48131385943973378256
48,131,385,943,973,378,256 is an even composite number composed of seven prime numbers multiplied together.
48131385943973378256 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 48131385943973378256:
24 × 32 × 72 × 17 × 43 × 131 × 71232981541
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 17 × 43 × 131 × 71232981541)See below for interesting mathematical facts about the number 48131385943973378256 from the Numbermatics database.
Names of 48131385943973378256
- Cardinal: 48131385943973378256 can be written as Forty-eight quintillion, one hundred thirty-one quadrillion, three hundred eighty-five trillion, nine hundred forty-three billion, nine hundred seventy-three million, three hundred seventy-eight thousand, two hundred fifty-six.
Scientific notation
- Scientific notation: 4.8131385943973378256 × 1019
Factors of 48131385943973378256
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 71232981744
Divisors of 48131385943973378256
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 43 48 49 51 56 63 68 72 84 86 98 102 112 119 126 129 131 136 144 147 153 168 172 196 204 238 252 258 262 272 294 301 306 336 344 357 387 392 393 408 441 476 504 516 524 588 602 612 688 714 731 774 784 786 816 833 882 903 917 952 1008 1032 1048 1071 1176 1179 1204 1224 1428 1462 1548 1572 1666 1764 1806 1834 1904 2064 2096 2107 2142 2193 2227 2352 2358 2408 2448 2499 2709 2751 2856 2924 3096 3144 3332 3528 3612 3668 4214 4284 4386 4454 4716 4816 4998 5117 5418 5502 5633 5712 5848 6192 6288 6321 6419 6579 6664 6681 7056 7224 7336 7497 8253 8428 8568 8772 8908 9432 9996 10234 10836 11004 11266 11696 12642 12838 13158 13328 13362 14448 14672 14994 15351 15589 16506 16856 16899 17136 17544 17816 18864 18963 19257 19992 20043 20468 21672 22008 22532 25284 25676 26316 26724 29988 30702 31178 33012 33712 33798 35088 35632 35819 37926 38514 39431 39984 40086 40936 43344 44016 45064 46053 46767 50568 50697 51352 52632 53448 57771 59976 61404 62356 66024 67596 71638 75852 77028 78862 80172 81872 90128 92106 93534 95761 101136 101394 102704 105264 106896 107457 109123 115542 118293 119952 122808 124712 132048 135192 140301 143276 151704 154056 157724 160344 184212 187068 191522 202788 214914 218246 231084 236586 245616 249424 270384 276017 280602 286552 287283 303408 308112 315448 320688 322371 327369 354879 368424 374136 383044 405576 429828 436492 462168 473172 552034 561204 573104 574566 630896 644742 654738 670327 709758 736848 748272 766088 811152 828051 859656 861849 872984 924336 946344 982107 1104068 1122408 1149132 1289484 1309476 1340654 1419516 1532176 1656102 1719312 1723698 1745968 1892688 1964214 2010981 2208136 2244816 2298264 2484153 2578968 2618952 2681308 2839032 3312204 3447396 3928428 4021962 4416272 4596528 4692289 4968306 5157936 5237904 5362616 5678064 6032943 6624408 6894792 7856856 8043924 9384578 9936612 10725232 12065886 13248816 13789584 14076867 15713712 16087848 18769156 19873224 24131772 28153734 32175696 37538312 39746448 42230601 48263544 56307468 75076624 84461202 96527088 112614936 168922404 225229872 337844808 675689616 71232981541 142465963082 213698944623 284931926164 427397889246 498630870787 569863852328 641096833869 854795778492 997261741574 1139727704656 1210960686197 1282193667738 1495892612361 1709591556984 1994523483148 2421921372394 2564387335476 2991785224722 3063018206263 3419183113968 3490416095509 3632882058591 3989046966296 4487677837083 4843842744788 5128774670952 5983570449444 6126036412526 6980832191018 7265764117182 7978093932592 8476724803379 8975355674166 9189054618789 9331520581871 9687685489576 10257549341904 10471248286527 10898646175773 11967140898888 12252072825052 13961664382036 14531528234364 16953449606758 17950711348332 18378109237578 18663041163742 19375370979152 20942496573054 21441127443841 21797292351546 23934281797776 24504145650104 25430174410137 27567163856367 27923328764072 27994561745613 29063056468728 31413744859581 33906899213516 35901422696664 36756218475156 37326082327484 41884993146108 42882254887682 43594584703092 49008291300208 50860348820274 52071309506471 55134327712734 55846657528144 55989123491226 58126112937456 59337073623653 62827489719162 64323382331523 65320644073097 67813798427032 71802845393328 73512436950312 74652164654968 76290523230411 83769986292216 83983685236839 85764509775364 87189169406184 101720697640548 104142619012942 110268655425468 111978246982452 118674147247306 125654979438324 128646764663046 130641288146194 135627596854064 147024873900624 149304329309936 150087892106887 152581046460822 156213928519413 158635849891807 167539972584432 167967370473678 171529019550728 174378338812368 178011220870959 192970146994569 195961932219291 203441395281096 208285238025884 220537310850936 223956493964904 237348294494612 251309958876648 257293529326092 261282576292388 300175784213774 305162092921644 312427857038826 317271699783614 335934740947356 343058039101456 356022441741918 364499166545297 385940293989138 391923864438582 401255385020453 406882790562192 416570476051768 441074621701872 447912987929808 450263676320661 457244508511679 468641785558239 474696588989224 475907549675421 502619917753296 514587058652184 522565152584776 534033662612877 587885796657873 600351568427548 610324185843288 624855714077652 634543399567228 671869481894712 712044883483836 728998333090594 771880587978276 783847728877164 802510770040906 833140952103536 900527352641322 914489017023358 937283571116478 949393177978448 951815099350842 1029174117304368 1045130305169552 1068067325225754 1093497499635891 1110450949242649 1175771593315746 1200703136855096 1203766155061359 1220648371686576 1249711428155304 1269086799134456 1343738963789424 1350791028961983 1371733525535037 1424089766967672 1427722649026263 1457996666181188 1543761175956552 1567695457754328 1605021540081812 1801054705282644 1828978034046716 1874567142232956 1903630198701684 2136134650451508 2186994999271782 2220901898485298 2351543186631492 2401406273710192 2407532310122718 2499422856310608 2538173598268912 2551494165817079 2701582057923966 2743467051070074 2808787695143171 2848179533935344 2855445298052526 2915993332362376 3087522351913104 3135390915508656 3210043080163624 3280492498907673 3331352847727947 3602109410565288 3611298465184077 3657956068093432 3749134284465912 3807260397403368 4115200576605111 4272269300903016 4373989998543564 4441803796970596 4703086373262984 4815064620245436 5102988331634158 5403164115847932 5486934102140148 5617575390286342 5710890596105052 5831986664724752 6420086160327248 6560984997815346 6662705695455894 6821341545347701 7204218821130576 7222596930368154 7315912136186864 7498268568931824 7614520794806736 7654482497451237 7773156644698543 8230401153210222 8426363085429513 8544538601806032 8747979997087128 8883607593941192 9406172746525968 9630129240490872 9994058543183841 10205976663268316 10806328231695864 10973868204280296 11235150780572684 11421781192210104 13121969995630692 13325411390911788 13642683090695402 14445193860736308 15308964994902474 15546313289397086 16460802306420444 16852726170859026 17495959994174256 17767215187882384 19260258480981744 19661513866002197 19988117086367682 20411953326536632 20464024636043103 21612656463391728 21947736408560592 22470301561145368 22843562384420208 22963447492353711 23319469934095629 25279089256288539 26243939991261384 26650822781823576 27285366181390804 28890387721472616 30617929989804948 31092626578794172 32921604612840888 33705452341718052 39323027732004394 39976234172735364 40823906653073264 40928049272086206 44940603122290736 45926894984707422 46638939868191258 47749390817433907 50558178512577078 52487879982522768 53301645563647152 54570732362781608 57780775442945232 58984541598006591 61235859979609896 61392073908129309 62185253157588344 65843209225681776 67410904683436104 69958409802286887 78646055464008788 79952468345470728 81856098544172412 91853789969414844 93277879736382516 95498781634867814 101116357025154156 109141464725563216 117969083196013182 122471719959219792 122784147816258618 124370506315176688 134821809366872208 139916819604573774 143248172452301721 157292110928017576 159904936690941456 163712197088344824 176953624794019773 183707579938829688 186555759472765032 190997563269735628 202232714050308312 235938166392026364 245568295632517236 279833639209147548 286496344904603442 314584221856035152 327424394176689648 334245735722037349 353907249588039546 367415159877659376 373111518945530064 381995126539471256 404465428100616624 429744517356905163 471876332784052728 491136591265034472 559667278418295096 572992689809206884 668491471444074698 707814499176079092 763990253078942512 859489034713810326 943752665568105456 982273182530068944 1002737207166112047 1119334556836590192 1145985379618413768 1336982942888149396 1415628998352158184 1718978069427620652 2005474414332224094 2291970759236827536 2673965885776298792 2831257996704316368 3008211621498336141 3437956138855241304 4010948828664448188 5347931771552597584 6016423242996672282 6875912277710482608 8021897657328896376 12032846485993344564 16043795314657792752 24065692971986689128 48131385943973378256
- Sum of all divisors σ(n): 171064596469670025408
- Sum of proper divisors (its aliquot sum) s(n): 122933210525696647152
- 48131385943973378256 is an abundant number, because the sum of its proper divisors (122933210525696647152) is greater than itself. Its abundance is 74801824581723268896
Bases of 48131385943973378256
- Binary: 1010011011111101010000100010000001010010011100001100111000110100002
- Hexadecimal: 0x29BF5088149C338D0
- Base-36: A5OGWCTAZB840
Squares and roots of 48131385943973378256
- 48131385943973378256 squared (481313859439733782562) is 2316630312887718088266067976045253601536
- 48131385943973378256 cubed (481313859439733782563) is 111502627679106563704671638782683059239340332336188830601216
-
The
square root of 48131385943973378256 is 6937678714.3808683477 -
The
cube root of 48131385943973378256 is 3637554.0551692385
Scales and comparisons
How big is 48131385943973378256?- 48,131,385,943,973,378,256 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,131,385,943,973,378,256 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 48131385943973378256 cubic inches would be around 303129.5 feet tall.
Recreational maths with 48131385943973378256
- 48131385943973378256 backwards is 65287337934958313184
- The number of decimal digits it has is: 20
- The sum of 48131385943973378256's digits is 99
- More coming soon!
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The information we have on file for 48131385943973378256 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 48131385943973378256, math, Factors of 48131385943973378256, curriculum, school, college, exams, university, Prime factorization of 48131385943973378256, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quintillion, one hundred thirty-one quadrillion, three hundred eighty-five trillion, nine hundred forty-three billion, nine hundred seventy-three million, three hundred seventy-eight thousand, two hundred fifty-six.