138009971029126828032
138,009,971,029,126,828,032 is an even composite number composed of four prime numbers multiplied together.
138009971029126828032 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, four hundred fifty-six divisors.
Prime factorization of 138009971029126828032:
212 × 37 × 31 × 896
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 31 × 89 × 89 × 89 × 89 × 89 × 89)See below for interesting mathematical facts about the number 138009971029126828032 from the Numbermatics database.
Names of 138009971029126828032
- Cardinal: 138009971029126828032 can be written as One hundred thirty-eight quintillion, nine quadrillion, nine hundred seventy-one trillion, twenty-nine billion, one hundred twenty-six million, eight hundred twenty-eight thousand and thirty-two.
Scientific notation
- Scientific notation: 1.38009971029126828032 × 1020
Factors of 138009971029126828032
Divisors of 138009971029126828032
- Number of divisors d(n): 1456
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 89 93 96 108 124 128 144 162 178 186 192 216 243 248 256 267 279 288 324 356 372 384 432 486 496 512 534 558 576 648 712 729 744 768 801 837 864 972 992 1024 1068 1116 1152 1296 1424 1458 1488 1536 1602 1674 1728 1944 1984 2048 2136 2187 2232 2304 2403 2511 2592 2759 2848 2916 2976 3072 3204 3348 3456 3888 3968 4096 4272 4374 4464 4608 4806 5022 5184 5518 5696 5832 5952 6144 6408 6696 6912 7209 7533 7776 7921 7936 8277 8544 8748 8928 9216 9612 10044 10368 11036 11392 11664 11904 12288 12816 13392 13824 14418 15066 15552 15842 15872 16554 17088 17496 17856 18432 19224 20088 20736 21627 22072 22599 22784 23328 23763 23808 24831 25632 26784 27648 28836 30132 31104 31684 31744 33108 34176 34992 35712 36864 38448 40176 41472 43254 44144 45198 45568 46656 47526 47616 49662 51264 53568 55296 57672 60264 62208 63368 63488 64881 66216 67797 68352 69984 71289 71424 74493 76896 80352 82944 86508 88288 90396 91136 93312 95052 95232 99324 102528 107136 110592 115344 120528 124416 126736 126976 129762 132432 135594 136704 139968 142578 142848 148986 153792 160704 165888 173016 176576 180792 182272 186624 190104 190464 194643 198648 205056 213867 214272 223479 230688 241056 245551 248832 253472 259524 264864 271188 273408 279936 285156 285696 297972 307584 321408 331776 346032 353152 361584 364544 373248 380208 380928 389286 397296 410112 427734 428544 446958 461376 482112 491102 497664 506944 519048 529728 542376 546816 559872 570312 571392 595944 615168 641601 642816 670437 692064 704969 706304 723168 736653 746496 760416 778572 794592 820224 855468 857088 893916 922752 964224 982204 995328 1013888 1038096 1059456 1084752 1093632 1119744 1140624 1142784 1191888 1230336 1283202 1285632 1340874 1384128 1409938 1412608 1446336 1473306 1492992 1520832 1557144 1589184 1640448 1710936 1714176 1787832 1845504 1924803 1928448 1964408 2011311 2027776 2076192 2114907 2118912 2169504 2209959 2239488 2281248 2383776 2460672 2566404 2571264 2681748 2768256 2819876 2825216 2892672 2946612 2985984 3041664 3114288 3178368 3280896 3421872 3428352 3575664 3691008 3849606 3856896 3928816 4022622 4055552 4152384 4229814 4237824 4339008 4419918 4478976 4562496 4767552 4921344 5132808 5142528 5363496 5536512 5639752 5650432 5774409 5785344 5893224 6033933 6083328 6228576 6344721 6356736 6629877 6843744 7151328 7382016 7699212 7713792 7857632 8045244 8111104 8304768 8459628 8475648 8678016 8839836 8957952 9124992 9535104 9842688 10265616 10285056 10726992 11073024 11279504 11300864 11548818 11570688 11786448 12067866 12166656 12457152 12689442 12713472 13259754 13687488 14302656 14764032 15398424 15427584 15715264 16090488 16222208 16609536 16919256 16951296 17323227 17356032 17679672 18249984 19034163 19070208 19889631 20531232 21453984 21854039 22146048 22559008 23097636 23141376 23572896 24135732 24333312 24914304 25378884 25426944 26519508 27374976 28605312 29528064 30796848 30855168 31430528 32180976 32444416 33219072 33838512 33902592 34646454 34712064 35359344 36499968 38068326 38140416 39779262 41062464 42907968 43708078 44292096 45118016 46195272 46282752 47145792 48271464 48666624 49828608 50757768 50853888 53039016 54749952 57102489 57210624 59668893 61593696 62742241 62861056 64361952 65562117 66438144 67677024 69292908 69424128 70718688 72999936 76136652 76280832 79558524 82124928 85815936 87416156 88584192 90236032 92390544 92565504 94291584 96542928 97333248 99657216 101515536 101707776 106078032 109499904 114204978 114421248 119337786 123187392 125484482 125722112 128723904 131124234 132876288 135354048 138585816 138848256 141437376 145999872 152273304 152561664 159117048 164249856 171307467 171631872 174832312 179006679 180472064 184781088 188226723 188583168 193085856 196686351 199314432 203031072 212156064 218999808 228409956 228842496 238675572 246374784 250968964 251444224 257447808 262248468 265752576 270708096 277171632 277696512 282874752 291999744 304546608 305123328 318234096 328499712 342614934 343263744 349664624 358013358 360944128 369562176 376453446 377166336 386171712 393372702 398628864 406062144 424312128 437999616 456819912 457684992 477351144 492749568 501937928 502888448 513922401 514895616 524496936 537020037 541416192 554343264 564680169 565749504 590059053 609093216 636468192 656999424 685229868 686527488 699329248 716026716 721888256 739124352 752906892 754332672 772343424 786745404 797257728 812124288 848624256 875999232 913639824 915369984 954702288 985499136 1003875856 1005776896 1027844802 1029791232 1048993872 1074040074 1082832384 1108686528 1129360338 1131499008 1180118106 1218186432 1272936384 1313998848 1370459736 1373054976 1398658496 1432053432 1443776512 1478248704 1505813784 1508665344 1541767203 1544686848 1573490808 1624248576 1694040507 1697248512 1770177159 1827279648 1909404576 1945009471 1970998272 2007751712 2055689604 2059582464 2097987744 2148080148 2165664768 2217373056 2258720676 2262998016 2360236212 2436372864 2545872768 2627997696 2740919472 2746109952 2797316992 2864106864 2887553024 2956497408 3011627568 3017330688 3083534406 3089373696 3146981616 3248497152 3388081014 3394497024 3540354318 3654559296 3818809152 3890018942 3941996544 4015503424 4111379208 4119164928 4195975488 4296160296 4331329536 4434746112 4517441352 4525996032 4720472424 4872745728 5082121521 5091745536 5310531477 5481838944 5584059449 5594633984 5728213728 5835028413 5912994816 6023255136 6167068812 6178747392 6293963232 6496994304 6776162028 6788994048 7080708636 7309118592 7637618304 7780037884 7883993088 8031006848 8222758416 8238329856 8391950976 8592320592 8662659072 8869492224 9034882704 9051992064 9440944848 9745491456 10164243042 10183491072 10621062954 10963677888 11168118898 11189267968 11456427456 11670056826 11825989632 12046510272 12334137624 12357494784 12587926464 12993988608 13552324056 13577988096 14161417272 14618237184 15246364563 15275236608 15560075768 15931594431 16062013696 16445516832 16752178347 16783901952 17184641184 17505085239 17738984448 18069765408 18881889696 19490982912 20328486084 20366982144 21242125908 21927355776 22336237796 22378535936 22912854912 23340113652 23651979264 24093020544 24668275248 24714989568 25175852928 25987977216 27104648112 27155976192 28322834544 29236474368 30492729126 30550473216 31120151536 31863188862 32124027392 32891033664 33504356694 33567803904 34369282368 35010170478 35477968896 36139530816 37763779392 38981965824 40656972168 40733964288 42484251816 43854711552 44672475592 44757071872 45739093689 45825709824 46680227304 47794783293 48186041088 49336550496 50256535041 50351705856 52515255717 54209296224 56645669088 58472948736 60985458252 61100946432 62240303072 63726377724 64248054784 65782067328 67008713388 67135607808 68738564736 70020340956 70955937792 72279061632 75527558784 77963931648 81313944336 81467928576 84968503632 87709423104 89344951184 89514143744 91478187378 91651419648 93360454608 95589566586 96372082176 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526256538624 536069707104 548869124268 549908517888 560162727648 578232493056 603078420492 604220470272 630183068604 650511554688 679748029056 692423371676 701675384832 714759609472 731825499024 733211357184 746883636864 764716532688 770976657408 789384807936 804104560656 805627293696 840244091472 867348739584 904617630738 906330705408 945274602906 975767332032 993962581922 995844849152 1019622043584 1038635057514 1052513077248 1072139414208 1097738248536 1099817035776 1120325455296 1156464986112 1206156840984 1208440940544 1260366137208 1301023109376 1356926446107 1359496058112 1384846743352 1417911904359 1429519218944 1463650998048 1490943872883 1493767273728 1529433065376 1557952586271 1578769615872 1608209121312 1680488182944 1734697479168 1809235261476 1812661410816 1890549205812 1951534664064 1987925163844 1991689698304 2039244087168 2077270115028 2105026154496 2144278828416 2195476497072 2199634071552 2240650910592 2312929972224 2412313681968 2416881881088 2520732274416 2602046218752 2713852892214 2718992116224 2769693486704 2835823808718 2859038437888 2927301996096 2981887745766 2987534547456 3058866130752 3115905172542 3157539231744 3216418242624 3360976365888 3469394958336 3618470522952 3625322821632 3781098411624 3903069328128 3975850327688 3983379396608 4070779338321 4078488174336 4154540230056 4253735713077 4288557656832 4390952994144 4472831618649 4481301821184 4673857758813 4824627363936 5041464548832 5204092437504 5427705784428 5437984232448 5539386973408 5671647617436 5718076875776 5854603992192 5963775491532 5975069094912 6117732261504 6231810345084 6315078463488 6432836485248 6721952731776 6938789916672 7236941045904 7250645643264 7562196823248 7806138656256 7951700655376 7966758793216 8141558676642 8156976348672 8309080460112 8507471426154 8577115313664 8781905988288 8945663237298 8962603642368 9347715517626 9649254727872 10082929097664 10408184875008 10855411568856 10875968464896 11078773946816 11343295234872 11436153751552 11709207984384 11927550983064 11950138189824 12212338014963 12235464523008 12463620690168 12865672970496 13418494855947 13443905463552 14021573276439 14473882091808 15124393646496 15406420019791 15612277312512 15903401310752 16283117353284 16313952697344 16618160920224 17014942852308 17154230627328 17563811976576 17891326474596 17925207284736 18695431035252 19298509455744 20165858195328 20816369750016 21710823137712 21751936929792 22157547893632 22686590469744 22872307503104 23418415968768 23855101966128 23900276379648 24424676029926 24470929046016 24927241380336 25731345940992 26836989711894 26887810927104 28043146552878 28947764183616 30248787292992 30812840039582 31224554625024 31806802621504 32566234706568 32627905394688 33236321840448 34029885704616 34308461254656 35127623953152 35782652949192 35850414569472 37390862070504 38597018911488 40255484567841 40331716390656 42064719829317 43421646275424 44315095787264 45373180939488 46219260059373 46836831937536 47710203932256 48849352059852 48941858092032 49854482760672 51462691881984 53673979423788 53775621854208 56086293105756 57895528367232 60497574585984 61625680079164 62449109250048 63613605243008 65132469413136 65255810789376 66472643680896 68059771409232 68616922509312 70255247906304 71565305898384 71700829138944 74781724141008 77194037822976 80510969135682 80663432781312 84129439658634 86843292550848 88630191574528 90746361878976 92438520118746 93673663875072 95420407864512 97698704119704 97883716184064 99708965521344 102925383763968 107347958847576 107551243708416 112172586211512 115791056734464 120766453703523 120995149171968 123251360158328 126194159487951 127227210486016 130264938826272 132945287361792 136119542818464 138657780178119 140510495812608 143130611796768 149563448282016 154388075645952 161021938271364 161326865562624 168258879317268 173686585101696 177260383149056 181492723757952 184877040237492 187347327750144 190840815729024 195397408239408 195767432368128 199417931042688 205850767527936 214695917695152 215102487416832 224345172423024 231582113468928 241532907407046 241990298343936 246502720316656 252388318975902 254454420972032 260529877652544 265890574723584 272239085636928 277315560356238 281020991625216 286261223593536 299126896564032 308776151291904 322043876542728 322653731125248 336517758634536 347373170203392 354520766298112 362299361110569 362985447515904 369754080474984 378582478463853 381681631458048 390794816478816 398835862085376 415973340534357 429391835390304 448690344846048 463164226937856 483065814814092 483980596687872 493005440633312 504776637951804 508908841944064 521059755305088 531781149447168 544478171273856 554631120712476 562041983250432 572522447187072 598253793128064 617552302583808 644087753085456 645307462250496 673035517269072 694746340406784 709041532596224 724598722221138 725970895031808 739508160949968 757164956927706 763363262916096 781589632957632 797671724170752 831946681068714 858783670780608 897380689692096 926328453875712 966131629628184 967961193375744 986010881266624 1009553275903608 1017817683888128 1042119510610176 1063562298894336 1086898083331707 1088956342547712 1109262241424952 1145044894374144 1196507586256128 1247920021603071 1288175506170912 1346071034538144 1389492680813568 1449197444442276 1451941790063616 1479016321899936 1514329913855412 1526726525832192 1563179265915264 1595343448341504 1663893362137428 1717567341561216 1794761379384192 1852656907751424 1932263259256368 1935922386751488 1972021762533248 2019106551807216 2035635367776256 2084239021220352 2127124597788672 2173796166663414 2177912685095424 2218524482849904 2290089788748288 2393015172512256 2495840043206142 2576351012341824 2692142069076288 2778985361627136 2898394888884552 2903883580127232 2958032643799872 3028659827710824 3053453051664384 3126358531830528 3190686896683008 3327786724274856 3435134683122432 3589522758768384 3743760064809213 3864526518512736 3944043525066496 4038213103614432 4168478042440704 4347592333326828 4355825370190848 4437048965699808 4580179577496576 4786030345024512 4991680086412284 5152702024683648 5384284138152576 5557970723254272 5796789777769104 5807767160254464 5916065287599744 6057319655421648 6106906103328768 6252717063661056 6381373793366016 6655573448549712 6870269366244864 7179045517536768 7487520129618426 7729053037025472 7888087050132992 8076426207228864 8336956084881408 8695184666653656 8711650740381696 8874097931399616 9160359154993152 9572060690049024 9983360172824568 10305404049367296 10768568276305152 11231280194427639 11593579555538208 11832130575199488 12114639310843296 12505434127322112 13311146897099424 13740538732489728 14358091035073536 14975040259236852 15458106074050944 15776174100265984 16152852414457728 16673912169762816 17390369333307312 17423301480763392 17748195862799232 18320718309986304 19144121380098048 19966720345649136 20610808098734592 21537136552610304 22462560388855278 23187159111076416 23664261150398976 24229278621686592 25010868254644224 26622293794198848 27481077464979456 28716182070147072 29950080518473704 30916212148101888 31552348200531968 32305704828915456 33693840583282917 34780738666614624 35496391725598464 39933440691298272 41221616197469184 43074273105220608 44925120777710556 46374318222152832 47328522300797952 48458557243373184 50021736509288448 53244587588397696 54962154929958912 57432364140294144 59900161036947408 61832424296203776 63104696401063936 64611409657830912 67387681166565834 69561477333229248 70992783451196928 79866881382596544 82443232394938368 86148546210441216 89850241555421112 92748636444305664 94657044601595904 96917114486746368 106489175176795392 119800322073894816 123664848592407552 129222819315661824 134775362333131668 139122954666458496 141985566902393856 159733762765193088 164886464789876736 172297092420882432 179700483110842224 185497272888611328 189314089203191808 193834228973492736 212978350353590784 239600644147789632 247329697184815104 258445638631323648 269550724666263336 278245909332916992 283971133804787712 319467525530386176 359400966221684448 370994545777222656 387668457946985472 425956700707181568 479201288295579264 494659394369630208 516891277262647296 539101449332526672 556491818665833984 567942267609575424 638935051060772352 718801932443368896 741989091554445312 775336915893970944 851913401414363136 958402576591158528 1078202898665053344 1112983637331667968 1277870102121544704 1437603864886737792 1483978183108890624 1550673831787941888 1703826802828726272 1916805153182317056 2156405797330106688 2225967274663335936 2555740204243089408 2875207729773475584 3833610306364634112 4312811594660213376 4451934549326671872 5111480408486178816 5750415459546951168 7667220612729268224 8625623189320426752 11500830919093902336 15334441225458536448 17251246378640853504 23001661838187804672 34502492757281707008 46003323676375609344 69004985514563414016 138009971029126828032
- Sum of all divisors σ(n): 432123736125092764160
- Sum of proper divisors (its aliquot sum) s(n): 294113765095965936128
- 138009971029126828032 is an abundant number, because the sum of its proper divisors (294113765095965936128) is greater than itself. Its abundance is 156103794066839108096
Bases of 138009971029126828032
- Binary: 11101111011010001011110100101110001010111010000111001010000000000002
- Hexadecimal: 0x77B45E9715D0E5000
- Base-36: T4J9FPZ8LC000
Squares and roots of 138009971029126828032
- 138009971029126828032 squared (1380099710291268280322) is 19046752103460426384884986255205700993024
- 138009971029126828032 cubed (1380099710291268280323) is 2628641705997533918111237902846277831835973559913821679648768
-
The
square root of 138009971029126828032 is 11747764511.9880926237 -
The
cube root of 138009971029126828032 is 5167773.7101903379 - Being both a perfect square and a perfect cube, 138009971029126828032 is also a
perfect sixth number .
Scales and comparisons
How big is 138009971029126828032?- 138,009,971,029,126,828,032 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,009,971,029,126,828,032 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 138009971029126828032 cubic inches would be around 430647.8 feet tall.
Recreational maths with 138009971029126828032
- 138009971029126828032 backwards is 230828621920179900831
- 138009971029126828032 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138009971029126828032's digits is 81
- More coming soon!
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MLA style:
"Number 138009971029126828032 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 138009971029126828032 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138009971029126828032/
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Numbermatics. 2024. "Number 138009971029126828032 - Facts about the integer". https://numbermatics.com/n/138009971029126828032/
The information we have on file for 138009971029126828032 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!
Keywords: Divisors of 138009971029126828032, math, Factors of 138009971029126828032, curriculum, school, college, exams, university, Prime factorization of 138009971029126828032, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, nine quadrillion, nine hundred seventy-one trillion, twenty-nine billion, one hundred twenty-six million, eight hundred twenty-eight thousand and thirty-two.