885419920 48168765600 50878258665 51179313450 51637635660 52182829400 52619339760 52961677600 53226485988 54270142576 54591267680 57662026487 59856774900 60750159600 62619395280 64547044575 65774174700 66533107485 67837678220 68239084600 68850180880 70968647984 78274244100 79442516400 79809033200 81405213864 81886901520 82620217056 84797097775 86062726100 87698899600 88710809980 95770839840 101756517330 102358626900 103275271320 104365658800 105238679520 106452971976 108540285152 110888512475 115324052974 119713549800 121500319200 125238790560 129094089150 131548349400 133066214970 135675356440 136478169200 137700361760 141937295968 156548488200 158885032800 159618066400 162810427728 163773803040 169594195550 172125452200 172986079461 175397799200 177421619960 203513034660 204717253800 206550542640 208731317600 212905943952 221777024950 230648105948 239427099600 254391293325 258188178300 263096698800 266132429940 271350712880 272956338400 288310132435 313096976400 325620855456 332665537425 339188391100 344250904400 345972158922 354843239920 407026069320 409434507600 413101085280 425811887904 443554049900 461296211896 478854199200 508782586650 516376356600 526193397600 532264859880 542701425760 576620264870 626193952800 665331074850 678376782200 688501808800 691944317844 709686479840 814052138640 818869015200 864930397305 887108099800 922592423792 1017565173300 1032752713200 1064529719760 1153240529740 1330662149700 1356753564400 1383888635688 1441550662175 1628104277280 1729860794610 1774216199600 1845184847584 2035130346600 2065505426400 2129059439520 2306481059480 2661324299400 2713507128800 2767777271376 2883101324350 3459721589220 3548432399200 4070260693200 4324651986525 4612962118960 5322648598800 5535554542752 5766202648700 6919443178440 8140521386400 8649303973050 9225924237920 10645297197600 11532405297400 13838886356880 17298607946100 23064810594800 27677772713760 34597215892200 46129621189600 69194431784400 138388863568800
- Sum of all divisors σ(n): 528000890842656
- Sum of proper divisors (its aliquot sum) s(n): 389612027273856
- 138388863568800 is an abundant number, because the sum of its proper divisors (389612027273856) is greater than itself. Its abundance is 251223163705056
Bases of 138388863568800
- Binary: 111110111011101001010110000110111001011101000002
- Hexadecimal: 0x7DDD2B0DCBA0
- Base-36: 1D1YYS9VHC
Squares and roots of 138388863568800
- 138388863568800 squared (1383888635688002) is 19151477559863939872333440000
- 138388863568800 cubed (1383888635688003) is 2650351215172945509683198917861980672000000
-
The
square root of 138388863568800 is 11763879.6138348849 -
The
cube root of 138388863568800 is 51724.9859047671
Scales and comparisons
How big is 138388863568800?- 138,388,863,568,800 seconds is equal to 4,400,337 years, 41 weeks, 2 days, 23 hours, 20 minutes.
-
To count from 1 to 138,388,863,568,800 would take you about eleven million, eight hundred forty-four 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 138388863568800 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138388863568800
- 138388863568800 backwards is 008865368883831
- 138388863568800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138388863568800's digits is 75
- More coming soon!
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"Number 138388863568800 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 138388863568800 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138388863568800/
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The information we have on file for 138388863568800 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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