146742145147964002
146,742,145,147,964,002 is an even composite number composed of six prime numbers multiplied together.
What does the number 146742145147964002 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
146742145147964002 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 146742145147964002:
2 × 73 × 132 × 172 × 37 × 4913
(2 × 7 × 7 × 7 × 13 × 13 × 17 × 17 × 37 × 491 × 491 × 491)See below for interesting mathematical facts about the number 146742145147964002 from the Numbermatics database.
Names of 146742145147964002
- Cardinal: 146742145147964002 can be written as One hundred forty-six quadrillion, seven hundred forty-two trillion, one hundred forty-five billion, one hundred forty-seven million, nine hundred sixty-four thousand and two.
Scientific notation
- Scientific notation: 1.46742145147964002 × 1017
Factors of 146742145147964002
Divisors of 146742145147964002
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 7 13 14 17 26 34 37 49 74 91 98 119 169 182 221 238 259 289 338 343 442 481 491 518 578 629 637 686 833 962 982 1183 1258 1274 1547 1666 1813 2023 2366 2873 3094 3367 3437 3626 3757 4046 4403 4459 5746 5831 6253 6383 6734 6874 7514 8177 8281 8347 8806 8918 10693 10829 11662 12506 12691 12766 14161 16354 16562 16694 18167 20111 21386 21658 23569 24059 25382 26299 28322 30821 36334 40222 43771 44681 47138 48118 48841 52598 57239 57967 58429 61642 74851 75803 82979 87542 89362 97682 99127 106301 108511 114478 115934 116858 127169 139009 140777 141899 149702 151606 164983 165958 168413 184093 198254 212602 215747 217022 236171 241081 254338 278018 281554 283798 306397 308839 312767 329966 336826 341887 368186 400673 409003 431494 472342 482162 523957 580853 612794 617678 625534 683774 744107 759577 801346 818006 890183 973063 985439 993293 1047914 1161706 1288651 1410643 1488214 1519154 1653197 1687567 1780366 1807117 1844687 1946126 1970878 1986586 2144779 2161873 2189369 2393209 2577302 2804711 2821286 2863021 3070223 3134053 3306394 3375134 3614234 3667699 3689374 4014907 4065971 4098377 4289558 4323746 4378738 4786418 5208749 5250263 5317039 5609422 5726042 6140446 6231281 6268106 6811441 6953051 7335398 8029814 8131942 8196754 8919997 9874501 10417498 10500526 10634078 11572379 11812969 12462562 12649819 12912809 13622882 13906102 15133111 16752463 17839994 19749002 21491561 21938371 23144758 23625938 23980931 25299638 25825618 28104349 28461797 28688639 30266222 33504926 36461243 36751841 37219273 40742689 42983122 43876742 47680087 47961862 48671357 52193791 53278901 56208698 56923594 57377278 62439979 68253419 69121507 69672409 72922486 73503682 74438546 81006653 81485378 82690783 88548733 90389663 95360174 97342714 104387582 105931777 106557802 115959961 118370771 124879958 136506838 138243014 139344818 150440927 151639949 153568597 162013306 165381566 167866517 177097466 180779326 196730443 200820473 211863554 231919922 236741542 257262887 285198823 300881854 303279898 307137194 335733034 365356537 372952307 393460886 401640946 437079853 477773933 483850549 487706863 514525774 570397646 619841131 632727641 692625713 730713074 745904614 811719727 828595397 874159706 887294447 905741317 955547866 967701098 975413726 1053086489 1061479643 1074980179 1175065619 1239682262 1265455282 1377113101 1385251426 1405743311 1507479493 1538820023 1623439454 1657190794 1774588894 1800840209 1811482634 1971319337 1996391761 2012303107 2106172978 2122959286 2149960358 2350131238 2557495759 2577879133 2610666149 2754226202 2811486622 3014958986 3059558971 3077640046 3344417531 3413948041 3601680418 3942638674 3992783522 4024606214 4379718527 4848379991 5114991518 5155758266 5221332298 5682038089 5800167779 6119117942 6211061129 6340189219 6688835062 6827896082 7430357501 8225459333 8759437054 9696759982 10552356451 10771740161 11364076178 11600335558 11774637121 12422122258 12680378438 13799235359 13974742327 14086121749 14860715002 16450918666 17902470313 18045153931 18274663043 20004660299 21104712902 21543480322 23410922717 23549274242 23897636287 25627151381 26159940391 27598470718 27949484654 28172243498 30658029689 33512428729 33938659937 34209152819 35804940626 36090307862 36549326086 39774266623 40009320598 40601174453 43477427903 44381324533 46821845434 47795272574 51254302762 52012502507 52319880782 56936340851 61316059378 67024857458 67877319874 68418305638 73866495157 74455214959 75402181127 79548533246 81202348906 82422459847 86954855806 88762649066 96594647513 98602852243 104025005014 113872681702 126316077517 140032622093 147732990314 148910429918 150804362254 164844919694 179390059667 183119582737 193189295026 197205704486 214606207823 234587001103 237570619559 239464069733 252632155034 280065244186 304341995321 310669271731 340079225083 358780119334 366239165474 398554385957 429212415646 435661573477 444718986647 469174002206 475141239118 478928139466 517065466099 521186504713 527815267889 576957218929 608683990642 621338543462 676162532591 680158450166 690219965701 740172431063 797108771914 871323146954 884212542619 889437973294 967917794467 980228354651 1034130932198 1042373009426 1055630535778 1153914437858 1255730417669 1265738654303 1281837079159 1352325065182 1380439931402 1480344862126 1502243454761 1642109007721 1676248488131 1768425085238 1935835588934 1960456709302 2380554575581 2511460835338 2531477308606 2563674158318 2789880701699 3004486909522 3049631014339 3113032906529 3284218015442 3352496976262 3648305532991 4038700532503 4761109151162 5181207017441 5579761403398 5781346826411 6099262028678 6226065813058 6775424561269 6861598482557 7296611065982 8077401065006 8790112923683 8860170580121 8972859554113 10362414034882 11494763054047 11562693652822 11733739416917 12582931328071 13550849122538 13723196965114 16454602505939 16663882029067 17580225847366 17720341160242 17945719108226 19529164911893 21347417100373 21791230345703 22989526108094 23467478833834 25165862656142 25538138730937 32909205011878 33327764058134 36268449122087 39058329823786 40469427784877 42694834200746 43582460691406 47427971928883 51076277461874 62021194060847 72536898244174 80938855569754 88080519296497 94855943857766 115182217541573 116647174203469 124042388121694 149431919702611 152538612419921 176161038592994 213909832577207 230364435083146 233294348406938 253879143854609 283285994494139 298863839405222 305077224839842 331995803502181 427819665154414 434148358425929 507758287709218 566571988988278 616563635075479 663991607004362 806275522791011 868296716851858 1233127270150958 1497368828040449 1612551045582022 1983001961458973 2994737656080898 3966003922917946 4315945445528353 5643928659537077 8631890891056706 10481581796283143 11287857319074154 20963163592566286 73371072573982001 146742145147964002
- Sum of all divisors σ(n): 303867460480838400
- Sum of proper divisors (its aliquot sum) s(n): 157125315332874398
- 146742145147964002 is an abundant number, because the sum of its proper divisors (157125315332874398) is greater than itself. Its abundance is 10383170184910396
Bases of 146742145147964002
- Binary: 10000010010101010100110100000110110001111110001010011000102
- Hexadecimal: 0x20955341B1F8A62
- Base-36: 144VQYUB6PNM
Squares and roots of 146742145147964002
- 146742145147964002 squared (1467421451479640022) is 21533257162626135094421925887856004
- 146742145147964002 cubed (1467421451479640023) is 3159836348066519802692578718178335509003157551568008
-
The
square root of 146742145147964002 is 383069373.8057951325 -
The
cube root of 146742145147964002 is 527454.4424591797
Scales and comparisons
How big is 146742145147964002?- 146,742,145,147,964,002 seconds is equal to 4,665,946,312 years, 23 weeks, 2 days, 1 hour, 33 minutes, 22 seconds.
-
To count from 1 to 146,742,145,147,964,002 would take you about thirteen billion, nine hundred ninety-seven million, eight hundred thirty-eight thousand, nine hundred thirty-seven 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 146742145147964002 cubic inches would be around 43954.5 feet tall.
Recreational maths with 146742145147964002
- 146742145147964002 backwards is 200469741541247641
- The number of decimal digits it has is: 18
- The sum of 146742145147964002's digits is 67
- More coming soon!
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The information we have on file for 146742145147964002 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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