138708938916864
138,708,938,916,864 is an even composite number composed of five prime numbers multiplied together.
138708938916864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 138708938916864:
210 × 33 × 23 × 312 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 23 × 31 × 31 × 61 × 61 × 61)See below for interesting mathematical facts about the number 138708938916864 from the Numbermatics database.
Names of 138708938916864
- Cardinal: 138708938916864 can be written as One hundred thirty-eight trillion, seven hundred eight billion, nine hundred thirty-eight million, nine hundred sixteen thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.38708938916864 × 1014
Factors of 138708938916864
Divisors of 138708938916864
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 31 32 36 46 48 54 61 62 64 69 72 92 93 96 108 122 124 128 138 144 183 184 186 192 207 216 244 248 256 276 279 288 366 368 372 384 414 432 488 496 512 549 552 558 576 621 713 732 736 744 768 828 837 864 961 976 992 1024 1098 1104 1116 1152 1242 1403 1426 1464 1472 1488 1536 1647 1656 1674 1728 1891 1922 1952 1984 2139 2196 2208 2232 2304 2484 2806 2852 2883 2928 2944 2976 3072 3294 3312 3348 3456 3721 3782 3844 3904 3968 4209 4278 4392 4416 4464 4608 4968 5612 5673 5704 5766 5856 5888 5952 6417 6588 6624 6696 6912 7442 7564 7688 7808 7936 8418 8556 8649 8784 8832 8928 9216 9936 11163 11224 11346 11408 11532 11712 11776 11904 12627 12834 13176 13248 13392 13824 14884 15128 15376 15616 15872 16836 17019 17112 17298 17568 17664 17856 19251 19872 22103 22326 22448 22692 22816 23064 23424 23552 23808 25254 25668 25947 26352 26496 26784 27648 29768 30256 30752 31232 31744 33489 33672 34038 34224 34596 35136 35328 35712 37881 38502 39744 43493 44206 44652 44896 45384 45632 46128 46848 47616 50508 51057 51336 51894 52704 52992 53568 58621 59536 60512 61504 62464 66309 66978 67344 68076 68448 69192 70272 70656 71424 75762 77004 79488 85583 86986 88412 89304 89792 90768 91264 92256 93696 95232 100467 101016 102114 102672 103788 105408 105984 107136 115351 117242 119072 121024 123008 130479 132618 133956 134688 136152 136896 138384 140544 142848 151524 154008 158976 171166 173972 175863 176824 178608 179584 181536 182528 184512 187392 198927 200934 202032 204228 205344 207576 210816 211968 214272 226981 230702 234484 238144 242048 246016 256749 260958 265236 267912 269376 272304 273792 276768 281088 285696 303048 308016 317952 342332 346053 347944 351726 353648 357216 359168 363072 365056 369024 391437 397854 401868 404064 408456 410688 415152 421632 428544 453962 461404 468968 476288 484096 492032 513498 521916 527589 530472 535824 538752 544608 547584 553536 562176 596781 606096 616032 635904 680943 684664 692106 695888 703452 707296 714432 718336 726144 730112 738048 770247 782874 795708 803736 808128 816912 821376 830304 843264 857088 907924 922808 937936 952576 968192 984064 1026996 1038159 1043832 1055178 1060944 1071648 1077504 1089216 1095168 1107072 1174311 1193562 1212192 1232064 1348283 1361886 1369328 1384212 1391776 1406904 1414592 1428864 1436672 1452288 1476096 1540494 1565748 1582767 1591416 1607472 1616256 1633824 1642752 1660608 1686528 1815848 1845616 1875872 1905152 1936384 2042829 2053992 2076318 2087664 2110356 2121888 2143296 2155008 2178432 2190336 2214144 2310741 2348622 2387124 2424384 2464128 2653073 2696566 2723772 2738656 2768424 2783552 2813808 2829184 2857728 2904576 2952192 3080988 3114477 3131496 3165534 3182832 3214944 3232512 3267648 3285504 3321216 3575881 3631696 3691232 3751744 3810304 4044849 4085658 4107984 4152636 4175328 4220712 4243776 4286592 4310016 4356864 4428288 4621482 4697244 4774248 4848768 4928256 5220563 5306146 5393132 5447544 5477312 5536848 5567104 5627616 5658368 5715456 5809152 6128487 6161976 6228954 6262992 6331068 6365664 6429888 6465024 6535296 6571008 6642432 7036411 7151762 7263392 7382464 7503488 7959219 8089698 8171316 8215968 8305272 8350656 8441424 8487552 8573184 8713728 8856576 9242964 9394488 9548496 9697536 9856512 10441126 10612292 10727643 10786264 10895088 10954624 11073696 11134208 11255232 11316736 11430912 12134547 12256974 12323952 12457908 12525984 12662136 12731328 12859776 12930048 13070592 13284864 14072822 14303524 14526784 14764928 15006976 15661689 15918438 16179396 16342632 16431936 16610544 16701312 16882848 16975104 17146368 17427456 18485928 18788976 19096992 19395072 19713024 20882252 21109233 21224584 21455286 21572528 21790176 21909248 22147392 22268416 22510464 22633472 23877657 24269094 24513948 24647904 24915816 25051968 25324272 25462656 25719552 26141184 26569728 28145644 28607048 29053568 29529856 30013952 31323378 31836876 32182929 32358792 32685264 32863872 33221088 33402624 33765696 33950208 34292736 36403641 36971856 37577952 38193984 38790144 41764504 42218466 42449168 42910572 43145056 43580352 43818496 44294784 44536832 45020928 46985067 47755314 48538188 49027896 49295808 49831632 50103936 50648544 50925312 51439104 52282368 56291288 57214096 58107136 59059712 60027904 62646756 63327699 63673752 64365858 64717584 65370528 65727744 66442176 66805248 67531392 67900416 71632971 72807282 73943712 75155904 76387968 82245263 83529008 84436932 84898336 85821144 86290112 87160704 87636992 88589568 90041856 93970134 95510628 96548787 97076376 98055792 98591616 99663264 100207872 101297088 101850624 102878208 112582576 114428192 116214272 118119424 125293512 126655398 127347504 128731716 129435168 130741056 131455488 132884352 133610496 135062784 140955201 143265942 145614564 147887424 150311808 152775936 161837453 164490526 167058016 168873864 169796672 171642288 172580224 174321408 177179136 180083712 187940268 189983097 191021256 193097574 194152752 196111584 197183232 199326528 200415744 202594176 203701248 218128741 225165152 228856384 232428544 246735789 250587024 253310796 254695008 257463432 258870336 261482112 262910976 265768704 270125568 281910402 286531884 291229128 295774848 300623616 305551872 323674906 328981052 334116032 337747728 339593344 343284576 345160448 348642816 354358272 375880536 379966194 382042512 386195148 388305504 392223168 394366464 398653056 400831488 405188352 436257482 450330304 457712768 485512359 493471578 501174048 506621592 509390016 514926864 517740672 522964224 531537408 540251136 563820804 573063768 582458256 591549696 601247232 611103744 647349812 654386223 657962104 668232064 675495456 679186688 686569152 690320896 697285632 740207367 751761072 759932388 764085024 772390296 776611008 784446336 788732928 797306112 810376704 872514964 900660608 915425536 971024718 986943156 1002348096 1013243184 1018780032 1029853728 1035481344 1045928448 1063074816 1127641608 1146127536 1164916512 1183099392 1202494464 1294699624 1308772446 1315924208 1336464128 1350990912 1358373376 1373138304 1380641792 1456537077 1480414734 1503522144 1519864776 1528170048 1544780592 1553222016 1568892672 1594612224 1620753408 1745029928 1801321216 1830851072 1942049436 1963158669 1973886312 2004696192 2026486368 2037560064 2059707456 2070962688 2091856896 2220622101 2255283216 2292255072 2329833024 2366198784 2589399248 2617544892 2631848416 2672928256 2701981824 2716746752 2746276608 2913074154 2960829468 3007044288 3039729552 3056340096 3089561184 3106444032 3137785344 3189224448 3490059856 3602642432 3661702144 3884098872 3926317338 3947772624 4009392384 4052972736 4075120128 4119414912 4141925376 4369611231 4441244202 4510566432 4584510144 4659666048 5016961043 5178798496 5235089784 5263696832 5345856512 5403963648 5492553216 5826148308 5889476007 5921658936 6014088576 6079459104 6112680192 6179122368 6212888064 6275570688 6980119712 7205284864 7768197744 7852634676 7895545248 8018784768 8105945472 8150240256 8238829824 8739222462 8882488404 9021132864 9169020288 9319332096 10033922086 10357596992 10470179568 10527393664 10807927296 10985106432 11652296616 11778952014 11843317872 12028177152 12158918208 12225360384 12358244736 12425776128 13960239424 15050883129 15536395488 15705269352 15791090496 16037569536 16211890944 16477659648 17478444924 17764976808 18042265728 18338040576 18638664192 20067844172 20715193984 20940359136 21054787328 21615854592 23304593232 23557904028 23686635744 24056354304 24317836416 24450720768 24716489472 27920478848 30101766258 31072790976 31410538704 31582180992 32423781888 32955319296 34956889848 35529953616 36084531456 36676081152 37277328384 40135688344 41430387968 41880718272 42109574656 45152649387 46609186464 47115808056 47373271488 48112708608 48635672832 49432978944 55840957696 60203532516 62145581952 62821077408 63164361984 64847563776 69913779696 71059907232 72169062912 73352162304 80271376688 82860775936 83761436544 84219149312 90305298774 93218372928 94231616112 94746542976 97271345664 98865957888 111681915392 120407065032 124291163904 125642154816 126328723968 135457948161 139827559392 142119814464 144338125824 160542753376 165721551872 167522873088 180610597548 186436745856 188463232224 189493085952 194542691328 223363830784 240814130064 248582327808 251284309632 252657447936 270915896322 279655118784 284239628928 321085506752 335045746176 361221195096 372873491712 376926464448 378986171904 481628260128 497164655616 502568619264 541831792644 559310237568 568479257856 642171013504 670091492352 722442390192 745746983424 753852928896 757972343808 963256520256 1005137238528 1083663585288 1118620475136 1136958515712 1284342027008 1444884780384 1491493966848 1507705857792 1926513040512 2010274477056 2167327170576 2237240950272 2273917031424 2568684054016 2889769560768 3015411715584 3853026081024 4334654341152 4474481900544 5137368108032 5779539121536 6030823431168 7706052162048 8669308682304 11559078243072 15412104324096 17338617364608 23118156486144 34677234729216 46236312972288 69354469458432 138708938916864
- Sum of all divisors σ(n): 450304599018240
- Sum of proper divisors (its aliquot sum) s(n): 311595660101376
- 138708938916864 is an abundant number, because the sum of its proper divisors (311595660101376) is greater than itself. Its abundance is 172886721184512
Bases of 138708938916864
- Binary: 111111000100111101100010000100000000100000000002
- Hexadecimal: 0x7E27B1080400
- Base-36: 1D6208VEO0
Squares and roots of 138708938916864
- 138708938916864 squared (1387089389168642) is 19240169735442308301503594496
- 138708938916864 cubed (1387089389168643) is 2668783528583562529086723954272596911980544
-
The
square root of 138708938916864 is 11777475.9145100357 -
The
cube root of 138708938916864 is 51764.8329101403
Scales and comparisons
How big is 138708938916864?- 138,708,938,916,864 seconds is equal to 4,410,515 years, 10 weeks, 3 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,708,938,916,864 would take you about eleven million, twenty-six thousand, two hundred eighty-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 138708938916864 cubic inches would be around 4313.7 feet tall.
Recreational maths with 138708938916864
- 138708938916864 backwards is 468619839807831
- The number of decimal digits it has is: 15
- The sum of 138708938916864's digits is 81
- More coming soon!
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The information we have on file for 138708938916864 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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