138376777720043520
138,376,777,720,043,520 is an even composite number composed of six prime numbers multiplied together.
What does the number 138376777720043520 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
138376777720043520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138376777720043520:
211 × 32 × 5 × 7 × 2712 × 17092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 271 × 271 × 1709 × 1709)See below for interesting mathematical facts about the number 138376777720043520 from the Numbermatics database.
Names of 138376777720043520
- Cardinal: 138376777720043520 can be written as One hundred thirty-eight quadrillion, three hundred seventy-six trillion, seven hundred seventy-seven billion, seven hundred twenty million, forty-three thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3837677772004352 × 1017
Factors of 138376777720043520
Divisors of 138376777720043520
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 128 140 144 160 168 180 192 210 224 240 252 256 271 280 288 315 320 336 360 384 420 448 480 504 512 542 560 576 630 640 672 720 768 813 840 896 960 1008 1024 1084 1120 1152 1260 1280 1344 1355 1440 1536 1626 1680 1709 1792 1897 1920 2016 2048 2168 2240 2304 2439 2520 2560 2688 2710 2880 3072 3252 3360 3418 3584 3794 3840 4032 4065 4336 4480 4608 4878 5040 5120 5127 5376 5420 5691 5760 6144 6504 6720 6836 7168 7588 7680 8064 8130 8545 8672 8960 9216 9485 9756 10080 10240 10254 10752 10840 11382 11520 11963 12195 13008 13440 13672 14336 15176 15360 15381 16128 16260 17073 17090 17344 17920 18432 18970 19512 20160 20508 21504 21680 22764 23040 23926 24390 25635 26016 26880 27344 28455 30352 30720 30762 32256 32520 34146 34180 34688 35840 35889 37940 39024 40320 41016 43008 43360 45528 46080 47852 48780 51270 52032 53760 54688 56910 59815 60704 61524 64512 65040 68292 68360 69376 71680 71778 73441 75880 76905 78048 80640 82032 85365 86720 91056 92160 95704 97560 102540 104064 107520 107667 109376 113820 119630 121408 123048 129024 130080 136584 136720 138752 143556 146882 151760 153810 156096 161280 164064 170730 173440 179445 182112 191408 195120 205080 208128 215040 215334 218752 220323 227640 239260 242816 246096 260160 273168 273440 277504 287112 293764 303520 307620 312192 322560 328128 341460 346880 358890 364224 367205 382816 390240 410160 416256 430668 437504 440646 455280 463139 478520 485632 492192 514087 520320 538335 546336 546880 555008 574224 587528 607040 615240 624384 645120 656256 660969 682920 693760 717780 728448 734410 765632 780480 820320 832512 861336 875008 881292 910560 926278 957040 971264 984384 1028174 1040640 1076670 1092672 1093760 1101615 1148448 1175056 1214080 1230480 1248768 1312512 1321938 1365840 1387520 1389417 1435560 1456896 1468820 1531264 1542261 1560960 1640640 1665024 1722672 1750016 1762584 1821120 1852556 1914080 1942528 1968768 2056348 2081280 2153340 2185344 2187520 2203230 2296896 2315695 2350112 2428160 2460960 2497536 2570435 2625024 2643876 2731680 2775040 2778834 2871120 2913792 2920681 2937640 3062528 3084522 3121920 3241973 3281280 3304845 3445344 3500032 3525168 3642240 3705112 3828160 3885056 3937536 4112696 4162560 4168251 4306680 4370688 4375040 4406460 4593792 4626783 4631390 4700224 4856320 4921920 4995072 5140870 5250048 5287752 5463360 5557668 5742240 5827584 5841362 5875280 6125056 6169044 6243840 6483946 6562560 6609690 6890688 6947085 7050336 7284480 7410224 7656320 7711305 7875072 8225392 8325120 8336502 8613360 8741376 8750080 8762043 8812920 9187584 9253566 9262780 9400448 9712640 9725919 9843840 10281740 10500096 10575504 10926720 11115336 11484480 11655168 11682724 11750560 12250112 12338088 12487680 12967892 13125120 13219380 13781376 13894170 14100672 14568960 14603405 14820448 15312640 15422610 15750144 16209865 16450784 16673004 17226720 17482752 17500160 17524086 17625840 18375168 18507132 18525560 18800896 19425280 19451838 19687680 20444767 20563480 20841255 21151008 21853440 22230672 22968960 23133915 23365448 23501120 24500224 24676176 24975360 25935784 26250240 26286129 26438760 27562752 27788340 28201344 29137920 29177757 29206810 29640896 30625280 30845220 31500288 32419730 32901568 33346008 34453440 34965504 35048172 35251680 36750336 37014264 37051120 37601792 38903676 39375360 40889534 41126960 41682510 42302016 43706880 43810215 44461344 45937920 46267830 46730896 47002240 48629595 49352352 51871568 52500480 52572258 52877520 55125504 55576680 56402688 58275840 58355514 58413620 59281792 61250560 61334301 61690440 64839460 65803136 66692016 68906880 70096344 70503360 73500672 74028528 74102240 75203584 77807352 78750720 81779068 82253920 83365020 84604032 87413760 87620430 88922688 91875840 92535660 93461792 94004480 97259190 98704704 102223835 103743136 105144516 105755040 110251008 111153360 112805376 116711028 116827240 118563584 122501120 122668602 123380880 125510669 129678920 131430645 131606272 133384032 137813760 140192688 141006720 145888785 148057056 148204480 150407168 155614704 157501440 163558136 164507840 166730040 169208064 174827520 175240860 177845376 183751680 184002903 185071320 186923584 188008960 194518380 197409408 204447670 207486272 210289032 211510080 220502016 222306720 225610752 233422056 233654480 237127168 245337204 246761760 251021338 259357840 262861290 263212544 266768064 275627520 280385376 282013440 291777570 296114112 296408960 306671505 311229408 327116272 329015680 333460080 338416128 350481720 355690752 367503360 368005806 370142640 373847168 376017920 376532007 389036760 394818816 408895340 414972544 420578064 423020160 444613440 451221504 466844112 467308960 474254336 490674408 493523520 502042676 518715680 525722580 526425088 533536128 551255040 560770752 564026880 583555140 592228224 592817920 613343010 622458816 627553345 654232544 658031360 666920160 676832256 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3514298732 3556907520 3680058060 3734752896 3738471680 3765320070 3925395264 3948188160 3957522755 4016341408 4149725440 4205780640 4268289024 4392873415 4486166016 4518384084 4668441120 4737825792 4742543360 4749027306 4906744080 4979670528 5020426760 5233860352 5264250880 5271448098 5335361280 5540531857 5607707520 5647980105 5888092896 5922282240 5981554688 6024512112 6224588160 6332036408 6542325440 6639560704 6729249024 6768322560 7028597464 7113815040 7123540959 7360116120 7469505792 7476943360 7530640140 7850790528 7896376320 7907172147 7915045510 8032682816 8299450880 8411561280 8536578048 8785746830 8972332032 9036768168 9336882240 9475651584 9498054612 9813488160 9959341056 10040853520 10467720704 10542896196 10670722560 11081063714 11215415040 11295960210 11776185792 11844564480 11872568265 12049024224 12449176320 12664072816 13084650880 13178620245 13458498048 14057194928 14227630080 14247081918 14720232240 14939011584 14953886720 15061280280 15701581056 15792752640 15814344294 15830091020 16065365632 16598901760 16621595571 16823122560 17571493660 17944664064 18073536336 18673764480 18996109224 19626976320 19918682112 20081707040 20935441408 21085792392 21341445120 22162127428 22430830080 22591920420 23552371584 23689128960 23745136530 24098048448 24898352640 25328145632 26169301760 26357240490 26916996096 27702659285 28114389856 28494163836 29440464480 29878023168 29907773440 30122560560 31403162112 31628688588 31660182040 32130731264 33197803520 33243191142 33646245120 35142987320 35617704795 36147072672 37347528960 37992218448 39253952640 39535860735 40163414080 41870882816 42171584784 42682890240 44324254856 44861660160 45183840840 47104743168 47378257920 47490273060 48196096896 49796705280 49864786713 50656291264 52338603520 52714480980 53833992192 55405318570 56228779712 56988327672 58880928960 59756046336 60245121120 62806324224 63257377176 63320364080 64261462528 66486382284 67292490240 70285974640 71235409590 72294145344 74695057920 75984436896 78507905280 79071721470 80326828160 83107977855 84343169568 88648509712 89723320320 90367681680 94209486336 94980546120 96392193792 99593410560 99729573426 101312582528 104677207040 105428961960 110810637140 112457559424 113976655344 117761857920 120490242240 125612648448 126514754352 126640728160 128522925056 132972764568 134584980480 140571949280 142470819180 144588290688 149390115840 151968873792 157015810560 158143442940 160653656320 166215955710 168686339136 177297019424 180735363360 188418972672 189961092240 192784387584 199459146852 202625165056 209354414080 210857923920 214497733321 221621274280 224915118848 227953310688 235523715840 240980484480 249323933565 253029508704 253281456320 257045850112 265945529136 269169960960 281143898560 284941638360 289176581376 298780231680 303937747584 314031621120 316286885880 321307312640 332431911420 337372678272 354594038848 361470726720 376837945344 379922184480 385568775168 398918293704 405250330112 421715847840 428995466642 443242548560 449830237696 455906621376 471047431680 481960968960 498647867130 506059017408 506562912640 531891058272 562287797120 569883276720 578353162752 607875495168 628063242240 632573771760 642614625280 643493199963 664863822840 674745356544 709188077696 722941453440 759844368960 771137550336 797836587408 810500660224 843431695680 857990933284 886485097120 899660475392 911813242752 942094863360 963921937920 997295734260 1012118034816 1013125825280 1063782116544 1072488666605 1124575594240 1139766553440 1156706325504 1215750990336 1265147543520 1285229250560 1286986399926 1329727645680 1349490713088 1418376155392 1445882906880 1501484133247 1519688737920 1595673174816 1621001320448 1686863391360 1715981866568 1772970194240 1799320950784 1823626485504 1884189726720 1927843875840 1930479599889 1994591468520 2024236069632 2026251650560 2127564233088 2144977333210 2249151188480 2279533106880 2313412651008 2431501980672 2530295087040 2573972799852 2659455291360 2698981426176 2836752310784 2891765813760 3002968266494 3039377475840 3191346349632 3217465999815 3373726782720 3431963733136 3545940388480 3647252971008 3855687751680 3860959199778 3989182937040 4048472139264 4052503301120 4255128466176 4289954666420 4498302376960 4504452399741 4559066213760 4863003961344 5060590174080 5147945599704 5318910582720 5397962852352 5673504621568 5783531627520 6005936532988 6078754951680 6382692699264 6434931999630 6747453565440 6863927466272 7091880776960 7294505942016 7507420666235 7721918399556 7978365874080 8096944278528 8105006602240 8510256932352 8579909332840 8996604753920 9008904799482 9118132427520 9652397999445 10121180348160 10295891199408 10637821165440 11347009243136 11567063255040 12011873065976 12157509903360 12765385398528 12869863999260 13494907130880 13513357199223 13727854932544 14183761553920 14589011884032 15014841332470 15443836799112 15956731748160 16193888557056 17020513864704 17159818665680 18017809598964 18236264855040 19304795998890 20242360696320 20591782398816 21275642330880 22522261998705 24023746131952 24315019806720 25530770797056 25739727998520 26989814261760 27026714398446 27455709865088 28367523107840 30029682664940 30887673598224 31913463496320 34041027729408 34319637331360 36035619197928 36472529710080 38609591997780 40484721392640 41183564797632 42551284661760 45044523997410 48047492263904 51061541594112 51479455997040 54053428796892 54911419730176 56735046215680 60059365329880 61775347196448 63826926992640 67566785996115 68639274662720 72071238395856 72945059420160 77219183995560 80969442785280 82367129595264 85102569323520 90089047994820 96094984527808 102123083188224 102958911994080 108106857593784 109822839460352 120118730659760 123550694392896 127653853985280 135133571992230 137278549325440 144142476791712 154438367991120 164734259190528 170205138647040 180178095989640 192189969055616 205917823988160 216213715187568 219645678920704 240237461319520 247101388785792 255307707970560 270267143984460 274557098650880 288284953583424 308876735982240 329468518381056 360356191979280 384379938111232 411835647976320 432427430375136 439291357841408 480474922639040 494202777571584 510615415941120 540534287968920 549114197301760 576569907166848 617753471964480 658937036762112 720712383958560 768759876222464 823671295952640 864854860750272 960949845278080 988405555143168 1081068575937840 1098228394603520 1153139814333696 1235506943928960 1317874073524224 1441424767917120 1537519752444928 1647342591905280 1729709721500544 1921899690556160 1976811110286336 2162137151875680 2196456789207040 2306279628667392 2471013887857920 2882849535834240 3075039504889856 3294685183810560 3459419443001088 3843799381112320 3953622220572672 4324274303751360 4612559257334784 4942027775715840 5765699071668480 6589370367621120 6918838886002176 7687598762224640 8648548607502720 9225118514669568 9884055551431680 11531398143336960 13837677772004352 15375197524449280 17297097215005440 19768111102863360 23062796286673920 27675355544008704 34594194430010880 46125592573347840 69188388860021760 138376777720043520
- Sum of all divisors σ(n): 550453837983744240
- Sum of proper divisors (its aliquot sum) s(n): 412077060263700720
- 138376777720043520 is an abundant number, because the sum of its proper divisors (412077060263700720) is greater than itself. Its abundance is 273700282543657200
Bases of 138376777720043520
- Binary: 1111010111001110011110010001110010010101010011000000000002
- Hexadecimal: 0x1EB9CF2392A9800
- Base-36: 11UIH23JZLS0
Squares and roots of 138376777720043520
- 138376777720043520 squared (1383767777200435202) is 19148132612182332713132750693990400
- 138376777720043520 cubed (1383767777200435203) is 2649656890229870944687537342754160857924090462208000
-
The
square root of 138376777720043520 is 371990292.5078066067 -
The
cube root of 138376777720043520 is 517234.8010307253
Scales and comparisons
How big is 138376777720043520?- 138,376,777,720,043,520 seconds is equal to 4,399,953,504 years, 1 week, 11 hours, 12 minutes.
-
To count from 1 to 138,376,777,720,043,520 would take you about thirteen billion, one hundred ninety-nine million, eight hundred sixty thousand, five hundred twelve 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 138376777720043520 cubic inches would be around 43102.9 feet tall.
Recreational maths with 138376777720043520
- 138376777720043520 backwards is 025340027777673831
- 138376777720043520 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138376777720043520's digits is 72
- More coming soon!
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"Number 138376777720043520 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138376777720043520 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138376777720043520/
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Numbermatics. 2024. "Number 138376777720043520 - Facts about the integer". https://numbermatics.com/n/138376777720043520/
The information we have on file for 138376777720043520 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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