13128706684585373200
13,128,706,684,585,373,200 is an even composite number composed of eight prime numbers multiplied together.
13128706684585373200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13128706684585373200:
24 × 52 × 112 × 17 × 612 × 127 × 439 × 76913
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 17 × 61 × 61 × 127 × 439 × 76913)See below for interesting mathematical facts about the number 13128706684585373200 from the Numbermatics database.
Names of 13128706684585373200
- Cardinal: 13128706684585373200 can be written as Thirteen quintillion, one hundred twenty-eight quadrillion, seven hundred six trillion, six hundred eighty-four billion, five hundred eighty-five million, three hundred seventy-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.31287066845853732 × 1019
Factors of 13128706684585373200
Divisors of 13128706684585373200
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 61 68 80 85 88 100 110 121 122 127 136 170 176 187 200 220 242 244 254 272 275 305 340 374 400 425 439 440 484 488 508 550 605 610 635 671 680 748 850 878 880 935 968 976 1016 1037 1100 1210 1220 1270 1342 1360 1397 1496 1525 1700 1756 1870 1936 2032 2057 2074 2159 2195 2200 2420 2440 2540 2684 2794 2992 3025 3050 3175 3355 3400 3512 3721 3740 4114 4148 4318 4390 4400 4675 4829 4840 4880 5080 5185 5368 5588 6050 6100 6350 6710 6800 6985 7024 7381 7442 7463 7480 7747 8228 8296 8636 8780 9350 9658 9680 10160 10285 10370 10736 10795 10975 11176 11407 12100 12200 12700 13420 13970 14762 14884 14926 14960 15367 15494 16456 16592 16775 17272 17560 18605 18700 19316 20570 20740 21590 21950 22352 22814 23749 24145 24200 24400 25400 25925 26779 26840 27940 29524 29768 29852 30734 30988 32912 33550 34544 34925 35120 36905 37210 37315 37400 38632 38735 40931 41140 41480 43180 43900 45628 47498 48290 48400 50800 51425 51850 53119 53558 53680 53975 55753 55880 57035 59048 59536 59704 61468 61976 63257 67100 69850 73810 74420 74630 74800 76835 76913 77264 77470 81862 82093 82280 82960 85217 86360 87800 91256 93025 94996 96580 102850 103700 106238 107116 107950 111506 111760 114070 118096 118745 119408 120725 122936 123952 125477 126514 131699 133895 134200 139700 147620 148840 149260 153670 153826 154940 163724 164186 164560 170434 172720 175600 182512 184525 186050 186575 189992 193160 193675 204655 205700 207400 212476 214232 215900 223012 228140 237490 241450 245872 250954 253028 261239 263398 265595 267790 268400 278765 279400 285175 294569 295240 297680 298520 307340 307652 309880 316285 327448 328372 340868 369050 372100 373150 379984 384175 384565 386320 387350 409310 410465 411400 414800 424952 426085 428464 431800 446024 450241 455243 456280 472567 474980 482900 501908 506056 522478 526796 531190 535580 557530 558800 570350 589138 590480 593725 597040 613283 614680 615304 619760 627385 632570 654896 656744 658495 669475 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42673887004100 42717207927980 43979320261910 44103422079365 44467913170930 44569206822800 46037368929904 46988928720778 47095965004880 48914704488023 49026127505080 49431302112560 49843608093400 50255538738800 51886378916900 52315191965800 53396509909975 54374432323816 55281092612680 57546711162380 58869956256100 60809201873948 61282659381350 61789127640700 63301382278618 63824534198276 64150432115440 67787307007024 67968040404770 69101365765850 70366912419056 70565475326984 71148661073488 71933388952975 74764844445247 76011502342435 77031030689800 79780667747845 79962400476200 80188040144300 84734133758780 85347774008200 85434415855960 87958640523820 88206844158730 88935826341860 93977857441556 97829408976046 98052255010160 99687216186800 103772757833800 104630383931600 105917667198475 106793019819950 108748864647632 109948300654775 110562185225360 111169782927325 115093422324760 117472321801945 117739912512200 121618403747896 122565318762700 123578255281400 126602764557236 127649068396552 135936080809540 138202731531700 141130950653968 143866777905950 149529688890494 152023004684870 154062061379600 158253455696545 159561335495690 159924800952400 160376080288600 169468267517560 169920101011925 170695548016400 170868831711920 175517469045259 175917281047640 176413688317460 177871652683720 187955714883112 195658817952092 207545515667600 211835334396950 213586039639900 219896601309550 220517110396825 222339565854650 230186844649520 234944643603890 235479825024400 243236807495792 244573522440115 245130637525400 247156510562800 253205529114472 255298136793104 258439107964279 271254270342673 271872161619080 276405463063400 287733555811900 299059377780988 304046009369740 316506911393090 319122670991380 320752160577200 338936535035120 339840202023850 351034938090518 351834562095280 352827376634920 355743305367440 373824222226235 375911429766224 380057511712175 391317635904184 398903338739225 423670668793900 427172079279800 439793202619100 441034220793650 444679131709300 469889287207780 489147044880230 490261275050800 506411058228944 516878215928558 538061749368253 542508540685346 543744323238160 552810926126800 575467111623800 587361609009725 598118755561976 608092018739480 633013822786180 638245341982760 679680404047700 702069876181036 705654753269840 747648444452470 760115023424350 782635271808368 791267278482725 797806677478450 847341337587800 854344158559600 877587345226295 879586405238200 882068441587300 889358263418600 939778574415560 978294089760460 1033756431857116 1076123498736506 1085017081370692 1150934223247600 1174723218019450 1196237511123952 1216184037478960 1222867612200575 1266027645572360 1276490683965520 1292195539821395 1356271351713365 1359360808095400 1404139752362072 1495296888904940 1520230046848700 1582534556965450 1595613354956900 1694682675175600 1755174690452590 1759172810476400 1764136883174600 1778716526837200 1869121111131175 1879557148831120 1930692159497849 1956588179520920 2067512863714232 2152246997473012 2170034162741384 2349446436038900 2445735224401150 2532055291144720 2584391079642790 2690308746841265 2712542703426730 2718721616190800 2808279504724144 2983796973769403 2990593777809880 3040460093697400 3165069113930900 3191226709913800 3510349380905180 3528273766349200 3738242222262350 3861384318995698 3913176359041840 4135025727428464 4304493994946024 4340068325482768 4387936726131475 4698892872077800 4891470448802300 5168782159285580 5380617493682530 5425085406853460 5967593947538806 5981187555619760 6080920187394800 6330138227861800 6382453419827600 6460977699106975 6781356758566825 7020698761810360 7476484444524700 7722768637991396 8608987989892048 8775873452262950 9397785744155600 9653460797489245 9782940897604600 10337564318571160 10761234987365060 10850170813706920 11935187895077612 12660276455723600 12921955398213950 13451543734206325 13562713517133650 14041397523620720 14918984868847015 14952968889049400 15445537275982792 17551746904525900 19306921594978490 19565881795209200 20675128637142320 21522469974730120 21700341627413840 23870375790155224 25843910796427900 26903087468412650 27125427034267300 29837969737694030 29905937778098800 30891074551965584 32821766711463433 35103493809051800 38613843189956980 43044939949460240 47740751580310448 48267303987446225 51687821592855800 53806174936825300 54250854068534600 59675939475388060 65643533422926866 70206987618103600 74594924344235075 77227686379913960 96534607974892450 103375643185711600 107612349873650600 108501708137069200 119351878950776120 131287066845853732 149189848688470150 154455372759827920 164108833557317165 193069215949784900 215224699747301200 238703757901552240 262574133691707464 298379697376940300 328217667114634330 386138431899569800 525148267383414928 596759394753880600 656435334229268660 772276863799139600 820544167786585825 1193518789507761200 1312870668458537320 1641088335573171650 2625741336917074640 3282176671146343300 6564353342292686600 13128706684585373200
- Sum of all divisors σ(n): 37700917468809154560
- Sum of proper divisors (its aliquot sum) s(n): 24572210784223781360
- 13128706684585373200 is an abundant number, because the sum of its proper divisors (24572210784223781360) is greater than itself. Its abundance is 11443504099638408160
Bases of 13128706684585373200
- Binary: 10110110001100101000100100101011101101110000000111101110000100002
- Hexadecimal: 0xB632892BB701EE10
- Base-36: 2RQUI3WM0O00G
Squares and roots of 13128706684585373200
- 13128706684585373200 squared (131287066845853732002) is 172362939209876661943291599383278240000
- 13128706684585373200 cubed (131287066845853732003) is 2262902472179490055757191822991358129383863769839168000000
-
The
square root of 13128706684585373200 is 3623355721.5080847207 -
The
cube root of 13128706684585373200 is 2359069.0264455259
Scales and comparisons
How big is 13128706684585373200?- 13,128,706,684,585,373,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,128,706,684,585,373,200 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13128706684585373200 cubic inches would be around 196589.1 feet tall.
Recreational maths with 13128706684585373200
- 13128706684585373200 backwards is 00237358548660782131
- The number of decimal digits it has is: 20
- The sum of 13128706684585373200's digits is 79
- More coming soon!
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"Number 13128706684585373200 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 13128706684585373200 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/13128706684585373200/
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The information we have on file for 13128706684585373200 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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