13457428709148000
13,457,428,709,148,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13457428709148000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 768 divisors.
13457428709148000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13457428709148000:
25 × 33 × 53 × 167 × 9073
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 167 × 907 × 907 × 907)See below for interesting mathematical facts about the number 13457428709148000 from the Numbermatics database.
Names of 13457428709148000
- Cardinal: 13457428709148000 can be written as Thirteen quadrillion, four hundred fifty-seven trillion, four hundred twenty-eight billion, seven hundred nine million, one hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3457428709148 × 1016
Factors of 13457428709148000
Divisors of 13457428709148000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 125 135 144 150 160 167 180 200 216 225 240 250 270 288 300 334 360 375 400 432 450 480 500 501 540 600 668 675 720 750 800 835 864 900 907 1000 1002 1080 1125 1200 1336 1350 1440 1500 1503 1670 1800 1814 2000 2004 2160 2250 2400 2505 2672 2700 2721 3000 3006 3340 3375 3600 3628 4000 4008 4175 4320 4500 4509 4535 5010 5344 5400 5442 6000 6012 6680 6750 7200 7256 7515 8016 8163 8350 9000 9018 9070 10020 10800 10884 12000 12024 12525 13360 13500 13605 14512 15030 16032 16326 16700 18000 18036 18140 20040 20875 21600 21768 22545 22675 24048 24489 25050 26720 27000 27210 29024 30060 32652 33400 36000 36072 36280 37575 40080 40815 41750 43536 45090 45350 48096 48978 50100 54000 54420 60120 62625 65304 66800 68025 72144 72560 75150 80160 81630 83500 87072 90180 90700 97956 100200 108000 108840 112725 113375 120240 122445 125250 130608 133600 136050 144288 145120 150300 151469 163260 167000 180360 181400 187875 195912 200400 204075 217680 225450 226750 240480 244890 250500 261216 272100 300600 302938 326520 334000 340125 360720 362800 375750 391824 400800 408150 435360 450900 453500 454407 489780 501000 544200 563625 601200 605876 612225 653040 668000 680250 721440 725600 751500 757345 783648 816300 822649 901800 907000 908814 979560 1002000 1020375 1088400 1127250 1202400 1211752 1224450 1306080 1360500 1363221 1503000 1514690 1632600 1645298 1803600 1814000 1817628 1959120 2004000 2040750 2176800 2254500 2272035 2423504 2448900 2467947 2721000 2726442 3006000 3029380 3061125 3265200 3290596 3607200 3628000 3635256 3786725 3918240 4081500 4089663 4113245 4509000 4544070 4847008 4897800 4935894 5442000 5452884 6012000 6058760 6122250 6530400 6581192 6816105 7270512 7403841 7573450 8163000 8179326 8226490 9018000 9088140 9795600 9871788 10884000 10905768 11360175 12117520 12244500 12339735 13162384 13632210 14541024 14807682 15146900 16326000 16358652 16452980 18036000 18176280 18933625 19591200 19743576 20448315 20566225 21811536 22211523 22720350 24235040 24489000 24679470 26324768 27264420 29615364 30293800 32652000 32717304 32905960 34080525 36352560 37019205 37867250 39487152 40896630 41132450 43623072 44423046 45440700 48978000 49358940 54528840 56800875 59230728 60587600 61698675 65434608 65811920 68161050 72705120 74038410 75734500 78974304 81793260 82264900 88846092 90881400 97956000 98717880 102241575 102831125 109057680 111057615 113601750 118461456 121175200 123397350 130869216 131623840 136322100 137382383 148076820 151469000 163586520 164529800 170402625 177692184 181762800 185096025 197435760 204483150 205662250 218115360 222115230 227203500 236922912 246794700 272644200 274764766 296153640 302938000 308493375 327173040 329059600 340805250 355384368 363525600 370192050 394871520 408966300 411324500 412147149 444230460 454407000 493589400 511207875 545288400 549529532 555288075 592307280 605876000 616986750 654346080 658119200 681610500 686911915 710768736 740384100 746142643 817932600 822649000 824294298 888460920 908814000 925480125 987178800 1022415750 1090576800 1099059064 1110576150 1184614560 1233973500 1236441447 1363221000 1373823830 1480768200 1492285286 1635865200 1645298000 1648588596 1776921840 1817628000 1850960250 1974357600 2044831500 2060735745 2198118128 2221152300 2238427929 2467947000 2472882894 2726442000 2747647660 2776440375 2961536400 2984570572 3271730400 3290596000 3297177192 3434559575 3553843680 3701920500 3709324341 3730713215 4089663000 4121471490 4396236256 4442304600 4476855858 4935894000 4945765788 5452884000 5495295320 5552880750 5923072800 5969141144 6182207235 6594354384 6715283787 6869119150 7403841000 7418648682 7461426430 8179326000 8242942980 8884609200 8953711716 9871788000 9891531576 10303678725 10990590640 11105761500 11192139645 11938282288 12364414470 13188708768 13430567574 13738238300 14807682000 14837297364 14922852860 16358652000 16485885960 17172797875 17769218400 17907423432 18546621705 18653566075 19783063152 20145851361 20607357450 21981181280 22211523000 22384279290 23876564576 24728828940 26861135148 27476476600 29615364000 29674594728 29845705720 30911036175 32971771920 33576418935 34345595750 35814846864 37093243410 37307132150 39566126304 40291702722 41214714900 44423046000 44768558580 49457657880 51518393625 53722270296 54952953200 55960698225 59349189456 59691411440 61822072350 65943543840 67152837870 68691191500 71629693728 74186486820 74614264300 80583405444 82429429800 88846092000 89537117160 92733108525 93267830375 98915315760 100729256805 103036787250 107444540592 109905906400 111921396450 118698378912 119382822880 123644144700 124605821381 134305675740 137382383000 148372973640 149228528600 154555180875 161166810888 164858859600 167882094675 179074234320 185466217050 186535660750 197830631520 201458513610 206073574500 214889081184 223842792900 247288289400 249211642762 268611351480 274764766000 279803491125 296745947280 298457057200 309110361750 322333621776 329717719200 335764189350 358148468640 370932434100 373071321500 373817464143 402917027220 412147149000 447685585800 463665542625 494576578800 498423285524 503646284025 537222702960 549529532000 559606982250 593491894560 596914114400 618220723500 623029106905 644667243552 671528378700 741864868200 746142643000 747634928286 805834054440 824294298000 839410473375 895371171600 927331085250 989153157600 996846571048 1007292568050 1074445405920 1119213964500 1121452392429 1236441447000 1246058213810 1343056757400 1483729736400 1492285286000 1495269856572 1611668108880 1648588596000 1678820946750 1790742343200 1854662170500 1869087320715 1993693142096 2014585136100 2238427929000 2242904784858 2472882894000 2492116427620 2518231420125 2686113514800 2967459472800 2984570572000 2990539713144 3115145534525 3223336217760 3357641893500 3364357177287 3709324341000 3738174641430 3987386284192 4029170272200 4476855858000 4485809569716 4945765788000 4984232855240 5036462840250 5372227029600 5607261962145 5981079426288 6230291069050 6715283787000 6728714354574 7418648682000 7476349282860 8058340544400 8953711716000 8971619139432 9345436603575 9968465710480 10072925680500 11214523924290 11962158852576 12460582138100 13430567574000 13457428709148 14837297364000 14952698565720 15575727672625 16116681088800 16821785886435 17943238278864 18690873207150 19936931420960 20145851361000 22429047848580 24921164276200 26861135148000 26914857418296 28036309810725 29905397131440 31151455345250 33643571772870 35886476557728 37381746414300 40291702722000 44858095697160 46727183017875 49842328552400 53829714836592 56072619621450 59810794262880 62302910690500 67287143545740 74763492828600 80583405444000 84108929432175 89716191394320 93454366035750 99684657104800 107659429673184 112145239242900 124605821381000 134574287091480 140181549053625 149526985657200 168217858864350 179432382788640 186908732071500 224290478485800 249211642762000 269148574182960 280363098107250 299053971314400 336435717728700 373817464143000 420544647160875 448580956971600 498423285524000 538297148365920 560726196214500 672871435457400 747634928286000 841089294321750 897161913943200 1121452392429000 1345742870914800 1495269856572000 1682178588643500 2242904784858000 2691485741829600 3364357177287000 4485809569716000 6728714354574000 13457428709148000
- Sum of all divisors σ(n): 49332755227392000
- Sum of proper divisors (its aliquot sum) s(n): 35875326518244000
- 13457428709148000 is an abundant number, because the sum of its proper divisors (35875326518244000) is greater than itself. Its abundance is 22417897809096000
Bases of 13457428709148000
- Binary: 1011111100111101110101110010011100110010000101011000002
- Hexadecimal: 0x2FCF75C9CC8560
- Base-36: 3OI9DEGWWO0
Squares and roots of 13457428709148000
- 13457428709148000 squared (134574287091480002) is 181102387461800805578885904000000
- 13457428709148000 cubed (134574287091480003) is 2437172468323682955180973047950693049792000000000
-
The
square root of 13457428709148000 is 116006158.0656302917 -
The
cube root of 13457428709148000 is 237859.6064232797
Scales and comparisons
How big is 13457428709148000?- 13,457,428,709,148,000 seconds is equal to 427,904,606 years, 20 weeks, 2 days, 6 hours.
-
To count from 1 to 13,457,428,709,148,000 would take you about one billion, two hundred eighty-three million, seven hundred thirteen thousand, eight hundred nineteen 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 13457428709148000 cubic inches would be around 19821.6 feet tall.
Recreational maths with 13457428709148000
- 13457428709148000 backwards is 00084190782475431
- The number of decimal digits it has is: 17
- The sum of 13457428709148000's digits is 63
- More coming soon!
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The information we have on file for 13457428709148000 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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