13137848969448375
13,137,848,969,448,375 is an odd composite number composed of six prime numbers multiplied together.
What does the number 13137848969448375 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
13137848969448375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13137848969448375:
32 × 53 × 193 × 232 × 31 × 473
(3 × 3 × 5 × 5 × 5 × 19 × 19 × 19 × 23 × 23 × 31 × 47 × 47 × 47)See below for interesting mathematical facts about the number 13137848969448375 from the Numbermatics database.
Names of 13137848969448375
- Cardinal: 13137848969448375 can be written as Thirteen quadrillion, one hundred thirty-seven trillion, eight hundred forty-eight billion, nine hundred sixty-nine million, four hundred forty-eight thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.3137848969448375 × 1016
Factors of 13137848969448375
Divisors of 13137848969448375
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 3 5 9 15 19 23 25 31 45 47 57 69 75 93 95 115 125 141 155 171 207 225 235 279 285 345 361 375 423 437 465 475 529 575 589 705 713 775 855 893 1035 1081 1083 1125 1175 1311 1395 1425 1457 1587 1725 1767 1805 2115 2139 2185 2209 2325 2375 2645 2679 2875 2945 3243 3249 3525 3565 3875 3933 4275 4371 4465 4761 5175 5301 5405 5415 5875 6417 6555 6627 6859 6975 7125 7285 7935 8037 8303 8625 8835 9025 9729 10051 10575 10695 10925 11045 11191 11625 13113 13225 13395 13547 14725 16215 16245 16399 16967 17625 17825 19665 19881 20539 20577 21375 21855 22325 23805 24863 24909 25875 26505 27025 27075 27683 30153 32085 32775 33135 33511 33573 34295 34875 36425 39675 40185 40641 41515 41971 44175 45125 48645 49197 50255 50807 50901 52875 53475 54625 55225 55955 61617 61731 65565 66125 66975 67735 68479 73625 74589 74727 81075 81225 81995 83049 84835 89125 90459 98325 99405 100533 100719 102695 102885 103823 109275 111625 119025 121923 124315 124545 125913 132525 135125 135375 138415 147591 150765 152421 152703 157757 160425 163875 165675 167555 167865 171475 182125 184851 190969 198375 200925 203205 205437 207575 209855 212629 220875 223767 243225 245985 249147 251275 254035 254505 257393 267375 276125 279775 301599 308085 308655 311469 311581 322373 327825 334875 338675 342395 372945 373635 377739 390241 405375 406125 409975 415245 424175 452295 457263 472397 473271 491625 497025 502665 503595 513475 514425 519115 525977 546375 572907 595125 609615 616311 621575 622725 629565 636709 637887 662625 692075 737955 753825 762105 763515 770753 772179 788785 797449 802125 828375 837775 839325 857375 924255 934407 934743 954845 965333 967119 1004625 1016025 1027185 1037875 1049275 1063145 1118835 1168561 1170723 1216125 1229925 1245735 1256375 1270175 1272525 1286965 1301101 1398875 1417191 1419813 1507995 1540425 1543275 1557345 1557905 1575017 1577931 1611865 1639125 1693375 1711975 1718721 1864725 1868175 1888695 1910127 1913661 1951205 1972637 2049875 2076225 2120875 2261475 2286315 2312259 2316537 2361985 2366355 2387929 2392347 2485125 2513325 2517975 2567375 2572125 2595575 2629885 2804229 2864535 2895999 2901357 3048075 3081555 3107875 3113625 3147825 3183545 3189435 3218513 3460375 3505683 3512169 3628411 3689775 3769125 3810525 3817575 3853765 3860895 3903303 3943925 3987245 4188875 4196625 4251573 4621275 4672035 4673715 4725051 4733793 4774225 4826665 4835595 4890467 5080125 5135925 5246375 5315725 5594175 5730381 5842805 5853615 5917911 5920039 6149625 6228675 6350875 6362625 6434825 6505505 6936777 7085955 7099065 7163787 7177041 7414579 7539975 7702125 7716375 7786725 7789525 7875085 7889655 8059325 8559875 8593605 8687997 8975543 9323625 9340875 9443475 9550635 9568305 9655539 9756025 9863185 9993563 10381125 10517049 10885233 11307375 11431575 11561295 11582685 11709909 11809925 11831775 11939645 11961735 12097471 12566625 12589875 12977875 13149425 14021145 14175153 14322675 14479995 14506785 14644307 14671401 15151531 15240375 15407775 15739125 15917725 15947175 16092565 17528415 17560845 17753733 17760117 18142055 18341327 18448875 19052625 19087875 19268825 19304475 19516515 19719625 19936225 21257865 21491361 22202659 22243737 23106375 23360175 23368575 23625255 23668965 23871125 24133325 24177975 24452335 24720919 25679625 26578625 26926629 27970875 28651905 28966617 29214025 29268075 29589555 29600195 29925323 29980689 31143375 32174125 32527525 32655699 34683885 35429775 35495325 35818935 35885205 36225391 36292413 37072895 37480103 37699875 38933625 38947625 39375425 39448275 40296625 42968025 43439985 43932921 44014203 44877715 45370651 45454593 47217375 47753175 47841525 48277695 48780125 49315925 49967815 52585245 53280351 54426165 54922367 55023981 57157875 57806475 57913425 58549545 59049625 59158875 59698225 59808675 60487355 61151747 65747125 66607977 66731211 70105725 70875765 71613375 72399975 72533925 73221535 73357005 74025799 74162757 75757655 77038875 79588625 79735875 80462825 80779887 87642075 87804225 88768665 88800585 89775969 89942067 90710275 91706635 96344125 96522375 97582575 99681125 106289325 107456805 108676173 108877239 111013295 111218685 112440309 112480741 116800875 116842875 118126275 118344825 120666625 120889875 122261675 123604595 131798763 134633145 136111953 136363779 143259525 144833085 146070125 146340375 147947775 148000975 149626615 149903445 162637625 163278495 164767101 165071943 170535317 173419425 177148875 177476625 179094675 179426025 181126955 181462065 183455241 185364475 187400515 196877125 197241375 199823931 214840125 217199925 219664605 220071015 222077397 222488271 224388575 226853255 227272965 229851949 238765875 239207625 241388475 246579625 249839075 262926225 266401755 269327907 272130825 274611835 275119905 278241833 289032375 289567125 292747725 298491125 299043375 302436775 305758735 326028519 333039885 333656055 337320927 337442223 348485213 350528625 354378825 361999875 362669625 366107675 366785025 370128995 370813785 378788275 402314125 403899435 408335859 421850521 438210375 439021125 443843325 444002925 448879845 449710335 453551375 458533175 469697461 487912875 494301303 511605951 531446625 537284025 543380865 544386195 550365723 555066475 556093425 562201545 562403705 568581137 590631375 591724125 611308375 618022975 658993815 666232191 673165725 680559765 681818895 688282429 689555847 712121957 716297625 724165425 739738875 740004875 748133075 749517225 816392475 823835505 825359715 834725499 852676585 862042369 867097125 895473375 897130125 905634775 907310325 917276205 926822375 937002575 999119655 1012326669 1043524973 1045455639 1085999625 1098323025 1100355075 1110386985 1112441355 1121942875 1134266275 1136364825 1149259745 1161883193 1206942375 1249195375 1265551563 1314631125 1332008775 1346639535 1360654125 1373059175 1375599525 1391209165 1406490181 1409092383 1463738625 1512183875 1528793675 1534817853 1630142595 1665199425 1668280275 1686604635 1687211115 1702593377 1705743411 1742426065 1771894125 1830538375 1833925125 1850644975 1854068925 1893941375 2019497175 2041679295 2064847287 2068667541 2109252605 2136365871 2219216625 2220014625 2244399225 2248551675 2292665875 2348487305 2471506515 2504176497 2558029755 2586127107 2686420125 2716904325 2721930975 2751828615 2775332375 2780467125 2811007725 2812018525 2842905685 3090114875 3130574919 3136366917 3294969075 3331160955 3365828625 3402798825 3409094475 3441412145 3447779235 3485649579 3560609785 3620827125 3740665375 3747586125 3796654689 4081962375 4119177525 4126798575 4173627495 4219470543 4227277149 4263382925 4310211845 4528173875 4536551625 4586381025 4685012875 4995598275 5061633345 5107780131 5117230233 5217624865 5227278195 5286594827 5491615125 5501775375 5551934925 5562206775 5671331375 5681824125 5746298725 5809415965 6194541861 6327757815 6409097613 6660043875 6733197675 6865295875 6877997625 6956045825 7032450905 7045461915 7643968375 7674089265 7758381321 8015159899 8150712975 8325997125 8341401375 8433023175 8436055575 8512966885 8528717055 8712130325 9253224875 9270344625 9391724757 10097485875 10208396475 10324236435 10343337705 10456948737 10546263025 10681829355 10803041603 11221996125 11242758375 11742436525 12357532575 12520882485 12658411629 12790148775 12930635535 13077366151 13584521625 13609654875 13759143075 14055038625 14060092625 14214528425 15323340393 15652874595 15681834585 15859784481 16378805011 16474845375 16655804775 17013994125 17045472375 17207060725 17238896175 17428247895 17803048925 18983273445 19826974487 20595887625 20633992875 20868137475 21097352715 21136385745 21316914625 21551059225 22075780667 22931905125 24045479697 24977991375 25308166725 25538900655 25586151165 26088124325 26136390975 26432974135 26723313439 27759674625 27811033875 28731493625 29047079825 30972709305 31638789075 32045488065 32349274163 32409124809 33665988375 34780229125 35162254525 35227309575 38370446325 38791906605 39232098453 40075799495 40753564875 42165115875 42180277875 42564834425 42643585275 43560651625 46958623785 47579353443 49136415033 51041982375 51621182175 51716688525 52284743685 52731315125 53409146775 54015208015 58712182625 59480923461 61787662875 62604412425 63292058145 63950743875 64653177675 65386830755 66227342001 68795715375 71072642125 72136439091 76616701965 78264372975 78409172925 79298922405 80169940317 81894025055 83279023875 86035303625 86194480875 87141239475 89015244625 94916367225 97047822489 97227374427 99134872435 104340687375 105486763575 105681928725 107755296125 110378903335 117696295359 120227398485 126540833625 127694503275 127930755825 130440621625 130681954875 132164870675 133616567195 145235399125 147409245099 154863546525 158193945375 160227440325 161746370815 162045624045 175811272625 176136547875 178442770383 191852231625 193959533025 196160492265 198682026003 200378997475 212824172125 213217926375 234793118925 237896767215 240509820951 245682075165 248469956869 258105910875 258583442625 261423718425 267045733875 270076040075 291143467467 297404617305 313022062125 316460290725 323265888375 326934153775 331136710005 360682195455 376712515253 383083509825 391321864875 392045864625 396494612025 400849701585 409470125275 435706197375 474581836125 485239112445 486136872135 495674362175 507742955341 527433817875 528409643625 551894516675 588481476795 601136992425 614636209097 638472516375 639653779125 660824353375 668082835975 737046225495 745409870607 774317732625 801137201625 808731854075 810228120225 892213851915 969797665125 980802461325 993410130015 1001894987375 1130137545759 1173965594625 1189483836075 1202549104755 1228410375825 1242349784345 1307118592125 1350380200375 1455717337335 1487023086525 1523228866023 1582301453625 1634670768875 1655683550025 1803410977275 1843908627291 1883562576265 1915417549125 1982473060125 2004248507925 2047350626375 2236229611821 2426195562225 2430684360675 2478371810875 2538714776705 2759472583375 2942407383975 3005684962125 3073181045485 3340414179875 3390412637277 3685231127475 3727049353035 4043659270375 4051140601125 4461069259575 4569686598069 4904012306625 4967050650075 5531725881873 5650687728795 5947419180375 6012745523775 6142051879125 6211748921725 7278586686675 7435115432625 7616144330115 8278417750125 9017054886375 9219543136455 9417812881325 10021242539625 11181148059105 11678087972843 12130977811125 12153421803375 12693573883525 14712036919875 15365905227425 16952063186385 18426155637375 18635246765175 22305346297875 22848432990345 24835253250375 27658629409365 28253438643975 30063727618875 31058744608625 35034263918529 36392933433375 38080721650575 46097715682275 47089064406625 55905740295525 58390439864215 63467869417625 76829526137125 84760315931925 93176233825875 105102791755587 114242164951725 138293147046825 141267193219875 175171319592645 190403608252875 230488578411375 279528701477625 291952199321075 423801579659625 525513958777935 571210824758625 691465735234125 875856597963225 1459760996605375 2627569793889675 4379282989816125 13137848969448375
- Sum of all divisors σ(n): 27562279823769600
- Sum of proper divisors (its aliquot sum) s(n): 14424430854321225
- 13137848969448375 is an abundant number, because the sum of its proper divisors (14424430854321225) is greater than itself. Its abundance is 1286581884872850
Bases of 13137848969448375
- Binary: 1011101010110011001101110101001110111111001011101101112
- Hexadecimal: 0x2EACCDD4EFCBB7
- Base-36: 3LCZ8HV78VR
Squares and roots of 13137848969448375
- 13137848969448375 squared (131378489694483752) is 172603075544035729024151790140625
- 13137848969448375 cubed (131378489694483753) is 2267633138159829820656172992199718580169927734375
-
The
square root of 13137848969448375 is 114620456.1561695015 -
The
cube root of 13137848969448375 is 235961.6485214555
Scales and comparisons
How big is 13137848969448375?- 13,137,848,969,448,375 seconds is equal to 417,742,959 years, 10 weeks, 9 hours, 26 minutes, 15 seconds.
-
To count from 1 to 13,137,848,969,448,375 would take you about one billion, two hundred fifty-three million, two hundred twenty-eight thousand, eight hundred seventy-seven 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 13137848969448375 cubic inches would be around 19663.5 feet tall.
Recreational maths with 13137848969448375
- 13137848969448375 backwards is 57384496984873131
- The number of decimal digits it has is: 17
- The sum of 13137848969448375's digits is 90
- More coming soon!
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"Number 13137848969448375 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 13137848969448375 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/13137848969448375/
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The information we have on file for 13137848969448375 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!
Keywords: Divisors of 13137848969448375, math, Factors of 13137848969448375, curriculum, school, college, exams, university, Prime factorization of 13137848969448375, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, one hundred thirty-seven trillion, eight hundred forty-eight billion, nine hundred sixty-nine million, four hundred forty-eight thousand, three hundred seventy-five.