138848876328837048
138,848,876,328,837,048 is an even composite number composed of six prime numbers multiplied together.
What does the number 138848876328837048 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138848876328837048 is an even 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 138848876328837048:
23 × 3 × 113 × 233 × 412 × 4612
(2 × 2 × 2 × 3 × 11 × 11 × 11 × 23 × 23 × 23 × 41 × 41 × 461 × 461)See below for interesting mathematical facts about the number 138848876328837048 from the Numbermatics database.
Names of 138848876328837048
- Cardinal: 138848876328837048 can be written as One hundred thirty-eight quadrillion, eight hundred forty-eight trillion, eight hundred seventy-six billion, three hundred twenty-eight million, eight hundred thirty-seven thousand and forty-eight.
Scientific notation
- Scientific notation: 1.38848876328837048 × 1017
Factors of 138848876328837048
Divisors of 138848876328837048
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 11 12 22 23 24 33 41 44 46 66 69 82 88 92 121 123 132 138 164 184 242 246 253 264 276 328 363 451 461 484 492 506 529 552 726 759 902 922 943 968 984 1012 1058 1331 1353 1383 1452 1518 1587 1681 1804 1844 1886 2024 2116 2662 2706 2766 2783 2829 2904 3036 3174 3362 3608 3688 3772 3993 4232 4961 5043 5071 5324 5412 5532 5566 5658 5819 6072 6348 6724 7544 7986 8349 9922 10086 10142 10373 10603 10648 10824 11064 11132 11316 11638 12167 12696 13448 14883 15213 15972 16698 17457 18491 18901 19844 20172 20284 20746 21206 21689 22264 22632 23276 24334 29766 30426 30613 31119 31809 31944 33396 34914 36501 36982 37802 38663 39688 40344 40568 41492 42412 43378 46552 48668 54571 55473 55781 56703 59532 60852 61226 62238 63618 64009 65067 66792 69828 73002 73964 75604 77326 82984 84824 86756 91839 97336 109142 110946 111562 113406 114103 115989 116633 119064 121704 122452 124476 127236 128018 130134 133837 139656 146004 147928 151208 154652 163713 167343 173512 183678 192027 203401 207911 212521 218284 221892 223124 226812 228206 231978 233266 238579 243869 244904 248952 254472 256036 260268 267674 292008 309304 327426 334686 342309 349899 367356 384054 401511 406802 415822 425042 425293 434723 436568 443784 446248 453624 456412 463956 466532 477158 487738 498847 512072 520536 535348 610203 613591 623733 637563 654852 669372 684618 699798 704099 715737 731607 734712 768108 774941 803022 813604 831644 850084 850586 869446 889249 912824 927912 933064 954316 975476 997694 1070696 1220406 1227182 1247466 1255133 1275126 1275879 1282963 1304169 1309704 1338744 1369236 1399596 1408198 1431474 1463214 1472207 1496541 1536216 1549882 1606044 1627208 1663288 1700168 1701172 1738892 1778498 1840773 1908632 1950952 1995388 2112297 2237411 2287021 2324823 2337731 2440812 2454364 2494932 2510266 2550252 2551758 2565926 2608338 2624369 2667747 2682559 2738472 2799192 2816396 2862948 2926428 2944414 2993082 3099764 3212088 3402344 3477784 3556996 3681546 3765399 3848889 3990776 4224594 4416621 4474822 4574042 4649646 4675462 4678223 4781953 4881624 4887983 4908728 4989864 5020532 5100504 5103516 5131852 5216676 5248738 5335494 5365118 5487317 5608987 5632792 5725896 5852856 5888828 5986164 6199528 6712233 6861063 7013193 7113992 7363092 7530798 7697778 7873107 8047677 8449188 8524351 8713361 8833242 8949644 9148084 9299292 9350924 9356446 9563906 9775966 9781739 9998629 10041064 10207032 10263704 10433352 10497476 10670988 10730236 10974634 11217974 11777656 11972328 13424466 13722126 14026386 14034669 14112593 14345859 14663949 14726184 15061596 15395556 15746214 16095354 16194277 16461951 16826961 16898376 17048702 17426722 17666484 17823643 17899288 18296168 18598584 18701848 18712892 19127812 19551932 19563478 19997258 20452727 20994952 21341976 21460472 21949268 22435948 25157231 25573053 25715041 26140083 26848932 27444252 28052772 28069338 28225186 28691718 28868059 29327898 29345217 29508149 29995887 30123192 30791112 31492428 32190708 32388554 32923902 33653922 34097404 34853444 35332968 35647286 37425784 38255624 39103864 39126956 39994516 40905454 42337779 43898536 44871896 48582831 50314462 51146106 51430082 51460453 52280166 52601483 53470929 53697864 53767813 54888504 56105544 56138676 56450372 57383436 57736118 58655796 58690434 59016298 59991774 60360487 61358181 61698857 62984856 64381416 64777108 65847804 67307844 68194808 69706888 71294572 75471693 77145123 78253912 79989032 81810908 84675558 86604177 88524447 93767861 95846971 97165662 100628924 102292212 102860164 102920906 104560332 105202966 106941858 107535626 107599129 109984919 112277352 112423609 112900744 114766872 115472236 117311592 117380868 118032596 119983548 120720974 122716362 123397714 129554216 131695608 134615688 142589144 150943386 154290246 154381359 157804449 161303439 163621816 169351116 173208354 177048894 181081461 185096571 187535722 191693942 194331324 196060073 200407303 201257848 204584424 205720328 205841812 209120664 210405932 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6188678826 6325900086 6469982409 6505905373 6613440999 6788770824 6943395756 7097351316 7101542514 7259004654 7419958194 7424339901 7465561697 7588959411 7757229021 7790151336 7859451622 7967584284 8144249124 8216699423 8251571768 8434533448 8573947224 8626643212 8817921332 9018763358 9218735938 9428707147 9468723352 9678672872 9838650936 9893277592 9899119868 10118612548 10342972028 11597483491 11789177433 12377357652 12651800172 12939964818 13011810746 13226881998 13308175199 13528145037 13603256689 13828103907 13886791512 14194702632 14203085028 14518009308 14839916388 14848679802 14931123394 15177918822 15514458042 15718903244 15935168568 16288498248 16433398846 17253286424 17635842664 18037526716 18437471876 18857414294 19517716119 19798239736 20237225096 20685944056 22396685091 23194966982 23578354866 23723268833 24249283663 24650098269 24754715304 25303600344 25879929636 26023621492 26453763996 26616350398 27056290074 27206513378 27222579637 27656207814 27826184507 28286121441 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163239080268 163335477822 166957107042 170659038462 172907935684 179173480728 180767387306 188984086729 189786150664 193994269304 197200786152 198412793876 202812190636 207431557234 212030926574 217780637096 222609476056 226288971528 227545384616 259361903526 266742120293 271151080959 278339603784 284679225996 290991403956 297619190814 299271647158 304218285954 306088029577 311147335851 312874903847 318046389861 319396204776 326478160536 326670955644 333914214084 341318076924 345815871368 361534774612 377968173458 396825587752 405624381272 414863114468 424061853148 448907470737 475496823131 518723807052 533484240586 542302161918 545635183159 557733524249 566952260187 569358451992 581982807912 595238381628 598543294316 608436571908 612176059154 622294671702 625749807694 636092779722 653341911288 667828428168 682636153848 723069549224 755936346916 800226360879 829726228936 848123706296 897814941474 918264088731 938624711541 950993646262 994220630183 1037447614104 1066968481172 1084604323836 1091270366318 1115467048498 1133904520374 1140873564787 1166170096157 1190476763256 1197086588632 1216873143816 1224352118308 1244589343404 1251499615388 1272185559444 1426490469393 1511872693832 1600452721758 1636905549477 1673200572747 1795629882948 1836528177462 1877249423082 1901987292524 1988441260366 2078824954019 2133936962344 2169208647672 2182540732636 2230934096996 2267809040748 2281747129574 2332340192314 2448704236616 2489178686808 2502999230776 2544371118888 2852980938786 2982661890549 3200905443516 3273811098954 3346401145494 3422620694361 3441623942317 3498510288471 3591259765896 3673056354924 3754498846164 3803974585048 3976882520732 4157649908038 4346633994767 4365081465272 4461868193992 4535618081496 4563494259148 4664680384628 5705961877572 5965323781098 6135068766739 6236474862057 6401810887032 6547622197908 6692802290988 6845241388722 6883247884634 6997020576942 7346112709848 7508997692328 7953765041464 8315299816076 8693267989534 9126988518296 9329360769256 10324871826951 10936426932013 11411923755144 11930647562196 12270137533478 12472949724114 12549609212657 12827871057727 13039901984301 13095244395816 13385604581976 13690482777444 13766495769268 13994041153884 16630599632152 17386535979068 18405206300217 20649743653902 21872853864026 22867074494209 23861295124392 24540275066956 24945899448228 25099218425314 25655742115454 26079803968602 27380965554888 27532991538536 27988082307768 32809280796039 34773071958136 36810412600434 37648827637971 38483613173181 41299487307804 43745707728052 45734148988418 47812973942437 49080550133912 49891798896456 50198436850628 51311484230908 52159607937204 65618561592078 68601223482627 73620825200868 75297655275942 76967226346362 82598974615608 87491415456104 91468297976836 95625947884874 100396873701256 102622968461816 104319215874408 131237123184156 137202446965254 141106581634997 143438921827311 147241650401736 150595310551884 153934452692724 182936595953672 191251895769748 251537819436299 262474246368312 274404893930508 282213163269994 286877843654622 301190621103768 307868905385448 382503791539496 423319744904991 503075638872598 525942713366807 548809787861016 564426326539988 573755687309244 754613458308897 846639489809982 1006151277745196 1051885426733614 1128852653079976 1147511374618488 1509226916617794 1577828140100421 1693278979619964 2012302555490392 2103770853467228 3018453833235588 3155656280200842 3386557959239928 4207541706934456 5785369847034877 6036907666471176 6311312560401684 11570739694069754 12622625120803368 17356109541104631 23141479388139508 34712219082209262 46282958776279016 69424438164418524 138848876328837048
- Sum of all divisors σ(n): 410024356714483200
- Sum of proper divisors (its aliquot sum) s(n): 271175480385646152
- 138848876328837048 is an abundant number, because the sum of its proper divisors (271175480385646152) is greater than itself. Its abundance is 132326604056809104
Bases of 138848876328837048
- Binary: 1111011010100101001010001001111110000101011011111101110002
- Hexadecimal: 0x1ED4A513F0ADFB8
- Base-36: 11Z5TH7EFU0O
Squares and roots of 138848876328837048
- 138848876328837048 squared (1388488763288370482) is 19279010457780685112049900137354304
- 138848876328837048 cubed (1388488763288370483) is 2676868938794746469615791813647929114024687857454592
-
The
square root of 138848876328837048 is 372624309.9005176929 -
The
cube root of 138848876328837048 is 517822.3482182759
Scales and comparisons
How big is 138848876328837048?- 138,848,876,328,837,048 seconds is equal to 4,414,964,779 years, 25 weeks, 21 hours, 50 minutes, 48 seconds.
-
To count from 1 to 138,848,876,328,837,048 would take you about thirteen billion, two hundred forty-four million, eight hundred ninety-four thousand, three hundred thirty-eight 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 138848876328837048 cubic inches would be around 43151.9 feet tall.
Recreational maths with 138848876328837048
- 138848876328837048 backwards is 840738823678848831
- The number of decimal digits it has is: 18
- The sum of 138848876328837048's digits is 96
- More coming soon!
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"Number 138848876328837048 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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The information we have on file for 138848876328837048 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 138848876328837048, math, Factors of 138848876328837048, curriculum, school, college, exams, university, Prime factorization of 138848876328837048, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred forty-eight trillion, eight hundred seventy-six billion, three hundred twenty-eight million, eight hundred thirty-seven thousand and forty-eight.