138014784949120992
138,014,784,949,120,992 is an even composite number composed of six prime numbers multiplied together.
What does the number 138014784949120992 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
138014784949120992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138014784949120992:
25 × 33 × 112 × 37 × 211 × 169099499
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 37 × 211 × 169099499)See below for interesting mathematical facts about the number 138014784949120992 from the Numbermatics database.
Names of 138014784949120992
- Cardinal: 138014784949120992 can be written as One hundred thirty-eight quadrillion, fourteen trillion, seven hundred eighty-four billion, nine hundred forty-nine million, one hundred twenty thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.38014784949120992 × 1017
Factors of 138014784949120992
Divisors of 138014784949120992
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 37 44 48 54 66 72 74 88 96 99 108 111 121 132 144 148 176 198 211 216 222 242 264 288 296 297 333 352 363 396 407 422 432 444 484 528 592 594 633 666 726 792 814 844 864 888 968 999 1056 1089 1184 1188 1221 1266 1332 1452 1584 1628 1688 1776 1899 1936 1998 2178 2321 2376 2442 2532 2664 2904 3168 3256 3267 3376 3552 3663 3798 3872 3996 4356 4477 4642 4752 4884 5064 5328 5697 5808 6512 6534 6752 6963 7326 7596 7807 7992 8712 8954 9284 9504 9768 10128 10656 10989 11394 11616 13024 13068 13431 13926 14652 15192 15614 15984 17424 17908 18568 19536 20256 20889 21978 22788 23421 25531 26136 26862 27852 29304 30384 31228 31968 34848 35816 37136 39072 40293 41778 43956 45576 46842 51062 52272 53724 55704 58608 60768 62456 62667 70263 71632 74272 76593 80586 83556 85877 87912 91152 93684 102124 104544 107448 111408 117216 120879 124912 125334 140526 143264 153186 161172 167112 171754 175824 182304 187368 204248 210789 214896 222816 229779 241758 249824 250668 257631 281052 306372 322344 334224 343508 351648 374736 408496 421578 429792 459558 483516 501336 515262 562104 612744 644688 668448 687016 689337 749472 772893 816992 843156 919116 944647 967032 1002672 1030524 1124208 1225488 1289376 1374032 1378674 1545786 1686312 1838232 1889294 1934064 2005344 2061048 2248416 2318679 2450976 2748064 2757348 2833941 3091572 3372624 3676464 3778588 3868128 4122096 4637358 5514696 5667882 6183144 6745248 7352928 7557176 8244192 8501823 9274716 11029392 11335764 12366288 15114352 17003646 18549432 22058784 22671528 24732576 25505469 30228704 34007292 37098864 45343056 51010938 68014584 74197728 90686112 102021876 136029168 169099499 204043752 272058336 338198998 408087504 507298497 676397996 816175008 1014596994 1352795992 1521895491 1860094489 2029193988 2705591984 3043790982 3720188978 4058387976 4565686473 5411183968 5580283467 6087581964 6256681463 7440377956 8116775952 9131372946 11160566934 12175163928 12513362926 14880755912 16233551904 16740850401 18262745892 18770044389 20461039379 22321133868 24350327856 25026725852 29761511824 33481700802 35679994289 36525491784 37540088778 40922078758 44642267736 48700655712 50053451704 50222551203 56310133167 59523023648 61383118137 66963401604 68823496093 71359988578 73050983568 75080177556 81844157516 89284535472 100106903408 100445102406 107039982867 112620266334 122766236274 133926803208 137646992186 142719977156 146101967136 150160355112 163688315032 168930399501 178569070944 184149354411 200213806816 200890204812 206470488279 214079965734 225240532668 245532472548 267853606416 275293984372 285439954312 300320710224 321119948601 327376630064 337860799002 368298708822 392479937179 401780409624 412940976558 428159931468 450481065336 491064945096 535707212832 550587968744 552448063233 570879908624 600641420448 619411464837 642239897202 654753260128 675721598004 736597417644 757058457023 784959874358 803560819248 825881953116 856319862936 900962130672 963359845803 982129890192 1101175937488 1104896126466 1141759817248 1177439811537 1238822929674 1284479794404 1320159788693 1351443196008 1473194835288 1514116914046 1569919748716 1607121638496 1651763906232 1712639725872 1801924261344 1858234394511 1926719691606 1964259780384 2202351874976 2209792252932 2271175371069 2354879623074 2477645859348 2568959588808 2640319577386 2702886392016 2946389670576 3028233828092 3139839497432 3303527812464 3425279451744 3532319434611 3716468789022 3853439383212 3960479366079 4317279308969 4419584505864 4542350742138 4709759246148 4955291718696 5137919177616 5280639154772 5405772784032 5892779341152 6056467656184 6279678994864 6607055624928 6813526113207 7064638869222 7432937578044 7706878766424 7920958732158 8634558617938 8839169011728 9084701484276 9419518492296 9910583437392 10275838355232 10561278309544 10596958303833 11881438098237 12112935312368 12559357989728 12951837926907 13627052226414 14129277738444 14521757675623 14865875156088 15413757532848 15841917464316 17269117235876 17678338023456 18169402968552 18839036984592 19821166874784 20440578339621 21122556619088 21193916607666 23762876196474 24225870624736 25903675853814 27254104452828 28258555476888 29043515351246 29731750312176 30827515065696 31683834928632 34538234471752 35644314294711 36338805937104 37678073969184 38855513780721 40881156679242 42245113238176 42387833215332 43565273026869 47525752392948 51807351707628 54508208905656 56517110953776 58087030702492 59463500624352 63367669857264 69076468943504 71288628589422 72677611874208 77711027561442 81762313358484 84775666430664 87130546053738 95051504785896 103614703415256 109016417811312 113034221907552 116174061404984 116566541342163 126735339714528 130695819080607 138152937887008 142577257178844 155422055122884 159739334431853 163524626716968 169551332861328 174261092107476 190103009571792 207229406830512 218032835622624 232348122809968 233133082684326 261391638161214 285154514357688 310844110245768 319478668863706 327049253433936 339102665722656 348522184214952 380206019143584 392087457241821 414458813661024 464696245619936 466266165368652 479218003295559 522783276322428 570309028715376 621688220491536 638957337727412 654098506867872 697044368429904 784174914483642 932532330737304 958436006591118 1045566552644856 1140618057430752 1243376440983072 1277914675454824 1394088736859808 1437654009886677 1568349828967284 1865064661474608 1916872013182236 2091133105289712 2555829350909648 2875308019773354 3136699657934568 3730129322949216 3833744026364472 4182266210579424 4312962029660031 5111658701819296 5750616039546708 6273399315869136 7667488052728944 8625924059320062 11501232079093416 12546798631738272 15334976105457888 17251848118640124 23002464158186832 34503696237280248 46004928316373664 69007392474560496 138014784949120992
- Sum of all divisors σ(n): 456576929111520000
- Sum of proper divisors (its aliquot sum) s(n): 318562144162399008
- 138014784949120992 is an abundant number, because the sum of its proper divisors (318562144162399008) is greater than itself. Its abundance is 180547359213278016
Bases of 138014784949120992
- Binary: 1111010100101001110110111001101101010010011101111111000002
- Hexadecimal: 0x1EA53B736A4EFE0
- Base-36: 11QY5OWYK3C0
Squares and roots of 138014784949120992
- 138014784949120992 squared (1380147849491209922) is 19048080864552114302322113455064064
- 138014784949120992 cubed (1380147849491209923) is 2628916784214626718038217549241512725129127847231488
-
The
square root of 138014784949120992 is 371503411.7597320155 -
The
cube root of 138014784949120992 is 516783.3795124205
Scales and comparisons
How big is 138014784949120992?- 138,014,784,949,120,992 seconds is equal to 4,388,443,253 years, 32 weeks, 2 days, 12 hours, 43 minutes, 12 seconds.
-
To count from 1 to 138,014,784,949,120,992 would take you about thirteen billion, one hundred sixty-five million, three hundred twenty-nine thousand, seven hundred sixty 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 138014784949120992 cubic inches would be around 43065.3 feet tall.
Recreational maths with 138014784949120992
- 138014784949120992 backwards is 299021949487410831
- The number of decimal digits it has is: 18
- The sum of 138014784949120992's digits is 81
- More coming soon!
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The information we have on file for 138014784949120992 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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