13538985267691520
13,538,985,267,691,520 is an even composite number composed of six prime numbers multiplied together.
What does the number 13538985267691520 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
13538985267691520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13538985267691520:
223 × 5 × 7 × 132 × 29 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 13 × 29 × 97 × 97)See below for interesting mathematical facts about the number 13538985267691520 from the Numbermatics database.
Names of 13538985267691520
- Cardinal: 13538985267691520 can be written as Thirteen quadrillion, five hundred thirty-eight trillion, nine hundred eighty-five billion, two hundred sixty-seven million, six hundred ninety-one thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.353898526769152 × 1016
Factors of 13538985267691520
Divisors of 13538985267691520
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 29 32 35 40 52 56 58 64 65 70 80 91 97 104 112 116 128 130 140 145 160 169 182 194 203 208 224 232 256 260 280 290 320 338 364 377 388 406 416 448 455 464 485 512 520 560 580 640 676 679 728 754 776 812 832 845 896 910 928 970 1015 1024 1040 1120 1160 1183 1261 1280 1352 1358 1456 1508 1552 1624 1664 1690 1792 1820 1856 1885 1940 2030 2048 2080 2240 2320 2366 2522 2560 2639 2704 2716 2813 2912 3016 3104 3248 3328 3380 3395 3584 3640 3712 3770 3880 4060 4096 4160 4480 4640 4732 4901 5044 5120 5278 5408 5432 5626 5824 5915 6032 6208 6305 6496 6656 6760 6790 7168 7280 7424 7540 7760 8120 8192 8320 8827 8960 9280 9409 9464 9802 10088 10240 10556 10816 10864 11252 11648 11830 12064 12416 12610 12992 13195 13312 13520 13580 14065 14336 14560 14848 15080 15520 16240 16384 16393 16640 17654 17920 18560 18818 18928 19604 19691 20176 20480 21112 21632 21728 22504 23296 23660 24128 24505 24832 25220 25984 26390 26624 27040 27160 28130 28672 29120 29696 30160 31040 32480 32768 32786 33280 34307 35308 35840 36569 37120 37636 37856 39208 39382 40352 40960 42224 43264 43456 44135 45008 46592 47045 47320 48256 49010 49664 50440 51968 52780 53248 54080 54320 56260 57344 58240 59392 60320 62080 64960 65536 65572 65863 66560 68614 70616 71680 73138 74240 75272 75712 78416 78764 80704 81920 81965 84448 86528 86912 88270 90016 93184 94090 94640 96512 98020 98455 99328 100880 103936 105560 106496 108160 108640 112520 114688 114751 116480 118784 120640 122317 124160 129920 131072 131144 131726 133120 137228 141232 143360 146276 148480 150544 151424 156832 157528 161408 163840 163930 168896 171535 173056 173824 176540 180032 182845 186368 188180 189280 193024 196040 196910 198656 201760 207872 211120 212992 216320 217280 225040 229376 229502 232960 237568 241280 244634 248320 255983 259840 262144 262288 263452 266240 272861 274456 282464 286720 292552 296960 301088 302848 313664 315056 322816 327680 327860 329315 337792 343070 346112 347648 353080 360064 365690 372736 376360 378560 386048 392080 393820 397312 403520 415744 422240 425984 432640 434560 450080 458752 459004 465920 475136 475397 482560 489268 496640 511966 519680 524288 524576 526904 532480 545722 548912 564928 573440 573755 585104 593920 602176 605696 611585 627328 630112 645632 655360 655720 658630 675584 686140 692224 695296 706160 720128 731380 745472 752720 757120 772096 784160 787640 794624 807040 831488 844480 851968 856219 865280 869120 900160 917504 918008 931840 950272 950794 965120 978536 993280 1023932 1039360 1048576 1049152 1053808 1064960 1091444 1097824 1129856 1146880 1147510 1170208 1187840 1204352 1211392 1223170 1254656 1260224 1279915 1291264 1310720 1311440 1317260 1351168 1364305 1372280 1384448 1390592 1412320 1440256 1462760 1490944 1505440 1514240 1544192 1568320 1575280 1589248 1590121 1614080 1662976 1688960 1703936 1712438 1730560 1738240 1800320 1835008 1836016 1863680 1900544 1901588 1910027 1930240 1957072 1986560 2047864 2078720 2097152 2098304 2107616 2129920 2182888 2195648 2259712 2293760 2295020 2340416 2375680 2376985 2408704 2422784 2446340 2509312 2520448 2559830 2582528 2621440 2622880 2634520 2702336 2728610 2744560 2768896 2781184 2824640 2880512 2925520 2981888 3010880 3028480 3088384 3136640 3150560 3178496 3180242 3228160 3325952 3327779 3377920 3407872 3424876 3461120 3476480 3547193 3600640 3670016 3672032 3727360 3801088 3803176 3820054 3860480 3914144 3973120 4095728 4157440 4194304 4196608 4215232 4259840 4281095 4365776 4391296 4519424 4587520 4590040 4680832 4751360 4753970 4817408 4845568 4892680 5018624 5040896 5119660 5165056 5242880 5245760 5269040 5404672 5457220 5489120 5537792 5562368 5649280 5761024 5851040 5963776 6021760 6056960 6176768 6273280 6301120 6356992 6360484 6456320 6651904 6655558 6755840 6815744 6849752 6922240 6952960 7094386 7201280 7340032 7344064 7454720 7602176 7606352 7640108 7720960 7828288 7946240 7950605 8191456 8314880 8388608 8393216 8430464 8519680 8562190 8731552 8782592 9038848 9175040 9180080 9361664 9502720 9507940 9550135 9634816 9691136 9785360 10037248 10081792 10239320 10330112 10485760 10491520 10538080 10809344 10914440 10978240 11075584 11124736 11130847 11298560 11522048 11702080 11927552 12043520 12113920 12353536 12546560 12602240 12713984 12720968 12912640 13303808 13311116 13511680 13631488 13699504 13844480 13905920 14188772 14402560 14680064 14688128 14909440 15204352 15212704 15280216 15441920 15656576 15892480 15901210 16382912 16629760 16638895 16786432 16860928 17039360 17124380 17463104 17565184 17735965 18077696 18350080 18360160 18723328 19005440 19015880 19100270 19269632 19382272 19570720 20074496 20163584 20478640 20660224 20971520 20983040 21076160 21618688 21828880 21956480 22151168 22249472 22261694 22597120 23044096 23404160 23855104 24087040 24227840 24707072 24830351 25093120 25204480 25427968 25441936 25825280 26607616 26622232 27023360 27262976 27399008 27688960 27811840 28377544 28805120 29360128 29376256 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58992885760 59025291520 60162572288 62311235584 62587764736 63565698560 64129335296 65131356160 67104407552 68152913920 68757225472 69062361088 70141460480 71528873984 71946993664 72646512640 74046242816 75203215360 76690751488 77889044480 78234705920 78928412672 80161669120 82590040064 82635408128 83880509440 85946531840 86327951360 89411092480 89933742080 91183898624 92557803520 94440466432 95863439360 98660515840 101705117696 102781419520 103237550080 103294260160 104210169856 109044662272 110687682560 112226336768 113979873280 116234420224 117985771520 118050583040 120325144576 124622471168 125175529472 127131397120 128258670592 130262712320 134208815104 136305827840 137514450944 138124722176 140282920960 143057747968 143893987328 145293025280 150406430720 153381502976 155778088960 156469411840 160323338240 165180080128 165270816256 167761018880 171893063680 172655902720 178822184960 179867484160 182367797248 185115607040 188880932864 191726878720 197321031680 203410235392 205562839040 206475100160 206588520320 208420339712 218089324544 224452673536 227959746560 232468840448 236101166080 240650289152 249244942336 250351058944 254262794240 256517341184 260525424640 268417630208 272611655680 276249444352 280565841920 286115495936 287787974656 290586050560 300812861440 306763005952 311556177920 312938823680 320646676480 330541632512 335522037760 343786127360 345311805440 357644369920 359734968320 364735594496 370231214080 377761865728 383453757440 394642063360 406820470784 412950200320 413177040640 416840679424 436178649088 448905347072 455919493120 464937680896 472202332160 481300578304 498489884672 500702117888 508525588480 513034682368 521050849280 536835260416 545223311360 552498888704 561131683840 572230991872 581172101120 601625722880 623112355840 625877647360 641293352960 661083265024 671044075520 687572254720 690623610880 715288739840 719469936640 729471188992 755523731456 766907514880 813640941568 825900400640 826354081280 833681358848 872357298176 897810694144 911838986240 929875361792 944404664320 962601156608 996979769344 1001404235776 1017051176960 1026069364736 1042101698560 1073670520832 1090446622720 1122263367680 1144461983744 1162344202240 1203251445760 1246224711680 1251755294720 1282586705920 1322166530048 1342088151040 1381247221760 1430577479680 1438939873280 1458942377984 1511047462912 1533815029760 1627281883136 1652708162560 1667362717696 1744714596352 1795621388288 1823677972480 1859750723584 1888809328640 1993959538688 2002808471552 2034102353920 2084203397120 2147341041664 2180893245440 2244526735360 2288923967488 2324688404480 2406502891520 2492449423360 2503510589440 2565173411840 2644333060096 2684176302080 2762494443520 2861154959360 2917884755968 3022094925824 3254563766272 3305416325120 3334725435392 3489429192704 3591242776576 3647355944960 3719501447168 3777618657280 3987919077376 4005616943104 4068204707840 4168406794240 4361786490880 4489053470720 4649376808960 4813005783040 4984898846720 5007021178880 5130346823680 5288666120192 5368352604160 5722309918720 5835769511936 6044189851648 6509127532544 6610832650240 6669450870784 6978858385408 7182485553152 7294711889920 7439002894336 7555237314560 8011233886208 8136409415680 8336813588480 8723572981760 8978106941440 9298753617920 9969797693440 10014042357760 10577332240384 10736705208320 11444619837440 11671539023872 12088379703296 13018255065088 13221665300480 13338901741568 13957716770816 14589423779840 14878005788672 15110474629120 16022467772416 16272818831360 16673627176960 17447145963520 17956213882880 18597507235840 19939595386880 20028084715520 21154664480768 23343078047744 24176759406592 26036510130176 26443330600960 27915433541632 29178847559680 29756011577344 30220949258240 32545637662720 33347254353920 34894291927040 35912427765760 37195014471680 40056169431040 42309328961536 46686156095488 48353518813184 52073020260352 52886661201920 58357695119360 60441898516480 65091275325440 66694508707840 69788583854080 74390028943360 80112338862080 84618657923072 93372312190976 96707037626368 104146040520704 105773322403840 116715390238720 120883797032960 130182550650880 139577167708160 148780057886720 169237315846144 193414075252736 208292081041408 211546644807680 233430780477440 241767594065920 260365101301760 338474631692288 386828150505472 423093289615360 466861560954880 483535188131840 520730202603520 676949263384576 846186579230720 967070376263680 1041460405207040 1353898526769152 1692373158461440 1934140752527360 2707797053538304 3384746316922880 6769492633845760 13538985267691520
- Sum of all divisors σ(n): 42031699041477600
- Sum of proper divisors (its aliquot sum) s(n): 28492713773786080
- 13538985267691520 is an abundant number, because the sum of its proper divisors (28492713773786080) is greater than itself. Its abundance is 14953728506094560
Bases of 13538985267691520
- Binary: 1100000001100110100010101001111000000000000000000000002
- Hexadecimal: 0x3019A2A7800000
- Base-36: 3PB63YU55A8
Squares and roots of 13538985267691520
- 13538985267691520 squared (135389852676915202) is 183304122078768019473149879910400
- 13538985267691520 cubed (135389852676915203) is 2481751808331568095657654987015797485032439808000
-
The
square root of 13538985267691520 is 116357145.3228873263 -
The
cube root of 13538985267691520 is 238339.1421642495
Scales and comparisons
How big is 13538985267691520?- 13,538,985,267,691,520 seconds is equal to 430,497,852 years, 35 weeks, 3 days, 1 hour, 25 minutes, 20 seconds.
-
To count from 1 to 13,538,985,267,691,520 would take you about one billion, two hundred ninety-one million, four hundred ninety-three thousand, five hundred fifty-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 13538985267691520 cubic inches would be around 19861.6 feet tall.
Recreational maths with 13538985267691520
- 13538985267691520 backwards is 02519676258983531
- 13538985267691520 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13538985267691520's digits is 80
- More coming soon!
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"Number 13538985267691520 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 13538985267691520 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13538985267691520/
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Numbermatics. 2024. "Number 13538985267691520 - Facts about the integer". https://numbermatics.com/n/13538985267691520/
The information we have on file for 13538985267691520 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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