138173408247693312
138,173,408,247,693,312 is an even composite number composed of five prime numbers multiplied together.
138173408247693312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138173408247693312:
214 × 33 × 13 × 23 × 323212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 23 × 32321 × 32321)See below for interesting mathematical facts about the number 138173408247693312 from the Numbermatics database.
Names of 138173408247693312
- Cardinal: 138173408247693312 can be written as One hundred thirty-eight quadrillion, one hundred seventy-three trillion, four hundred eight billion, two hundred forty-seven million, six hundred ninety-three thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38173408247693312 × 1017
Factors of 138173408247693312
Divisors of 138173408247693312
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 32 36 39 46 48 52 54 64 69 72 78 92 96 104 108 117 128 138 144 156 184 192 207 208 216 234 256 276 288 299 312 351 368 384 414 416 432 468 512 552 576 598 621 624 702 736 768 828 832 864 897 936 1024 1104 1152 1196 1242 1248 1404 1472 1536 1656 1664 1728 1794 1872 2048 2208 2304 2392 2484 2496 2691 2808 2944 3072 3312 3328 3456 3588 3744 4096 4416 4608 4784 4968 4992 5382 5616 5888 6144 6624 6656 6912 7176 7488 8073 8192 8832 9216 9568 9936 9984 10764 11232 11776 12288 13248 13312 13824 14352 14976 16146 16384 17664 18432 19136 19872 19968 21528 22464 23552 24576 26496 26624 27648 28704 29952 32292 32321 35328 36864 38272 39744 39936 43056 44928 47104 49152 52992 53248 55296 57408 59904 64584 64642 70656 73728 76544 79488 79872 86112 89856 94208 96963 105984 106496 110592 114816 119808 129168 129284 141312 147456 153088 158976 159744 172224 179712 188416 193926 211968 212992 221184 229632 239616 258336 258568 282624 290889 306176 317952 319488 344448 359424 376832 387852 420173 423936 442368 459264 479232 516672 517136 565248 581778 612352 635904 638976 688896 718848 743383 775704 840346 847872 872667 918528 958464 1033344 1034272 1130496 1163556 1224704 1260519 1271808 1377792 1437696 1486766 1551408 1680692 1695744 1745334 1837056 1916928 2066688 2068544 2230149 2327112 2449408 2521038 2543616 2755584 2875392 2973532 3102816 3361384 3391488 3490668 3674112 3781557 4133376 4137088 4460298 4654224 4898816 5042076 5087232 5511168 5750784 5947064 6205632 6690447 6722768 6981336 7348224 7563114 8266752 8274176 8920596 9308448 9663979 10084152 10174464 11022336 11344671 11894128 12411264 13380894 13445536 13962672 14696448 15126228 16533504 16548352 17841192 18616896 19327958 20071341 20168304 22044672 22689342 23788256 24822528 26761788 26891072 27925344 28991937 30252456 33067008 33096704 35682384 37233792 38655916 40142682 40336608 44089344 45378684 47576512 49645056 53523576 53782144 55850688 57983874 60504912 66134016 66193408 71364768 74467584 77311832 80285364 80673216 86975811 90757368 95153024 99290112 107047152 107564288 111701376 115967748 121009824 132268032 132386816 142729536 148935168 154623664 160570728 161346432 173951622 181514736 190306048 198580224 214094304 215128576 223402752 231935496 242019648 260927433 264773632 285459072 297870336 309247328 321141456 322692864 347903244 363029472 380612096 397160448 428188608 430257152 446805504 463870992 484039296 521854866 529547264 570918144 595740672 618494656 642282912 645385728 695806488 726058944 761224192 794320896 856377216 860514304 893611008 927741984 968078592 1043709732 1044647041 1141836288 1191481344 1236989312 1284565824 1290771456 1391612976 1452117888 1522448384 1588641792 1712754432 1721028608 1787222016 1855483968 1936157184 2087419464 2089294082 2283672576 2382962688 2473978624 2569131648 2581542912 2783225952 2904235776 3044896768 3133941123 3425508864 3442057216 3574444032 3710967936 3872314368 4174838928 4178588164 4567345152 4765925376 4947957248 5138263296 5163085824 5566451904 5808471552 6089793536 6267882246 6851017728 6884114432 7148888064 7421935872 7744628736 8349677856 8357176328 9134690304 9401823369 9895914496 10276526592 10326171648 11132903808 11616943104 12179587072 12535764492 13580411533 13702035456 14297776128 14843871744 15489257472 16699355712 16714352656 18269380608 18803646738 19791828992 20553053184 20652343296 22265807616 23233886208 24026881943 25071528984 27160823066 27404070912 28205470107 29687743488 30978514944 33398711424 33428705312 36538761216 37607293476 39583657984 40741234599 41106106368 44531615232 46467772416 48053763886 50143057968 54321646132 54808141824 56410940214 59375486976 61957029888 66797422848 66857410624 72080645829 75214586952 79167315968 81482469198 82212212736 89063230464 92935544832 96107527772 100286115936 108643292264 109616283648 112821880428 118750973952 122223703797 133594845696 133714821248 144161291658 150429173904 158334631936 162964938396 164424425472 178126460928 185871089664 192215055544 200572231872 216241937487 217286584528 225643760856 237501947904 244447407594 267189691392 267429642496 288322583316 300858347808 312349465259 325929876792 328848850944 356252921856 366671111391 384430111088 401144463744 432483874974 434573169056 451287521712 475003895808 488894815188 534379382784 534859284992 576645166632 601716695616 624698930518 648725812461 651859753584 712505843712 733342222782 768860222176 802288927488 864967749948 869146338112 902575043424 937048395777 977789630376 1068758765568 1069718569984 1153290333264 1203433391232 1249397861036 1297451624922 1303719507168 1425011687424 1466684445564 1537720444352 1604577854976 1729935499896 1738292676224 1805150086848 1874096791554 1955579260752 2137517531136 2139437139968 2306580666528 2406866782464 2498795722072 2594903249844 2607439014336 2811145187331 2933368891128 3075440888704 3209155709952 3459870999792 3476585352448 3610300173696 3748193583108 3911158521504 4275035062272 4278874279936 4613161333056 4813733564928 4997591444144 5189806499688 5214878028672 5622290374662 5866737782256 6150881777408 6418311419904 6919741999584 6953170704896 7220600347392 7496387166216 7822317043008 8433435561993 8557748559872 9226322666112 9627467129856 9995182888288 10379612999376 10429756057344 11244580749324 11733475564512 12301763554816 12836622839808 13839483999168 13906341409792 14441200694784 14992774332432 15644634086016 16866871123986 17115497119744 18452645332224 19254934259712 19990365776576 20759225998752 20859512114688 22489161498648 23466951129024 24603527109632 25673245679616 27678967998336 27812682819584 28882401389568 29985548664864 31289268172032 33733742247972 36905290664448 38509868519424 39980731553152 41518451997504 41719024229376 44978322997296 46933902258048 49207054219264 51346491359232 55357935996672 55625365639168 57764802779136 59971097329728 62578536344064 67467484495944 73810581328896 77019737038848 79961463106304 83036903995008 83438048458752 89956645994592 93867804516096 98414108438528 110715871993344 111250731278336 115529605558272 119942194659456 125157072688128 134934968991888 147621162657792 154039474077696 159922926212608 166073807990016 166876096917504 179913291989184 187735609032192 196828216877056 221431743986688 222501462556672 231059211116544 239884389318912 250314145376256 269869937983776 295242325315584 319845852425216 332147615980032 333752193835008 359826583978368 375471218064384 393656433754112 442863487973376 462118422233088 479768778637824 500628290752512 539739875967552 590484650631168 639691704850432 664295231960064 667504387670016 719653167956736 750942436128768 885726975946752 959537557275648 1001256581505024 1079479751935104 1180969301262336 1279383409700864 1328590463920128 1439306335913472 1501884872257536 1771453951893504 1919075114551296 2002513163010048 2158959503870208 2558766819401728 2657180927840256 2878612671826944 3003769744515072 3542907903787008 3838150229102592 4317919007740416 5117533638803456 5314361855680512 5757225343653888 6007539489030144 7676300458205184 8635838015480832 10628723711361024 11514450687307776 15352600916410368 17271676030961664 23028901374615552 34543352061923328 46057802749231104 69086704123846656 138173408247693312
- Sum of all divisors σ(n): 460064756758938240
- Sum of proper divisors (its aliquot sum) s(n): 321891348511244928
- 138173408247693312 is an abundant number, because the sum of its proper divisors (321891348511244928) is greater than itself. Its abundance is 183717940263551616
Bases of 138173408247693312
- Binary: 1111010101110001111111011100101000000001001000000000000002
- Hexadecimal: 0x1EAE3FB94024000
- Base-36: 11SIDVGAZUO0
Squares and roots of 138173408247693312
- 138173408247693312 squared (1381734082476933122) is 19091890746783722177046568809529344
- 138173408247693312 cubed (1381734082476933123) is 2637991614375705583540717280839687343152572376547328
-
The
square root of 138173408247693312 is 371716838.8003068553 -
The
cube root of 138173408247693312 is 516981.2870520665
Scales and comparisons
How big is 138173408247693312?- 138,173,408,247,693,312 seconds is equal to 4,393,486,983 years, 44 weeks, 6 days, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 138,173,408,247,693,312 would take you about thirteen billion, one hundred eighty million, four hundred sixty thousand, nine hundred fifty-one 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 138173408247693312 cubic inches would be around 43081.8 feet tall.
Recreational maths with 138173408247693312
- 138173408247693312 backwards is 213396742804371831
- 138173408247693312 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138173408247693312's digits is 72
- More coming soon!
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The information we have on file for 138173408247693312 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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