90138015046468480
90,138,015,046,468,480 is an even composite number composed of six prime numbers multiplied together.
What does the number 90138015046468480 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
90138015046468480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 90138015046468480:
27 × 5 × 7 × 132 × 1514 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 13 × 151 × 151 × 151 × 151 × 229)See below for interesting mathematical facts about the number 90138015046468480 from the Numbermatics database.
Names of 90138015046468480
- Cardinal: 90138015046468480 can be written as Ninety quadrillion, one hundred thirty-eight trillion, fifteen billion, forty-six million, four hundred sixty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 9.013801504646848 × 1016
Factors of 90138015046468480
Divisors of 90138015046468480
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 151 160 169 182 208 224 229 260 280 302 320 338 364 416 448 455 458 520 560 604 640 676 728 755 832 845 896 910 916 1040 1057 1120 1145 1183 1208 1352 1456 1510 1603 1664 1690 1820 1832 1963 2080 2114 2240 2290 2366 2416 2704 2912 2977 3020 3206 3380 3640 3664 3926 4160 4228 4480 4580 4732 4832 5285 5408 5824 5915 5954 6040 6412 6760 7280 7328 7852 8015 8320 8456 9160 9464 9664 9815 10570 10816 11648 11830 11908 12080 12824 13520 13741 14560 14656 14885 15704 16030 16912 18320 18928 19328 19630 20839 21140 21632 22801 23660 23816 24160 25519 25648 27040 27482 29120 29312 29770 31408 32060 33824 34579 36640 37856 38701 39260 41678 42280 45602 47320 47632 48320 51038 51296 54080 54964 58240 59540 62816 64120 67648 68705 69158 73280 75712 77402 78520 83356 84560 91204 94640 95264 96640 102076 102592 104195 108160 109928 114005 119080 125632 127595 128240 135296 137410 138316 146560 151424 154804 157040 159607 166712 169120 172895 178633 182408 189280 190528 193505 204152 205184 208390 219856 228010 238160 242053 251264 255190 256480 270907 274820 276632 296413 309608 314080 319214 333424 338240 345790 357266 364816 378560 381056 387010 408304 416780 439712 449527 456020 476320 484106 510380 512960 541814 549640 553264 592826 619216 628160 638428 666848 676480 691580 714532 729632 757120 774020 798035 816608 833560 879424 893165 899054 912040 952640 968212 1020760 1025920 1083628 1099280 1106528 1185652 1210265 1238432 1256320 1276856 1333696 1354535 1383160 1429064 1459264 1482065 1548040 1596070 1633216 1667120 1758848 1786330 1798108 1824080 1905280 1936424 2041520 2074891 2167256 2198560 2213056 2247635 2371304 2420530 2476864 2553712 2667392 2709070 2766320 2858128 2918528 2964130 3096080 3146689 3192140 3266432 3334240 3442951 3572660 3596216 3648160 3853369 3872848 4083040 4149782 4334512 4397120 4426112 4495270 4742608 4841060 4953728 5107424 5221429 5418140 5532640 5716256 5843851 5928260 6192160 6293378 6384280 6668480 6885902 7145320 7192432 7296320 7706738 7745696 8166080 8299564 8669024 8794240 8990540 9485216 9682120 10214848 10374455 10442858 10836280 11065280 11432512 11687702 11856520 12384320 12586756 12768560 13336960 13771804 14290640 14384864 14592640 15413476 15491392 15733445 16332160 16599128 17214755 17338048 17981080 18970432 19266845 19364240 20429696 20748910 20885716 21672560 22130560 22865024 23375404 23713040 24100657 24768640 25173512 25537120 26107145 26973583 27543608 28581280 28769728 29219255 30826952 30982784 31466890 33198256 34429510 34676096 35962160 36550003 37940864 38533690 38728480 40906957 41497820 41771432 43345120 44758363 46750808 47426080 48201314 50347024 51074240 52214290 53947166 55087216 57162560 57539456 58438510 61653904 62933780 66396512 67878577 68859020 71924320 73100006 77067380 77456960 81813914 82995640 83542864 86690240 89516726 93501616 94852160 96402628 100694048 102148480 104428580 107894332 110174432 114325120 116877020 120503285 123307808 125867560 132793024 134867915 135757154 137718040 143848640 146200012 154134760 154913920 163627828 165991280 167085728 173380480 179033452 182750015 187003232 189704320 192805256 201388096 204534785 208857160 215788664 220348864 223791815 233754040 241006570 246615616 251735120 265586048 269735830 271514308 275436080 287697280 292400024 308269520 313308541 327255656 331982560 334171456 339392885 358066904 365500030 374006464 385610512 402776192 409069570 417714320 431577328 440697728 447583630 467508080 475150039 482013140 493231232 503470240 519885601 539471660 543028616 550872160 581858719 584800048 616539040 626617082 654511312 663965120 668342912 678785770 716133808 731000060 748012928 771221024 788435779 818139140 835428640 863154656 882421501 895167260 935016160 950300078 964026280 1006940480 1039771202 1078943320 1086057232 1101744320 1163717438 1169600096 1233078080 1253234164 1309022624 1327930240 1357571540 1432267616 1462000120 1542442048 1566542705 1576871558 1636278280 1670857280 1726309312 1764843002 1790334520 1870032320 1900600156 1928052560 2013880960 2079542404 2157886640 2172114464 2203488640 2327434876 2339200192 2375750195 2466156160 2506468328 2599428005 2618045248 2715143080 2864535232 2909293595 2924000240 3084884096 3133085410 3153743116 3272556560 3341714560 3452618624 3529686004 3580669040 3639199207 3740064640 3801200312 3856105120 3942178895 4073011033 4159084808 4315773280 4344228928 4412107505 4654869752 4678400384 4751500390 5012936656 5198856010 5236090496 5430286160 5519050453 5729070464 5818587190 5848000480 6176950507 6266170820 6307486232 6545113120 6758512813 7059372008 7161338080 7278398414 7602400624 7712210240 7884357790 8146022066 8318169616 8631546560 8688457856 8824215010 9309739504 9503000780 10025873312 10249665127 10397712020 10860572320 11038100906 11637174380 11696000960 12353901014 12532341640 12614972464 13090226240 13517025626 14118744016 14322676160 14556796828 15204801248 15424420480 15768715580 16292044132 16636339232 17263093120 17648430020 18195996035 18619479008 19006001560 20051746624 20365055165 20499330254 20795424040 21721144640 22076201812 23274348760 23392001920 24707802028 25064683280 25229944928 26180452480 27034051252 27595252265 28237488032 28645352320 29113593656 30409602496 30884752535 31537431160 32584088264 33272678464 33792564065 35296860040 36391992070 37238958016 38012003120 40103493248 40730110330 40998660508 41590848080 43442289280 44152403624 46548697520 47309589691 49415604056 50129366560 50459889856 51248325635 54068102504 55190504530 56474976064 58227187312 60819204992 61769505070 63074862320 65168176528 66545356928 67585128130 70593720080 71747655889 72783984140 74477916032 76024006240 81460220660 81997321016 83181696160 87860666569 88304807248 93097395040 94619179382 98831208112 100258733120 100919779712 102496651270 108136205008 110381009060 112949952128 116454374624 119053802629 123539010140 126149724640 130336353056 133245646651 135170256260 141187440160 143495311778 145567968280 152048012480 162920441320 163994642032 166363392320 175721333138 176609614496 186194790080 189238358764 197662416224 200517466240 204993302540 216272410016 220762018120 232908749248 236547948455 238107605258 247078020280 252299449280 260672706112 266491293302 270340512520 282374880320 286990623556 291135936560 304096024960 325840882640 327989284064 332726784640 351442666276 353219228992 358738279445 372389580160 378476717528 395324832448 409986605080 432544820032 439303332845 441524036240 465817498496 473095896910 476215210516 494156040560 504598898560 521345412224 532982586604 540681025040 564749760640 573981247112 582271873120 595269013145 615024665983 651681765280 655978568128 666228233255 702885332552 706438457984 717476558890 756953435056 790649664896 819973210160 833376618403 865089640064 878606665690 883048072480 932719526557 946191793820 952430421032 988312081120 1065965173208 1081362050080 1147962494224 1164543746240 1190538026290 1230049331966 1303363530560 1311957136256 1332456466510 1405770665104 1434953117780 1513906870112 1547699434177 1639946420320 1666753236806 1757213331380 1766096144960 1865439053114 1892383587640 1904860842064 1976624162240 2131930346416 2162724100160 2295924988448 2329087492480 2381076052580 2460098663932 2606727061120 2664912933020 2811541330208 2869906235560 3027813740224 3075123329915 3095398868354 3279892840640 3333506473612 3514426662760 3532192289920 3730878106228 3784767175280 3809721684128 3953248324480 4166883092015 4263860692832 4325448200320 4591849976896 4663597632785 4762152105160 4920197327864 5329825866040 5623082660416 5739812471120 6055627480448 6150246659830 6190797736708 6559785681280 6667012947224 7028853325520 7461756212456 7569534350560 7619443368256 7738497170885 8333766184030 8527721385664 9183699953792 9327195265570 9524304210320 9840394655728 10659651732080 10833896039239 11246165320832 11479624942240 12300493319660 12381595473416 13334025894448 14057706651040 14923512424912 15139068701120 15238886736512 15476994341770 16667532368060 17055442771328 18654390531140 19048608420640 19680789311456 20120092644301 21319303464160 21667792078478 22959249884480 24600986639320 24763190946832 26668051788896 28115413302080 29847024849824 30278137402240 30953988683540 33335064736120 37308781062280 38097216841280 39361578622912 40240185288602 42638606928320 43335584156956 45918499768960 49201973278640 49526381893664 53336103577792 54169480196195 56230826604160 59694049699648 61907977367080 66670129472240 74617562124560 76194433682560 78723157245824 80480370577204 85277213856640 86671168313912 98403946557280 99052763787328 100600463221505 106672207155584 108338960392390 119388099399296 123815954734160 133340258944480 140840648510107 149235124249120 160960741154408 173342336627824 196807893114560 198105527574656 201200926443010 216677920784780 247631909468320 266680517888960 281681297020214 298470248498240 321921482308816 346684673255648 393615786229120 402401852886020 433355841569560 495263818936640 533361035777920 563362594040428 596940496996480 643842964617632 693369346511296 704203242550535 804803705772040 866711683139120 990527637873280 1126725188080856 1287685929235264 1386738693022592 1408406485101070 1609607411544080 1733423366278240 2253450376161712 2575371858470528 2816812970202140 3219214823088160 3466846732556480 4506900752323424 5633625940404280 6438429646176320 6933693465112960 9013801504646848 11267251880808560 12876859292352640 18027603009293696 22534503761617120 45069007523234240 90138015046468480
- Sum of all divisors σ(n): 269621065708308000
- Sum of proper divisors (its aliquot sum) s(n): 179483050661839520
- 90138015046468480 is an abundant number, because the sum of its proper divisors (179483050661839520) is greater than itself. Its abundance is 89345035615371040
Bases of 90138015046468480
- Binary: 1010000000011110000001100000011111001101010000011100000002
- Hexadecimal: 0x1403C0C0F9A8380
- Base-36: ONJ9CGG33B4
Squares and roots of 90138015046468480
- 90138015046468480 squared (901380150464684802) is 8124861756517378096693719633510400
- 90138015046468480 cubed (901380150464684803) is 732358911259439750675942604469805114771385352192000
-
The
square root of 90138015046468480 is 300229936.9591055289 -
The
cube root of 90138015046468480 is 448369.4322098155
Scales and comparisons
How big is 90138015046468480?- 90,138,015,046,468,480 seconds is equal to 2,866,110,063 years, 15 weeks, 19 hours, 54 minutes, 40 seconds.
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To count from 1 to 90,138,015,046,468,480 would take you about eight billion, five hundred ninety-eight million, three hundred thirty thousand, one hundred eighty-nine 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 90138015046468480 cubic inches would be around 37364.1 feet tall.
Recreational maths with 90138015046468480
- 90138015046468480 backwards is 08486464051083109
- The number of decimal digits it has is: 17
- The sum of 90138015046468480's digits is 67
- More coming soon!
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The information we have on file for 90138015046468480 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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