138709836465984
138,709,836,465,984 is an even composite number composed of six prime numbers multiplied together.
138709836465984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138709836465984:
26 × 38 × 7 × 192 × 61 × 2143
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 19 × 19 × 61 × 2143)See below for interesting mathematical facts about the number 138709836465984 from the Numbermatics database.
Names of 138709836465984
- Cardinal: 138709836465984 can be written as One hundred thirty-eight trillion, seven hundred nine billion, eight hundred thirty-six million, four hundred sixty-five thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38709836465984 × 1014
Factors of 138709836465984
Divisors of 138709836465984
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 61 63 64 72 76 81 84 96 108 112 114 122 126 133 144 152 162 168 171 183 189 192 216 224 228 243 244 252 266 288 304 324 336 342 361 366 378 399 427 432 448 456 486 488 504 513 532 549 567 576 608 648 672 684 722 729 732 756 798 854 864 912 972 976 1008 1026 1064 1083 1098 1134 1159 1197 1216 1281 1296 1344 1368 1444 1458 1464 1512 1539 1596 1647 1701 1708 1728 1824 1944 1952 2016 2052 2128 2143 2166 2187 2196 2268 2318 2394 2527 2562 2592 2736 2888 2916 2928 3024 3078 3192 3249 3294 3402 3416 3477 3591 3648 3843 3888 3904 4032 4104 4256 4286 4332 4374 4392 4536 4617 4636 4788 4941 5054 5103 5124 5184 5472 5776 5832 5856 6048 6156 6384 6429 6498 6561 6588 6804 6832 6954 7182 7581 7686 7776 8113 8208 8512 8572 8664 8748 8784 9072 9234 9272 9576 9747 9882 10108 10206 10248 10431 10773 10944 11529 11552 11664 11712 12096 12312 12768 12858 12996 13122 13176 13608 13664 13851 13908 14364 14823 15001 15162 15309 15372 15552 16226 16416 17144 17328 17496 17568 18144 18468 18544 19152 19287 19494 19764 20216 20412 20496 20862 21546 22021 22743 23058 23104 23328 24339 24624 25536 25716 25992 26244 26352 27216 27328 27702 27816 28728 29241 29646 30002 30324 30618 30744 31293 32319 32452 32832 34288 34587 34656 34992 35136 36288 36936 37088 38304 38574 38988 39528 40432 40717 40824 40992 41553 41724 43092 44042 44469 45003 45486 45927 46116 46656 48678 49248 51432 51984 52488 52704 54432 55404 55632 57456 57861 58482 59292 60004 60648 61236 61488 62586 64638 64904 66063 68229 68576 69174 69312 69984 73017 73872 74176 76608 77148 77976 79056 80864 81434 81648 81984 83106 83448 86184 87723 88084 88938 90006 90972 91854 92232 93879 96957 97356 98496 102864 103761 103968 104976 105408 108864 110808 111264 114912 115722 116964 118584 120008 121296 122151 122472 122976 124659 125172 129276 129808 130723 132126 133407 135009 136458 137152 138348 139968 146034 147744 154147 154296 155952 158112 161728 162868 163296 166212 166896 172368 173583 175446 176168 177876 180012 181944 183708 184464 187758 193914 194712 198189 204687 205728 207522 207936 209952 219051 221616 222528 229824 231444 233928 237168 240016 242592 244302 244944 245952 249318 250344 258552 259616 261446 263169 264252 266814 270018 272916 276696 281637 285019 290871 292068 295488 308294 308592 311283 311904 316224 325736 326592 332424 333792 344736 347166 350892 352336 355752 360024 363888 366453 367416 368928 375516 387828 389424 392169 396378 400221 405027 409374 411456 415044 419904 438102 443232 462441 462888 467856 474336 480032 485184 488604 489888 498636 500688 517104 519232 520749 522892 526338 528504 533628 540036 545832 553392 563274 570038 581742 584136 594567 614061 616588 617184 622566 623808 651472 657153 664848 667584 689472 694332 701784 704672 711504 720048 727776 732906 734832 737856 751032 773623 775656 778848 784338 789507 792756 800442 810054 818748 830088 844911 855057 872613 876204 886464 915061 924882 925776 933849 935712 948672 960064 977208 979776 997272 1001376 1034208 1041498 1045784 1052676 1057008 1067256 1080072 1091664 1099359 1106784 1126548 1140076 1163484 1168272 1176507 1189134 1215081 1228122 1233176 1234368 1245132 1302944 1314306 1329696 1387323 1388664 1403568 1409344 1423008 1440096 1455552 1465812 1469664 1502064 1547246 1551312 1557696 1562247 1568676 1579014 1585512 1600884 1620108 1637496 1660176 1689822 1710114 1745226 1752408 1783701 1830122 1842183 1849764 1851552 1867698 1871424 1954416 1971459 1994544 2002752 2068416 2082996 2091568 2105352 2114016 2134512 2160144 2183328 2198718 2213568 2253096 2280152 2320869 2326968 2336544 2353014 2368521 2378268 2430162 2456244 2466352 2483737 2490264 2534733 2565171 2605888 2628612 2659392 2745183 2774646 2777328 2801547 2807136 2846016 2880192 2931624 2939328 3004128 3094492 3102624 3124494 3137352 3158028 3171024 3201768 3240216 3274992 3298077 3320352 3379644 3420228 3490452 3504816 3529521 3567402 3645243 3660244 3684366 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6437846304 6648923232 6767654004 6795504432 6861388824 7018307856 7115514336 7191882432 7242577092 7480038636 7510820688 7644942486 7895596338 7928088504 8004953628 8090867736 8449673274 8548615584 8919099567 9023538672 9060672576 9148518432 9246705984 9357743808 9656769456 9973384848 10014427584 10151481006 10193256648 10527461784 10570784672 10673271504 10787823648 10863865638 11266231032 11467413729 11843394507 11892132756 12007430442 12031384896 12674509911 12875692608 13297846464 13535308008 13591008864 13722777648 14036615712 14231028672 14485154184 14960077272 15021641376 15289884972 15791192676 15856177008 16009907256 16181735472 16295798457 16899346548 17097231168 17838199134 18047077344 18297036864 19313538912 19946769696 20302962012 20386513296 21054923568 21141569344 21346543008 21575647296 21727731276 22532462064 22934827458 23686789014 23784265512 24014860884 25349019822 26757298701 27070616016 27182017728 27445555296 28073231424 28970308368 29920154544 30043282752 30579769944 31582385352 31712354016 32019814512 32363470944 32591596914 33798693096 34402241187 35530183521 35676398268 36094154688 38023529733 38627077824 39893539392 40605924024 40773026592 42109847136 42693086016 43455462552 45064924128 45869654916 47373578028 47568531024 48029721768 50698039644 53514597402 54141232032 54891110592 57940616736 59840309088 61159539888 63164770704 63424708032 64039629024 64726941888 65183193828 67597386192 68804482374 71060367042 71352796536 76047059466 80271896103 81211848048 81546053184 84219694272 86910925104 90129848256 91739309832 94747156056 95137062048 96059443536 101396079288 103206723561 107029194804 108282464064 114070589199 115881233472 119680618176 122319079776 126329541408 128079258048 130366387656 135194772384 137608964748 142120734084 142705593072 152094118932 160543792206 162423696096 173821850208 183478619664 189494312112 190274124096 192118887072 202792158576 206413447122 214058389608 228141178398 240815688309 244638159552 252659082816 260732775312 270389544768 275217929496 284241468168 285411186144 304188237864 309620170683 321087584412 324847392192 347643700416 366957239328 378988624224 384237774144 405584317152 412826894244 428116779216 456282356796 481631376618 521465550624 550435858992 568482936336 570822372288 608376475728 619240341366 642175168824 722447064927 733914478656 757977248448 811168634304 825653788488 856233558432 912564713592 963262753236 1042931101248 1100871717984 1136965872672 1216752951456 1238480682732 1284350337648 1444894129854 1651307576976 1712467116864 1825129427184 1926525506472 2167341194781 2201743435968 2273931745344 2433505902912 2476961365464 2568700675296 2889788259708 3302615153952 3650258854368 3853051012944 4334682389562 4953922730928 5137401350592 5779576519416 6605230307904 7300517708736 7706102025888 8669364779124 9907845461856 11559153038832 15412204051776 17338729558248 19815690923712 23118306077664 34677459116496 46236612155328 69354918232992 138709836465984
- Sum of all divisors σ(n): 506377483243008
- Sum of proper divisors (its aliquot sum) s(n): 367667646777024
- 138709836465984 is an abundant number, because the sum of its proper divisors (367667646777024) is greater than itself. Its abundance is 228957810311040
Bases of 138709836465984
- Binary: 111111000100111111001101000011110000111010000002
- Hexadecimal: 0x7E27E6878740
- Base-36: 1D62F39000
Squares and roots of 138709836465984
- 138709836465984 squared (1387098364659842) is 19240418732420024654389088256
- 138709836465984 cubed (1387098364659843) is 2668835335911036785534279880730130917883904
-
The
square root of 138709836465984 is 11777514.0189253861 -
The
cube root of 138709836465984 is 51764.9445621129
Scales and comparisons
How big is 138709836465984?- 138,709,836,465,984 seconds is equal to 4,410,543 years, 38 weeks, 4 days, 1 hour, 26 minutes, 24 seconds.
-
To count from 1 to 138,709,836,465,984 would take you about eleven million, twenty-six thousand, three hundred fifty-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 138709836465984 cubic inches would be around 4313.7 feet tall.
Recreational maths with 138709836465984
- 138709836465984 backwards is 489564638907831
- 138709836465984 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138709836465984's digits is 81
- More coming soon!
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"Number 138709836465984 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 138709836465984 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138709836465984/
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The information we have on file for 138709836465984 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 138709836465984, math, Factors of 138709836465984, curriculum, school, college, exams, university, Prime factorization of 138709836465984, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred nine billion, eight hundred thirty-six million, four hundred sixty-five thousand, nine hundred eighty-four.