138272257246136832
138,272,257,246,136,832 is an even composite number composed of six prime numbers multiplied together.
138272257246136832 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138272257246136832:
29 × 32 × 73 × 13 × 31 × 6013
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 13 × 31 × 601 × 601 × 601)See below for interesting mathematical facts about the number 138272257246136832 from the Numbermatics database.
Names of 138272257246136832
- Cardinal: 138272257246136832 can be written as One hundred thirty-eight quadrillion, two hundred seventy-two trillion, two hundred fifty-seven billion, two hundred forty-six million, one hundred thirty-six thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 1.38272257246136832 × 1017
Factors of 138272257246136832
Divisors of 138272257246136832
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 31 32 36 39 42 48 49 52 56 62 63 64 72 78 84 91 93 96 98 104 112 117 124 126 128 144 147 156 168 182 186 192 196 208 217 224 234 248 252 256 273 279 288 294 312 336 343 364 372 384 392 403 416 434 441 448 468 496 504 512 546 558 576 588 601 624 637 651 672 686 728 744 768 784 806 819 832 868 882 896 936 992 1008 1029 1092 1116 1152 1176 1202 1209 1248 1274 1302 1344 1372 1456 1488 1519 1536 1568 1612 1638 1664 1736 1764 1792 1803 1872 1911 1953 1984 2016 2058 2184 2232 2304 2352 2404 2418 2496 2548 2604 2688 2744 2821 2912 2976 3038 3087 3136 3224 3276 3328 3472 3528 3584 3606 3627 3744 3822 3906 3968 4032 4116 4207 4368 4459 4464 4557 4608 4704 4808 4836 4992 5096 5208 5376 5409 5488 5642 5733 5824 5952 6076 6174 6272 6448 6552 6656 6944 7056 7212 7254 7488 7644 7812 7813 7936 8064 8232 8414 8463 8736 8918 8928 9114 9408 9616 9672 9984 10192 10416 10633 10752 10818 10976 11284 11466 11648 11904 12152 12348 12544 12621 12896 13104 13377 13671 13888 14112 14424 14508 14976 15288 15624 15626 15872 16128 16464 16828 16926 17472 17836 17856 18228 18631 18816 19232 19344 19747 19968 20384 20832 21266 21636 21952 22568 22932 23296 23439 23808 24304 24696 25088 25242 25389 25792 26208 26754 27342 27776 28224 28848 29016 29449 29952 30576 31248 31252 31899 32256 32928 33656 33852 34944 35672 35712 36456 37262 37632 37863 38464 38688 39494 40131 40768 41664 42532 43272 43904 45136 45864 46592 46878 47616 48608 49392 50484 50778 51584 52416 53508 54684 54691 55552 55893 56448 57696 58032 58898 59241 59904 61152 62496 62504 63798 65856 67312 67704 69888 70317 71344 71424 72912 74524 75264 75726 76928 77376 78988 80262 81536 83328 85064 86544 87808 88347 90272 91728 93756 95697 97216 98784 100968 101556 103168 104832 107016 109368 109382 111104 111786 112896 115392 116064 117796 118482 122304 124992 125008 127596 130417 131712 134624 135408 138229 139776 140634 142688 142848 145824 149048 151452 153856 154752 157976 160524 163072 164073 166656 167679 170128 173088 175616 176694 177723 180544 183456 187512 191394 194432 197568 201936 203112 206143 206336 209664 214032 218736 218764 223572 225792 230784 232128 235592 236964 242203 244608 249984 250016 255192 260834 263424 265041 269248 270816 276458 281268 285376 291648 298096 302904 307712 309504 315952 321048 326144 328146 333312 335358 340256 346176 353388 355446 361088 361201 366912 375024 382788 382837 388864 391251 395136 403872 406224 412286 414687 419328 428064 437472 437528 447144 461568 464256 471184 473928 484406 489216 492219 499968 500032 510384 521668 526848 530082 538496 541632 552916 562536 570752 583296 596192 605808 618429 619008 631904 642096 656292 670716 680512 692352 706776 710892 722176 722402 726609 733824 750048 765576 765674 777728 782502 790272 807744 812448 824572 829374 856128 874944 875056 894288 912919 923136 928512 942368 947856 968812 978432 984438 999936 1000064 1020768 1043336 1060164 1076992 1083264 1083603 1105832 1125072 1141504 1148511 1166592 1173753 1192384 1211616 1236858 1244061 1263808 1284192 1312584 1341432 1361024 1384704 1413552 1421784 1444352 1444804 1453218 1467648 1500096 1531152 1531348 1565004 1580544 1615488 1624896 1649144 1658748 1695421 1712256 1749888 1750112 1788576 1825838 1855287 1857024 1884736 1895712 1937624 1968876 2000128 2041536 2086672 2120328 2153984 2166528 2167206 2179827 2211664 2250144 2283008 2297022 2333184 2347506 2384768 2423232 2473716 2488122 2527616 2528407 2568384 2625168 2679859 2682864 2722048 2738757 2769408 2827104 2843568 2889608 2906436 2935296 3000192 3062304 3062696 3130008 3230976 3249792 3250809 3298288 3317496 3390842 3424512 3445533 3499776 3500224 3577152 3651676 3710574 3769472 3791424 3875248 3937752 4000256 4083072 4173344 4240656 4333056 4334412 4359654 4423328 4500288 4594044 4695012 4695613 4769536 4846464 4947432 4976244 5055232 5056814 5086263 5136768 5250336 5359718 5365728 5444096 5477514 5654208 5687136 5779216 5812872 6000384 6124608 6125392 6260016 6390433 6461952 6499584 6501618 6596576 6634992 6781684 6849024 6891066 6999552 7000448 7154304 7303352 7421148 7538944 7582848 7585221 7750496 7875504 8039577 8166144 8216271 8346688 8481312 8668824 8719308 8846656 9000576 9188088 9390024 9391226 9539072 9692928 9894864 9952488 10110464 10113628 10172526 10273536 10500672 10719436 10731456 10955028 11197231 11308416 11374272 11558432 11625744 11867947 12000768 12249216 12250784 12520032 12780866 12999168 13003236 13193152 13269984 13563368 13782132 14000896 14086839 14308608 14606704 14842296 15077888 15165696 15170442 15258789 15500992 15751008 16079154 16332288 16432542 16693376 16962624 17337648 17438616 17693312 17698849 18001152 18376176 18780048 18782452 19171299 19385856 19789728 19904976 20227256 20345052 20547072 21001344 21438872 21462912 21910056 22394462 22616832 22748544 22755663 23116864 23251488 23735894 24118731 24498432 24501568 25040064 25561732 26006472 26386304 26539968 27126736 27564264 28001792 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154617144864 158015323872 158035551128 161508859944 166718823168 167689731456 170192131984 171183267528 174967931606 176705308416 177789995019 180588941568 180612058432 184351211184 188427003268 190298024448 191406249216 191466148482 194505293696 195638020032 199713812116 203188565736 206156193152 210687098496 215345146592 218818455408 223377173229 223586308608 228244356704 231925717296 237053326692 242263289916 245801614912 250078234752 255288197976 256774901292 260850693376 262451897409 265057962624 270918087648 276526816776 276562214474 280916131328 282640504902 285447036672 291757940544 293457030048 297836230972 299570718174 309234289728 316030647744 316071102256 323017719888 329747255719 333437646336 335379462912 340384263968 342366535056 349935863212 353410616832 355579990038 361177883136 361224116864 368702422368 376854006536 382812498432 382932296964 389010587392 391276040064 399427624232 406377131472 412312386304 414843321711 421374196992 423960757353 430690293184 437636910816 446754346458 449356077261 456488713408 463851434592 474106653384 484526579832 491603229824 500156469504 510576395952 513549802584 521701386752 524903794818 530115925248 541836175296 553053633552 553124428948 565281009804 570894073344 583515881088 586914060096 595672461944 599141436348 612387760621 618468579456 632061295488 632142204512 646035439776 659494511438 670131519687 670758925824 680768527936 684733070112 699871726424 711159980076 722448233728 737404844736 753708013072 765864593928 778021174784 782552080128 787355692227 798855248464 812754262944 824624772608 829686643422 842748393984 847921514706 861380586368 875273821632 893508692916 898712154522 912977426816 927702869184 948213306768 967967750659 969053159664 983206459648 989241767157 1000312939008 1021152791904 1027099605168 1049807589636 1060231850496 1083672350592 1106107267104 1106248857896 1130562019608 1167031762176 1173828120192 1191344923888 1198282872696 1224775521242 1236937158912 1244529965133 1264122590976 1264284409024 1292070879552 1318989022876 1340263039374 1361537055872 1369466140224 1399743452848 1422319960152 1444896467456 1474809689472 1507416026144 1531729187856 1565104160256 1574711384454 1597710496928 1625508525888 1659373286844 1695843029412 1722761172736 1750547643264 1787017385832 1797424309044 1825954853632 1837163281863 1855405738368 1896426613536 1935935501318 1938106319328 1966412919296 1978483534314 2042305583808 2054199210336 2099615179272 2167344701184 2212214534208 2212497715792 2261124039216 2308230790033 2334063524352 2347656240384 2382689847776 2396565745392 2449551042484 2473874317824 2489059930266 2528245181952 2528568818048 2584141759104 2637978045752 2680526078748 2723074111744 2738932280448 2799486905696 2844639920304 2903903251977 2949619378944 2967725301471 3014832052288 3063458375712 3149422768908 3195420993856 3251017051776 3318746573688 3391686058824 3445522345472 3501095286528 3574034771664 3594848618088 3651909707264 3674326563726 3710811476736 3792853227072 3871871002636 3876212638656 3956967068628 4084611167616 4108398420672 4199230358544 4286714324347 4334689402368 4424429068416 4424995431584 4522248078432 4616461580066 4695312480768 4765379695552 4793131490784 4899102084968 4978119860532 5057137636096 5168283518208 5275956091504 5361052157496 5446148223488 5477864560896 5511489845589 5598973811392 5689279840608 5807806503954 5899238757888 5935450602942 6029664104576 6126916751424 6298845537816 6390841987712 6502034103552 6637493147376 6783372117648 6924692370099 7002190573056 7148069543328 7189697236176 7348653127452 7421622953472 7585706454144 7743742005272 7752425277312 7913934137256 8169222335232 8216796841344 8398460717088 8573428648694 8711709755931 8848858136832 8849990863168 9044496156864 9232923160132 9530759391104 9586262981568 9798204169936 9956239721064 10114275272192 10336567036416 10551912183008 10722104314992 10955729121792 11022979691178 11197947622784 11378559681216 11615613007908 11870901205884 12059328209152 12253833502848 12597691075632 12781683975424 12860142973041 13004068207104 13274986294752 13566744235296 13849384740198 14296139086656 14379394472352 14697306254904 15171412908288 15487484010544 15504850554624 15827868274512 16338444670464 16433593682688 16796921434176 17146857297388 17423419511862 17697716273664 17699981726336 18088992313728 18465846320264 19061518782208 19172525963136 19596408339872 19912479442128 20774077110297 21103824366016 21444208629984 22045959382356 22395895245568 22757119362432 23231226015816 23741802411768 24118656418304 24507667005696 25195382151264 25563367950848 25720285946082 26549972589504 27133488470592 27698769480396 28592278173312 28758788944704 29394612509808 30007000270429 30342825816576 30974968021088 31009701109248 31655736549024 32867187365376 33593842868352 34293714594776 34846839023724 35399963452672 36177984627456 36931692640528 38123037564416 38345051926272 38580428919123 39192816679744 39824958884256 41548154220594 42207648732032 42888417259968 44091918764712 44791790491136 45514238724864 46462452031632 47483604823536 49015334011392 50390764302528 51440571892164 53099945179008 54266976941184 55397538960792 57184556346624 57517577889408 58789225019616 60014000540858 61949936042176 63311473098048 67187685736704 68587429189552 69693678047448 70799926905344 72355969254912 73863385281056 76690103852544 77160857838246 78385633359488 79649917768512 83096308441188 84415297464064 85776834519936 88183837529424 90021000811287 91028477449728 92924904063264 94967209647072 100781528605056 102881143784328 106199890358016 108533953882368 110795077921584 114369112693248 115035155778816 117578450039232 120028001081716 123899872084352 126622946196096 134375371473408 137174858379104 139387356094896 147726770562112 154321715676492 156771266718976 159299835537024 166192616882376 168830594928128 171553669039872 176367675058848 180042001622574 185849808126528 189934419294144 201563057210112 205762287568656 212399780716032 217067907764736 221590155843168 230070311557632 235156900078464 240056002163432 247799744168704 253245892392192 270063002433861 274349716758208 278774712189792 295453541124224 308643431352984 313542533437952 318599671074048 332385233764752 343107338079744 352735350117696 360084003245148 371699616253056 379868838588288 403126114420224 411524575137312 443180311686336 470313800156928 480112004326864 495599488337408 506491784784384 540126004867722 548699433516416 557549424379584 590907082248448 617286862705968 637199342148096 664770467529504 705470700235392 720168006490296 743399232506112 759737677176576 823049150274624 886360623372672 940627600313856 960224008653728 1080252009735444 1097398867032832 1115098848759168 1181814164496896 1234573725411936 1329540935059008 1410941400470784 1440336012980592 1486798465012224 1519475354353152 1646098300549248 1772721246745344 1920448017307456 2160504019470888 2194797734065664 2230197697518336 2469147450823872 2659081870118016 2821882800941568 2880672025961184 3292196601098496 3545442493490688 3840896034614912 4321008038941776 4460395395036672 4938294901647744 5318163740236032 5761344051922368 6584393202196992 7681792069229824 8642016077883552 9876589803295488 10636327480472064 11522688103844736 15363584138459648 17284032155767104 19753179606590976 23045376207689472 34568064311534208 46090752415378944 69136128623068416 138272257246136832
- Sum of all divisors σ(n): 518207422135603200
- Sum of proper divisors (its aliquot sum) s(n): 379935164889466368
- 138272257246136832 is an abundant number, because the sum of its proper divisors (379935164889466368) is greater than itself. Its abundance is 241662907643329536
Bases of 138272257246136832
- Binary: 1111010110011110111100010101001110111001010001010000000002
- Hexadecimal: 0x1EB3DE2A7728A00
- Base-36: 11THFA20GOW0
Squares and roots of 138272257246136832
- 138272257246136832 squared (1382722572461368322) is 19119217123941839643522988066996224
- 138272257246136832 cubed (1382722572461368323) is 2643657308506430437449194753516392704941822331322368
-
The
square root of 138272257246136832 is 371849777.7949273321 -
The
cube root of 138272257246136832 is 517104.5401477675
Scales and comparisons
How big is 138272257246136832?- 138,272,257,246,136,832 seconds is equal to 4,396,630,076 years, 13 weeks, 1 day, 5 hours, 7 minutes, 12 seconds.
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To count from 1 to 138,272,257,246,136,832 would take you about thirteen billion, one hundred eighty-nine million, eight hundred ninety thousand, two hundred twenty-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 138272257246136832 cubic inches would be around 43092 feet tall.
Recreational maths with 138272257246136832
- 138272257246136832 backwards is 238631642752272831
- 138272257246136832 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138272257246136832's digits is 72
- More coming soon!
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The information we have on file for 138272257246136832 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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