13505838356736
13,505,838,356,736 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13505838356736 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
13505838356736 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13505838356736:
28 × 32 × 113 × 17 × 31 × 61 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 17 × 31 × 61 × 137)See below for interesting mathematical facts about the number 13505838356736 from the Numbermatics database.
Names of 13505838356736
- Cardinal: 13505838356736 can be written as Thirteen trillion, five hundred five billion, eight hundred thirty-eight million, three hundred fifty-six thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 1.3505838356736 × 1013
Factors of 13505838356736
Divisors of 13505838356736
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 31 32 33 34 36 44 48 51 61 62 64 66 68 72 88 93 96 99 102 121 122 124 128 132 136 137 144 153 176 183 186 187 192 198 204 242 244 248 256 264 272 274 279 288 306 341 352 363 366 372 374 384 396 408 411 484 488 496 527 528 544 548 549 558 561 576 612 671 682 704 726 732 744 748 768 792 816 822 968 976 992 1023 1037 1054 1056 1088 1089 1096 1098 1116 1122 1152 1224 1233 1331 1342 1364 1408 1452 1464 1488 1496 1507 1581 1584 1632 1644 1683 1891 1936 1952 1984 2013 2046 2057 2074 2108 2112 2176 2178 2192 2196 2232 2244 2304 2329 2448 2466 2662 2684 2728 2816 2904 2928 2976 2992 3014 3069 3111 3162 3168 3264 3288 3366 3751 3782 3872 3904 3968 3993 4026 4092 4114 4148 4216 4224 4247 4352 4356 4384 4392 4464 4488 4521 4658 4743 4896 4932 5324 5368 5456 5673 5797 5808 5856 5952 5984 6028 6039 6138 6171 6222 6324 6336 6528 6576 6732 6987 7381 7502 7564 7744 7808 7936 7986 8052 8184 8228 8296 8357 8432 8448 8494 8712 8768 8784 8928 8976 9042 9316 9333 9486 9792 9864 10648 10736 10912 11253 11346 11407 11594 11616 11712 11904 11968 11979 12056 12078 12276 12342 12444 12648 12672 12741 13056 13152 13464 13563 13974 14762 15004 15128 15488 15616 15972 16104 16368 16456 16577 16592 16714 16864 16988 17019 17391 17424 17536 17568 17856 17952 18084 18513 18632 18666 18972 19584 19728 20801 20961 21296 21472 21824 22143 22506 22627 22692 22814 23188 23232 23424 23808 23936 23958 24112 24156 24552 24684 24888 25071 25296 25344 25482 25619 26304 26928 27126 27948 29524 30008 30256 30976 31944 32147 32208 32736 32912 33154 33184 33428 33728 33759 33976 34038 34221 34782 34848 35072 35136 35712 35904 36168 37026 37264 37332 37944 38223 39168 39456 41261 41602 41922 42592 42944 43648 44286 45012 45254 45384 45628 46376 46464 46717 46848 47872 47916 48224 48312 49104 49368 49731 49776 50142 50592 50964 51238 52173 52608 53856 54252 55896 59048 60016 60512 62403 63767 63888 64294 64416 65472 65824 66308 66368 66429 66856 67456 67518 67881 67952 68076 68442 69564 69696 70272 71424 71808 72199 72336 74052 74528 74664 75213 75888 76446 76857 78912 81191 82522 83204 83844 85184 85888 87296 88572 90024 90508 90768 91256 91927 92752 92928 93434 95832 96441 96448 96624 98208 98736 99462 99552 100284 101184 101928 102476 102663 104346 105216 107712 108504 111792 118096 120032 121024 123783 124806 125477 127534 127776 128588 128832 130944 131648 132616 132736 132858 133712 134912 135036 135762 135904 136152 136884 139128 139392 140151 140544 142069 143616 144398 144672 148104 149056 149193 149328 150426 151776 152892 153714 157824 162382 165044 166408 167688 170368 171776 177144 180048 181016 181536 182347 182512 183854 185504 186868 187209 191301 191664 192882 192896 193248 196416 197472 198924 199104 200568 202368 203643 203856 204952 205326 208692 215424 216597 217008 223584 228811 230571 236192 240064 242048 243573 247566 249612 250954 255068 255552 257176 257664 259067 261888 263296 265232 265472 265716 267424 270072 271524 271808 272304 273768 275781 278256 278784 280302 281809 284138 288796 289323 289344 296208 298112 298386 298656 300852 303552 305784 307428 315648 324764 330088 332816 335376 340736 353617 354288 360096 362032 363072 364694 365024 367708 371008 371349 373736 374418 376431 382602 383328 385764 385792 386496 392832 394944 397848 398208 401136 404736 407286 407712 409904 410652 417384 420453 426207 430848 433194 434016 447168 457622 461142 472384 480128 484096 487146 495132 499224 501908 510136 511104 513887 514352 515328 518134 526592 530464 531432 534848 540144 543048 543616 544608 547041 547536 551562 556512 560604 563618 568276 573903 577592 578646 578688 592416 596224 596772 597312 601704 607104 611568 614856 649528 649791 660176 665632 670752 686433 701437 707234 708576 720192 724064 726144 729388 730048 730719 735416 742016 742698 747472 748836 752862 765204 766656 771528 772992 777201 785664 789888 794189 795696 796416 802272 814572 815424 819808 821304 827343 834768 840906 845427 852414 866388 868032 894336 915244 922284 944768 960256 974292 990264 998448 1003816 1011197 1020272 1022208 1027774 1028704 1036268 1060851 1060928 1062864 1069696 1080288 1086096 1087232 1089216 1094082 1095072 1103124 1113024 1121208 1127236 1129293 1136552 1147806 1155184 1157292 1157376 1184832 1193544 1194624 1203408 1214208 1223136 1229712 1278621 1299056 1299582 1320352 1331264 1341504 1372866 1380247 1402874 1414468 1417152 1440384 1448128 1452288 1458776 1460096 1461438 1470832 1484032 1485396 1494944 1497672 1505724 1530408 1533312 1541661 1543056 1545984 1554402 1562759 1579776 1588378 1591392 1604544 1629144 1630848 1639616 1641123 1642608 1654686 1669536 1681812 1690854 1704828 1732776 1736064 1788672 1830488 1844568 1889536 1948584 1980528 1996896 2007632 2022394 2040544 2055548 2057408 2059299 2072536 2104311 2121702 2121856 2125728 2139392 2160576 2172192 2178432 2188164 2190144 2206248 2226048 2242416 2254472 2258586 2273104 2295612 2310368 2314584 2331603 2369664 2382567 2387088 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40580496 40915872 41586624 42787657 43931712 44167904 44492668 44891968 45222056 45262976 45304578 45595792 46677444 46680832 46766016 47532672 47925504 48183168 48445529 48537456 48973056 49333152 49598384 49688892 49740864 50008288 50503464 50828096 50874813 50920848 51295266 51571047 52132608 52416474 52515936 52849668 52949952 53817984 54107328 54554496 55448832 55798182 56259324 57181608 58575616 59026176 60406104 62236592 62354688 62694214 64716608 65777536 65897568 66251856 66321152 66739002 67337952 67833084 67894464 68393688 68761396 69888632 70016166 70021248 70466224 70599936 72143104 72274752 72806184 73459584 73999728 74066688 74397576 74611296 75012432 76242144 78624711 79274502 80541472 81160992 81831744 83173248 85575314 87863424 88335808 88985336 89783936 90444112 90525952 90609156 91191584 93354888 93532032 94041321 95065344 96096869 96366336 96891058 97074912 98666304 99196768 99377784 99481728 100016576 100108503 101006928 101656192 101749626 101841696 102590532 103142094 104832948 105031872 105699336 105899904 107635968 108214656 109108992 111596364 112518648 114363216 120812208 124473184 125388428 128362971 129433216 131555072 131795136 132503712 133478004 134675904 135666168 135788928 136787376 137522792 139777264 140032332 140042496 140932448 144549504 145336587 145612368 146919168 147999456 148795152 149222592 150024864 152484288 154713141 157249422 158549004 161082944 162321984 163663488 166346496 171150628 175726848 176671616 177970672 179567872 180888224 181218312 182383168 186709776 187064064 188082642 189093839 192193738 193782116 194149824 197332608 198393536 198755568 198963456 200033152 200217006 202013856 203312384 203499252 203683392 205181064 206284188 209665896 210063744 211398672 211799808 216429312 223192728 225037296 228726432 241624416 248946368 250776856 256725942 258866432 263590272 265007424 266956008 269351808 271332336 271577856 273574752 275045584 279554528 280064664 281864896 282123963 288290607 289099008 290673174 291224736 295998912 297590304 298445184 300049728 304968576 309426282 314498844 317098008 322165888 324643968 327326976 342301256 344818177 353343232 355941344 361776448 362436624 364766336 373419552 376165284 378187678 384387476 385088913 387564232 388299648 394665216 396787072 397511136 400066304 400434012 404027712 406998504 407366784 410362128 412568376 419331792 420127488 422797344 436009761 446385456 450074592 457452864 483248832 497892736 501553712 513451884 527180544 530014848 532900819 533912016 538703616 542664672 547149504 550091168 559109056 560129328 563729792 564247926 567281517 576581214 581346348 582449472 591997824 595180608 596890368 600099456 609937152 618852564 628997688 634196016 644331776 649287936 684602512 689636354 711882688 723552896 724873248 729532672 746839104 752330568 756375356 768774952 770177826 775128464 776599296 793574144 795022272 800868024 808055424 813997008 814733568 820724256 825136752 838663584 845594688 864871821 872019522 892770912 900149184 914905728 966497664 995785472 1003107424 1026903768 1034454531 1060029696 1065801638 1067824032 1085329344 1094299008 1100182336 1118218112 1120258656 1127459584 1128495852 1134563034 1153162428 1162692696 1164898944 1183995648 1190361216 1200198912 1237705128 1257995376 1268392032 1369205024 1379272708 1423765376 1447105792 1449746496 1493678208 1504661136 1512750712 1537549904 1540355652 1550256928 1590044544 1598702457 1601736048 1616110848 1627994016 1641448512 1650273504 1677327168 1691189376 1701844551 1729743642 1744039044 1785541824 1800298368 1829811456 1932995328 2006214848 2053807536 2068909062 2131603276 2135648064 2170658688 2188598016 2200364672 2236436224 2240517312 2256991704 2269126068 2306324856 2325385392 2329797888 2380722432 2475410256 2515990752 2536784064 2738410048 2758545416 2847530752 2899492992 2987356416 3009322272 3025501424 3075099808 3080711304 3100513856 3103363593 3180089088 3197404914 3203472096 3255988032 3282897024 3300547008 3354654336 3382378752 3403689102 3459487284 3488078088 3571083648 3600596736 4012429696 4107615072 4137818124 4263206552 4271296128 4341317376 4400729344 4481034624 4513983408 4538252136 4612649712 4650770784 4796107371 4950820512 5031981504 5073568128 5476820096 5517090832 5798985984 5861909009 6018644544 6051002848 6150199616 6161422608 6201027712 6206727186 6394809828 6406944192 6511976064 6565794048 6601094016 6709308672 6807378204 6918974568 6976156176 7142167296 8024859392 8215230144 8275636248 8526413104 8542592256 8962069248 9027966816 9076504272 9225299424 9301541568 9592214742 9901641024 10063963008 10147136256 10953640192 11034181664 11723818018 12037289088 12102005696 12300399232 12322845216 12402055424 12413454372 12789619656 12813888384 13023952128 13202188032 13614756408 13837949136 13952312352 16430460288 16551272496 17052826208 17585727027 18055933632 18153008544 18450598848 18603083136 19184429484 19803282048 20127926016 22068363328 23447636036 24074578176 24204011392 24600798464 24645690432 24826908744 25579239312 25627776768 27229512816 27675898272 27904624704 32860920576 33102544992 34105652416 35171454054 36111867264 36306017088 36901197696 37206166272 38368858968 39606564096 44136726656 46895272072 48408022784 49291380864 49653817488 51158478624 52757181081 54459025632 55351796544 55809249408 66205089984 68211304832 70342908108 72223734528 72612034176 73802395392 76737717936 88273453312 93790544144 98582761728 99307634976 102316957248 105514362162 108918051264 110703593088 111618498816 132410179968 136422609664 140685816216 145224068352 153475435872 187581088288 198615269952 204633914496 211028724324 217836102528 221407186176 264820359936 281371632432 306950871744 375162176576 397230539904 409267828992 422057448648 435672205056 562743264864 613901743488 750324353152 794461079808 844114897296 1125486529728 1227803486976 1500648706304 1688229794592 2250973059456 3376459589184 4501946118912 6752919178368 13505838356736
- Sum of all divisors σ(n): 47929024346112
- Sum of proper divisors (its aliquot sum) s(n): 34423185989376
- 13505838356736 is an abundant number, because the sum of its proper divisors (34423185989376) is greater than itself. Its abundance is 20917347632640
Bases of 13505838356736
- Binary: 110001001000100100101011001010011001000000002
- Hexadecimal: 0xC4892B29900
- Base-36: 4SCHVG3K0
Squares and roots of 13505838356736
- 13505838356736 squared (135058383567362) is 182407669718281376796573696
- 13505838356736 cubed (135058383567363) is 2463568502243996378052308526139762016256
-
The
square root of 13505838356736 is 3675029.0280127041 -
The
cube root of 13505838356736 is 23814.4478083843
Scales and comparisons
How big is 13505838356736?- 13,505,838,356,736 seconds is equal to 429,443 years, 45 weeks, 6 days, 13 hours, 45 minutes, 36 seconds.
-
To count from 1 to 13,505,838,356,736 would take you about one million, seventy-three thousand, six hundred 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 13505838356736 cubic inches would be around 1984.5 feet tall.
Recreational maths with 13505838356736
- 13505838356736 backwards is 63765383850531
- The number of decimal digits it has is: 14
- The sum of 13505838356736's digits is 63
- More coming soon!
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"Number 13505838356736 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 13505838356736 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/13505838356736/
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The information we have on file for 13505838356736 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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