138993972463104
138,993,972,463,104 is an even composite number composed of six prime numbers multiplied together.
138993972463104 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138993972463104:
29 × 3 × 112 × 232 × 292 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 23 × 23 × 29 × 29 × 41 × 41)See below for interesting mathematical facts about the number 138993972463104 from the Numbermatics database.
Names of 138993972463104
- Cardinal: 138993972463104 can be written as One hundred thirty-eight trillion, nine hundred ninety-three billion, nine hundred seventy-two million, four hundred sixty-three thousand, one hundred four.
Scientific notation
- Scientific notation: 1.38993972463104 × 1014
Factors of 138993972463104
Divisors of 138993972463104
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 23 24 29 32 33 41 44 46 48 58 64 66 69 82 87 88 92 96 116 121 123 128 132 138 164 174 176 184 192 232 242 246 253 256 264 276 319 328 348 352 363 368 384 451 464 484 492 506 512 528 529 552 638 656 667 696 704 726 736 759 768 841 902 928 943 957 968 984 1012 1056 1058 1104 1189 1276 1312 1334 1353 1392 1408 1452 1472 1518 1536 1587 1681 1682 1804 1856 1886 1914 1936 1968 2001 2024 2112 2116 2208 2378 2523 2552 2624 2668 2706 2783 2784 2816 2829 2904 2944 3036 3174 3362 3364 3509 3567 3608 3712 3772 3828 3872 3936 4002 4048 4224 4232 4416 4756 4961 5043 5046 5104 5248 5336 5412 5566 5568 5632 5658 5808 5819 5888 6072 6348 6724 6728 7018 7134 7216 7337 7424 7544 7656 7744 7872 8004 8096 8349 8448 8464 8832 9251 9512 9922 10086 10092 10208 10373 10496 10527 10672 10824 11132 11136 11316 11616 11638 11776 12144 12696 13079 13448 13456 14036 14268 14432 14674 14848 14883 15088 15312 15341 15488 15744 16008 16192 16698 16896 16928 17457 17664 18491 18502 19024 19343 19844 20172 20184 20416 20746 20992 21054 21344 21648 21689 22011 22264 22272 22632 23232 23276 24288 25392 26158 26896 26912 27347 27753 28072 28536 28864 29348 29766 30176 30624 30682 30976 31119 31488 32016 32384 33396 33856 34481 34914 35328 36982 37004 38048 38663 38686 39237 39688 40344 40368 40832 41492 42108 42688 43296 43378 44022 44528 44544 45264 46023 46464 46552 48576 48749 50784 52316 53792 53824 54694 55473 55506 56144 57072 57728 58029 58696 59532 60352 61248 61364 61952 62238 62976 64009 64032 64768 65067 66792 67712 68962 69828 73964 74008 76096 77326 77372 78474 79376 80688 80707 80736 81664 82041 82984 84216 85376 86592 86756 88044 89056 90528 92046 92928 93104 97152 97498 101568 101761 103443 104632 107584 107648 109388 110946 111012 112288 114103 114144 115456 115989 116058 117392 119064 120704 122496 122728 124476 128018 128064 129536 130134 133584 135424 137924 139656 143869 146247 147928 148016 152192 154652 154744 156948 158752 161376 161414 161472 163328 164082 165968 168432 168751 170752 173184 173512 176088 178112 181056 184092 185856 186208 192027 194304 194996 203136 203401 203522 206886 209264 212773 215168 215296 218776 221892 222024 224576 228206 228288 230912 231978 232116 234784 238128 238579 241408 242121 244992 245456 248952 256036 256128 260268 267168 270848 275848 279312 287738 292494 295856 296032 300817 304384 305283 309304 309488 313896 317504 322752 322828 322944 328164 331936 336864 337502 341504 342309 346368 347024 352176 356224 362112 368184 372416 379291 384054 388608 389992 406272 406802 407044 413772 418528 425293 425546 430336 430592 431607 437552 443784 444048 444889 449152 456412 456576 463956 464232 469568 476256 477158 482816 484242 489984 490912 497904 506253 512072 512256 520536 534336 536239 551696 558624 575476 584988 591712 592064 601634 608768 610203 610566 618608 618976 627792 628981 635008 638319 645504 645656 645888 656328 663872 673728 675004 684618 692736 694048 704352 712448 715737 724224 736368 744832 758582 768108 779984 793063 812544 813604 814088 827544 837056 850586 851092 860672 863214 875104 887568 888096 889249 889778 898304 902451 912824 913152 927912 928464 939136 952512 954316 968484 981824 995808 1012506 1024144 1024512 1041072 1068672 1072478 1103392 1117248 1121227 1137873 1150952 1169976 1183424 1184128 1203268 1220406 1221132 1237216 1237952 1255584 1257962 1270016 1275879 1276638 1291008 1291312 1291776 1312656 1327744 1334667 1347456 1350008 1369236 1388096 1408704 1413721 1424896 1431474 1448448 1472736 1489664 1517164 1536216 1559968 1586126 1608717 1627208 1628176 1655088 1674112 1701172 1702184 1726428 1750208 1775136 1776192 1778498 1779556 1796608 1804902 1825648 1826304 1855824 1856261 1856928 1878272 1886943 1905024 1908632 1936968 1963648 1991616 2025012 2048288 2082144 2137344 2144956 2206784 2234496 2242454 2275746 2301904 2339952 2340503 2366848 2368256 2379189 2406536 2440812 2442264 2474432 2475904 2511168 2515924 2540032 2551758 2553276 2582016 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1535369968 1560747984 1578687616 1602125184 1605159512 1628021604 1650446144 1674949056 1694201344 1702022586 1721586064 1722204672 1722610208 1751083104 1771210496 1796437632 1797506304 1826560824 1878093888 1879211136 1990519168 2015515392 2052722892 2080997312 2136166912 2146028478 2170695472 2171475456 2207094329 2233265408 2243575227 2265073536 2269363448 2303054952 2334777472 2368031424 2395250176 2407739268 2435414432 2475669216 2504125184 2505614848 2541302016 2582379096 2583915312 2656815744 2736963856 2851216896 2861371304 2985778752 2991433636 3020098048 3070739936 3120374741 3121495968 3157375232 3204250368 3210319024 3256043208 3300892288 3349898112 3404045172 3443172128 3445220416 3502166208 3542420992 3592875264 3595012608 3653121648 3756187776 3758422272 3934385543 3981038336 4031030784 4105445784 4161994624 4292056956 4341390944 4414188658 4466530816 4487150454 4530147072 4538726896 4606109904 4669554944 4736062848 4815478536 4870828864 4951338432 5008250368 5082604032 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24565919488 24679327497 24962997928 24971967744 25682552192 26048345664 26485131948 27232361376 27545377024 27561763328 28017329664 29224973184 31475084344 32843566272 32905769996 34336455648 34731127552 35313509264 35897203632 36309815168 36848879232 37444496892 38523828288 38966630912 39610707456 41318065536 41342644992 43791421696 45781940864 47212626516 47862938176 49131838976 49358654994 49925995856 49943935488 51365104384 52096691328 52970263896 54464722752 55090754048 58449946368 62950168688 65687132544 65811539992 68672911296 69462255104 70627018528 71794407264 72619630336 73697758464 74888993784 77047656576 82636131072 82685289984 87582843392 90490867489 91563881728 94425253032 95725876352 98717309988 99851991712 102730208768 104193382656 105940527792 108929445504 116899892736 125900337376 131374265088 131623079984 137345822592 141254037056 143588814528 145239260672 147395516928 149777987568 154095313152 165272262144 180981734978 183127763456 188850506064 191451752704 197434619976 199703983424 208386765312 211881055584 217858891008 251800674752 262748530176 263246159968 271472602467 274691645184 282508074112 287177629056 299555975136 308190626304 361963469956 377701012128 382903505408 394869239952 399407966848 423762111168 435717782016 503601349504 526492319936 542945204934 549383290368 565016148224 574355258112 599111950272 723926939912 755402024256 789738479904 798815933696 847524222336 1007202699008 1052984639872 1085890409868 1130032296448 1148710516224 1198223900544 1447853879824 1510804048512 1579476959808 1597631867392 1695048444672 2014405398016 2105969279744 2171780819736 2396447801088 2895707759648 3021608097024 3158953919616 3390096889344 4211938559488 4343561639472 4792895602176 5791415519296 6043216194048 6317907839232 8687123278944 11582831038592 12635815678464 17374246557888 23165662077184 34748493115776 46331324154368 69496986231552 138993972463104
- Sum of all divisors σ(n): 451664367518364
- Sum of proper divisors (its aliquot sum) s(n): 312670395055260
- 138993972463104 is an abundant number, because the sum of its proper divisors (312670395055260) is greater than itself. Its abundance is 173676422592156
Bases of 138993972463104
- Binary: 111111001101010000011100101101011000110000000002
- Hexadecimal: 0x7E6A0E5AC600
- Base-36: 1D9OY6HIIO
Squares and roots of 138993972463104
- 138993972463104 squared (1389939724631042) is 19319324381074113032641314816
- 138993972463104 cubed (1389939724631043) is 2685269641028788994956728039446612608548864
-
The
square root of 138993972463104 is 11789570.4952769165 -
The
cube root of 138993972463104 is 51800.2659039217
Scales and comparisons
How big is 138993972463104?- 138,993,972,463,104 seconds is equal to 4,419,578 years, 20 weeks, 1 day, 3 hours, 18 minutes, 24 seconds.
-
To count from 1 to 138,993,972,463,104 would take you about eleven million, forty-eight thousand, nine hundred forty-five 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 138993972463104 cubic inches would be around 4316.7 feet tall.
Recreational maths with 138993972463104
- 138993972463104 backwards is 401364279399831
- 138993972463104 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138993972463104's digits is 69
- More coming soon!
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"Number 138993972463104 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138993972463104 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138993972463104/
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The information we have on file for 138993972463104 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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