997931938128642
997,931,938,128,642 is an even composite number composed of nine prime numbers multiplied together.
What does the number 997931938128642 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 768 divisors.
997931938128642 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 997931938128642:
2 × 32 × 11 × 19 × 61 × 113 × 137 × 257 × 1093
(2 × 3 × 3 × 11 × 19 × 61 × 113 × 137 × 257 × 1093)See below for interesting mathematical facts about the number 997931938128642 from the Numbermatics database.
Names of 997931938128642
- Cardinal: 997931938128642 can be written as Nine hundred ninety-seven trillion, nine hundred thirty-one billion, nine hundred thirty-eight million, one hundred twenty-eight thousand, six hundred forty-two.
Scientific notation
- Scientific notation: 9.97931938128642 × 1014
Factors of 997931938128642
Divisors of 997931938128642
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 6 9 11 18 19 22 33 38 57 61 66 99 113 114 122 137 171 183 198 209 226 257 274 339 342 366 411 418 514 549 627 671 678 771 822 1017 1093 1098 1159 1233 1243 1254 1342 1507 1542 1881 2013 2034 2147 2186 2313 2318 2466 2486 2603 2827 3014 3279 3477 3729 3762 4026 4294 4521 4626 4883 5206 5654 6039 6441 6558 6893 6954 7458 7809 8357 8481 9042 9766 9837 10431 11187 12023 12078 12749 12882 13563 13786 14649 15481 15618 15677 16714 16962 19323 19674 20679 20767 20862 22374 23427 23617 24046 25071 25443 25498 27126 28633 29041 29298 30962 31354 35209 36069 38247 38646 41358 41534 43947 46443 46854 47031 47234 50142 50886 53713 57266 58082 62037 62301 66673 70418 70851 72138 75213 75823 76494 85899 87123 87894 91927 92886 94062 105627 107426 108207 114741 123509 124074 124602 130967 133346 139329 141093 141702 149741 150426 151646 158783 161139 170291 171798 172447 174246 183854 186903 200019 211254 212553 216414 227469 228437 229482 247018 257697 261369 261934 275781 278658 280901 282186 294139 297863 299482 316881 317566 319451 322278 340582 344894 370527 373806 387299 392901 400038 425106 449223 454938 456874 476349 483417 510873 515394 517341 522738 551562 551779 561802 588278 595726 600057 633762 638902 668971 682407 685311 733403 741054 774598 785802 827343 842703 882417 893589 898446 944341 952698 958353 966834 1021746 1034682 1103558 1111581 1161897 1178703 1200114 1266787 1337942 1347669 1358599 1364814 1370622 1429047 1440637 1466806 1532619 1552023 1647151 1654686 1655337 1685406 1746613 1764834 1771501 1787178 1888682 1916706 2006913 2055933 2147749 2200209 2223162 2323794 2346671 2357406 2528109 2533574 2647251 2680767 2695338 2717198 2833023 2845079 2858094 2875059 2881274 3065238 3089911 3104046 3235529 3276493 3294302 3310674 3485691 3493226 3543002 3800361 3978617 4013826 4075797 4111866 4295498 4321911 4400418 4693342 4941453 4966011 5056218 5239839 5294502 5314503 5337119 5361534 5666046 5690158 5750118 6020739 6069569 6179822 6443247 6471058 6552986 6600627 6971382 7040013 7358681 7534049 7600722 7957234 8151594 8499069 8535237 8643822 9134201 9269733 9706587 9829479 9882906 9932022 10387751 10479678 10629006 10674238 11401083 11935851 12041478 12139138 12227391 12886494 12965733 13201254 13934657 14080026 14717362 14824359 15068098 15719517 15943509 16011357 16920733 16998138 17070474 17134961 17942479 18208707 18268402 18539466 19329741 19413174 19486511 19658958 20775502 21120039 22076043 22602147 22802166 23625239 23871702 24454782 25605711 25813381 25931466 27402603 27809199 27869314 29119761 29488437 29648718 31163253 31295869 31439034 31741813 31887018 32022714 33658519 33841466 34269922 35807553 35884958 36417414 38483437 38659482 38973022 40807231 41803971 42240078 43764787 44152086 45204294 47250478 48034071 50762199 51211422 51404883 51626762 53827437 54626121 54805206 55618398 58239522 58459533 58708309 58976874 62326506 62591738 63483626 66228129 67317038 67806441 70875717 71615106 75593723 76966874 77440143 81614462 82207809 82874539 83607942 87529574 93489759 93887607 95225439 96068142 100476211 100975557 101524398 102809766 107654874 109252242 115450311 116919066 117416618 122421693 125411913 131294361 132456258 135612882 141751434 143146931 151187446 152286597 154214649 154880286 161482311 164415618 165749078 173549819 175378599 176124927 186128063 186979518 187775214 188484571 190450878 197367269 200952422 201951114 212627151 226781169 230900622 232320429 242695637 244843386 248623617 250823826 262588722 281662821 285676317 286293862 301428633 302926671 304573194 308429298 321493927 322964622 325564259 346350933 347099638 349159943 350757198 352249854 367265079 370243709 372256126 376969142 393883083 394734538 423317807 425254302 429440793 448879541 453562338 464640858 485391274 497247234 520649457 528374781 558384189 563325642 565453713 571352634 592101807 602857266 603094447 605853342 642987854 651128518 680343507 692701866 698319886 728086911 731185303 734530158 740487418 745870851 787766166 831530953 846635614 858881586 897759082 904285899 964481781 976692777 1032164713 1041298914 1047479829 1056749562 1110731127 1116768378 1130907426 1184203614 1206188894 1269953421 1288322379 1346638623 1360687014 1456173822 1462370606 1491741702 1561948371 1574616241 1663061906 1675152567 1696361139 1776305421 1808571798 1809283341 1909048009 1928963562 1936250593 1953385554 2064329426 2094959658 2184260733 2193555909 2221462254 2347489657 2494592859 2539906842 2576644758 2669652007 2693277246 2893445343 2930078331 3096494139 3123896742 3142439487 3149232482 3332193381 3350305134 3392722278 3536433197 3552610842 3581206849 3618566682 3809860263 3818096018 3872501186 4039915869 4348628381 4368521466 4387111818 4611217103 4694979314 4723848723 4989185718 5339304014 5427850023 5727144027 5786890686 5808751779 5860156662 6192988278 6284878974 6580667727 6634038917 6664386762 7042468971 7072866394 7162413698 7483778577 7619720526 8008956021 8043038333 8079831738 8697256762 9222434206 9289482417 9447697446 10609299591 10743620547 10855700046 11353811843 11454288054 11617503558 13045885143 13161335454 13268077834 13833651309 14084937942 14171546169 14967557154 16017912042 16086076666 17181432081 17426255337 18578964834 19611129547 19902116751 21127406913 21218599182 21298756523 21487241094 22707623686 24026868063 24129114999 25822386227 26091770286 27667302618 28343092338 31827898773 32230861641 34061435529 34362864162 34852510674 36788761267 39137655429 39222259094 39804233502 41500953927 42254813826 42597513046 44602303483 47834912191 48053736126 48258229998 50723388133 51644772454 58833388641 59706350253 63655797546 63896269569 64461723282 68122871058 72387344997 73577522534 77467158681 78275310858 82623939239 83001907854 89204606966 95669824382 101446776266 102184306587 110366283801 117666777282 119412700506 127792539138 133806910449 143504736573 144774689994 152170164399 154934317362 165247878478 176500165923 191688808707 204368613174 215722425017 220732567602 232401476043 247871817717 265266331241 267613820898 287009473146 304340328798 331098851403 353000331846 383377617414 401420731347 404676373937 430514209719 431444850034 456510493197 464802952086 490625338313 495743635434 530532662482 647167275051 662197702806 743615453151 795798993723 802841462694 809352747874 861028419438 908863331629 913020986394 981250676626 1214029121811 1294334550102 1471876014939 1487230906302 1591597987446 1817726663258 1941501825153 2387396981169 2428058243622 2726589994887 2917929643651 2943752029878 3642087365433 3883003650306 4415628044817 4774793962338 5040060293579 5453179989774 5835859287302 7284174730866 8179769984661 8753788930953 8831256089634 10080120587158 15120180880737 16359539969322 17507577861906 26261366792859 30240361761474 45360542642211 52522733585718 55440663229369 90721085284422 110881326458738 166321989688107 332643979376214 498965969064321 997931938128642
- Sum of all divisors σ(n): 2576846233428480
- Sum of proper divisors (its aliquot sum) s(n): 1578914295299838
- 997931938128642 is an abundant number, because the sum of its proper divisors (1578914295299838) is greater than itself. Its abundance is 580982357171196
Bases of 997931938128642
- Binary: 111000101110011101001000101010111010100011000000102
- Hexadecimal: 0x38B9D22AEA302
- Base-36: 9TQJLQ4F0I
Squares and roots of 997931938128642
- 997931938128642 squared (9979319381286422) is 995868153137187764752940764164
- 997931938128642 cubed (9979319381286423) is 993808636180785036905664376414729275615585288
-
The
square root of 997931938128642 is 31590060.7490495655 -
The
cube root of 997931938128642 is 99931.0170287271
Scales and comparisons
How big is 997931938128642?- 997,931,938,128,642 seconds is equal to 31,731,148 years, 42 weeks, 6 days, 18 hours, 50 minutes, 42 seconds.
-
To count from 1 to 997,931,938,128,642 would take you about seventy-nine million, three hundred twenty-seven thousand, eight hundred seventy-two 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 997931938128642 cubic inches would be around 8327.6 feet tall.
Recreational maths with 997931938128642
- 997931938128642 backwards is 246821839139799
- The number of decimal digits it has is: 15
- The sum of 997931938128642's digits is 81
- More coming soon!
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The information we have on file for 997931938128642 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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