138921274757809704966400
138,921,274,757,809,704,966,400 is an even composite number composed of four prime numbers multiplied together.
What does the number 138921274757809704966400 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1755 divisors.
138921274757809704966400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, seven hundred fifty-five divisors.
Prime factorization of 138921274757809704966400:
28 × 52 × 712 × 1994
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 199 × 199 × 199 × 199)See below for interesting mathematical facts about the number 138921274757809704966400 from the Numbermatics database.
Names of 138921274757809704966400
- Cardinal: 138921274757809704966400 can be written as One hundred thirty-eight sextillion, nine hundred twenty-one quintillion, two hundred seventy-four quadrillion, seven hundred fifty-seven trillion, eight hundred nine billion, seven hundred four million, nine hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.389212747578097049664 × 1023
Factors of 138921274757809704966400
Divisors of 138921274757809704966400
- Number of divisors d(n): 1755
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 128 140 160 175 196 199 200 224 245 256 280 320 343 350 392 398 400 448 490 560 640 686 700 784 796 800 896 980 995 1120 1225 1280 1372 1393 1400 1568 1592 1600 1715 1792 1960 1990 2240 2401 2450 2744 2786 2800 3136 3184 3200 3430 3920 3980 4480 4802 4900 4975 5488 5572 5600 6272 6368 6400 6860 6965 7840 7960 8575 8960 9604 9751 9800 9950 10976 11144 11200 12005 12544 12736 13720 13930 15680 15920 16807 17150 19208 19502 19600 19900 21952 22288 22400 24010 25472 27440 27860 31360 31840 33614 34300 34825 38416 39004 39200 39601 39800 43904 44576 44800 48020 48755 50944 54880 55720 60025 62720 63680 67228 68257 68600 69650 76832 78008 78400 79202 79600 84035 87808 89152 96040 97510 109760 111440 117649 120050 127360 134456 136514 137200 139300 153664 156016 156800 158404 159200 168070 178304 192080 195020 198005 219520 222880 235298 240100 243775 254720 268912 273028 274400 277207 278600 307328 312032 313600 316808 318400 336140 341285 356608 384160 390040 396010 420175 439040 445760 470596 477799 480200 487550 537824 546056 548800 554414 557200 588245 614656 624064 633616 636800 672280 682570 768320 780080 792020 823543 840350 891520 941192 955598 960400 975100 990025 1075648 1092112 1097600 1108828 1114400 1176490 1248128 1267232 1273600 1344560 1365140 1386035 1536640 1560160 1584040 1647086 1680700 1706425 1783040 1882384 1911196 1920800 1940449 1950200 1980050 2151296 2184224 2195200 2217656 2228800 2352980 2388995 2496256 2534464 2689120 2730280 2772070 2941225 3073280 3120320 3168080 3294172 3344593 3361400 3412850 3764768 3822392 3841600 3880898 3900400 3960100 4117715 4302592 4368448 4435312 4457600 4705960 4777990 5068928 5378240 5460560 5544140 5764801 5882450 6240640 6336160 6588344 6689186 6722800 6825700 6930175 7529536 7644784 7683200 7761796 7800800 7880599 7920200 8235430 8736896 8870624 8915200 9411920 9555980 9702245 10137856 10756480 10921120 11088280 11529602 11764900 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356171866367064160 361623476566560040 389562978838976425 407053561562359040 413283973218925760 436310536299653596 438503051557440800 442988758794036049 445214832958830200 452029345708200050 498640612913889824 501146344637075200 506272867193184056 508816951952948800 516604966523657200 545388170374566995 569874986187302656 578597562506496064 590405676027036800 623300766142362280 632841083991480070 701604882491905280 712343732734128320 723246953133120080 779125957677952850 826567946437851520 872621072599307192 877006103114881600 885977517588072098 890429665917660400 904058691416400100 997281225827779648 1012545734386368112 1017633903905897600 1033209933047314400 1090776340749133990 1157195125012992128 1180811352054073600 1246601532284724560 1265682167982960140 1424687465468256640 1446493906266240160 1558251915355905700 1582102709978700175 1653135892875703040 1745242145198614384 1754012206229763200 1771955035176144196 1780859331835320800 1808117382832800200 1994562451655559296 2025091468772736224 2035267807811795200 2066419866094628800 2181552681498267980 2214943793970180245 2314390250025984256 2493203064569449120 2531364335965920280 2726940851872834975 2849374930936513280 2892987812532480320 3100921311558252343 3116503830711811400 3164205419957400350 3490484290397228768 3508024412459526400 3543910070352288392 3561718663670641600 3616234765665600400 3989124903311118592 4050182937545472448 4132839732189257600 4363105362996535960 4429887587940360490 4986406129138898240 5062728671931840560 5453881703745669950 5785975625064960640 6201842623116504686 6233007661423622800 6328410839914800700 6980968580794457536 7087820140704576784 7123437327341283200 7232469531331200800 8100365875090944896 8265679464378515200 8726210725993071920 8859775175880720980 9972812258277796480 10125457343863681120 10907763407491339900 11074718969850901225 11571951250129921280 12403685246233009372 12466015322847245600 12656821679829601400 13961937161588915072 14175640281409153568 14246874654682566400 14464939062662401600 15504606557791261715 16200731750181889792 17452421451986143840 17719550351761441960 19945624516555592960 20250914687727362240 21706449180907766401 21815526814982679800 22149437939701802450 24807370492466018744 24932030645694491200 25313643359659202800 27923874323177830144 28351280562818307136 28929878125324803200 31009213115582523430 34904842903972287680 35439100703522883920 40501829375454724480 43412898361815532802 43631053629965359600 44298875879403604900 49614740984932037488 49864061291388982400 50627286719318405600 56702561125636614272 57859756250649606400 62018426231165046860 69809685807944575360 70878201407045767840 77523032788956308575 81003658750909448960 86825796723631065604 87262107259930719200 88597751758807209800 99229481969864074976 99728122582777964800 101254573438636811200 108532245904538832005 113405122251273228544 124036852462330093720 139619371615889150720 141756402814091535680 155046065577912617150 173651593447262131208 174524214519861438400 177195503517614419600 198458963939728149952 202509146877273622400 217064491809077664010 248073704924660187440 283512805628183071360 310092131155825234300 347303186894524262416 349048429039722876800 354391007035228839200 396917927879456299904 405018293754547244800 434128983618155328020 496147409849320374880 542661229522694160025 567025611256366142720 620184262311650468600 694606373789048524832 698096858079445753600 708782014070457678400 793835855758912599808 868257967236310656040 992294819698640749760 1085322459045388320050 1240368524623300937200 1389212747578097049664 1417564028140915356800 1736515934472621312080 1984589639397281499520 2170644918090776640100 2480737049246601874400 2778425495156194099328 2835128056281830713600 3473031868945242624160 3969179278794562999040 4341289836181553280200 4961474098493203748800 5556850990312388198656 6946063737890485248320 8682579672363106560400 9922948196986407497600 13892127475780970496640 17365159344726213120800 19845896393972814995200 27784254951561940993280 34730318689452426241600 69460637378904852483200 138921274757809704966400
- Sum of all divisors σ(n): 403186568205271134103841
- Sum of proper divisors (its aliquot sum) s(n): 264265293447461429137441
- 138921274757809704966400 is an abundant number, because the sum of its proper divisors (264265293447461429137441) is greater than itself. Its abundance is 125344018689651724171041
Bases of 138921274757809704966400
- Binary: 111010110101011101111111110010001101111000100111001111011111010011001000000002
- Hexadecimal: 0x1D6AEFF91BC4E7BE9900
- Base-36: MMEAPU4N5BUZZLS
Squares and roots of 138921274757809704966400
- 138921274757809704966400 squared (1389212747578097049664002) is 19299120580334855901268379328462212825128960000
- 138921274757809704966400 cubed (1389212747578097049664003) is 2681058432724798401505156972483683572973484396716903413632466944000000
-
138921274757809704966400 is a
perfect square number . Itssquare root is 372721443920 -
The
cube root of 138921274757809704966400 is 51791233.3367262513
Scales and comparisons
How big is 138921274757809704966400?- 138,921,274,757,809,704,966,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,921,274,757,809,704,966,400 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 138921274757809704966400 cubic inches would be around 4315936.1 feet tall.
Recreational maths with 138921274757809704966400
- 138921274757809704966400 backwards is 004669407908757472129831
- The number of decimal digits it has is: 24
- The sum of 138921274757809704966400's digits is 109
- More coming soon!
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"Number 138921274757809704966400 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. 2024. "Number 138921274757809704966400 - Facts about the integer". https://numbermatics.com/n/138921274757809704966400/
The information we have on file for 138921274757809704966400 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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