90138168228480000
90,138,168,228,480,000 is an even composite number composed of six prime numbers multiplied together.
90138168228480000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred eighty divisors.
Prime factorization of 90138168228480000:
210 × 3 × 54 × 31 × 24133 × 62753
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 31 × 24133 × 62753)See below for interesting mathematical facts about the number 90138168228480000 from the Numbermatics database.
Names of 90138168228480000
- Cardinal: 90138168228480000 can be written as Ninety quadrillion, one hundred thirty-eight trillion, one hundred sixty-eight billion, two hundred twenty-eight million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 9.013816822848 × 1016
Factors of 90138168228480000
Divisors of 90138168228480000
- Number of divisors d(n): 880
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 75 80 93 96 100 120 124 125 128 150 155 160 186 192 200 240 248 250 256 300 310 320 372 375 384 400 465 480 496 500 512 600 620 625 640 744 750 768 775 800 930 960 992 1000 1024 1200 1240 1250 1280 1488 1500 1536 1550 1600 1860 1875 1920 1984 2000 2325 2400 2480 2500 2560 2976 3000 3072 3100 3200 3720 3750 3840 3875 3968 4000 4650 4800 4960 5000 5120 5952 6000 6200 6400 7440 7500 7680 7750 7936 8000 9300 9600 9920 10000 11625 11904 12000 12400 12800 14880 15000 15360 15500 15872 16000 18600 19200 19375 19840 20000 23250 23808 24000 24133 24800 25600 29760 30000 31000 31744 32000 37200 38400 38750 39680 40000 46500 47616 48000 48266 49600 58125 59520 60000 62000 62753 64000 72399 74400 76800 77500 79360 80000 93000 95232 96000 96532 99200 116250 119040 120000 120665 124000 125506 128000 144798 148800 155000 158720 160000 186000 188259 192000 193064 198400 232500 238080 240000 241330 248000 251012 289596 297600 310000 313765 320000 361995 372000 376518 384000 386128 396800 465000 476160 480000 482660 496000 502024 579192 595200 603325 620000 627530 640000 723990 744000 748123 753036 772256 793600 930000 941295 960000 965320 992000 1004048 1158384 1190400 1206650 1240000 1255060 1447980 1488000 1496246 1506072 1544512 1568825 1809975 1860000 1882590 1920000 1930640 1945343 1984000 2008096 2244369 2316768 2380800 2413300 2480000 2510120 2895960 2976000 2992492 3012144 3016625 3089024 3137650 3619950 3720000 3740615 3765180 3861280 3890686 3968000 4016192 4488738 4633536 4706475 4826600 4960000 5020240 5791920 5836029 5952000 5984984 6024288 6033250 6178048 6275300 7239900 7440000 7481230 7530360 7722560 7781372 7844125 8032384 8977476 9049875 9267072 9412950 9653200 9726715 9920000 10040480 11221845 11583840 11672058 11904000 11969968 12048576 12066500 12356096 12550600 14479800 14880000 14962460 15060720 15083125 15445120 15562744 15688250 16064768 17954952 18099750 18534144 18703075 18825900 19306400 19453430 19840000 20080960 22443690 23167680 23344116 23532375 23939936 24097152 24133000 24712192 25101200 28959600 29180145 29760000 29924920 30121440 30166250 30890240 31125488 31376500 32129536 35909904 36199500 37068288 37406150 37651800 38612800 38906860 39220625 40161920 44887380 45249375 46335360 46688232 47064750 47879872 48194304 48266000 48633575 50202400 56109225 57919200 58360290 59520000 59849840 60242880 60332500 61780480 62250976 62753000 64259072 71819808 72399000 74136576 74812300 75303600 77225600 77813720 78441250 80323840 89774760 90498750 92670720 93376464 93515375 94129500 95759744 96388608 96532000 97267150 100404800 112218450 115838400 116720580 117661875 119699680 120485760 120665000 123560960 124501952 125506000 143639616 144798000 145900725 149624600 150607200 154451200 155627440 156882500 160647680 179549520 180997500 185341440 186752928 187030750 188259000 191519488 192777216 193064000 194534300 200809600 224436900 231676800 233441160 235323750 239399360 240971520 241330000 243167875 249003904 251012000 280546125 287279232 289596000 291801450 299249200 301214400 308902400 311254880 313765000 321295360 359099040 361995000 370682880 373505856 374061500 376518000 383038976 386128000 389068600 401619200 448873800 463353600 466882320 467576875 470647500 478798720 481943040 482660000 486335750 498007808 502024000 561092250 574558464 579192000 583602900 598498400 602428800 617804800 622509760 627530000 718198080 723990000 729503625 747011712 748123000 753036000 766077952 772256000 778137200 803238400 897747600 926707200 933764640 935153750 941295000 957597440 963886080 965320000 972671500 996015616 1004048000 1122184500 1149116928 1158384000 1167205800 1196996800 1204857600 1215839375 1245019520 1255060000 1402730625 1436396160 1447980000 1459007250 1494023424 1496246000 1506072000 1514418149 1544512000 1556274400 1606476800 1795495200 1853414400 1867529280 1870307500 1882590000 1915194880 1930640000 1945343000 1992031232 2008096000 2244369000 2298233856 2316768000 2334411600 2393993600 2409715200 2431678750 2490039040 2510120000 2805461250 2872792320 2895960000 2918014500 2988046848 2992492000 3012144000 3028836298 3089024000 3112548800 3590990400 3647518125 3735058560 3740615000 3765180000 3830389760 3861280000 3890686000 4016192000 4488738000 4543254447 4633536000 4668823200 4787987200 4819430400 4863357500 4980078080 5020240000 5610922500 5745584640 5791920000 5836029000 5976093696 5984984000 6024288000 6057672596 6225097600 7181980800 7295036250 7470117120 7481230000 7530360000 7572090745 7722560000 7781372000 8032384000 8977476000 9086508894 9267072000 9337646400 9575974400 9726715000 9960156160 10040480000 11221845000 11491169280 11583840000 11672058000 11969968000 12048576000 12115345192 12450195200 14363961600 14590072500 14940234240 14962460000 15060720000 15144181490 15445120000 15562744000 17954952000 18173017788 18675292800 19151948800 19453430000 20080960000 22443690000 22716272235 23167680000 23344116000 23939936000 24097152000 24230690384 24900390400 28727923200 29180145000 29880468480 29924920000 30121440000 30288362980 31125488000 35909904000 36346035576 37350585600 37860453725 38906860000 40161920000 44887380000 45432544470 46335360000 46688232000 46946962619 47879872000 48461380768 49800780800 57455846400 58360290000 59849840000 60242880000 60576725960 62250976000 71819808000 72692071152 74701171200 75720907450 77813720000 89774760000 90865088940 93376464000 93893925238 95759744000 96922761536 113581361175 116720580000 119699680000 120485760000 121153451920 124501952000 140840887857 143639616000 145384142304 149402342400 151441814900 155627440000 179549520000 181730177880 186752928000 187787850476 189302268625 193845523072 227162722350 233441160000 234734813095 239399360000 242306903840 249003904000 281681775714 287279232000 290768284608 302883629800 311254880000 359099040000 363460355760 373505856000 375575700952 378604537250 387691046144 454325444700 466882320000 469469626190 478798720000 484613807680 563363551428 567906805875 581536569216 605767259600 622509760000 704204439285 718198080000 726920711520 747011712000 751151401904 757209074500 775382092288 908650889400 933764640000 938939252380 946511343125 969227615360 1126727102856 1135813611750 1163073138432 1173674065475 1211534519200 1245019520000 1408408878570 1436396160000 1453841423040 1502302803808 1514418149000 1550764184576 1817301778800 1867529280000 1877878504760 1893022686250 1938455230720 2253454205712 2271627223500 2326146276864 2347348130950 2423069038400 2816817757140 2839534029375 2907682846080 3004605607616 3028836298000 3521022196425 3634603557600 3735058560000 3755757009520 3786045372500 3876910461440 4506908411424 4543254447000 4652292553728 4694696261900 4846138076800 5633635514280 5679068058750 5815365692160 5868370327375 6009211215232 6057672596000 7042044392850 7269207115200 7511514019040 7572090745000 7753820922880 9013816822848 9086508894000 9389392523800 9692276153600 11267271028560 11358136117500 11630731384320 11736740654750 12018422430464 12115345192000 14084088785700 14538414230400 15023028038080 15144181490000 17605110982125 18027633645696 18173017788000 18778785047600 19384552307200 22534542057120 22716272235000 23261462768640 23473481309500 24036844860928 24230690384000 28168177571400 29076828460800 29341851636875 30046056076160 30288362980000 35210221964250 36055267291392 36346035576000 37557570095200 38769104614400 45069084114240 45432544470000 46946962619000 48073689721856 48461380768000 56336355142800 58153656921600 58683703273750 60092112152320 60576725960000 70420443928500 72110534582784 72692071152000 75115140190400 88025554910625 90138168228480 90865088940000 93893925238000 96922761536000 112672710285600 116307313843200 117367406547500 120184224304640 121153451920000 140840887857000 144221069165568 145384142304000 150230280380800 176051109821250 180276336456960 181730177880000 187787850476000 193845523072000 225345420571200 234734813095000 240368448609280 242306903840000 281681775714000 290768284608000 300460560761600 352102219642500 360552672913920 363460355760000 375575700952000 450690841142400 469469626190000 484613807680000 563363551428000 581536569216000 600921121523200 704204439285000 721105345827840 726920711520000 751151401904000 901381682284800 938939252380000 969227615360000 1126727102856000 1201842243046400 1408408878570000 1453841423040000 1502302803808000 1802763364569600 1877878504760000 2253454205712000 2816817757140000 2907682846080000 3004605607616000 3605526729139200 3755757009520000 4506908411424000 5633635514280000 6009211215232000 7511514019040000 9013816822848000 11267271028560000 15023028038080000 18027633645696000 22534542057120000 30046056076160000 45069084114240000 90138168228480000
- Sum of all divisors σ(n): 309919974731321856
- Sum of proper divisors (its aliquot sum) s(n): 219781806502841856
- 90138168228480000 is an abundant number, because the sum of its proper divisors (219781806502841856) is greater than itself. Its abundance is 129643638274361856
Bases of 90138168228480000
- Binary: 1010000000011110000101111101110011111011010000100000000002
- Hexadecimal: 0x1403C2FB9F68400
- Base-36: ONJBATSP7UO
Squares and roots of 90138168228480000
- 90138168228480000 squared (901381682284800002) is 8124889371585761301483110400000000
- 90138168228480000 cubed (901381682284800003) is 732362645013786502220897996560608264192000000000000
-
The
square root of 90138168228480000 is 300230192.0668206211 -
The
cube root of 90138168228480000 is 448369.6861984447
Scales and comparisons
How big is 90138168228480000?- 90,138,168,228,480,000 seconds is equal to 2,866,114,934 years, 1 day, 18 hours, 40 minutes.
-
To count from 1 to 90,138,168,228,480,000 would take you about eight billion, five hundred ninety-eight million, three hundred forty-four thousand, eight hundred 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 90138168228480000 cubic inches would be around 37364.1 feet tall.
Recreational maths with 90138168228480000
- 90138168228480000 backwards is 00008482286183109
- 90138168228480000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 90138168228480000's digits is 60
- More coming soon!
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The information we have on file for 90138168228480000 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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