138801386575488
138,801,386,575,488 is an even composite number composed of eight prime numbers multiplied together.
138801386575488 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 138801386575488:
27 × 3 × 7 × 13 × 19 × 127 × 877 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 19 × 127 × 877 × 1877)See below for interesting mathematical facts about the number 138801386575488 from the Numbermatics database.
Names of 138801386575488
- Cardinal: 138801386575488 can be written as One hundred thirty-eight trillion, eight hundred one billion, three hundred eighty-six million, five hundred seventy-five thousand, four hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38801386575488 × 1014
Factors of 138801386575488
Divisors of 138801386575488
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 52 56 57 64 76 78 84 91 96 104 112 114 127 128 133 152 156 168 182 192 208 224 228 247 254 266 273 304 312 336 364 381 384 399 416 448 456 494 508 532 546 608 624 672 728 741 762 798 832 877 889 896 912 988 1016 1064 1092 1216 1248 1344 1456 1482 1524 1596 1651 1664 1729 1754 1778 1824 1877 1976 2032 2128 2184 2413 2432 2496 2631 2667 2688 2912 2964 3048 3192 3302 3458 3508 3556 3648 3754 3952 4064 4256 4368 4826 4953 4992 5187 5262 5334 5631 5824 5928 6096 6139 6384 6604 6916 7016 7112 7239 7296 7508 7904 8128 8512 8736 9652 9906 10374 10524 10668 11262 11401 11557 11648 11856 12192 12278 12768 13139 13208 13832 14032 14224 14478 15016 15808 16256 16663 16891 17024 17472 18417 19304 19812 20748 21048 21336 22524 22802 23114 23712 24384 24401 24556 25536 26278 26416 27664 28064 28448 28956 30032 31369 31616 33326 33782 34203 34671 34944 35663 36834 38608 39417 39624 41496 42096 42672 45048 45604 46228 47424 48768 48802 49112 49989 50673 51072 52556 52832 55328 56128 56896 57912 60064 62738 66652 67564 68406 69342 71326 73203 73668 77216 78834 79248 79807 82992 84192 85344 90096 91208 92456 94107 94848 97604 98224 99978 101346 105112 105664 106989 110656 111379 112256 113792 115824 116641 120128 125476 133304 135128 136812 138684 142652 146406 147336 154432 157668 158496 159614 165984 168384 170688 170807 180192 182416 184912 188214 195208 196448 199956 202692 210224 211328 213978 216619 219583 221312 222758 231648 233282 238379 239421 240256 249641 250952 266608 270256 273624 277368 285304 292812 294672 308864 315336 316992 319228 331968 334137 336768 341376 341614 349923 360384 364832 369824 376428 390416 392896 399912 405384 420448 427956 433238 439166 445516 463296 463619 466564 476758 478842 499282 501904 512421 533216 540512 547248 554736 570608 585624 589344 630672 633984 638456 649857 658749 663936 668274 683228 699846 715137 720768 729664 739648 748923 752856 779653 780832 785792 799824 810768 840896 855912 866476 878332 891032 926592 927238 933128 953516 957684 998564 1003808 1024842 1066432 1081024 1094496 1109472 1141216 1171248 1178688 1261344 1276912 1299714 1317498 1336548 1366456 1390857 1399692 1430274 1447927 1459328 1479296 1497846 1505712 1516333 1559306 1561664 1599648 1621536 1646129 1668653 1681792 1711824 1732952 1756664 1782064 1854476 1866256 1907032 1915368 1997128 2007616 2049684 2116201 2132864 2162048 2188992 2218944 2282432 2338959 2342496 2357376 2522688 2553824 2599428 2634996 2673096 2732912 2781714 2799384 2860548 2895854 2995692 3011424 3032666 3098927 3118612 3123328 3199296 3243072 3245333 3292258 3337306 3423648 3465904 3513328 3564128 3708952 3732512 3814064 3830736 3994256 4015232 4099368 4232402 4343781 4377984 4437888 4529201 4548999 4564864 4677918 4684992 4938387 5005959 5045376 5107648 5198856 5269992 5346192 5465824 5563428 5598768 5721096 5791708 5991384 6022848 6065332 6197854 6237224 6348603 6398592 6486144 6490666 6584516 6674612 6847296 6931808 7026656 7128256 7417904 7465024 7628128 7661472 7988512 8198736 8464804 8687562 9058402 9097998 9296781 9355836 9369984 9735999 9876774 10011918 10135489 10215296 10397712 10539984 10692384 10931648 11126856 11197536 11442192 11522903 11583416 11982768 12045696 12130664 12395708 12474448 12697206 12981332 13169032 13349224 13587603 13694592 13863616 14053312 14256512 14813407 14835808 14930048 15256256 15322944 15977024 16397472 16929608 17375124 18116804 18195996 18593562 18711672 19471998 19753548 20023836 20270978 20795424 21079968 21384768 21399677 21692489 21863296 22253712 22395072 22884384 23045806 23166832 23965536 24261328 24791416 24948896 25394412 25962664 26338064 26698448 27175206 27510613 27727232 28106624 29626814 29671616 30406467 30512512 30645888 31276451 31704407 31954048 32794944 33859216 34568709 34750248 36233608 36391992 37187124 37423344 38943996 39507096 40047672 40541956 41590848 42159936 42769536 42799354 43384978 44440221 44507424 44790144 45768768 46091612 46333664 47931072 48522656 49582832 49897792 50788824 51925328 52676128 53396896 54350412 55021226 58879613 59253628 59343232 60812934 62552902 63408814 64199031 65077467 65589888 67718432 69137418 69500496 72467216 72783984 74374248 74846688 77887992 79014192 80095344 81083912 82531839 83181696 84319872 85598708 86769956 88880442 89014848 91537536 92183224 92667328 93829353 95113221 95862144 97045312 99165664 99795584 101577648 103850656 105352256 106793792 108700824 110042452 117759226 118507256 121625868 125105804 126817628 128398062 130154934 135436864 138274836 139000992 144934432 145567968 148748496 149693376 149797739 155775984 158028384 160190688 162167824 165063678 171197416 173539912 176638839 177760884 178029696 184366448 185334656 187658706 190226442 192574291 194090624 198331328 203155296 207701312 209058383 210704512 213587584 217401648 218935157 220084904 235518452 237014512 243251736 250211608 253635256 256796124 260309868 270873728 276549672 278001984 289868864 291135936 297496992 299386752 299595478 311551968 316056768 320381376 324335648 330127356 342394832 347079824 353277678 355521768 368732896 375317412 380452884 385148582 396662656 406310592 406593863 412157291 415402624 418116766 434803296 437870314 440169808 449393217 471036904 474029024 486503472 500423216 507270512 513592248 520619736 553099344 556003968 577722873 579737728 582271872 594993984 599190956 623103936 627175149 632113536 640762752 648671296 656805471 660254712 684789664 694159648 706555356 711043536 737465792 750634824 760905768 770297164 812621184 813187726 824314582 836233532 869606592 875740628 880339616 898786434 942073808 948058048 973006944 1000846432 1014541024 1027184496 1041239472 1106198688 1155445746 1189987968 1198381912 1219781589 1236471873 1246207872 1254350298 1297342592 1313610942 1320509424 1369579328 1388319296 1413110712 1422087072 1463408681 1474931584 1501269648 1521811536 1540594328 1626375452 1648629164 1672467064 1739213184 1751481256 1760679232 1797572868 1884147616 1896116096 1946013888 2001692864 2029082048 2054368992 2082478944 2212397376 2310891492 2396763824 2439563178 2472943746 2508700596 2627221884 2641018848 2717758979 2739158656 2776638592 2826221424 2844174144 2846157041 2926817362 3002539296 3043623072 3081188656 3252750904 3297258328 3344934128 3502962512 3521358464 3595145736 3768295232 3892027776 3972109277 4003385728 4058164096 4108737984 4164957888 4390226043 4424794752 4621782984 4793527648 4879126356 4945887492 5017401192 5254443768 5282037696 5435517958 5652442848 5688348288 5692314082 5853634724 6005078592 6087246144 6162377312 6505501808 6594516656 6689868256 7005925024 7190291472 7536590464 7944218554 8153276937 8217475968 8329915776 8538471123 8780452086 9243565968 9587055296 9758252712 9891774984 10034802384 10508887536 10564075392 10871035916 11304885696 11384628164 11707269448 11916327831 12010157184 12174492288 12324754624 13011003616 13189033312 13379736512 14011850048 14380582944 15888437108 16306553874 17076942246 17560904172 18487131936 19024312853 19174110592 19516505424 19783549968 20069604768 21017775072 21742071832 22609771392 22769256328 23414538896 23832655662 24649509248 26022007232 26378066624 26759473024 27804764939 28023700096 28761165888 31776874216 32613107748 34153884492 35121808344 36974263872 38048625706 39033010848 39567099936 40139209536 42035550144 43484143664 45538512656 46829077792 47665311324 51637420601 52044014464 52756133248 55609529878 57072938559 57522331776 63553748432 65226215496 68307768984 70243616688 73948527744 76097251412 78066021696 79134199872 80278419072 83414294817 84071100288 86968287328 91077025312 93658155584 95330622648 103274841202 111219059756 114145877118 127107496864 130452430992 136615537968 140487233376 152194502824 154912261803 156132043392 158268399744 166828589634 173936574656 182154050624 187316311168 190661245296 206549682404 222438119512 228291754236 254214993728 260904861984 273231075936 280974466752 304389005648 309824523606 333657179268 347873149312 361461944207 364308101248 381322490592 413099364808 444876239024 456583508472 508429987456 521809723968 546462151872 561948933504 608778011296 619649047212 667314358536 722923888414 762644981184 826198729616 889752478048 913167016944 1043619447936 1084385832621 1092924303744 1217556022592 1239298094424 1334628717072 1445847776828 1525289962368 1652397459232 1779504956096 1826334033888 2168771665242 2435112045184 2478596188848 2669257434144 2891695553656 3304794918464 3559009912192 3652668067776 4337543330484 4957192377696 5338514868288 5783391107312 6609589836928 7305336135552 8675086660968 9914384755392 10677029736576 11566782214624 17350173321936 19828769510784 23133564429248 34700346643872 46267128858496 69400693287744 138801386575488
- Sum of all divisors σ(n): 482223380889600
- Sum of proper divisors (its aliquot sum) s(n): 343421994314112
- 138801386575488 is an abundant number, because the sum of its proper divisors (343421994314112) is greater than itself. Its abundance is 204620607738624
Bases of 138801386575488
- Binary: 111111000111101001101110101011101010110100000002
- Hexadecimal: 0x7E3D37575680
- Base-36: 1D78H5TKLC
Squares and roots of 138801386575488
- 138801386575488 squared (1388013865754882) is 19265824915278060383922438144
- 138801386575488 cubed (1388013865754883) is 2674123211761178405523666945109223666614272
-
The
square root of 138801386575488 is 11781400.0261211741 -
The
cube root of 138801386575488 is 51776.3305465261
Scales and comparisons
How big is 138801386575488?- 138,801,386,575,488 seconds is equal to 4,413,454 years, 39 weeks, 19 hours, 24 minutes, 48 seconds.
-
To count from 1 to 138,801,386,575,488 would take you about eleven million, thirty-three thousand, six hundred thirty-six 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 138801386575488 cubic inches would be around 4314.7 feet tall.
Recreational maths with 138801386575488
- 138801386575488 backwards is 884575683108831
- The number of decimal digits it has is: 15
- The sum of 138801386575488's digits is 75
- More coming soon!
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The information we have on file for 138801386575488 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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