138888713987433648
138,888,713,987,433,648 is an even composite number composed of five prime numbers multiplied together.
What does the number 138888713987433648 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
138888713987433648 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138888713987433648:
24 × 33 × 72 × 973 × 1933
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 97 × 97 × 97 × 193 × 193 × 193)See below for interesting mathematical facts about the number 138888713987433648 from the Numbermatics database.
Names of 138888713987433648
- Cardinal: 138888713987433648 can be written as One hundred thirty-eight quadrillion, eight hundred eighty-eight trillion, seven hundred thirteen billion, nine hundred eighty-seven million, four hundred thirty-three thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.38888713987433648 × 1017
Factors of 138888713987433648
Divisors of 138888713987433648
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 97 98 108 112 126 144 147 168 189 193 194 196 216 252 291 294 336 378 386 388 392 432 441 504 579 582 588 679 756 772 776 784 873 882 1008 1158 1164 1176 1323 1351 1358 1512 1544 1552 1737 1746 1764 2037 2316 2328 2352 2619 2646 2702 2716 3024 3088 3474 3492 3528 4053 4074 4632 4656 4753 5211 5238 5292 5404 5432 6111 6948 6984 7056 8106 8148 9264 9409 9457 9506 10422 10476 10584 10808 10864 12159 12222 13896 13968 14259 16212 16296 18333 18721 18818 18914 19012 20844 20952 21168 21616 24318 24444 27792 28227 28371 28518 32424 32592 36477 36666 37249 37442 37636 37828 38024 41688 41904 42777 48636 48888 56163 56454 56742 57036 64848 65863 72954 73332 74498 74884 75272 75656 76048 83376 84681 85113 85554 97272 97776 111747 112326 112908 113484 114072 128331 131047 131726 145908 146664 148996 149768 150544 151312 168489 169362 170226 171108 194544 197589 223494 224652 225816 226968 228144 254043 255339 256662 260743 262094 263452 291816 293328 297992 299536 335241 336978 338724 340452 342216 393141 395178 446988 449304 451632 453936 461041 505467 508086 510678 513324 521486 524188 526904 583632 592767 595984 670482 673956 677448 680904 684432 782229 786282 790356 893976 898608 912673 917329 922082 1005723 1010934 1016172 1021356 1026648 1042972 1048376 1053808 1179423 1185534 1340964 1347912 1354896 1361808 1383123 1564458 1572564 1580712 1778301 1787952 1815937 1825201 1825346 1834658 1844164 2011446 2021868 2032344 2042712 2053296 2085944 2096752 2346687 2358846 2371068 2681928 2695824 2738019 2751987 2766246 3128916 3145128 3161424 3538269 3556602 3613153 3631874 3650402 3650692 3669316 3688328 4022892 4043736 4064688 4085424 4149369 4171888 4693374 4717692 4742136 5363856 5447811 5475603 5476038 5503974 5532492 6257832 6290256 6388711 7040061 7076538 7113204 7189057 7226306 7263748 7300804 7301384 7338632 7376656 8045784 8087472 8214057 8255961 8298738 9386748 9435384 9484272 10839459 10895622 10951206 10952076 11007948 11064984 12448107 12515664 12711559 12777422 14080122 14153076 14226408 14378114 14452612 14527496 14601608 14602768 14677264 16091568 16343433 16426809 16428114 16511922 16597476 18773496 18870768 19166133 21567171 21678918 21791244 21902412 21904152 22015896 22129968 24642171 24767883 24896214 25292071 25423118 25554844 28160244 28306152 28452816 28756228 28905224 29054992 29203216 32518377 32686866 32853618 32856228 33023844 33194952 37546992 38134677 38332266 43134342 43357836 43582488 43804824 43808304 44031792 44720977 49030299 49280427 49284342 49535766 49792428 50323399 50584142 50846236 51109688 56320488 56612304 57498399 57512456 57810448 64701513 65036754 65373732 65707236 65712456 66047688 66389904 75876213 76269354 76664532 86268684 86715672 87164976 87609648 88980913 89441954 97555131 98060598 98560854 98568684 99071532 99584856 100646798 101168284 101692472 102219376 112640976 114404031 114996798 115024912 129403026 130073508 130747464 131414472 131424912 132095376 134162931 150970197 151752426 152538708 153329064 172495197 172537368 173431344 176145889 177044497 177961826 178883908 194104539 195110262 196121196 197121708 197137368 198143064 199169712 201293596 202336568 203384944 227628639 228808062 229993596 258806052 260147016 261494928 262828944 266942739 268325862 301940394 303504852 305077416 306658128 343212093 344990394 345074736 350475841 352263793 352291778 354088994 355923652 357767816 388209078 390220524 392242392 394243416 394274736 396286128 402488793 402587192 404673136 452910591 455257278 457616124 459987192 517612104 520294032 528437667 531133491 533885478 536651724 603880788 607009704 610154832 682885917 686424186 689980788 697338529 700951682 704527586 704583556 708177988 711847304 715535632 776418156 780441048 784484784 788486832 800828217 804977586 805174384 905821182 910514556 915232248 919974384 1035224208 1051427523 1056791379 1056875334 1062266982 1067770956 1073303448 1207466379 1207761576 1214019408 1233021223 1358731773 1365771834 1372848372 1379961576 1394677058 1401903364 1409055172 1409167112 1416355976 1423694608 1552836312 1560882096 1585313001 1593400473 1601656434 1609955172 1811642364 1821029112 1830464496 2092015587 2102855046 2113582758 2113750668 2124533964 2135541912 2146606896 2402484651 2414932758 2415523152 2453330887 2466042446 2717463546 2731543668 2745696744 2759923152 2789354116 2803806728 2818110344 2818334224 2832711952 3105672624 3154282569 3170374137 3170626002 3186800946 3203312868 3219910344 3623284728 3642058224 3699063669 4184031174 4205710092 4227165516 4227501336 4249067928 4271083824 4755939003 4780201419 4804969302 4829865516 4881369703 4906661774 4932084892 5434927092 5463087336 5491393488 5578708232 5607613456 5636220688 6276046761 6308565138 6340748274 6341252004 6373601892 6406625736 6439820688 7246569456 7359992661 7398127338 8368062348 8411420184 8454331032 8455002672 8498135856 8631148561 9462847707 9511122411 9511878006 9560402838 9609938604 9659731032 9762739406 9813323548 9864169784 10869854184 10926174672 11097191007 11157416464 12552093522 12617130276 12681496548 12682504008 12747203784 12813251472 14644109109 14719985322 14796254676 16736124696 16822840368 16908662064 17173316209 17262297122 18828140283 18925695414 19022244822 19023756012 19120805676 19219877208 19319462064 19525478812 19626647096 19728339568 21739708368 22079977983 22194382014 25104187044 25234260552 25362993096 25365008016 25494407568 25893445683 29288218218 29439970644 29592509352 33291573021 33472249392 33996156577 34169587921 34346632418 34524594244 37656280566 37851390828 38044489644 38047512024 38241611352 38439754416 39050957624 39253294192 43932327327 44159955966 44388764028 50208374088 50468521104 50725986192 51519948627 51786891366 58576436436 58879941288 59185018704 66239933949 66583146042 67641837313 67992313154 68339175842 68693264836 69049188488 75312561132 75702781656 76088979288 76095024048 76483222704 77680337049 78101915248 87864654654 88319911932 88777528056 100416748176 101988469731 102508763763 103039897254 103573782732 117152872872 117759882576 131796981981 132479867898 133166292084 135283674626 135984626308 136678351684 137386529672 138098376976 150625122264 151405563312 152177958576 154559845881 155360674098 175729309308 176639823864 177555056112 202925511939 203976939462 205017527526 206079794508 207147565464 233041011147 234305745744 237973096039 263593963962 264959735796 266332584168 270567349252 271969252616 273356703368 274773059344 301250244528 305965409193 307526291289 309119691762 310721348196 351458618616 353279647728 405851023878 407953878924 410035055052 412159589016 414295130928 463679537643 466082022294 473492861191 475946192078 527187927924 529919471592 532665168336 541134698504 543938505232 546713406736 608776535817 611930818386 615052582578 618239383524 621442696392 702917237232 713919288117 811702047756 815907757848 820070110104 824319178032 917896227579 922578873867 927359075286 932164044588 946985722382 951892384156 1054375855848 1059838943184 1082269397008 1217553071634 1223861636772 1230105165156 1236478767048 1242885392784 1420478583573 1427838576234 1623404095512 1631815515696 1640140220208 1665811672273 1826329607451 1835792455158 1845157747734 1854718150572 1864328089176 1893971444764 1903784768312 2108751711696 2141757864351 2435106143268 2447723273544 2460210330312 2472957534096 2840957167146 2855677152468 3246808191024 3314450028337 3331623344546 3652659214902 3671584910316 3690315495468 3709436301144 3728656178352 3787942889528 3807569536624 4261435750719 4283515728702 4870212286536 4895446547088 4920420660624 4997435016819 5681914334292 5711354304936 6425273593053 6561258219361 6628900056674 6663246689092 7305318429804 7343169820632 7380630990936 7418872602288 7575885779056 8522871501438 8567031457404 9740424573072 9943350085011 9994870033638 11363828668584 11422708609872 12784307252157 12850547186106 13122516438722 13257800113348 13326493378184 14610636859608 14686339641264 14761261981872 14992305050457 17045743002876 17134062914808 19683774658083 19886700170022 19989740067276 22727657337168 25568614504314 25701094372212 26245032877444 26515600226696 26652986756368 29221273719216 29830050255033 29984610100914 34091486005752 34268125829616 39367549316166 39773400340044 39979480134552 44976915151371 45928807535527 51137229008628 51402188744424 52490065754888 53031200453392 59051323974249 59660100510066 59969220201828 68182972011504 78735098632332 79546800680088 79958960269104 89490150765099 89953830302742 91857615071054 102274458017256 102804377488848 104980131509776 118102647948498 119320201020132 119938440403656 137786422606581 157470197264664 159093601360176 177153971922747 178980301530198 179907660605484 183715230142108 204548916034512 236205295896996 238640402040264 239876880807312 275572845213162 314940394529328 321501652748689 354307943845494 357960603060396 359815321210968 367430460284216 413359267819743 472410591793992 477280804080528 551145690426324 643003305497378 708615887690988 715921206120792 719630642421936 734860920568432 826718535639486 944821183587984 964504958246067 1102291380852648 1240077803459229 1286006610994756 1417231775381976 1431842412241584 1653437071278972 1929009916492134 2204582761705296 2480155606918458 2572013221989512 2834463550763952 2893514874738201 3306874142557944 3858019832984268 4960311213836916 5144026443979024 5787029749476402 6613748285115888 7716039665968536 8680544624214603 9920622427673832 11574059498952804 15432079331937072 17361089248429206 19841244855347664 23148118997905608 34722178496858412 46296237995811216 69444356993716824 138888713987433648
- Sum of all divisors σ(n): 471020974863600000
- Sum of proper divisors (its aliquot sum) s(n): 332132260876166352
- 138888713987433648 is an abundant number, because the sum of its proper divisors (332132260876166352) is greater than itself. Its abundance is 193243546888732704
Bases of 138888713987433648
- Binary: 1111011010110111010001100101011001000100000100100101100002
- Hexadecimal: 0x1ED6E8CAC8824B0
- Base-36: 11ZJXUDFSGC0
Squares and roots of 138888713987433648
- 138888713987433648 squared (1388887139874336482) is 19290074873083147062255257202587904
- 138888713987433648 cubed (1388887139874336483) is 2679173691843825639587992461354605982657201087393792
-
The
square root of 138888713987433648 is 372677761.5949651053 -
The
cube root of 138888713987433648 is 517871.8669417573
Scales and comparisons
How big is 138888713987433648?- 138,888,713,987,433,648 seconds is equal to 4,416,231,493 years, 41 weeks, 4 days, 10 hours, 40 minutes, 48 seconds.
-
To count from 1 to 138,888,713,987,433,648 would take you about thirteen billion, two hundred forty-eight million, six hundred ninety-four thousand, four hundred eighty-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 138888713987433648 cubic inches would be around 43156 feet tall.
Recreational maths with 138888713987433648
- 138888713987433648 backwards is 846334789317888831
- The number of decimal digits it has is: 18
- The sum of 138888713987433648's digits is 99
- More coming soon!
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The information we have on file for 138888713987433648 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 138888713987433648, math, Factors of 138888713987433648, curriculum, school, college, exams, university, Prime factorization of 138888713987433648, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred eighty-eight trillion, seven hundred thirteen billion, nine hundred eighty-seven million, four hundred thirty-three thousand, six hundred forty-eight.