135664084679424000

Names of 135664084679424000

• Cardinal: 135664084679424000 can be written as One hundred thirty-five quadrillion, six hundred sixty-four trillion, eighty-four billion, six hundred seventy-nine million, four hundred twenty-four thousand.

Scientific notation

• Scientific notation: 1.35664084679424 × 10¹⁷

Factors of 135664084679424000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 223097

Divisors of 135664084679424000

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 140 147 150 160 168 175 192 196 200 210 224 240 245 250 256 280 294 300 320 336 343 350 375 384 392 400 420 448 480 490 500 512 525 560 588 600 640 672 686 700 735 750 768 784 800 840 875 896 960 980 1000 1024 1029 1050 1120 1176 1200 1225 1280 1344 1372 1400 1470 1500 1536 1568 1600 1680 1715 1750 1792 1920 1960 2000 2048 2058 2100 2240 2333 2352 2400 2450 2560 2625 2688 2744 2800 2940 3000 3072 3136 3200 3360 3430 3500 3584 3675 3840 3920 4000 4116 4200 4480 4666 4704 4800 4900 5120 5145 5250 5376 5488 5600 5880 6000 6125 6144 6272 6400 6720 6860 6999 7000 7168 7350 7680 7840 8000 8232 8400 8575 8960 9332 9408 9600 9800 10240 10290 10500 10752 10976 11200 11665 11760 12000 12250 12544 12800 13440 13720 13998 14000 14336 14700 15360 15680 16000 16331 16464 16800 17150 17920 18375 18664 18816 19200 19600 20580 21000 21504 21952 22400 23330 23520 24000 24500 25088 25600 25725 26880 27440 27996 28000 29400 30720 31360 32000 32662 32928 33600 34300 34995 35840 36750 37328 37632 38400 39200 41160 42000 42875 43008 43904 44800 46660 47040 48000 48993 49000 50176 51200 51450 53760 54880 55992 56000 58325 58800 62720 64000 65324 65856 67200 68600 69990 71680 73500 74656 75264 76800 78400 81655 82320 84000 85750 87808 89600 93320 94080 96000 97986 98000 100352 102900 107520 109760 111984 112000 114317 116650 117600 125440 128000 128625 130648 131712 134400 137200 139980 147000 149312 150528 153600 156800 163310 164640 168000 171500 174975 175616 179200 186640 188160 192000 195972 196000 205800 215040 219520 220747 223968 224000 228634 233300 235200 244965 250880 256000 257250 261296 263424 268800 274400 279960 291625 294000 298624 301056 313600 326620 329280 336000 342951 343000 349950 351232 358400 373280 376320 384000 391944 392000 408275 411600 439040 441494 447936 448000 457268 466600 470400 489930 501760 514500 522592 526848 537600 548800 559920 571585 583250 588000 597248 627200 653240 658560 662241 672000 685902 686000 699900 702464 746560 752640 768000 783888 784000 800219 816550 823200 874875 878080 882988 895872 896000 914536 933200 940800 979860 1029000 1045184 1053696 1075200 1097600 1103735 1119840 1143170 1166500 1176000 1194496 1224825 1254400 1306480 1317120 1324482 1344000 1371804 1372000 1399800 1493120 1505280 1545229 1567776 1568000 1600438 1633100 1646400 1714755 1749750 1756160 1765976 1791744 1792000 1829072 1866400 1881600 1959720 2041375 2058000 2090368 2107392 2195200 2207470 2239680 2286340 2333000 2352000 2388992 2400657 2449650 2508800 2612960 2634240 2648964 2688000 2743608 2744000 2799600 2857925 2986240 3090458 3135552 3136000 3200876 3266200 3292800 3311205 3429510 3499500 3512320 3531952 3583488 3658144 3732800 3763200 3919440 4001095 4082750 4116000 4180736 4390400 4414940 4479360 4572680 4635687 4666000 4704000 4777984 4801314 4899300 5225920 5268480 5297928 5376000 5487216 5488000 5518675 5599200 5715850 5972480 6124125 6180916 6271104 6272000 6401752 6532400 6585600 6622410 6859020 6999000 7063904 7166976 7316288 7465600 7526400 7726145 7838880 8002190 8165500 8232000 8361472 8573775 8780800 8829880 8958720 9145360 9271374 9332000 9408000 9602628 9798600 10451840 10536960 10595856 10816603 10974432 10976000 11037350 11198400 11431700 11944960 12003285 12248250 12361832 12542208 12544000 12803504 13064800 13171200 13244820 13718040 13998000 14127808 14289625 14333952 14632576 14931200 15452290 15677760 16004380 16331000 16464000 16556025 16722944 17147550 17561600 17659760 17917440 18290720 18542748 18664000 18816000 19205256 19597200 20005475 20903680 21191712 21633206 21948864 21952000 22074700 22396800 22863400 23178435 23889920 24006570 24496500 24723664 25084416 25607008 26129600 26342400 26489640 27436080 27593375 27996000 28255616 28579250 29265152 29862400 30904580 31355520 32008760 32449809 32662000 32928000 33112050 33445888 34295100 35319520 35834880 36581440 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179174400 182907200 185427480 192052560 193153625 195972000 197789312 200054750 204856064 209036800 211917120 216332060 219488640 220747000 223968000 226044928 227148663 228634000 231784350 234121216 240065700 247236640 250844160 256070080 259598472 261296000 263424000 264896400 270415075 274360800 282556160 292651520 296683968 298624000 300082125 302864884 307284096 309045800 313555200 320087600 324498090 331120500 339067392 342951000 346131296 351181824 353195200 358348800 365814400 370854960 378581105 384105120 386307250 391944000 395578624 400109500 409712128 418073600 423834240 432664120 438977280 441494000 447936000 452089856 454297326 457268000 463568700 480131400 494473280 501688320 512140160 515002751 519196944 522592000 529792800 540830150 548721600 565112320 579460875 585303040 593367936 597248000 600164250 605729768 614568192 618091600 627110400 640175200 648996180 662241000 678134784 685902000 692262592 702363648 706390400 731628800 741709920 757162210 768210240 772614500 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51919694400 54075288855 55381007360 56511232000 56787165750 57680308112 58150057728 59336793600 60572976800 61456819200 61800330120 64375343875 64899618000 65920352128 66457208832 69226259200 72100385140 72687572160 74170992000 75705404397 75716221000 76821024000 77250412650 77533410304 79115724800 82400440160 83071511040 84766848000 86520462168 86532824000 87795456000 90125481425 90859465200 96916762880 98880528192 98894656000 100940539196 102428032000 103000550200 103839388800 108150577710 110762014720 113574331500 115360616224 116300115456 118673587200 121145953600 122913638400 123600660240 126175673995 128750687750 129799236000 131840704256 138452518400 144200770280 145375144320 148341984000 151410808794 151432442000 153642048000 154500825300 155066820608 164800880320 166143022080 169533696000 173040924336 173065648000 176645943593 180250962850 181718930400 193126031625 193833525760 197761056384 197789312000 201881078392 204856064000 206001100400 207678777600 216301155420 227148663000 230721232448 232600230912 237347174400 242291907200 247201320480 252351347990 257501375500 259598472000 263681408512 270376444275 276905036800 288401540560 290750288640 296683968000 302821617588 302864884000 307284096000 309001650600 329601760640 332286044160 346081848672 346131296000 353291887186 360501925700 363437860800 378527021985 386252063250 387667051520 395522112768 395578624000 403762156784 412002200800 415357555200 432602310840 450627407125 454297326000 461442464896 465200461824 484583814400 494402640960 504702695980 515002751000 519196944000 527362817024 529937830779 540752888550 553810073600 576803081120 581500577280 593367936000 605643235176 605729768000 614568192000 618003301200 630878369975 659203521280 692163697344 692262592000 706583774372 721003851400 726875721600 757054043970 772504126500 775334103040 791044225536 807524313568 824004401600 830715110400 865204621680 883229717965 901254814250 908594652000 922884929792 969167628800 988805281920 1009405391960 1030005502000 1038393888000 1054725634048 1059875661558 1081505777100 1153606162240 1163001154560 1186735872000 1211286470352 1211459536000 1236006602400 1261756739950 1318407042560 1351882221375 1384327394688 1384525184000 1413167548744 1442007702800 1453751443200 1514108087940 1545008253000 1582088451072 1615048627136 1648008803200 1661430220800 1730409243360 1766459435930 1802509628500 1817189304000 1845769859584 1892635109925 1938335257600 1977610563840 2018810783920 2060011004000 2076787776000 2119751323116 2163011554200 2307212324480 2326002309120 2422572940704 2422919072000 2472013204800 2523513479900 2636814085120 2649689153895 2703764442750 2768654789376 2769050368000 2826335097488 2884015405600 2907502886400 3028216175880 3090016506000 3154391849875 3164176902144 3230097254272 3296017606400 3460818486720 3532918871860 3605019257000 3634378608000 3691539719168 3785270219850 3876670515200 3955221127680 4037621567840 4120022008000 4153575552000 4239502646232 4326023108400 4416148589825 4614424648960 4845145881408 4845838144000 4944026409600 5047026959800 5273628170240 5299378307790 5407528885500 5537309578752 5652670194976 5768030811200 5815005772800 6056432351760 6180033012000 6308783699750 6460194508544 6592035212800 6921636973440 7065837743720 7210038514000 7268757216000 7383079438336 7570540439700 7910442255360 8075243135680 8240044016000 8307151104000 8479005292464 8652046216800 8832297179650 9228849297920 9463175549625 9690291762816 9691676288000 9888052819200 10094053919600 10598756615580 10815057771000 11074619157504 11305340389952 11536061622400 11630011545600 12112864703520 12360066024000 12617567399500 12920389017088 13184070425600 13248445769475 13843273946880 14131675487440 14420077028000 14537514432000 15141080879400 15820884510720 16150486271360 16480088032000 16958010584928 17304092433600 17664594359300 18457698595840 18926351099250 19380583525632 19383352576000 19776105638400 20188107839200 21197513231160 21630115542000 22080742949125 22149238315008 22610680779904 23072123244800 24225729407040 24720132048000 25235134799000 25840778034176 26368140851200 26496891538950 27686547893760 28263350974880 28840154056000 29075028864000 30282161758800 32300972542720 32960176064000 33916021169856 34608184867200 35329188718600 36915397191680 37852702198500 38761167051264 39552211276800 40376215678400 42395026462320 43260231084000 44161485898250 45221361559808 46144246489600 48451458814080 49440264096000 50470269598000 51681556068352 52993783077900 55373095787520 56526701949760 57680308112000 58150057728000 60564323517600 64601945085440 65920352128000 66242228847375 67832042339712 69216369734400 70658377437200 75705404397000 77522334102528 79104422553600 80752431356800 84790052924640 86520462168000 88322971796500 90442723119616 92288492979200 96902917628160 98880528192000 100940539196000 105987566155800 110746191575040 113053403899520 115360616224000 121128647035200 129203890170880 131840704256000 132484457694750 135664084679424 138432739468800 141316754874400 151410808794000 155044668205056 161504862713600 169580105849280 173040924336000 176645943593000 180885446239232 184576985958400 193805835256320 197761056384000 201881078392000 211975132311600 226106807799040 230721232448000 242257294070400 258407780341760 264968915389500 271328169358848 276865478937600 282633509748800 302821617588000 323009725427200 339160211698560 346081848672000 353291887186000 361770892478464 387611670512640 395522112768000 403762156784000 423950264623200 452213615598080 461442464896000 484514588140800 529937830779000 542656338717696 553730957875200 565267019497600 605643235176000 646019450854400 678320423397120 692163697344000 706583774372000 775223341025280 807524313568000 847900529246400 904427231196160 922884929792000 969029176281600 1059875661558000 1085312677435392 1130534038995200 1211286470352000 1292038901708800 1356640846794240 1384327394688000 1413167548744000 1615048627136000 1695801058492800 1808854462392320 1938058352563200 2119751323116000 2261068077990400 2422572940704000 2713281693588480 2768654789376000 2826335097488000 3230097254272000 3391602116985600 3876116705126400 4239502646232000 4522136155980800 4845145881408000 5426563387176960 5652670194976000 6460194508544000 6783204233971200 8479005292464000 9044272311961600 9690291762816000 11305340389952000 13566408467942400 16958010584928000 19380583525632000 22610680779904000 27132816935884800 33916021169856000 45221361559808000 67832042339712000 135664084679424000
• Sum of all divisors σ(n): 526618505597184000
• Sum of proper divisors (its aliquot sum) s(n): 390954420917760000
• 135664084679424000 is an abundant number, because the sum of its proper divisors (390954420917760000) is greater than itself. Its abundance is 255290336238336000

Bases of 135664084679424000

• Binary: 111100001111110011100010000101000000110000111100000000000₂
• Hexadecimal: 0x1E1F9C428187800
• Base-36: 113SWK4B9GQO

Squares and roots of 135664084679424000

• 135664084679424000 squared (135664084679424000²) is 18404743871905925676848971776000000
• 135664084679424000 cubed (135664084679424000³) is 2496862731141355441547607409400328983937024000000000
• The square root of 135664084679424000 is 368326057.5623505895
• The cube root of 135664084679424000 is 513832.5705888007

Scales and comparisons

• 135,664,084,679,424,000 seconds is equal to 4,313,698,256 years, 12 weeks, 3 days, 2 hours, 40 minutes.
• To count from 1 to 135,664,084,679,424,000 would take you about twelve billion, nine hundred forty-one million, ninety-four thousand, seven hundred sixty-eight 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 135664084679424000 cubic inches would be around 42819.4 feet tall.

Recreational maths with 135664084679424000

• 135664084679424000 backwards is 000424976480466531
• The number of decimal digits it has is: 18
• The sum of 135664084679424000's digits is 69
• More coming soon!