128672842474510425
128,672,842,474,510,425 is an odd composite number composed of five prime numbers multiplied together.
What does the number 128672842474510425 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
128672842474510425 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 128672842474510425:
35 × 52 × 73 × 13 × 416
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 13 × 41 × 41 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 128672842474510425 from the Numbermatics database.
Names of 128672842474510425
- Cardinal: 128672842474510425 can be written as One hundred twenty-eight quadrillion, six hundred seventy-two trillion, eight hundred forty-two billion, four hundred seventy-four million, five hundred ten thousand, four hundred twenty-five.
Scientific notation
- Scientific notation: 1.28672842474510425 × 1017
Factors of 128672842474510425
Divisors of 128672842474510425
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 35 39 41 45 49 63 65 75 81 91 105 117 123 135 147 175 189 195 205 225 243 245 273 287 315 325 343 351 369 405 441 455 525 533 567 585 615 637 675 735 819 861 945 975 1025 1029 1053 1107 1215 1225 1323 1365 1435 1575 1599 1681 1701 1715 1755 1845 1911 2009 2025 2205 2275 2457 2583 2665 2835 2925 3075 3087 3159 3185 3321 3675 3731 3969 4095 4305 4459 4725 4797 5043 5145 5265 5535 5733 6027 6075 6615 6825 7175 7371 7749 7995 8405 8505 8575 8775 9225 9261 9555 9963 10045 11025 11193 11767 11907 12285 12915 13325 13377 14063 14175 14391 15129 15435 15795 15925 16605 17199 18081 18655 19845 20475 21525 21853 22113 22295 23247 23985 25215 25725 26117 26325 27675 27783 28665 30135 33075 33579 35301 36855 38745 39975 40131 42025 42189 42525 43173 45387 46305 47775 49815 50225 51597 54243 55965 58835 59535 61425 64575 65559 66885 68921 69741 70315 71955 75645 77175 78351 78975 82369 83025 83349 85995 90405 93275 99225 100737 105903 109265 110565 111475 116235 119925 120393 126075 126567 129519 130585 136161 138915 143325 150675 152971 154791 162729 167895 176505 182819 184275 193725 196677 200655 206763 210945 215865 226935 231525 235053 247107 249075 257985 271215 279825 294175 297675 302211 317709 327795 334425 344605 348705 351575 359775 361179 378225 379701 391755 408483 411845 416745 429975 452025 458913 482447 488187 503685 529515 546325 548457 552825 576583 581175 590031 601965 620289 632835 647595 652925 680805 694575 705159 741321 764855 773955 813645 839475 882525 895973 906633 914095 953127 983385 1003275 1033815 1054725 1070797 1079325 1083537 1134675 1139103 1175265 1235535 1289925 1356075 1376739 1447341 1511055 1588545 1638975 1645371 1723025 1729749 1743525 1770093 1805895 1860867 1898505 1958775 2042415 2059225 2083725 2115477 2223963 2294565 2412235 2440935 2518425 2647575 2687919 2742285 2825761 2859381 2882915 2950155 3009825 3101445 3164175 3212391 3237975 3377129 3404025 3417309 3525795 3706605 3824275 3869775 4068225 4130217 4342023 4479865 4533165 4570475 4765635 4916925 4936113 5169075 5189247 5310279 5353985 5417685 5582601 5695515 5876325 6177675 6271811 6346431 6671889 6883695 7236705 7495579 7555275 7942725 8063757 8226855 8477283 8648745 8850465 9029475 9304335 9492525 9637173 10131387 10212075 10577385 11119815 11472825 12061175 12204675 12390651 13026069 13439595 13711425 14128805 14296905 14414575 14750775 14808339 15507225 15567741 16061955 16747803 16885645 17086545 17628975 18533025 18815433 19780327 20015667 20651085 21710115 22399325 22486737 22665825 23639903 23828175 24191271 24680565 25431849 25946235 26551395 26769925 27088425 27913005 28477575 28911519 30394161 31359055 31732155 33359445 34418475 36183525 36734893 37171953 37477895 39078207 40318785 41134275 42386415 43243725 43902677 44252325 44425017 46521675 46703223 48185865 50656935 52886925 55599075 56446299 59340981 61953255 65130345 67197975 67460211 70644025 70919709 71484525 72573813 74041695 76295547 77838705 80309775 83739015 84428225 85432725 86734557 91182483 94077165 98901635 100078335 103255425 108550575 110204679 112433685 115856201 117234621 118199515 120956355 123402825 127159245 129731175 131708031 132756975 138462289 139565025 140109669 144557595 151970805 156795275 158660775 166797225 169338897 178022943 183674465 185859765 187389475 195391035 201593925 202380633 211932075 212759127 217721439 219513385 222125085 228886641 233516115 240929325 253284675 257144251 260203671 273547449 282231495 296704905 307318739 309766275 325651725 330614037 337301055 347568603 354598545 362869065 370208475 381477735 389193525 395124093 415386867 418695075 433672785 455912415 470385825 494508175 500391675 508016691 534068829 551023395 562168425 579281005 586173105 590997575 604781775 607141899 635796225 638277381 658540155 686659923 692311445 700548345 722787975 759854025 771432753 810993407 820642347 846694485 890114715 918372325 921956217 929298825 969236023 976955175 991842111 1011903165 1042705809 1063795635 1088607195 1097566925 1110625425 1144433205 1167580575 1185372279 1246160601 1285721255 1301018355 1367737245 1411157475 1483524525 1506130613 1524050073 1536593695 1602206487 1653070185 1686505275 1737843015 1772992725 1800009757 1814345325 1821425697 1907388675 1914832143 1975620465 2076934335 2168363925 2279562075 2314298259 2432980221 2540083455 2670344145 2755116975 2765868651 2896405025 2907708069 2930865525 2975526333 3035709495 3128117427 3191386905 3292700775 3433299615 3461557225 3502741725 3556116837 3738481803 3857163765 4054967035 4103211735 4233472425 4450573575 4518391839 4609781085 4750104241 4806619461 4846180115 4959210555 5059515825 5213529045 5318978175 5400029271 5443035975 5676953849 5722166025 5744496429 5926861395 6230803005 6428606275 6505091775 6838686225 6942894777 7298940663 7530653065 7620250365 7682968475 8011032435 8265350925 8297605953 8689215075 8723124207 8926578999 9000048785 9107128485 9384352281 9574160715 9878102325 10384671675 10542914291 10668350511 11215445409 11571491295 12164901105 12600068299 12700417275 13351720725 13555175517 13829343255 14250312723 14538540345 14877631665 15178547475 15640587135 15956934525 16200087813 17030861547 17166498075 17780584185 18692409015 19285818825 20274835175 20516058675 20828684331 21896821989 22591959195 23048905425 23750521205 24033097305 24230900575 24796052775 24892817859 26067645225 26169372621 27000146355 28153056843 28384769245 28722482145 29634306975 31154015025 31628742873 33250729687 33646336227 34714473885 36494703315 37653265325 37800204897 38101251825 39738676943 40055162175 40665526551 41488029765 42750938169 43615621035 44632894995 45000243925 45535642425 46921761405 47870803575 48600263439 51092584641 52714571455 53341752555 56077227045 57857456475 60824505525 61751355133 62486052993 63000341495 65690465967 67775877585 69146716275 71251563615 72692701725 73800400037 74388158325 74678453577 78202935675 78508117863 81000439065 85154307735 88902920925 93462045075 94886228619 99752189061 104143421655 109484109945 112959795975 113400614691 118752606025 119216030829 120165486525 121996579653 124464089295 128252814507 130846863105 135000731775 140765284215 141923846225 143612410725 145800790317 153277753923 158143714365 166253648435 168231681135 173572369425 182473516575 185254065399 189001024485 197071397901 198693384715 203327632755 207440148825 213754690845 218078105175 221401200111 223164474975 232755107809 234608807025 235524353589 243001317195 255462923205 263572857275 266708762775 280386135225 284658685857 299256567183 308756775665 312430264965 315001707475 328452329835 338879387925 340201844073 356257818075 357648092487 365989738959 369002000185 373392267885 384758443521 392540589315 405002195325 425771538675 432259485931 437402370951 459833261769 474431143095 498760945305 516602800259 520717108275 547420549725 555762196197 567003073455 596080154145 609982898265 622320446475 641264072535 654234315525 664203600333 698265323427 703826421075 729003951585 766388769615 790718571825 831268242175 841158405675 853976057571 897769701549 926270326995 945005122425 985356989505 993466923575 1016638163775 1020605532219 1068773454225 1072944277461 1107006000555 1154275330563 1163775539045 1177621767945 1215006585975 1277314616025 1296778457793 1379499785307 1423293429285 1496282835915 1543783878325 1549808400777 1562151324825 1629285754663 1642261649175 1667286588591 1701009220365 1788240462435 1829948694795 1845010000925 1866961339425 1923792217605 1962702946575 1992610800999 2094795970281 2161297429655 2187011854755 2299166308845 2372155715475 2493804726525 2561928172713 2583014001295 2693309104647 2778810980985 2835015367275 2980400770725 3025816401517 3049914491325 3061816596657 3206320362675 3218832832383 3321018001665 3491326617135 3645019757925 3831943848075 3890335373379 4269880287855 4488848507745 4631351634975 4649425202331 4887857263989 4926784947525 5001859765773 5103027661095 5364721387305 5535030002775 5771376652815 5818877695225 5888108839725 5977832402997 6284387910843 6483892288965 6897498926535 7116467146425 7481414179575 7749042003885 8079927313941 8146428773315 8336432942955 8505046101825 8941202312175 9077449204551 9149743473975 9618961088025 9656498497149 9963054004995 10473979851405 10806487148275 10935059273775 11495831544225 11671006120137 12809640863565 12915070006475 13466545523235 13894054904925 13948275606993 14663571791967 15005579297319 15129082007585 15309082983285 16094164161915 16605090008325 17456633085675 17933497208991 18853163732529 19451676866895 21180714810619 21349401439275 22444242538725 23247126011655 24439286319945 25009298828865 25515138305475 26823606936525 27232347613653 28856883264075 29889162014985 31421939554215 32419461444825 34487494632675 35013018360411 38745210019425 40399636569705 40732143866575 41682164714775 41844826820979 43990715375901 45387246022755 48282492485745 49815270024975 52369899257025 56559491197587 58355030600685 63542144431857 64048204317825 67332727616175 69741378034965 73317858959835 75027896486595 75645410037925 76545414916425 80470820809575 81697042840959 89667486044955 94265818662645 97258384334475 105039055081233 105903574053095 116235630058275 122196431599725 125046494144325 125534480462937 131972146127703 136161738068265 149445810074925 157109697771075 175065091802055 190626433295571 201998182848525 209224134104895 219953576879505 226936230113775 241412462428725 245091128522877 282797455987935 291775153003425 317710722159285 348706890174825 366589294799175 375139482432975 395916438383109 408485214204795 448337430224775 471329093313225 525195275406165 529517870265475 571879299886713 627672402314685 659860730638515 680808690341325 735273385568631 875325459010275 953132166477855 1046120670524475 1099767884397525 1225455642614385 1413987279939675 1588553610796425 1715637899660139 1979582191915545 2042426071023975 2625976377030825 2859396499433565 3138362011573425 3299303653192575 3676366927843155 4765660832389275 5146913698980417 6127278213071925 8578189498300695 9897910959577725 14296982497167825 18381834639215775 25734568494902085 42890947491503475 128672842474510425
- Sum of all divisors σ(n): 307665011704668800
- Sum of proper divisors (its aliquot sum) s(n): 178992169230158375
- 128672842474510425 is an abundant number, because the sum of its proper divisors (178992169230158375) is greater than itself. Its abundance is 50319326755647950
Bases of 128672842474510425
- Binary: 1110010010010001101000100101110111110111011011000010110012
- Hexadecimal: 0x1C92344BBEED859
- Base-36: Z6YPRSEZCK9
Squares and roots of 128672842474510425
- 128672842474510425 squared (1286728424745104252) is 16556700390470174111915843433680625
- 128672842474510425 cubed (1286728424745104253) is 2130397701240633958094705907107908971035502683015625
-
The
square root of 128672842474510425 is 358709969.8565826383 -
The
cube root of 128672842474510425 is 504849.9275985699 - Being both a perfect square and a perfect cube, 128672842474510425 is also a
perfect sixth number .
Scales and comparisons
How big is 128672842474510425?- 128,672,842,474,510,425 seconds is equal to 4,091,398,379 years, 23 weeks, 4 days, 15 hours, 33 minutes, 45 seconds.
-
To count from 1 to 128,672,842,474,510,425 would take you about twelve billion, two hundred seventy-four million, one hundred ninety-five thousand, one hundred thirty-eight 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 128672842474510425 cubic inches would be around 42070.8 feet tall.
Recreational maths with 128672842474510425
- 128672842474510425 backwards is 524015474248276821
- The number of decimal digits it has is: 18
- The sum of 128672842474510425's digits is 72
- More coming soon!
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"Number 128672842474510425 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 128672842474510425 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/128672842474510425/
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The information we have on file for 128672842474510425 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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