40135968838007308032
40,135,968,838,007,308,032 is an even composite number composed of seven prime numbers multiplied together.
What does the number 40135968838007308032 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
40135968838007308032 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 40135968838007308032:
28 × 3 × 132 × 521 × 751 × 1733 × 456047
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 521 × 751 × 1733 × 456047)See below for interesting mathematical facts about the number 40135968838007308032 from the Numbermatics database.
Names of 40135968838007308032
- Cardinal: 40135968838007308032 can be written as Forty quintillion, one hundred thirty-five quadrillion, nine hundred sixty-eight trillion, eight hundred thirty-eight billion, seven million, three hundred eight thousand and thirty-two.
Scientific notation
- Scientific notation: 4.0135968838007308032 × 1019
Factors of 40135968838007308032
Divisors of 40135968838007308032
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 521 624 676 751 768 832 1014 1042 1248 1352 1502 1563 1664 1733 2028 2084 2253 2496 2704 3004 3126 3328 3466 4056 4168 4506 4992 5199 5408 6008 6252 6773 6932 8112 8336 9012 9763 9984 10398 10816 12016 12504 13546 13864 16224 16672 18024 19526 20319 20796 21632 22529 24032 25008 27092 27728 29289 32448 33344 36048 39052 40638 41592 43264 45058 48064 50016 54184 55456 58578 64896 66688 67587 72096 78104 81276 83184 88049 90116 96128 100032 108368 110912 117156 126919 129792 133376 135174 144192 156208 162552 166368 176098 180232 192256 200064 216736 221824 234312 253838 264147 270348 288384 292877 312416 325104 332736 352196 360464 380757 391271 400128 433472 443648 456047 468624 507676 528294 540696 576768 585754 624832 650208 665472 704392 720928 761514 782542 866944 878631 902893 912094 937248 1015352 1056588 1081392 1171508 1173813 1249664 1300416 1301483 1330944 1368141 1408784 1441856 1523028 1565084 1733888 1757262 1805786 1824188 1874496 2030704 2113176 2162784 2343016 2347626 2499328 2600832 2602966 2708679 2736282 2817568 2883712 3046056 3130168 3514524 3611572 3648376 3748992 3904449 4061408 4226352 4325568 4686032 4695252 5086523 5201664 5205932 5417358 5472564 5635136 5767424 5928611 6092112 6260336 7029048 7223144 7296752 7497984 7808898 8122816 8452704 8651136 9372064 9390504 10173046 10411864 10834716 10945128 11270272 11737609 11857222 12184224 12520672 14058096 14446288 14593504 15259569 15617796 16245632 16905408 16919279 17302272 17785833 18744128 18781008 20346092 20823728 21669432 21890256 22540544 23475218 23714444 24368448 25041344 28116192 28892576 29187008 30519138 31235592 32491264 33810816 33838558 35212827 35571666 37488256 37562016 40692184 41647456 43338864 43780512 46950436 47428888 48736896 50082688 50757837 56232384 57785152 58374016 61038276 62471184 66124799 67621632 67677116 70425654 71143332 74976512 75124032 77071943 81384368 83294912 86677728 87561024 93900872 94857776 97473792 100165376 101515674 112464768 115570304 116748032 122076552 124942368 132249598 135354232 140851308 142286664 150248064 152588917 154143886 162768736 166589824 173355456 175122048 187801744 189715552 198374397 203031348 219950627 224929536 231140608 231215829 237600487 244153104 249884736 264499196 270708464 281702616 284573328 300496128 305177834 308287772 325537472 333179648 342491297 346710912 350244096 375603488 379431104 396748794 406062696 439901254 457766751 462431658 475200974 488306208 499769472 528998392 541416928 563405232 569146656 610355668 616575544 651074944 659851881 678072643 684982594 693421824 712801461 751206976 758862208 790329451 793497588 812125392 879802508 915533502 924863316 950401948 976612416 999538944 1027473891 1057996784 1082833856 1126810464 1138293312 1220711336 1233151088 1302149888 1319703762 1356145286 1369965188 1425602922 1502413952 1517724416 1580658902 1586995176 1624250784 1759605016 1831067004 1849726632 1900803896 1953224832 2034217929 2054947782 2115993568 2165667712 2253620928 2276586624 2370988353 2441422672 2466302176 2639407524 2712290572 2739930376 2851205844 3004827904 3088806331 3161317804 3173990352 3248501568 3519210032 3662134008 3699453264 3801607792 3906449664 4068435858 4109895564 4231987136 4331335424 4452386861 4507241856 4553173248 4741976706 4882845344 4932604352 5278815048 5424581144 5479860752 5702411688 6177612662 6322635608 6347980704 6497003136 7038420064 7324268016 7398906528 7603215584 8136871716 8219791128 8463974272 8814944359 8904773722 9014483712 9266418993 9483953412 9765690688 9865208704 10274282863 10557630096 10849162288 10959721504 11404823376 12355225324 12645271216 12695961408 12994006272 13357160583 14076840128 14648536032 14797813056 15206431168 16273743432 16439582256 16927948544 17629888718 17809547444 18532837986 18967906824 19531381376 19730417408 20548565726 21115260192 21698324576 21919443008 22809646752 24710450648 25290542432 25391922816 26444833077 26714321166 28153680256 29297072064 29595626112 30412862336 30822848589 32547486864 32879164512 35259777436 35619094888 37065675972 37935813648 39062762752 40154482303 41097131452 42230520384 43396649152 43838886016 45619293504 49420901296 50581084864 50783845632 52889666154 53428642332 56307360512 57881029193 58594144128 59191252224 60825724672 61645697178 65094973728 65758329024 70519554872 71238189776 74131351944 75871627296 80308964606 82194262904 84461040768 86793298304 87677772032 91238587008 98841802592 101162169728 105779332308 106857284664 114594276667 115762058386 117188288256 120463446909 123291394356 130189947456 131516658048 133565677219 141039109744 142476379552 148262703888 151743254592 160617929212 164388525808 168922081536 173586596608 173643087579 178437965737 182477174016 197683605184 202324339456 211558664616 213714569328 229188553334 231524116772 240926893818 246582788712 260379894912 263033316096 267131354438 282078219488 284952759104 296525407776 303486509184 321235858424 328777051616 343782830001 347286175158 356875931474 395367210368 400697031657 411761643971 423117329232 427429138656 458377106668 463048233544 481853787636 493165577424 520759789824 534262708876 535313897211 564156438976 569905518208 593050815552 593537417701 606973018368 642471716848 657554103232 687565660002 694572350316 713751862948 790734420736 801394063314 823523287942 846234658464 854858277312 916754213336 926096467088 963707575272 986331154848 1068525417752 1070627794422 1128312877952 1139811036416 1186101631104 1187074835402 1235284931913 1284943433696 1315108206464 1375131320004 1389144700632 1427503725896 1602788126628 1647046575884 1692469316928 1709716554624 1780612253103 1833508426672 1852192934176 1927415150544 1972662309696 2137050835504 2141255588844 2256625755904 2319693554581 2372203262208 2374149670804 2470569863826 2569886867392 2630216412928 2750262640008 2778289401264 2855007451792 3205576253256 3294093151768 3384938633856 3419433109248 3561224506206 3667016853344 3704385868352 3854830301088 3945324619392 4274101671008 4282511177688 4639387109162 4748299341608 4941139727652 5139773734784 5352901371623 5500525280016 5556578802528 5710014903584 6411152506512 6588186303536 6769877267712 6959080663743 7122449012412 7334033706688 7408771736704 7709660602176 7715986430113 7890649238784 8548203342016 8565022355376 9278774218324 9496598683216 9882279455304 10279547469568 10705802743246 11001050560032 11113157605056 11420029807168 12822305013024 13176372607072 13918161327486 14244898024824 14668067413376 14817543473408 15419321204352 15431972860226 16058704114869 17096406684032 17130044710752 18557548436648 18993197366432 19764558910608 21411605486492 22002101120064 22226315210112 22840059614336 23147959290339 25644610026048 26352745214144 27836322654972 28489796049648 29336134826752 30156016209553 30838642408704 30863945720452 32117408229738 34192813368064 34260089421504 37115096873296 37986394732864 39529117821216 42823210972984 44004202240128 44452630420224 45680119228672 46295918580678 51289220052096 52705490428288 55672645309944 56979592099296 60312032419106 61727891440904 64234816459476 68520178843008 69587717831099 74230193746592 75972789465728 79058235642432 85646421945968 88008404480256 90468048628659 92591837161356 100307823591469 102578440104192 105410980856576 111345290619888 113959184198592 120624064838212 123455782881808 128469632918952 137040357686016 139175435662198 148460387493184 151945578931456 158116471284864 171292843891936 180936097257318 185183674322712 200615647182938 208763153493297 222690581239776 227918368397184 241248129676424 246911565763616 256939265837904 278350871324396 296920774986368 300923470774407 309232994622221 316232942569728 342585687783872 361872194514636 370367348645424 401231294365876 417526306986594 445381162479552 455836736794368 482496259352848 493823131527232 513878531675808 556701742648792 593841549972736 601846941548814 618465989244442 685171375567744 723744389029272 740734697290848 802462588731752 835052613973188 890762324959104 927698983866663 964992518705696 987646263054464 1027757063351616 1113403485297584 1203693883097628 1236931978488884 1370342751135488 1447488778058544 1481469394581696 1604925177463504 1670105227946376 1781524649918208 1855397967733326 1929985037411392 1975292526108928 2055514126703232 2226806970595168 2407387766195256 2473863956977768 2894977556117088 2962938789163392 3209850354927008 3340210455892752 3710795935466652 3859970074822784 4020028930088873 4111028253406464 4453613941190336 4814775532390512 4947727913955536 5789955112234176 5925877578326784 6419700709854016 6680420911785504 7421591870933304 7719940149645568 8040057860177746 8907227882380672 9629551064781024 9895455827911072 11579910224468352 12060086790266619 12839401419708032 13360841823571008 14843183741866608 16080115720355492 17814455764761344 19259102129562048 19790911655822144 23159820448936704 24120173580533238 25678802839416064 26721683647142016 29686367483733216 32160231440710984 38518204259124096 39581823311644288 48240347161066476 52260376091155349 53443367294284032 59372734967466432 64320462881421968 77036408518248192 79163646623288576 96480694322132952 104520752182310698 118745469934932864 128640925762843936 156781128273466047 192961388644265904 209041504364621396 237490939869865728 257281851525687872 313562256546932094 385922777288531808 418083008729242792 514563703051375744 627124513093864188 771845554577063616 836166017458485584 1029127406102751488 1254249026187728376 1543691109154127232 1672332034916971168 2508498052375456752 3087382218308254464 3344664069833942336 5016996104750913504 6689328139667884672 10033992209501827008 13378656279335769344 20067984419003654016 40135968838007308032
- Sum of all divisors σ(n): 116112766692856098816
- Sum of proper divisors (its aliquot sum) s(n): 75976797854848790784
- 40135968838007308032 is an abundant number, because the sum of its proper divisors (75976797854848790784) is greater than itself. Its abundance is 35840829016841482752
Bases of 40135968838007308032
- Binary: 1000101100111111111001101100000010001110011001001010111111000000002
- Hexadecimal: 0x22CFF9B023992BF00
- Base-36: 8GXMTJ9RZA0AO
Squares and roots of 40135968838007308032
- 40135968838007308032 squared (401359688380073080322) is 1610895994565493700133238267039331713024
- 40135968838007308032 cubed (401359688380073080323) is 64654871439151444978109923987976112263795570727529394208768
-
The
square root of 40135968838007308032 is 6335295481.5073391359 -
The
cube root of 40135968838007308032 is 3423822.5682757733
Scales and comparisons
How big is 40135968838007308032?- 40,135,968,838,007,308,032 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 40,135,968,838,007,308,032 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 40135968838007308032 cubic inches would be around 285318.5 feet tall.
Recreational maths with 40135968838007308032
- 40135968838007308032 backwards is 23080370083886953104
- 40135968838007308032 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 40135968838007308032's digits is 78
- More coming soon!
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The information we have on file for 40135968838007308032 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 40135968838007308032, math, Factors of 40135968838007308032, curriculum, school, college, exams, university, Prime factorization of 40135968838007308032, STEM, science, technology, engineering, physics, economics, calculator, forty quintillion, one hundred thirty-five quadrillion, nine hundred sixty-eight trillion, eight hundred thirty-eight billion, seven million, three hundred eight thousand and thirty-two.