13728573127594200
13,728,573,127,594,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 13728573127594200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
13728573127594200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13728573127594200:
23 × 3 × 52 × 17 × 613 × 1813
(2 × 2 × 2 × 3 × 5 × 5 × 17 × 61 × 61 × 61 × 181 × 181 × 181)See below for interesting mathematical facts about the number 13728573127594200 from the Numbermatics database.
Names of 13728573127594200
- Cardinal: 13728573127594200 can be written as Thirteen quadrillion, seven hundred twenty-eight trillion, five hundred seventy-three billion, one hundred twenty-seven million, five hundred ninety-four thousand, two hundred.
Scientific notation
- Scientific notation: 1.37285731275942 × 1016
Factors of 13728573127594200
Divisors of 13728573127594200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 61 68 75 85 100 102 120 122 136 150 170 181 183 200 204 244 255 300 305 340 362 366 408 425 488 510 543 600 610 680 724 732 850 905 915 1020 1037 1086 1220 1275 1448 1464 1525 1700 1810 1830 2040 2074 2172 2440 2550 2715 3050 3077 3111 3400 3620 3660 3721 4148 4344 4525 4575 5100 5185 5430 6100 6154 6222 7240 7320 7442 8296 9050 9150 9231 10200 10370 10860 11041 11163 12200 12308 12444 13575 14884 15385 15555 18100 18300 18462 18605 20740 21720 22082 22326 24616 24888 25925 27150 29768 30770 31110 32761 33123 36200 36600 36924 37210 41480 44164 44652 46155 51850 54300 55205 55815 61540 62220 63257 65522 66246 73848 74420 76925 77775 88328 89304 92310 93025 98283 103700 108600 110410 111630 123080 124440 126514 131044 132492 148840 153850 155550 163805 165615 184620 186050 187697 189771 196566 207400 220820 223260 226981 230775 253028 262088 264984 276025 279075 307700 311100 316285 327610 331230 369240 372100 375394 379542 393132 441640 446520 453962 461550 491415 506056 552050 556937 558150 563091 615400 622200 632570 655220 662460 673501 680943 744200 750788 759084 786264 819025 828075 907924 923100 938485 948855 982830 1104100 1113874 1116300 1126182 1134905 1265140 1310440 1324920 1347002 1361886 1501576 1518168 1581425 1638050 1656150 1670811 1815848 1846200 1876970 1897710 1965660 1998421 2020503 2208200 2227748 2232600 2252364 2269810 2457075 2530280 2694004 2723772 2784685 2815455 3162850 3276100 3312300 3341622 3367505 3404715 3753940 3795420 3858677 3931320 3996842 4041006 4455496 4504728 4539620 4692425 4744275 4914150 5388008 5447544 5569370 5630910 5674525 5929741 5995263 6325700 6552200 6624600 6683244 6735010 6809430 7507880 7590840 7717354 7993684 8082012 8354055 9079240 9384850 9488550 9828300 9992105 10102515 11138740 11261820 11349050 11449517 11576031 11859482 11990526 12651400 13366488 13470020 13618860 13923425 14077275 15434708 15987368 16164024 16708110 16837525 17023575 17789223 18769700 18977100 19293385 19656600 19984210 20205030 22277480 22523640 22698100 22899034 23152062 23718964 23981052 26940040 27237720 27846850 28154550 29648705 29976315 30869416 33416220 33675050 33973157 34047150 34348551 35578446 37539400 37954200 38586770 39968420 40410060 41083561 41770275 45396200 45798068 46304124 47437928 47962104 49960525 50512575 55693700 56309100 57247585 57880155 59297410 59952630 66832440 67350100 67946314 68094300 68697102 71156892 77173540 79936840 80820120 82167122 83540550 88946115 91596136 92608248 96466925 99921050 100805597 101025150 101919471 111387400 112618200 114495170 115760310 118594820 119905260 121903681 123250683 134700200 135892628 136188600 137394204 142313784 148243525 149881575 154347080 164334244 167081100 169865785 171742755 177892230 192933850 199842100 201611194 202050300 203838942 205417805 228990340 231520620 237189640 239810520 243807362 246501366 271785256 274788408 286237925 289400775 296487050 299763150 302416791 328668488 334162200 339731570 343485510 355784460 361714201 365711043 385867700 399684200 403222388 404100600 407677884 410835610 444730575 457980680 463041240 487614724 493002732 504027985 509597355 572475850 578801550 592974100 599526300 604833582 609518405 616253415 679463140 686971020 698420537 711568920 723428402 731422086 771735400 806444776 815355768 821671220 849328925 858713775 889461150 975229448 986005464 1008055970 1019194710 1027089025 1085142603 1144951700 1157603100 1185948200 1199052600 1209667164 1219036810 1232506830 1358926280 1373942040 1396841074 1446856804 1462844172 1512083955 1643342440 1698657850 1717427550 1778922300 1808571005 1828555215 2016111940 2038389420 2054178050 2072362577 2095261611 2170285206 2289903400 2315206200 2419334328 2438073620 2465013660 2520139925 2547986775 2793682148 2893713608 2925688344 3024167910 3047592025 3081267075 3397315700 3434855100 3492102685 3557844600 3617142010 3657110430 4032223880 4076778840 4108356100 4144725154 4190523222 4340570412 4876147240 4930027320 5040279850 5095973550 5425713015 5587364296 6048335820 6095184050 6149141417 6162534150 6217087731 6794631400 6869710200 6984205370 7234284020 7314220860 7436124541 7560419775 8216712200 8289450308 8381046444 8681140824 9042855025 9142776075 10080559700 10191947100 10361812885 10476308055 10851426030 12096671640 12190368100 12298282834 12325068300 12434175462 13968410740 14468568040 14628441720 14872249082 15120839550 16578900616 16762092888 17460513425 18085710050 18285552150 18447424251 20161119400 20383894200 20723625770 20952616110 21702852060 22064566261 22308373623 24380736200 24596565668 24650136600 24868350924 27128565075 27936821480 29744498164 30241679100 30745707085 31085438655 34921026850 36171420100 36571104300 36894848502 37180622705 41447251540 41905232220 43405704120 44129132522 44616747246 49193131336 49736701848 51809064425 52381540275 54257130150 59488996328 60483358200 61491414170 62170877310 66193698783 69842053700 72342840200 73142208600 73789697004 74361245410 82894503080 83810464440 88258265044 89233494492 92237121255 103618128850 104763080550 108514260300 110322831305 111541868115 122982828340 124341754620 126414117197 132387397566 139684107400 147579394008 148722490820 153728535425 155427193275 176516530088 178466988984 184474242510 185903113525 207236257700 209526161100 217028520600 220645662610 223083736230 245965656680 248683509240 252828234394 264774795132 297444981640 307457070850 310854386550 330968493915 368948485020 371806227050 375097626437 379242351591 414472515400 419052322200 441291325220 446167472460 461185606275 505656468788 529549590264 551614156525 557709340575 614914141700 621708773100 632070585985 661936987830 737896970040 743612454100 750195252874 758484703182 882582650440 892334944920 922371212550 1011312937576 1103228313050 1115418681150 1125292879311 1229828283400 1243417546200 1264141171970 1323873975660 1345938541921 1487224908200 1500390505748 1516969406364 1654842469575 1844742425100 1875488132185 1896211757955 2206456626100 2230837362300 2250585758622 2528282343940 2647747951320 2691877083842 3000781011496 3033938812728 3160352929925 3309684939150 3689484850200 3750976264370 3792423515910 4037815625763 4412913252200 4461674724600 4501171517244 5056564687880 5383754167684 5626464396555 6320705859850 6619369878300 6729692709605 7501952528740 7584847031820 8075631251526 9002343034488 9377440660925 9481058789775 10767508335368 11252928793110 12641411719700 13238739756600 13459385419210 15003905057480 15169694063640 16151262503052 18754881321850 18962117579550 20189078128815 22505857586220 22880955212657 25282823439400 26918770838420 28132321982775 32302525006104 33648463548025 37509762643700 37924235159100 40378156257630 45011715172440 45761910425314 53837541676840 56264643965550 67296927096050 68642865637971 75019525287400 75848470318200 80756312515260 91523820850628 100945390644075 112529287931100 114404776063285 134593854192100 137285731275942 161512625030520 183047641701256 201890781288150 225058575862200 228809552126570 269187708384200 274571462551884 343214328189855 403781562576300 457619104253140 549142925103768 572023880316425 686428656379710 807563125152600 915238208506280 1144047760632850 1372857312759420 1716071640949275 2288095521265700 2745714625518840 3432143281898550 4576191042531400 6864286563797100 13728573127594200
- Sum of all divisors σ(n): 46067569698084480
- Sum of proper divisors (its aliquot sum) s(n): 32338996570490280
- 13728573127594200 is an abundant number, because the sum of its proper divisors (32338996570490280) is greater than itself. Its abundance is 18610423442896080
Bases of 13728573127594200
- Binary: 1100001100011000010000100001001000101100010000110110002
- Hexadecimal: 0x30C610848B10D8
- Base-36: 3R6DFFEWYJC
Squares and roots of 13728573127594200
- 13728573127594200 squared (137285731275942002) is 188473720119701594433479873640000
- 13728573127594200 cubed (137285731275942003) is 2587475249293045617093651269761833413196888000000
-
The
square root of 13728573127594200 is 117168993.8831694501 -
The
cube root of 13728573127594200 is 239446.4855604743
Scales and comparisons
How big is 13728573127594200?- 13,728,573,127,594,200 seconds is equal to 436,526,160 years, 10 weeks, 2 hours, 50 minutes.
-
To count from 1 to 13,728,573,127,594,200 would take you about one billion, three hundred nine million, five hundred seventy-eight thousand, four hundred eighty 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 13728573127594200 cubic inches would be around 19953.9 feet tall.
Recreational maths with 13728573127594200
- 13728573127594200 backwards is 00249572137582731
- The number of decimal digits it has is: 17
- The sum of 13728573127594200's digits is 66
- More coming soon!
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The information we have on file for 13728573127594200 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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