138744336215744064
138,744,336,215,744,064 is an even composite number composed of four prime numbers multiplied together.
What does the number 138744336215744064 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1911 divisors.
138744336215744064 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eleven divisors.
Prime factorization of 138744336215744064:
26 × 312 × 132 × 176
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 17 × 17 × 17 × 17 × 17 × 17)See below for interesting mathematical facts about the number 138744336215744064 from the Numbermatics database.
Names of 138744336215744064
- Cardinal: 138744336215744064 can be written as One hundred thirty-eight quadrillion, seven hundred forty-four trillion, three hundred thirty-six billion, two hundred fifteen million, seven hundred forty-four thousand and sixty-four.
Scientific notation
- Scientific notation: 1.38744336215744064 × 1017
Factors of 138744336215744064
Divisors of 138744336215744064
- Number of divisors d(n): 1911
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 64 68 72 78 81 96 102 104 108 117 136 144 153 156 162 169 192 204 208 216 221 234 243 272 288 289 306 312 324 338 351 408 416 432 442 459 468 486 507 544 576 578 612 624 648 663 676 702 729 816 832 864 867 884 918 936 972 1014 1053 1088 1156 1224 1248 1296 1326 1352 1377 1404 1458 1521 1632 1728 1734 1768 1836 1872 1944 1989 2028 2106 2187 2312 2448 2496 2592 2601 2652 2704 2754 2808 2873 2916 3042 3159 3264 3468 3536 3672 3744 3757 3888 3978 4056 4131 4212 4374 4563 4624 4896 4913 5184 5202 5304 5408 5508 5616 5746 5832 5967 6084 6318 6561 6936 7072 7344 7488 7514 7776 7803 7956 8112 8262 8424 8619 8748 9126 9248 9477 9792 9826 10404 10608 10816 11016 11232 11271 11492 11664 11934 12168 12393 12636 13122 13689 13872 14144 14688 14739 15028 15552 15606 15912 16224 16524 16848 17238 17496 17901 18252 18496 18954 19652 19683 20808 21216 22032 22464 22542 22984 23328 23409 23868 24336 24786 25272 25857 26244 27378 27744 28431 29376 29478 30056 31212 31824 32448 33048 33696 33813 34476 34992 35802 36504 37179 37908 39304 39366 41067 41616 42432 44064 44217 45084 45968 46656 46818 47736 48672 48841 49572 50544 51714 52488 53703 54756 55488 56862 58956 59049 60112 62424 63648 63869 66096 67392 67626 68952 69984 70227 71604 73008 74358 75816 77571 78608 78732 82134 83232 83521 85293 88128 88434 90168 91936 93636 95472 97344 97682 99144 101088 101439 103428 104976 107406 109512 111537 113724 117912 118098 120224 123201 124848 127296 127738 132192 132651 135252 137904 139968 140454 143208 146016 146523 148716 151632 155142 157216 157464 161109 164268 166464 167042 170586 176868 177147 180336 183872 187272 190944 191607 195364 198288 202176 202878 206856 209952 210681 214812 219024 223074 227448 232713 235824 236196 240448 246402 249696 250563 255476 255879 264384 265302 270504 275808 280908 286416 292032 293046 297432 303264 304317 310284 314432 314928 322218 328536 334084 334611 341172 353736 354294 360672 369603 374544 381888 383214 390728 396576 397953 405756 413712 419904 421362 429624 438048 439569 446148 454896 465426 471648 472392 483327 492804 499392 501126 510952 511758 530604 531441 541008 551616 561816 572832 574821 586092 594864 606528 608634 620568 629856 632043 644436 657072 668168 669222 682344 698139 707472 708588 721344 739206 749088 751689 766428 767637 781456 793152 795906 811512 827424 830297 842724 859248 876096 879138 892296 909792 912951 930852 943296 944784 966654 985608 1002252 1003833 1021904 1023516 1061208 1062882 1082016 1085773 1108809 1123632 1145664 1149642 1172184 1189728 1193859 1217268 1241136 1259712 1264086 1288872 1314144 1318707 1336336 1338444 1364688 1396278 1414944 1417176 1419857 1449981 1478412 1498176 1503378 1532856 1535274 1562912 1591812 1623024 1654848 1660594 1685448 1718496 1724463 1758276 1784592 1819584 1825902 1861704 1889568 1896129 1933308 1971216 2004504 2007666 2043808 2047032 2094417 2122416 2125764 2164032 2171546 2217618 2247264 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143530504416 146852969796 147084622659 149050908432 151973475264 152501160942 155491379784 157818608928 158366590209 161471817468 164637931536 167102056512 167682271986 170970159672 174322515744 174927802257 177545935044 180742116672 181027227888 184576781376 185217672978 187693736544 192341429631 195803959728 196112830212 198734544576 203334881256 207321839712 207648879048 211155453612 215295756624 219517242048 220279454694 223576362648 227960212896 228751741413 233237069676 236727913392 241369637184 242207726202 246956897304 251523407979 256455239508 261071946304 261483773616 271113175008 271540841832 276865172064 277826509467 281540604816 287061008832 293705939592 294169245318 298101816864 305002321884 310982759568 315637217856 316733180418 322943634936 329275863072 330419182041 335364543972 341940319344 348645031488 349855604514 355091870088 362054455776 363311589303 370435345956 375387473088 384682859262 391607919456 392225660424 406669762512 414643679424 415297758096 422310907224 430591513248 440558909388 441253867977 447152725296 455920425792 457503482826 466474139352 473455826784 475099770627 484415452404 493913794608 503046815958 512910479016 522967547232 524783406771 542226350016 543081683664 553730344128 555653018934 563081209632 577024288893 587411879184 588338490636 596203633728 610004643768 621965519136 633466360836 645887269872 658551726144 660838364082 670729087944 683880638688 686255224239 699711209028 710183740176 724108911552 726623178606 740870691912 754570223937 769365718524 783215838912 784451320848 813339525024 830595516192 833479528401 844621814448 861183026496 881117818776 882507735954 894305450592 915006965652 932948278704 946911653568 950199541254 968830904808 987827589216 991257546123 1006093631916 1025820958032 1045935094464 1049566813542 1086163367328 1089934767909 1111306037868 1126162419264 1154048577786 1174823758368 1176676981272 1220009287536 1243931038272 1266932721672 1291774539744 1321676728164 1341458175888 1367761277376 1372510448478 1399422418056 1420367480352 1425299311881 1453246357212 1481741383824 1509140447874 1538731437048 1568902641696 1574350220313 1626679050048 1661191032384 1666959056802 1689243628896 1762235637552 1765015471908 1788610901184 1830013931304 1865896557408 1900399082508 1937661809616 1975655178432 1982515092246 2012187263832 2051641916064 2058765672717 2099133627084 2172326734656 2179869535818 2222612075736 2308097155572 2349647516736 2353353962544 2440018575072 2500438585203 2533865443344 2583549079488 2643353456328 2682916351776 2745020896956 2798844836112 2840734960704 2850598623762 2906492714424 2963482767648 2973772638369 3018280895748 3077462874096 3137805283392 3148700440626 3269804303727 3333918113604 3378487257792 3524471275104 3530030943816 3660027862608 3731793114816 3800798165016 3875323619232 3965030184492 4024374527664 4103283832128 4117531345434 4198267254168 4275897935643 4359739071636 4445224151472 4616194311144 4706707925088 4723050660939 4880037150144 5000877170406 5067730886688 5286706912656 5365832703552 5490041793912 5597689672224 5701197247524 5812985428848 5926965535296 5947545276738 6036561791496 6154925748192 6176297018151 6297400881252 6539608607454 6667836227208 7048942550208 7060061887632 7320055725216 7501315755609 7601596330032 7750647238464 7930060368984 8048749055328 8235062690868 8396534508336 8551795871286 8719478143272 8890448302944 8921317915107 9232388622288 9413415850176 9446101321878 9809412911181 10001754340812 10135461773376 10573413825312 10980083587824 11195379344448 11402394495048 11625970857696 11895090553476 12073123582992 12309851496384 12352594036302 12594801762504 12827693806929 13079217214908 13335672454416 14120123775264 14169151982817 14640111450432 15002631511218 15203192660064 15860120737968 16097498110656 16470125381736 16793069016672 17103591742572 17438956286544 17780896605888 17842635830214 18464777244576 18528891054453 18892202643756 19618825822362 20003508681624 21146827650624 21960167175648 22804788990096 23251941715392 23790181106952 24146247165984 24705188072604 25189603525008 25655387613858 26158434429816 26671344908832 26763953745321 28240247550528 28338303965634 30005263022436 30406385320128 31720241475936 32940250763472 33586138033344 34207183485144 34877912573088 35685271660428 36929554489152 37057782108906 37784405287512 39237651644724 40007017363248 42507455948451 43920334351296 45609577980192 47580362213904 48292494331968 49410376145208 50379207050016 51310775227716 52316868859632 53342689817664 53527907490642 55586673163359 56676607931268 60010526044872 63440482951872 65880501526944 68414366970288 69755825146176 71370543320856 74115564217812 75568810575024 78475303289448 80014034726496 80291861235963 85014911896902 91219155960384 95160724427808 98820752290416 100758414100032 102621550455432 104633737719264 107055814981284 111173346326718 113353215862536 120021052089744 127522367845353 131761003053888 136828733940576 142741086641712 148231128435624 151137621150048 156950606578896 160028069452992 160583722471926 166760019490077 170029823793804 190321448855616 197641504580832 205243100910864 209267475438528 214111629962568 222346692653436 226706431725072 240042104179488 240875583707889 255044735690706 273657467881152 285482173283424 296462256871248 302275242300096 313901213157792 321167444943852 333520038980154 340059647587608 395283009161664 410486201821728 428223259925136 444693385306872 453412863450144 480084208358976 481751167415778 510089471381412 570964346566848 592924513742496 627802426315584 642334889887704 667040077960308 680119295175216 722626751123667 820972403643456 856446519850272 889386770613744 906825726900288 963502334831556 1020178942762824 1185849027484992 1284669779775408 1334080155920616 1360238590350432 1445253502247334 1712893039700544 1778773541227488 1927004669663112 2040357885525648 2167880253371001 2569339559550816 2668160311841232 2720477180700864 2890507004494668 3557547082454976 3854009339326224 4080715771051296 4335760506742002 5138679119101632 5336320623682464 5781014008989336 7708018678652448 8161431542102592 8671521013484004 10672641247364928 11562028017978672 15416037357304896 17343042026968008 23124056035957344 34686084053936016 46248112071914688 69372168107872032 138744336215744064
- Sum of all divisors σ(n): 475141888949185767
- Sum of proper divisors (its aliquot sum) s(n): 336397552733441703
- 138744336215744064 is an abundant number, because the sum of its proper divisors (336397552733441703) is greater than itself. Its abundance is 197653216517697639
Bases of 138744336215744064
- Binary: 1111011001110101100111101000110101011110010011110010000002
- Hexadecimal: 0x1ECEB3D1ABC9E40
- Base-36: 11Y4RG529000
Squares and roots of 138744336215744064
- 138744336215744064 squared (1387443362157440642) is 19249990831947429857788509151236096
- 138744336215744064 cubed (1387443362157440643) is 2670827200137704996572520682492410735541121974534144
-
138744336215744064 is a
perfect square number . Itssquare root is 372484008 -
The
cube root of 138744336215744064 is 517692.3584536349 - Being both a perfect square and a perfect cube, 138744336215744064 is also a
perfect sixth number .
Scales and comparisons
How big is 138744336215744064?- 138,744,336,215,744,064 seconds is equal to 4,411,640,727 years, 13 weeks, 6 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,744,336,215,744,064 would take you about thirteen billion, two hundred thirty-four million, nine hundred twenty-two thousand, one 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 138744336215744064 cubic inches would be around 43141 feet tall.
Recreational maths with 138744336215744064
- 138744336215744064 backwards is 460447512633447831
- 138744336215744064 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138744336215744064's digits is 72
- More coming soon!
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The information we have on file for 138744336215744064 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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