42901312513338125
42,901,312,513,338,125 is an odd composite number composed of five prime numbers multiplied together.
What does the number 42901312513338125 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
42901312513338125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 42901312513338125:
54 × 75 × 113 × 313 × 103
(5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 31 × 31 × 31 × 103)See below for interesting mathematical facts about the number 42901312513338125 from the Numbermatics database.
Names of 42901312513338125
- Cardinal: 42901312513338125 can be written as Forty-two quadrillion, nine hundred one trillion, three hundred twelve billion, five hundred thirteen million, three hundred thirty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.2901312513338125 × 1016
Factors of 42901312513338125
Divisors of 42901312513338125
- Number of divisors d(n): 960
-
Complete list of divisors:
1 5 7 11 25 31 35 49 55 77 103 121 125 155 175 217 245 275 341 343 385 515 539 605 625 721 775 847 875 961 1085 1133 1225 1331 1375 1519 1705 1715 1925 2387 2401 2575 2695 3025 3193 3605 3751 3773 3875 4235 4375 4805 5047 5425 5665 5929 6125 6655 6727 6875 7595 7931 8525 8575 9317 9625 10571 10633 11935 12005 12463 12875 13475 15125 15965 16709 16807 18025 18755 18865 19375 21175 22351 24025 25235 26257 26411 27125 28325 29645 29791 30625 33275 33635 35123 35329 37975 39655 41261 41503 42625 42875 46585 47089 48125 52855 53165 55517 59675 60025 62315 64375 65219 67375 73997 74431 75625 79825 83545 84035 87241 90125 93775 94325 98983 105875 111755 116281 116963 120125 126175 131285 132055 135625 137093 141625 148225 148955 156457 166375 168175 175615 176645 183799 184877 189875 198275 206305 207515 208537 213125 214375 232925 235445 245861 247303 264275 265825 277585 288827 290521 298375 300125 311575 326095 327701 329623 336875 369985 372155 386353 388619 399125 417725 420175 436205 450625 456533 468875 471625 494915 517979 521017 529375 558775 581405 584815 600625 610687 630875 656425 660275 685465 692881 708125 741125 744775 782285 813967 818741 831875 840875 878075 883225 918995 924385 949375 959651 991375 1031525 1037575 1042685 1088813 1095199 1164625 1177225 1229305 1236515 1279091 1286593 1321375 1329125 1387925 1444135 1452605 1459759 1491875 1500625 1557875 1630475 1638505 1648115 1721027 1731121 1849925 1860775 1931765 1943095 1995625 2021789 2033647 2088625 2100875 2181025 2282665 2293907 2307361 2344375 2358125 2474575 2589895 2605085 2704471 2720333 2793875 2907025 2924075 3053435 3068473 3154375 3195731 3282125 3301375 3427325 3464405 3604711 3625853 3705625 3723875 3911425 4069835 4093705 4204375 4249883 4274809 4390375 4416125 4594975 4621925 4798255 4850167 4956875 5157625 5187875 5213425 5444065 5475995 5697769 5731187 5823125 5886125 6146525 6182575 6395455 6432965 6606875 6645625 6717557 6939625 7220675 7263025 7298795 7621691 7666393 7789375 8152375 8192525 8240575 8605135 8655605 8953637 9006151 9249625 9303875 9658825 9715475 10108945 10168235 10218313 10443125 10504375 10905125 11413325 11469535 11536805 11976943 12047189 12372875 12949475 13025425 13522355 13601665 13969375 14152523 14535125 14620375 15267175 15342365 15978655 16057349 16151527 16410625 16506875 17136625 17322025 18023555 18129265 18619375 18931297 19042331 19557125 20349175 20468525 21249415 21374045 21479311 21951875 22080625 22370117 22974875 23109625 23991275 24250835 25232977 25380971 25788125 25939375 26067125 27220325 27379975 28488845 28655935 29430625 29749181 29923663 30732625 30912875 31977275 32164825 33587785 33753203 33951169 34698125 36103375 36315125 36493975 38108455 38331965 39651821 39884383 40761875 40962625 41202875 43025675 43278025 44768185 45030755 46248125 46519375 47022899 48294125 48577375 50544725 50841175 51091565 53351837 53664751 54525625 57066625 57347675 57684025 59884715 60235945 61864375 62675459 63043057 64747375 65127125 67611775 68008325 70762615 71528191 72675625 73101875 76335875 76711825 79893275 80286745 80757635 83838601 84330323 85683125 86610125 90117775 90646325 94656485 95211655 97785625 99067661 101745875 102342625 106247075 106870225 107396555 111850585 112401443 114874375 115548125 119956375 121254175 126164885 126904855 130335625 131746373 132519079 136101625 136899875 142444225 143279675 148745905 149618315 150355177 153663125 154564375 159886375 160824125 167938925 168766015 169755845 176630839 177666797 180516875 181575625 182469875 190542275 191659825 198259105 199421915 204813125 206014375 208244267 209465641 215128375 216390125 223840925 225153775 235114495 236272421 237658183 241470625 242886875 252723625 254205875 255457825 266759185 268323755 277562747 279190681 285333125 286738375 288420125 299423575 301179725 313377295 315215285 323736875 325635625 329160293 338058875 340041625 353813075 357640955 371285233 373462859 381679375 383559125 399466375 401433725 403788175 419193005 421651615 433050625 438728213 450588875 453231625 473282425 476058275 495338305 500697337 508729375 511713125 531235375 534351125 536982775 559252925 562007215 586870207 590312261 599781875 606270875 630824425 634524275 658731865 662595395 680508125 684499375 693473627 712221125 716398375 743729525 748091575 751775885 786810101 799431875 804120625 839694625 843830075 848779225 883154195 888333985 912349375 922224611 927633553 952711375 958299125 991295525 997109575 1041221335 1047328205 1052486239 1075641875 1081950625 1119204625 1125768875 1175572475 1181362105 1188290915 1236415873 1263618125 1271029375 1277289125 1333795925 1341618775 1387813735 1395953405 1433691875 1442100625 1457709869 1497117875 1505898625 1566886475 1576076425 1645801465 1653906947 1663607281 1690294375 1700208125 1769065375 1788204775 1856426165 1867314295 1917795625 1942939229 1954334767 1997331875 2007168625 2018940875 2095965025 2108258075 2193641065 2252944375 2266158125 2304122051 2366412125 2380291375 2476691525 2503486685 2598996631 2614240013 2656176875 2671755625 2684913875 2796264625 2810036075 2934351035 2951561305 3031354375 3071097491 3154122125 3172621375 3293659325 3312976975 3467368135 3561105625 3581991875 3718647625 3740457875 3758879425 3934050505 4084137563 4108091449 4198473125 4219150375 4243896125 4415770975 4441669925 4611123055 4638167765 4763556875 4791495625 4956477625 4985547875 5206106675 5236641025 5262431195 5507670707 5596023125 5628844375 5877862375 5906810525 5941454575 6182079365 6386445625 6455572277 6493434871 6668979625 6708093875 6939068675 6979767025 7288549345 7367403673 7485589375 7529493125 7834432375 7880382125 8229007325 8269534735 8318036405 8654911111 8845326875 8941023875 9282130825 9336571475 9714696145 9771673835 10035843125 10094704375 10203969083 10479825125 10541290375 10968205325 11520610255 11577348629 11832060625 11901456875 12383457625 12517433425 12994983155 13071200065 13424569375 13600574603 13981323125 14050180375 14671755175 14757806525 15355487455 15770610625 15863106875 16468296625 16564884875 17336840675 18192976417 18299680091 18593238125 18702289375 18794397125 19670252525 20420687815 20540457245 21095751875 21219480625 21497682437 22078854875 22208349625 23055615275 23190838825 24782388125 24927739375 26030533375 26183205125 26312155975 27538353535 28588962941 28756640143 29389311875 29534052625 29707272875 30910396825 32277861385 32467174355 33344898125 33540469375 34695343375 34898835125 36442746725 36837018365 39172161875 39401910625 41145036625 41347673675 41590182025 43274555555 44705119375 45189005939 46410654125 46682857375 48573480725 48858369175 51019845415 51571825711 52399125625 52706451875 54841026625 57603051275 57886743145 60584377777 61917288125 62587167125 64974915775 65356000325 68002873015 70250901875 71427783581 73358775875 73789032625 76777437275 81041440403 82341483125 82824424375 86684203375 90964882085 91498400455 93971985625 95204022221 98351262625 102103439075 102702286225 107488412185 110394274375 111041748125 115278076375 115954194125 127350834919 130152666875 130916025625 131560779875 137691767675 142944814705 143783200715 147670263125 148536364375 154551984125 161389306925 162335871775 173476716875 174494175625 182213733625 184185091825 200122740587 201296481001 205725183125 206738368375 207950910125 216372777775 225945029695 232053270625 233414286875 242867403625 244291845875 255099227075 257859128555 274205133125 288015256375 289433715725 302921888885 312935835625 316323041573 324874578875 326780001625 340014365075 357138917905 366793879375 368945163125 383887186375 405207202015 433421016875 454824410425 457492002275 476020111105 491756313125 510517195375 513511431125 537442060925 567290082821 576390381875 579770970625 636754174595 657803899375 666428155547 688458838375 714724073525 718916003575 772759920625 806946534625 811679358875 891455844433 911068668125 920925459125 1000613702935 1006482405005 1033691841875 1039754550625 1081863888875 1129725148475 1214337018125 1221459229375 1275496135375 1289295642775 1400859184109 1440076281875 1447168578625 1514609444425 1581615207865 1624372894375 1633900008125 1700071825375 1785694589525 1919435931875 2026036010075 2214261291011 2274122052125 2287460011375 2380100555525 2552585976875 2567557155625 2687210304625 2836450414105 3183770872975 3332140777735 3442294191875 3573620367625 3594580017875 4034732673125 4058396794375 4457279222165 4604627295625 5003068514675 5032412025025 5409319444375 5648625742375 6240190911031 6377480676875 6446478213875 7004295920545 7235842893125 7573047222125 7908076039325 8500359126875 8928472947625 9806014288763 10130180050375 11071306455055 11370610260625 11437300056875 11900502777625 13436051523125 14182252070525 15918854364875 16660703888675 17868101838125 17972900089375 22286396110825 25015342573375 25162060125125 28243128711875 31200954555155 32232391069375 35021479602725 37865236110625 39540380196625 44642364738125 49030071443815 50650900251875 55356532275275 59502513888125 68642100021341 70911260352625 79594271824375 83303519443375 111431980554125 125076712866875 125810300625625 156004772775775 175107398013625 197701900983125 245150357219075 276782661376375 343210500106705 354556301763125 416517597216875 557159902770625 780023863878875 875536990068125 1225751786095375 1383913306881875 1716052500533525 3900119319394375 6128758930476875 8580262502667625 42901312513338125
- Sum of all divisors σ(n): 71776751421652992
- Sum of proper divisors (its aliquot sum) s(n): 28875438908314867
- 42901312513338125 is a deficient number, because the sum of its proper divisors (28875438908314867) is less than itself. Its deficiency is 14025873605023258
Bases of 42901312513338125
- Binary: 100110000110101010000100001101001100000101101011000011012
- Hexadecimal: 0x986A8434C16B0D
- Base-36: BQF8UVZDL3H
Squares and roots of 42901312513338125
- 42901312513338125 squared (429013125133381252) is 1840522615367102387756030578515625
- 42901312513338125 cubed (429013125133381253) is 78960835909730482465710974144143019617876220703125
-
The
square root of 42901312513338125 is 207126320.1849009941 -
The
cube root of 42901312513338125 is 350071.5840339693
Scales and comparisons
How big is 42901312513338125?- 42,901,312,513,338,125 seconds is equal to 1,364,129,035 years, 23 weeks, 3 days, 9 hours, 2 minutes, 5 seconds.
-
To count from 1 to 42,901,312,513,338,125 would take you about four billion, ninety-two million, three hundred eighty-seven thousand, one hundred six 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 42901312513338125 cubic inches would be around 29172.6 feet tall.
Recreational maths with 42901312513338125
- 42901312513338125 backwards is 52183331521310924
- The number of decimal digits it has is: 17
- The sum of 42901312513338125's digits is 53
- More coming soon!
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The information we have on file for 42901312513338125 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 42901312513338125, math, Factors of 42901312513338125, curriculum, school, college, exams, university, Prime factorization of 42901312513338125, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, nine hundred one trillion, three hundred twelve billion, five hundred thirteen million, three hundred thirty-eight thousand, one hundred twenty-five.