3438077855790096225
3,438,077,855,790,096,225 is an odd composite number composed of five prime numbers multiplied together.
What does the number 3438077855790096225 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
3438077855790096225 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 3438077855790096225:
313 × 52 × 7 × 613 × 2332
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 61 × 61 × 61 × 233 × 233)See below for interesting mathematical facts about the number 3438077855790096225 from the Numbermatics database.
Names of 3438077855790096225
- Cardinal: 3438077855790096225 can be written as Three quintillion, four hundred thirty-eight quadrillion, seventy-seven trillion, eight hundred fifty-five billion, seven hundred ninety million, ninety-six thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 3.438077855790096225 × 1018
Factors of 3438077855790096225
Divisors of 3438077855790096225
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 3 5 7 9 15 21 25 27 35 45 61 63 75 81 105 135 175 183 189 225 233 243 305 315 405 427 525 549 567 675 699 729 915 945 1165 1215 1281 1525 1575 1631 1647 1701 2025 2097 2135 2187 2745 2835 3495 3645 3721 3843 4575 4725 4893 4941 5103 5825 6075 6291 6405 6561 8155 8235 8505 10485 10675 10935 11163 11529 13725 14175 14213 14679 14823 15309 17475 18225 18605 18873 19215 19683 24465 24705 25515 26047 31455 32025 32805 33489 34587 40775 41175 42525 42639 44037 44469 45927 52425 54289 54675 55815 56619 57645 59049 71065 73395 74115 76545 78141 93025 94365 96075 98415 99491 100467 103761 122325 123525 127575 127917 130235 132111 133407 137781 157275 162867 164025 167445 169857 172935 177147 213195 220185 222345 226981 229635 234423 271445 279075 283095 288225 295245 298473 301401 311283 355325 366975 370575 380023 382725 383751 390705 396333 400221 413343 471825 488601 492075 497455 502335 509571 518805 531441 639585 651175 660555 667035 680943 688905 703269 814335 837225 849285 864675 866993 885735 895419 904203 933849 1065975 1100925 1111725 1134905 1140069 1148175 1151253 1172115 1188999 1200663 1240029 1357225 1415475 1465803 1476225 1492365 1507005 1528713 1556415 1588867 1594323 1900115 1918755 1953525 1981665 2001105 2042829 2066715 2109807 2443005 2487275 2511675 2547855 2594025 2600979 2657205 2686257 2712609 2801547 3197925 3302775 3311629 3335175 3404715 3420207 3444525 3453759 3516345 3566997 3601989 3720087 4071675 4246425 4334965 4397409 4428675 4477095 4521015 4586139 4669245 4766601 5674525 5700345 5756265 5860575 5944995 6003315 6068951 6128487 6200145 6329421 7329015 7461825 7535025 7643565 7782075 7802937 7944335 7971615 8058771 8137827 8404641 9500575 9593775 9908325 9934887 10005525 10214145 10260621 10333575 10361277 10549035 10700991 10805967 11160261 12215025 12739275 13004895 13192227 13286025 13431285 13563045 13758417 14007735 14299803 16558145 17023575 17101035 17268795 17581725 17834985 18009945 18206853 18385461 18600435 18988263 21674825 21987045 22385475 22605075 22930695 23181403 23346225 23408811 23833005 24176313 24413481 25213923 28501725 28781325 29724975 29804661 30016575 30344755 30642435 30781863 31000725 31083831 31647105 32102973 32417901 36645075 38217825 39014685 39576681 39721675 39858075 40293855 40689135 41275251 42023205 42899409 49674435 51070725 51303105 51806385 52745175 52886573 53504955 54029835 54620559 55156383 55801305 56964789 65024475 65961135 67156425 67815225 68792085 69544209 70038675 70226433 71499015 72528939 73240443 75641769 82790725 85505175 86343975 89174925 89413983 90049725 91034265 91927305 92345589 93002175 93251493 94941315 96308919 97253703 109935225 114653475 115907015 117044055 118730043 119165025 120881565 122067405 123825753 126069615 128698227 149023305 151723775 153212175 153909315 155419155 158235525 158659719 160514865 162089505 163861677 165469149 170894367 195073425 197883405 201469275 202009369 203445675 206376255 208632627 210116025 210679299 214497045 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1818084321 1831011075 1851030055 1857386295 1877693643 1891044225 1896113691 1930473405 1958281353 1977491961 2235349575 2308639725 2331287325 2379895785 2407722975 2414177541 2431342575 2457925155 2482037235 2493330903 2517790311 2563415505 2600340813 2968251075 3030140535 3095643825 3129489405 3160189485 3205711161 3217455675 3263802255 3295819935 3331854099 3403879605 3474852129 3966492975 4023629235 4096541925 4136728725 4155551505 4196317185 4242196749 4272359175 4283812413 4333901355 4424265279 4467667023 4614147909 5050234225 5215815675 5266982475 5342851935 5439670425 5454252963 5493033225 5553090165 5633080929 5673132675 5688341073 5791420215 5874844059 5932475883 6706048725 6925919175 6993861975 7070327915 7139687355 7223168925 7242532623 7373775465 7446111705 7479992709 7553370933 7690246515 8904753225 9090421605 9255150275 9286931475 9388468215 9480568455 9617133483 9652367025 9791406765 9887459805 9995562297 10424556387 11899478925 12070887705 12289625775 12322571509 12410186175 12466654515 12588951555 12726590247 12817077525 12851437239 13001704065 13272795837 13403001069 13842443727 15150702675 15647447025 15800947425 16028555805 16319011275 16362758889 16479099675 16659270495 16899242787 17019398025 17065023219 17374260645 17624532177 20118146175 20777757525 20981585925 21210983745 21419062065 21669506775 21727597869 22121326395 22338335115 22439978127 22660112799 23070739545 26714259675 27271264815 27765450825 28165404645 28441705365 28851400449 28957101075 29374220295 29662379415 29986686891 31273669161 35351639575 35698436775 36212663115 36868877325 36967714527 37230558525 37399963545 37766854665 38179770741 38451232575 38554311717 39818387511 40209003207 41527331181 45452108025 46942341075 47402842275 48085667415 48957033825 49088276667 49437299025 49977811485 50697728361 51195069657 52122781935 52873596531 60354438525 61612857545 62333272575 62944757775 63632951235 64257186195 65008520325 65182793607 66363979185 67015005345 67319934381 69212218635 80142779025 81813794445 83296352475 84496213935 85325116095 86258000563 86554201347 86871303225 88122660885 89960060673 93821007483 106054918725 107095310325 108637989345 110606631975 110903143581 111691675575 112199890635 113300563995 114539312223 115353697725 115662935151 119455162533 120627009621 136356324075 140827023225 142208526825 144257002245 146871101475 147264830001 148311897075 149933434455 152093185083 153585208971 156368345805 158620789593 181063315575 184838572635 186999817725 188834273325 190898853705 192771558585 195548380821 199091937555 201045016035 201959803143 207636655905 240428337075 245441383335 249889057425 253488641805 255975348285 258774001689 260613909675 264367982655 269880182019 281463022449 308064287725 318164756175 321285930975 325913968035 331819895925 332709430743 335075026725 336599671905 343617936669 346061093175 346988805453 358365487599 361881028863 409068972225 422481069675 426625580475 431290002815 432771006735 440613304425 441794490003 449800303365 456279555249 460755626913 469105037415 543189946725 554515717905 560999453175 566502819975 572696561115 578314675755 586645142463 597275812665 603135048105 605879409429 721285011225 736324150005 749667172275 760465925415 767926044855 776322005067 781841729025 793103947965 809640546057 844389067347 924192863175 954494268525 963857792925 977741904105 995459687775 998128292229 1005225080175 1009799015715 1030853810007 1038183279525 1040966416359 1075096462797 1227206916675 1267443209025 1279876741425 1293870008445 1321839913275 1325383470009 1349400910095 1368838665747 1382266880739 1407315112245 1629569840175 1663547153715 1682998359525 1718089683345 1734944027265 1759935427389 1791827437995 1809405144315 2156450014075 2163855033675 2208972450015 2249001516825 2281397776245 2303778134565 2328966015201 2345525187075 2428921638171 2533167202041 2772578589525 2863482805575 2891573378775 2933225712315 2986379063325 2994384876687 3015675240525 3029397047145 3092561430021 3122899249077 3225289388391 3681620750025 3802329627075 3839630224275 3881610025335 3965519739825 3976150410027 4048202730285 4106515997241 4221945336735 4888709520525 4990641461145 5048995078575 5154269050035 5204832081795 5279806282167 5375482313985 6469350042225 6626917350045 6747004550475 6844193328735 6911334403695 6986898045603 7036575561225 7286764914513 8317735768575 8590448416725 8674720136325 8799677136945 8959137189975 8983154630061 9047025721575 9277684290063 9368697747231 9675868165173 11044862250075 11406988881225 11518890672825 11644830076005 11928451230081 12144608190855 12319547991723 12665836010205 14666128561575 14971924383435 15146985235725 15462807150105 15614496245385 16126446941955 19408050126675 19880752050135 20241013651425 20532579986205 20960694136809 21109726683675 21860294743539 24953207305725 25771345250175 26024160408975 26399031410835 26877411569925 26949463890183 27833052870189 28106093241693 33134586750225 34220966643675 34556672018475 34934490228015 35785353690243 36433824572565 36958643975169 43998385684725 44915773150305 46388421450315 46843488736155 48379340825865 58224150380025 59642256150405 60723040954275 61597739958615 62882082410427 63329180051025 65580884230617 74859621917175 77314035750525 78072481226925 80632234709775 80848391670549 83499158610567 84318279725079 99403760250675 102662899931025 104803470684045 107356061070729 109301473717695 131995157054175 134747319450915 139165264350945 140530466208465 174672451140075 178926768451215 182169122862825 184793219875845 188646247231281 196742652691851 224578865751525 231942107251575 234217443680775 241896704129325 242545175011647 250497475831701 298211280752025 307988699793075 314410412052135 322068183212187 327904421153085 404241958352745 417495793052835 421591398625395 524017353420225 536780305353645 546507368588475 565938741693843 590227958075553 673736597254575 695826321754725 702652331042325 727635525034941 751492427495103 894633842256075 923966099379225 943231236156405 983713263459255 1212725875058235 1252487379158505 1572052060260675 1610340916060935 1639522105765425 1697816225081529 2021209791763725 2087478965264175 2107956993126975 2182906575104823 2254477282485309 2683901526768225 2829693708469215 2951139790377765 3638177625174705 3757462137475515 4716156180782025 4918566317296275 5093448675244587 6063629375291175 6262436895792525 6548719725314469 8051704580304675 8489081125407645 10914532875524115 11272386412426545 14148468542346075 14755698951888825 15280346025733761 18190888125873525 18787310687377575 19646159175943407 25467243376222935 32743598626572345 42445405627038225 45841038077201283 54572664377620575 56361932062132725 76401730128668805 98230795879717035 127336216881114675 137523114231603849 163717993132861725 229205190386006415 382008650643344025 491153979398585175 687615571158019245 1146025951930032075 3438077855790096225
- Sum of all divisors σ(n): 7462201338028594304
- Sum of proper divisors (its aliquot sum) s(n): 4024123482238498079
- 3438077855790096225 is an abundant number, because the sum of its proper divisors (4024123482238498079) is greater than itself. Its abundance is 586045626448401854
Bases of 3438077855790096225
- Binary: 101111101101101000000110011000000110001000000101011111011000012
- Hexadecimal: 0x2FB6819818815F61
- Base-36: Q4COVUNHR529
Squares and roots of 3438077855790096225
- 3438077855790096225 squared (34380778557900962252) is 11820379342474225694607446794759250625
- 3438077855790096225 cubed (34380778557900962253) is 40639384464399333365458723624259856199635043077641390625
-
The
square root of 3438077855790096225 is 1854205451.3429994295 -
The
cube root of 3438077855790096225 is 1509287.2468802733
Scales and comparisons
How big is 3438077855790096225?- 3,438,077,855,790,096,225 seconds is equal to 109,320,241,141 years, 3 weeks, 3 days, 8 hours, 3 minutes, 45 seconds.
-
To count from 1 to 3,438,077,855,790,096,225 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 3438077855790096225 cubic inches would be around 125773.9 feet tall.
Recreational maths with 3438077855790096225
- 3438077855790096225 backwards is 5226900975587708343
- The number of decimal digits it has is: 19
- The sum of 3438077855790096225's digits is 90
- More coming soon!
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"Number 3438077855790096225 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 3438077855790096225 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/3438077855790096225/
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The information we have on file for 3438077855790096225 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 3438077855790096225, math, Factors of 3438077855790096225, curriculum, school, college, exams, university, Prime factorization of 3438077855790096225, STEM, science, technology, engineering, physics, economics, calculator, three quintillion, four hundred thirty-eight quadrillion, seventy-seven trillion, eight hundred fifty-five billion, seven hundred ninety million, ninety-six thousand, two hundred twenty-five.