138616827923551778944
138,616,827,923,551,778,944 is an even composite number composed of five prime numbers multiplied together.
What does the number 138616827923551778944 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
138616827923551778944 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138616827923551778944:
27 × 112 × 132 × 173 × 476
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 13 × 13 × 17 × 17 × 17 × 47 × 47 × 47 × 47 × 47 × 47)See below for interesting mathematical facts about the number 138616827923551778944 from the Numbermatics database.
Names of 138616827923551778944
- Cardinal: 138616827923551778944 can be written as One hundred thirty-eight quintillion, six hundred sixteen quadrillion, eight hundred twenty-seven trillion, nine hundred twenty-three billion, five hundred fifty-one million, seven hundred seventy-eight thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.38616827923551778944 × 1020
Factors of 138616827923551778944
Divisors of 138616827923551778944
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 4 8 11 13 16 17 22 26 32 34 44 47 52 64 68 88 94 104 121 128 136 143 169 176 187 188 208 221 242 272 286 289 338 352 374 376 416 442 484 517 544 572 578 611 676 704 748 752 799 832 884 968 1034 1088 1144 1156 1222 1352 1408 1496 1504 1573 1598 1664 1768 1859 1936 2057 2068 2176 2209 2288 2312 2431 2444 2704 2873 2992 3008 3146 3179 3196 3536 3718 3757 3872 4114 4136 4418 4576 4624 4862 4888 4913 5408 5687 5746 5984 6016 6292 6358 6392 6721 7072 7436 7514 7744 7943 8228 8272 8789 8836 9152 9248 9724 9776 9826 10387 10816 11374 11492 11968 12584 12716 12784 13442 13583 14144 14872 15028 15488 15886 16456 16544 17578 17672 18304 18496 19448 19552 19652 20449 20774 21632 22748 22984 23936 24299 25168 25432 25568 26741 26884 27166 28288 28717 29744 30056 31603 31772 32912 33088 34969 35156 35344 36992 37553 38896 39104 39304 40898 41327 41548 45496 45968 48598 48841 50336 50864 51136 53482 53768 54043 54332 57434 59488 60112 63206 63544 63869 65824 66176 69938 70312 70688 73931 75106 77792 78208 78608 81796 82654 83096 87373 90992 91936 96679 97196 97682 100672 101728 102272 103823 106964 107536 108086 108664 114257 114868 118976 120224 126412 127088 127738 131648 135031 139876 140624 141376 147862 149413 150212 155584 157216 163592 165308 166192 174746 176579 181984 183872 193358 194392 195364 201344 203456 207646 213928 215072 216172 217328 228514 229736 230911 237952 240448 252824 254176 255476 263296 267289 270062 279752 281248 282752 295724 298826 300424 311168 314432 315887 327184 330616 332384 347633 349492 353158 363968 367744 373321 386716 388784 390728 406912 413083 415292 427856 430144 432344 434656 454597 457028 459472 461822 480896 488189 505648 508352 510952 534578 537251 540124 559504 562496 591448 594473 597652 600848 628864 631774 638401 654368 661232 664768 695266 698984 702559 706316 727936 746642 773432 777568 781456 826166 830297 830584 855712 860288 864688 869312 909194 914056 918944 923644 961103 976378 1011296 1016704 1021904 1069156 1074502 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709531069816096 713078871165232 716892127160768 753876761679602 761697885108316 785013098519936 793247501651264 834076417177432 838536718873568 847332558582032 881696697050884 890945263803166 922807950919712 927742752796288 937474320133312 980483447852194 985726674846056 990997940486944 1026555590372224 1052935311767378 1085165165601088 1090715314770488 1096548016988512 1152987988451156 1165082268050294 1206748858895008 1213202061348992 1275646285094896 1282467922983104 1289027190183304 1295920383713696 1335126397075328 1355374177913327 1362622168169548 1376915407695802 1419062139632192 1426157742330464 1433784254321536 1507753523359204 1523395770216632 1586495003302528 1668152834354864 1677073437747136 1694665117164064 1763393394101768 1772412386502043 1781890527606332 1845615901839424 1874948640266624 1960966895704388 1971453349692112 1981995880973888 2094669184047869 2105870623534756 2170330331202176 2181430629540976 2193096033977024 2305975976902312 2330164536100588 2413497717790016 2551292570189792 2564935845966208 2578054380366608 2591840767427392 2710748355826654 2725244336339096 2753830815391604 2838124279264384 2852315484660928 3015507046718408 3046791540433264 3336305668709728 3354146875494272 3389330234328128 3526786788203536 3544824773004086 3563781055212664 3691231803678848 3747210962466257 3921933791408776 3942906699384224 3963991761947776 4189338368095738 4211741247069512 4362861259081952 4386192067954048 4611951953804624 4660329072201176 4826995435580032 4900198950917413 5102585140379584 5156108760733216 5183681534854784 5421496711653308 5450488672678192 5507661630783208 5704630969321856 5791144214720579 6031014093436816 6093583080866528 6407952474276617 6672611337419456 6778660468656256 7053573576407072 7089649546008172 7127562110425328 7494421924932514 7573034742326911 7843867582817552 7885813398768448 8378676736191476 8423482494139024 8725722518163904 8949950150022713 9223903907609248 9320658144402352 9800397901834826 10205170280759168 10312217521466432 10842993423306616 10900977345356384 11015323261566416 11582288429441158 12062028186873632 12187166161733056 12815904948553234 13345222674838912 14107147152814144 14179299092016344 14255124220850656 14988843849865028 15146069484653822 15687735165635104 15771626797536896 16757353472382952 16846964988278048 17451445036327808 17899900300045426 18447807815218496 18641316288804704 19600795803669652 20624435042932864 21685986846613232 21801954690712768 22030646523132832 23041361024526559 23164576858882316 24124056373747264 24374332323466112 25631809897106468 28214294305628288 28358598184032688 28510248441701312 29977687699730056 30292138969307644 31375470331270208 33514706944765904 33693929976556096 35799800600090852 36895615630436992 37282632577609408 39201591607339304 43371973693226464 43603909381425536 44061293046265664 46082722049053118 46329153717764632 48248112747494528 51263619794212936 56717196368065376 57020496883402624 59955375399460112 60584277938615288 62750940662540416 63702586361926369 67029413889531808 67387859953112192 71599601200181704 74565265155218816 78403183214678608 83303382165596021 86743947386452928 88122586092531328 92165444098106236 92658307435529264 98449451650249843 102527239588425872 113434392736130752 119910750798920224 121168555877230576 127405172723852738 134058827779063616 143199202400363408 156806366429357216 166606764331192042 173487894772905856 184330888196212472 185316614871058528 196898903300499686 205054479176851744 226868785472261504 239821501597840448 242337111754461152 254810345447705476 268117655558127232 286398404800726816 313612732858714432 333213528662384084 368661776392424944 370633229742117056 393797806600999372 410108958353703488 479643003195680896 484674223508922304 509620690895410952 572796809601453632 627225465717428864 666427057324768168 737323552784849888 741266459484234112 787595613201998744 820217916707406976 969348447017844608 1019241381790821904 1082943968152748273 1145593619202907264 1332854114649536336 1474647105569699776 1575191226403997488 2038482763581643808 2165887936305496546 2665708229299072672 2949294211139399552 3150382452807994976 4076965527163287616 4331775872610993092 5331416458598145344 6300764905615989952 8153931054326575232 8663551745221986184 10662832917196290688 12601529811231979904 17327103490443972368 34654206980887944736 69308413961775889472 138616827923551778944
- Sum of all divisors σ(n): 356812933513294761300
- Sum of proper divisors (its aliquot sum) s(n): 218196105589742982356
- 138616827923551778944 is an abundant number, because the sum of its proper divisors (218196105589742982356) is greater than itself. Its abundance is 79579277666191203412
Bases of 138616827923551778944
- Binary: 11110000011101100011110011010010010101100101100000001111000100000002
- Hexadecimal: 0x783B1E692B2C07880
- Base-36: T958SJBUL9A4G
Squares and roots of 138616827923551778944
- 138616827923551778944 squared (1386168279235517789442) is 19214624983587564187793269766627041755136
- 138616827923551778944 cubed (1386168279235517789443) is 2663470364965536309704856895837131803172359409004020848656384
-
The
square root of 138616827923551778944 is 11773564792.5151275715 -
The
cube root of 138616827923551778944 is 5175337.2062600703 - Being both a perfect square and a perfect cube, 138616827923551778944 is also a
perfect sixth number .
Scales and comparisons
How big is 138616827923551778944?- 138,616,827,923,551,778,944 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,616,827,923,551,778,944 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 138616827923551778944 cubic inches would be around 431278.1 feet tall.
Recreational maths with 138616827923551778944
- 138616827923551778944 backwards is 449877155329728616831
- The number of decimal digits it has is: 21
- The sum of 138616827923551778944's digits is 106
- More coming soon!
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"Number 138616827923551778944 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 138616827923551778944 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138616827923551778944/
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Numbermatics. 2024. "Number 138616827923551778944 - Facts about the integer". https://numbermatics.com/n/138616827923551778944/
The information we have on file for 138616827923551778944 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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