90648489074140998

Names of 90648489074140998

• Cardinal: 90648489074140998 can be written as Ninety quadrillion, six hundred forty-eight trillion, four hundred eighty-nine billion, seventy-four million, one hundred forty thousand, nine hundred ninety-eight.

Scientific notation

• Scientific notation: 9.0648489074140998 × 10¹⁶

Factors of 90648489074140998

• Number of distinct prime factors ω(n): 9
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2383340

Divisors of 90648489074140998

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 6 7 9 11 13 14 18 21 22 26 31 33 39 41 42 62 63 66 77 78 82 91 93 99 117 121 123 126 143 151 154 182 186 198 217 231 234 242 246 273 279 286 287 302 341 363 369 403 429 434 451 453 462 533 546 558 574 651 682 693 726 738 806 819 847 858 861 902 906 1001 1023 1057 1066 1089 1209 1271 1287 1302 1353 1359 1386 1573 1599 1638 1661 1694 1722 1953 1963 2002 2046 2114 2178 2387 2418 2541 2542 2574 2583 2706 2718 2821 3003 3069 3146 3157 3171 3198 3322 3627 3731 3751 3813 3906 3926 4059 4433 4681 4719 4774 4797 4961 4983 5082 5166 5642 5863 5889 6006 6138 6191 6314 6342 7161 7254 7462 7502 7623 7626 8118 8463 8866 8897 9009 9362 9438 9471 9513 9594 9922 9966 11011 11193 11253 11439 11627 11726 11778 12382 13299 13741 13981 14043 14157 14322 14883 14949 15246 16523 16926 17589 17667 17794 18018 18271 18573 18942 19026 21483 21593 22022 22386 22506 22878 23254 25389 26257 26598 26691 27482 27962 28086 28314 28413 29766 29898 31031 32767 33033 33046 33579 33759 34727 34881 35178 35334 36542 37146 39897 41041 41223 41943 42129 42966 43186 43337 44649 48763 49569 50778 51491 52514 52767 53382 54813 55719 56826 60853 62062 64493 64779 65534 66066 67158 67518 68101 69454 69762 78771 79794 80073 80483 82082 82446 83886 84258 86674 89298 93093 97526 97867 98301 99099 99138 102982 104181 104643 105534 109626 111438 115661 121706 123123 123669 125829 127897 128986 129558 130011 136202 146289 148707 151151 153791 154473 157542 160146 160966 164439 181753 182559 186186 191921 193479 194337 195734 196602 198198 204303 208362 209286 231322 236313 237523 241449 246246 247338 251658 255794 260022 279279 292578 293601 294903 297414 302302 307582 308946 312543 328878 341341 346983 360437 363506 365118 369369 383691 383842 386958 388674 390033 408606 425971 438867 451451 453453 461373 463419 472626 475046 476707 482898 545259 547677 558558 563381 566401 575763 580437 587202 589806 612909 625086 669383 682682 693966 712569 720874 724347 738738 749111 767382 780066 851942 877734 880803 885313 902902 906906 922746 926838 953414 1024023 1040949 1076537 1081311 1090518 1095354 1126762 1132802 1151073 1151526 1160874 1225818 1272271 1277913 1338766 1343447 1354353 1360359 1384119 1425138 1430121 1448694 1498222 1635777 1662661 1690143 1699203 1727289 1761606 1770626 1999283 2008149 2048046 2081898 2111131 2137707 2153074 2162622 2247333 2302146 2383081 2494973 2544542 2555826 2655939 2686894 2708706 2720718 2768238 2860242 3072069 3229611 3243933 3271554 3325322 3380286 3398406 3454578 3816813 3833739 3964807 3998566 4016298 4030341 4063059 4222262 4275414 4290363 4494666 4685681 4766162 4987983 4989946 5070429 5097609 5243777 5311878 5997849 6024447 6144138 6197191 6333393 6459222 6487866 6741999 7149243 7363213 7484919 7633626 7667478 7929614 7967817 8060682 8126118 8580726 9371362 9688833 9738443 9975966 10140858 10195218 10487554 11450439 11894421 11995698 12048894 12091023 12394382 12666786 13483998 13994981 14057043 14298486 14726426 14777917 14963949 14969838 15731331 15935634 16681567 17464811 17993547 18591573 19000179 19377666 19476886 21447729 22089639 22454757 22900878 23222441 23788842 24182046 26213891 27444703 27989962 28114086 29215329 29555834 29927898 30980053 31462662 33363134 34929622 35683263 35987094 37183146 38000358 41984943 42171129 42895458 44179278 44333751 44909514 46444882 47193993 50044701 51542491 52394433 52427782 54889406 55774719 58430658 61960106 66268917 68169101 69667323 71366526 73875511 78641673 82334109 83969886 84342258 87645987 88667502 92940159 94387986 97706321 100089402 103084982 104788866 111549438 125954829 132537834 133001253 136338202 139334646 147751022 150134103 154627473 157183299 157283346 162557087 164668218 175291974 183497237 185880318 192112921 195412642 204507303 209001969 216860371 221626533 235925019 247002327 251909658 266002506 278820477 288352801 293118963 300268206 301891733 309254946 314366598 325114174 340780583 359845231 366994474 384225842 409014606 418003938 433720742 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299860699149 304788910657 307384085866 308747208198 309826743891 324580398362 348618536409 354380826267 360205076231 366496410071 368121671313 375435346902 381640889826 383595016246 391871456559 433132120993 435052884279 443696319066 457363288601 461076128799 463120812297 466449976454 468518490762 472321888038 486870597543 496543523322 498745490166 551259063082 563153020353 566036548363 575392524369 586824163926 589426488378 599721398298 609577821314 619653487782 665544478599 697237072818 699674964681 702777736143 708761652534 720410152462 732992820142 736243342626 744815284983 783742913118 813443251621 826888594623 858950566397 866264241986 870105768558 880236245889 914366731971 914726577202 922152257598 926241624594 929480231673 973741195086 1015123396651 1045855609227 1075844300531 1080615228693 1099489230213 1104365013939 1126306040706 1132073096726 1136031394267 1150785048738 1299396362979 1305158652837 1331088957198 1342582556861 1349779461481 1372089865803 1383228386397 1399349929362 1405555472286 1460611792629 1489630569966 1595193909023 1626886503242 1653777189246 1698109645089 1717901132794 1726177573107 1760472491778 1785192190991 1828733463942 1858960463346 2030246793302 2091711218454 2099024894043 2109772589353 2151688601062 2161230457386 2198978460426 2208730027878 2272062788534 2440329754863 2480665783869 2565474870497 2576851699191 2598792725958 2610317305674 2685165113722 2699558922962 2743100195913 2744179731606 2766456772794 2921223585258 3031924846951 3045370189953 3190387818046 3201543020207 3227532901593 3241845686079 3298467690639 3396219290178 3408094182801 3452355146214 3570384381982 3898189088937 3962255838541 4027747670583 4049338384443 4116269597409 4198049788086 4219545178706 4764453330923 4785581727069 4880659509726 4961331567738 5030996174611 5094328935267 5130949740994 5153703398382 5355576572973 5486200391826 5945722751813 6063849693902 6090740379906 6329317768059 6403086040414 6455065803186 6483691372158 6596935381278 6816188365602 7320989264589 7696424611491 7730555097573 7796378177874 7924511677082 8055495341166 8098676768886 8232539194818 9095774540853 9136110569859 9448456230367 9528906661846 9571163454138 9604629060621 9682598704779 10061992349222 10188657870534 10224282548403 10711153145946 11166357363161 11886767515623 11891445503626 12083243011749 12148015153329 12496345336937 12658635536118 14293359992769 14356745181207 14641978529178 14768408125471 15092988523833 15392849222982 15461110195146 16066729718919 17547132999253 17837168255439 18191549081706 18272221139718 18896912460734 18987953304177 19209258121242 19365197409558 20448565096806 22332714726322 23089273834473 23207498482883 23773535031246 24166486023498 24296030306658 24992690673874 27287323622559 28345368691101 28586719985538 28713490362414 28813887181863 29536816250942 30185977047666 32133459437838 33351173316461 33499072089483 35094265998506 35216973222277 35660302546869 35674336510878 37489036010811 37975906608354 41620059262691 42880079978307 44305224376413 45278965571499 46178547668946 46414996965766 52641398997759 53511504766317 54574647245118 55340957920721 56690737382202 57627774363726 65402950269943 66702346632922 66998144178966 69622495448649 70433946444554 71320605093738 74978072021622 83240118525382 85036106073303 85760159956614 88610448752826 90557931142998 100053519949383 100497216268449 105282797995518 105650919666831 107023009532634 110681915841442 112467108032433 122829930994771 124860177788073 130805900539886 132915673129239 139244990897298 157924196993277 162452489380181 166022873762163 170072212146606 196208850809829 200107039898766 200994432536898 208867486345947 211301839333662 224934216064866 245659861989542 249720355576146 265831346258478 300160559848149 315848393986554 316952759000493 324904978760362 332045747524326 368489792984313 374580533364219 387386705445047 392417701619658 417734972691894 457820651889601 487357468140543 498068621286489 588626552429487 600321119696298 633905518000986 719432452969373 736979585968626 749161066728438 774773410890094 915641303779202 974714936281086 996137242572978 1105469378952939 1162160116335141 1177253104858974 1373461955668803 1438864905938746 1462072404421629 2158297358908119 2210938757905878 2324320232670282 2746923911337606 2924144808843258 3486480349005423 4120385867006409 4316594717816238 5036027170785611 6474892076724357 6972960698010846 8240771734012818 10072054341571222 12949784153448714 15108081512356833 30216163024713666 45324244537070499 90648489074140998
• Sum of all divisors σ(n): 282823904549781504
• Sum of proper divisors (its aliquot sum) s(n): 192175415475640506
• 90648489074140998 is an abundant number, because the sum of its proper divisors (192175415475640506) is greater than itself. Its abundance is 101526926401499508

Bases of 90648489074140998

• Binary: 101000010000011000101001000001110101100001010011101000110₂
• Hexadecimal: 0x1420C520EB0A746
• Base-36: OSK7GZK42TI

Squares and roots of 90648489074140998

• 90648489074140998 squared (90648489074140998²) is 8217148571424659888800931584436004
• 90648489074140998 cubed (90648489074140998³) is 744872102497381592058411035887769770797762603691992
• The square root of 90648489074140998 is 301078875.1708445553
• The cube root of 90648489074140998 is 449214.2486622147

Scales and comparisons

• 90,648,489,074,140,998 seconds is equal to 2,882,341,558 years, 19 weeks, 2 days, 3 minutes, 18 seconds.
• To count from 1 to 90,648,489,074,140,998 would take you about eight billion, six hundred forty-seven million, twenty-four thousand, six hundred seventy-five 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 90648489074140998 cubic inches would be around 37434.5 feet tall.

Recreational maths with 90648489074140998

• 90648489074140998 backwards is 89904147098484609
• The number of decimal digits it has is: 17
• The sum of 90648489074140998's digits is 90
• More coming soon!