428139400528125
428,139,400,528,125 is an odd composite number composed of seven prime numbers multiplied together.
428139400528125 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 428139400528125:
33 × 55 × 112 × 13 × 19 × 412 × 101
(3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 13 × 19 × 41 × 41 × 101)See below for interesting mathematical facts about the number 428139400528125 from the Numbermatics database.
Names of 428139400528125
- Cardinal: 428139400528125 can be written as Four hundred twenty-eight trillion, one hundred thirty-nine billion, four hundred million, five hundred twenty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.28139400528125 × 1014
Factors of 428139400528125
Divisors of 428139400528125
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 3 5 9 11 13 15 19 25 27 33 39 41 45 55 57 65 75 95 99 101 117 121 123 125 135 143 165 171 195 205 209 225 247 275 285 297 303 325 351 363 369 375 429 451 475 495 505 513 533 585 605 615 625 627 675 715 741 779 825 855 909 975 1025 1045 1089 1107 1111 1125 1235 1287 1313 1353 1375 1425 1485 1515 1573 1599 1625 1681 1755 1815 1845 1875 1881 1919 2145 2223 2255 2299 2337 2375 2475 2525 2565 2665 2717 2727 2925 3025 3075 3125 3135 3267 3333 3375 3575 3705 3861 3895 3939 4059 4125 4141 4275 4545 4719 4797 4875 4961 5043 5125 5225 5445 5535 5555 5625 5643 5757 5863 6175 6435 6565 6669 6765 6875 6897 7011 7125 7425 7575 7865 7995 8125 8151 8405 8569 8775 9075 9225 9375 9405 9595 9999 10127 10725 11115 11275 11495 11685 11817 11875 12177 12221 12375 12423 12625 12825 13325 13585 13635 14157 14391 14443 14625 14883 15125 15129 15375 15675 16335 16665 16875 17271 17589 17875 18491 18525 19305 19475 19695 20295 20625 20691 20705 21033 21109 21375 21853 22725 23595 23985 24375 24453 24805 24947 25215 25625 25707 26125 27225 27675 27775 28125 28215 28785 29315 29887 29997 30381 30875 31939 32175 32825 33345 33825 34375 34485 35055 35451 35625 36663 37125 37269 37875 39325 39975 40625 40755 42025 42471 42845 43329 43875 44649 45375 45387 45551 46125 47025 47975 49995 50635 51813 52767 53625 53833 55473 55575 56375 57475 58425 59085 59375 60885 61105 61875 62073 62115 63125 63327 64125 64493 65559 66625 67925 68175 70785 71955 72215 73125 73359 74415 74841 75625 75645 76875 77121 78375 78679 81675 83325 84375 86355 87945 89375 89661 91143 92455 92625 94259 95817 96525 97375 98475 101475 103125 103455 103525 105165 105545 106875 109265 109989 111397 111807 113625 117975 119925 121875 122265 124025 124735 126075 128125 128535 129987 130625 133947 136125 136653 138375 138875 141075 143925 146575 149435 149985 151905 154375 158301 158873 159695 160875 161499 164125 166419 166725 169125 169781 172425 175275 177255 178125 183315 185625 186345 189375 189981 193479 196625 196677 199875 203401 203775 210125 212355 214225 216645 219375 223245 224523 226875 226935 227755 230625 231363 232199 235125 236037 239875 240383 249975 253175 259065 263835 268125 268983 269165 273429 274417 277365 277875 281875 282777 287375 287451 292125 295425 304425 305525 309375 310365 310575 315625 316635 320625 322465 327795 329967 333125 334191 339625 340875 351329 353925 359775 361075 365625 366795 372075 374205 378125 378225 384375 385605 389961 391875 393395 408375 409959 415207 416625 431775 439725 446875 448305 455715 462275 463125 471295 476619 479085 482625 484497 486875 492375 499257 501061 507375 509343 517275 517625 525825 527725 534375 546325 549945 556985 559035 568125 569943 580437 589875 590031 592163 599625 610203 611325 620125 623675 630375 642675 649935 653125 669735 673569 680625 683265 691875 694375 696597 705375 708111 719625 721149 732875 747175 749925 759525 771875 791505 794365 798475 804375 806949 807495 820625 823251 832095 833625 845625 848331 848905 862125 862353 865469 876375 886275 916575 928125 931725 946875 949905 967395 983125 983385 999375 1002573 1017005 1018875 1022827 1050625 1053987 1061775 1071125 1083225 1096875 1116225 1122615 1134375 1134675 1138775 1153125 1156815 1160995 1175625 1180185 1199375 1201915 1225367 1229877 1245621 1249875 1265875 1295325 1319175 1340625 1344915 1345825 1367145 1372085 1386825 1389375 1409375 1413885 1429857 1436875 1437255 1453491 1460625 1477125 1503183 1522125 1527625 1528029 1551825 1552875 1583175 1603125 1612325 1638975 1649835 1665625 1670955 1698125 1704375 1741311 1756645 1769625 1776489 1798875 1805375 1830609 1833975 1860375 1867591 1871025 1891125 1928025 1949805 1959375 1966975 2041875 2049795 2076035 2083125 2089791 2124333 2158875 2163447 2198625 2207153 2241525 2278575 2311375 2315625 2356475 2383095 2395425 2413125 2422485 2434375 2461875 2469753 2496285 2505305 2536875 2544993 2546715 2586375 2588125 2596407 2629125 2638625 2644213 2731625 2749725 2784925 2795175 2840625 2849715 2902185 2949375 2950155 2960815 2998125 3007719 3018587 3051015 3056625 3068481 3100625 3118375 3151875 3161961 3213375 3225839 3249675 3348675 3367845 3403125 3416325 3459375 3471875 3482985 3526875 3540555 3598125 3605745 3664375 3676101 3735875 3736863 3749625 3797625 3864619 3957525 3971825 3992375 4021875 4034745 4037475 4103125 4116255 4160475 4168125 4228125 4241655 4244525 4289571 4310625 4311765 4327345 4381875 4431375 4509549 4567277 4582875 4584087 4658625 4749525 4836975 4915625 4916925 4996875 5012865 5085025 5094375 5114135 5253125 5269935 5308875 5329467 5355625 5416125 5491827 5581125 5602773 5613075 5673375 5693875 5784075 5804975 5878125 5900925 5996875 6009575 6126835 6149385 6228105 6249375 6269373 6329375 6476625 6490341 6513793 6595875 6621459 6724575 6729125 6835725 6860425 6934125 6946875 7069425 7149285 7184375 7186275 7267455 7303125 7385625 7409259 7515915 7610625 7638125 7640145 7759125 7764375 7789221 7915875 7932639 8061625 8194875 8249175 8354775 8490625 8521875 8706555 8783225 8848125 8882445 8994375 9026875 9055761 9153045 9169875 9205443 9301875 9337955 9355125 9455625 9485883 9520159 9640125 9677517 9749025 9834875 10209375 10248975 10380175 10415625 10448955 10621665 10794375 10817235 10993125 11028303 11035765 11207625 11210589 11251097 11392875 11556875 11593857 11782375 11915475 11977125 12065625 12112425 12309375 12348765 12481425 12526525 12684375 12724965 12733575 12931875 12940625 12982035 13145625 13193125 13221065 13528647 13658125 13701831 13748625 13924625 13975875 14248575 14510925 14746875 14750775 14804075 14990625 15038595 15092935 15255075 15283125 15342405 15503125 15591875 15759375 15809805 15988401 16066875 16129195 16248375 16743375 16808319 16839225 17081625 17414925 17634375 17702775 17990625 18028725 18321875 18380505 18679375 18684315 18748125 18988125 19323095 19541379 19787625 19859125 19864377 19961875 20173725 20187375 20543501 20581275 20802375 20840625 21208275 21222625 21447855 21553125 21558825 21636725 21909375 22156875 22547745 22836385 22914375 22920435 23293125 23367663 23747625 23797917 24184875 24278683 24584625 25064325 25425125 25471875 25570675 26349675 26544375 26647335 26778125 27080625 27167283 27459135 27616329 27905625 28013865 28065375 28366875 28469375 28560477 28920375 29024875 29032551 29504625 30047875 30634175 30746925 31140525 31246875 31346865 31646875 32383125 32451705 32568965 32979375 33084909 33107295 33622875 33645625 33753291 34178625 34302125 34670625 34781571 35347125 35484229 35746425 35931375 36337275 36928125 37046295 37579575 38053125 38190625 38200725 38795625 38821875 38946105 39579375 39663195 40308125 40974375 41105493 41245875 41773875 41935907 43532775 43916125 44240625 44412225 44971875 45134375 45278805 45765225 45849375 46027215 46509375 46689775 46775625 47278125 47429415 47600795 48200625 48387585 48745125 49174375 50240047 50424957 51244875 51900875 52244775 53108325 53971875 54086175 54965625 55141515 55178825 56038125 56052945 56255485 56964375 57784375 57969285 58624137 58911875 59577375 59593131 59885625 60562125 61630503 61743825 62407125 62632625 63624825 63667875 64659375 64910175 65728125 65965625 66105325 67643235 68290625 68509155 68743125 69623125 69879375 71242875 71393751 72554625 72836049 73753875 74020375 75192975 75464675 76275375 76415625 76712025 77959375 79049025 79942005 80334375 80645975 81241875 81501849 83716875 84041595 84196125 85408125 85681431 87074625 87097653 88513875 90143625 91902525 93396875 93421575 93740625 94940625 96615475 97706895 98938125 99295625 99321885 99809375 100868625 100936875 101259873 102717505 102906375 104011875 104344713 106041375 106113125 106452687 107239275 107794125 108183625 110784375 112738725 114181925 114571875 114602175 116465625 116838315 118738125 118989585 120924375 121393415 122923125 123316479 123762067 125321625 125807721 127125625 127853375 131748375 132721875 133236675 135403125 135836415 137295675 138081645 139528125 140069325 140326875 141834375 142346875 142802385 144601875 145124375 145162755 147523125 150239375 150720141 153170875 153734625 155702625 156734325 161915625 162258525 162844825 164896875 165424545 165536475 168114375 168228125 168766455 170893125 171510625 173353125 173907855 175872411 176735625 177421145 178732125 179656875 181686375 184891509 185231475 187897875 191003625 193978125 194730525 197896875 198315975 201540625 204871875 205527465 206229375 208869375 209679535 217663875 218508147 219580625 222061125 226394025 228826125 229246875 230136075 233448875 233878125 237147075 238003975 241003125 241937925 243725625 245871875 251200235 252124785 256224375 257044293 259504375 261223875 265541625 267065513 270430875 275707575 275894125 280190625 280264725 281277425 284821875 289846425 293120685 294559375 297886875 297965655 299428125 302810625 303779619 308152515 308719125 312035625 313163125 318124125 318339375 319358061 324550875 330526625 338216175 342545775 343715625 348115625 349396875 356214375 356968755 362773125 364180245 368769375 370101875 371286201 375964875 377323375 377423163 381376875 383560125 390326519 395245125 399710025 403229875 406209375 407509245 418584375 420207975 420980625 427040625 428407155 435373125 435488265 442569375 450718125 452160423 459512625 461294977 467107875 483077375 488534475 494690625 496478125 496609425 504343125 504684375 506299365 513587525 514531875 520059375 521723565 530206875 530565625 532263435 536196375 538970625 540918125 554674527 563693625 570909625 573010875 584191575 593690625 594947925 604621875 606967075 614615625 616582395 618810335 626608125 629038605 635628125 639266875 655524441 658741875 666183375 679182075 686478375 690408225 700346625 701634375 714011925 723009375 725621875 725813775 737615625 751196875 753600705 765854375 768673125 778513125 783671625 801196539 811292625 814224125 827122725 827682375 840571875 843832275 854465625 857553125 869539275 879362055 883678125 887105725 893660625 898284375 908431875 924457545 926157375 939489375 955018125 958074183 973652625 991579875 1027637325 1031146875 1044346875 1048397675 1088319375 1092540735 1097903125 1110305625 1113858603 1131970125 1132269489 1144130625 1150680375 1167244375 1170979557 1185735375 1190019875 1209689625 1218628125 1256001175 1260623925 1281121875 1285221465 1297521875 1306119375 1327708125 1335327565 1352154375 1356481269 1378537875 1379470625 1383884931 1401323625 1406387125 1449232125 1465603425 1489434375 1489828275 1514053125 1518898095 1540762575 1543595625 1560178125 1565815625 1590620625 1591696875 1596790305 1622754375 1652633125 1691080875 1712728875 1781071875 1784843775 1813865625 1820901225 1843846875 1850509375 1856431005 1879824375 1886616875 1887115815 1906884375 1917800625 1951632595 1976225625 1998550125 2016149375 2037546225 2101039875 2104903125 2142035775 2176865625 2177441325 2212846875 2253590625 2260802115 2297563125 2306474885 2335539375 2403589617 2415386875 2442672375 2483047125 2521715625 2531496825 2567937625 2572659375 2608617825 2651034375 2661317175 2680981875 2694853125 2704590625 2773372635 2818468125 2854548125 2865054375 2920957875 2974739625 3034835375 3082911975 3094051675 3133040625 3145193025 3196334375 3277622205 3293709375 3330916875 3341575809 3395910375 3432391875 3452041125 3501733125 3512938671 3570059625 3629068875 3768003525 3829271875 3843365625 3892565625 3918358125 4005982695 4056463125 4071120625 4135613625 4138411875 4151654793 4219161375 4347696375 4396810275 4435528625 4468303125 4542159375 4622287725 4630786875 4697446875 4775090625 4790370915 4868263125 4957899375 5074244747 5138186625 5241988375 5441596875 5462703675 5551528125 5569293015 5659850625 5661347445 5720653125 5753401875 5836221875 5854897785 5928676875 5950099375 6048448125 6280005875 6303119625 6426107325 6530596875 6638540625 6676637825 6760771875 6782406345 6892689375 6897353125 6919424655 7006618125 7031935625 7210768851 7246160625 7328017125 7449141375 7594490475 7703812875 7717978125 7953103125 7983951525 8113771875 8263165625 8455404375 8563644375 8924218875 9104506125 9282155025 9399121875 9433084375 9435579075 9589003125 9758162975 9881128125 9992750625 10080746875 10187731125 10505199375 10538816013 10710178875 10887206625 11304010575 11487815625 11532374425 11677696875 12017948085 12076934375 12213361875 12415235625 12454964379 12657484125 12839688125 13043089125 13306585875 13404909375 13866863175 14092340625 14272740625 14325271875 14604789375 14873698125 15174176875 15222734241 15414559875 15470258375 15725965125 16388111025 16654584375 16707879045 16979551875 17161959375 17260205625 17508665625 17564693355 17850298125 18145344375 18840017625 19591790625 20029913475 20282315625 20355603125 20678068125 20692059375 20758273965 21095806875 21738481875 21984051375 22177643125 23111438625 23153934375 23951854575 24341315625 24789496875 25371223735 25690933125 26209941875 27313518375 27846465075 28299253125 28306737225 28767009375 29274488925 29643384375 29750496875 30242240625 31400029375 31515598125 32130536625 33383189125 33912031725 34463446875 34597123275 35033090625 35159678125 36053844255 36230803125 36640085625 37245706875 37972452375 38519064375 39919757625 42277021875 42818221875 44621094375 45522530625 45668202723 46410775125 47177895375 48790814875 49963753125 50938655625 52525996875 52694080065 53550894375 54436033125 56520052875 57661872125 60089740425 61066809375 62076178125 62274821895 63287420625 64198440625 65215445625 66532929375 69334315875 73023946875 74368490625 75870884375 76113671205 77072799375 77351291875 78629825625 81940555125 83539395225 84897759375 86301028125 87823466775 89251490625 90726721875 94200088125 100149567375 103390340625 103791369825 105479034375 108692409375 109920256875 110888215625 115557193125 119759272875 126856118675 128454665625 131049709375 136567591875 137004608169 139232325375 141533686125 146372444625 157000146875 157577990625 160652683125 166915945625 169560158625 172985616375 180269221275 183200428125 186228534375 189862261875 192595321875 199598788125 223105471875 227612653125 228341013615 232053875625 235889476875 243954074375 254693278125 263470400325 267754471875 272180165625 282600264375 288309360625 300448702125 311374109475 316437103125 326077228125 332664646875 346671579375 380568356025 385363996875 386756459375 393149128125 409702775625 417696976125 439117333875 471000440625 500747836875 518956849125 549601284375 577785965625 598796364375 634280593375 682837959375 685023040845 696161626875 707668430625 731862223125 803263415625 834579728125 847800793125 864928081875 901346106375 949311309375 997993940625 1141705068075 1160269378125 1179447384375 1219770371875 1317352001625 1413001321875 1441546803125 1502243510625 1556870547375 1733357896875 1902841780125 2048513878125 2088484880625 2195586669375 2503739184375 2594784245625 2993981821875 3171402966875 3425115204225 3480808134375 3538342153125 3659311115625 4239003965625 4324640409375 4506730531875 5708525340375 6586760008125 7511217553125 7784352736875 9514208900625 10442424403125 10977933346875 12973921228125 15857014834375 17125576021125 22533652659375 28542626701875 32933800040625 38921763684375 47571044503125 85627880105625 142713133509375 428139400528125
- Sum of all divisors σ(n): 1022556589689600
- Sum of proper divisors (its aliquot sum) s(n): 594417189161475
- 428139400528125 is an abundant number, because the sum of its proper divisors (594417189161475) is greater than itself. Its abundance is 166277788633350
Bases of 428139400528125
- Binary: 11000010101100011111110001110001000000000111111012
- Hexadecimal: 0x18563F8E200FD
- Base-36: 47RGIWUC59
Squares and roots of 428139400528125
- 428139400528125 squared (4281394005281252) is 183303346284582241528916015625
- 428139400528125 cubed (4281394005281253) is 78479384793080349895390181887536895751953125
-
The
square root of 428139400528125 is 20691529.6807202003 -
The
cube root of 428139400528125 is 75369.4013167833
Scales and comparisons
How big is 428139400528125?- 428,139,400,528,125 seconds is equal to 13,613,508 years, 31 weeks, 6 days, 17 hours, 48 minutes, 45 seconds.
-
To count from 1 to 428,139,400,528,125 would take you about thirty-four million, thirty-three thousand, seven hundred seventy-one 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 428139400528125 cubic inches would be around 6280.8 feet tall.
Recreational maths with 428139400528125
- 428139400528125 backwards is 521825004931824
- The number of decimal digits it has is: 15
- The sum of 428139400528125's digits is 54
- More coming soon!
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"Number 428139400528125 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
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Numbermatics. (2024). Number 428139400528125 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/428139400528125/
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The information we have on file for 428139400528125 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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