138503420648208
138,503,420,648,208 is an even composite number composed of five prime numbers multiplied together.
What does the number 138503420648208 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 840 divisors.
138503420648208 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 138503420648208:
24 × 33 × 72 × 11 × 296
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 29 × 29 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 138503420648208 from the Numbermatics database.
Names of 138503420648208
- Cardinal: 138503420648208 can be written as One hundred thirty-eight trillion, five hundred three billion, four hundred twenty million, six hundred forty-eight thousand, two hundred eight.
Scientific notation
- Scientific notation: 1.38503420648208 × 1014
Factors of 138503420648208
Divisors of 138503420648208
- Number of divisors d(n): 840
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 29 33 36 42 44 48 49 54 56 58 63 66 72 77 84 87 88 98 99 108 112 116 126 132 144 147 154 168 174 176 189 196 198 203 216 231 232 252 261 264 294 297 308 319 336 348 378 392 396 406 432 441 462 464 504 522 528 539 588 594 609 616 638 693 696 756 783 784 792 812 841 882 924 957 1008 1044 1078 1176 1188 1218 1232 1276 1323 1386 1392 1421 1512 1566 1584 1617 1624 1682 1764 1827 1848 1914 2079 2088 2156 2233 2352 2376 2436 2523 2552 2646 2772 2842 2871 3024 3132 3234 3248 3364 3528 3654 3696 3828 4158 4176 4263 4312 4466 4752 4851 4872 5046 5104 5292 5481 5544 5684 5742 5887 6264 6468 6699 6728 7056 7308 7569 7656 8316 8526 8613 8624 8932 9251 9702 9744 10092 10584 10962 11088 11368 11484 11774 12528 12789 12936 13398 13456 14553 14616 15138 15312 15631 16632 17052 17226 17661 17864 18502 19404 20097 20184 21168 21924 22707 22736 22968 23548 24389 25578 25872 26796 27753 29106 29232 30276 31262 33264 34104 34452 35322 35728 37004 38367 38808 40194 40368 41209 43848 45414 45936 46893 47096 48778 51156 52983 53592 55506 58212 60291 60552 62524 64757 68208 68904 70644 73167 74008 76734 77616 80388 82418 83259 87696 90828 93786 94192 97556 102312 105966 107184 111012 116424 120582 121104 123627 125048 129514 137808 140679 141288 146334 148016 153468 158949 160776 164836 166518 170723 181656 187572 194271 195112 204624 211932 219501 222024 232848 241164 247254 249777 250096 259028 268279 281358 282576 292668 306936 317898 321552 329672 333036 341446 363312 370881 375144 388542 390224 422037 423864 439002 444048 453299 482328 494508 499554 512169 518056 536558 562716 582813 585336 613872 635796 658503 659344 666072 682892 707281 741762 750288 777084 804837 844074 847728 878004 906598 964656 989016 999108 1024338 1036112 1073116 1112643 1125432 1165626 1170672 1195061 1271592 1317006 1332144 1359897 1365784 1414562 1483524 1536507 1554168 1609674 1688148 1748439 1756008 1813196 1877953 1978032 1998216 2048676 2121843 2146232 2225286 2250864 2331252 2390122 2414511 2543184 2634012 2719794 2731568 2829124 2967048 3073014 3108336 3219348 3376296 3496878 3512016 3585183 3626392 3755906 3996432 4079691 4097352 4243686 4292464 4450572 4609521 4662504 4780244 4829022 4950967 5268024 5439588 5633859 5658248 5934096 6146028 6365529 6438696 6752592 6993756 7170366 7243533 7252784 7511812 7780091 8159382 8194704 8487372 8901144 9219042 9325008 9560488 9658044 9901934 10536048 10755549 10879176 11267718 11316496 12239073 12292056 12731058 12877392 13145671 13987512 14340732 14487066 14852901 15023624 15560182 16318764 16901577 16974744 17802288 18438084 19096587 19120976 19316088 19803868 20511149 21511098 21758352 22535436 23340273 24478146 24584112 25462116 26291342 27975024 28681464 28974132 29705802 30047248 31120364 32266647 32637528 33803154 33949488 34656769 36876168 38193174 38632176 39437013 39607736 41022298 43022196 44558703 45070872 46680546 48956292 50704731 50924232 52582684 54460637 57362928 57948264 59411604 61533447 62240728 64533294 65275056 67606308 69313538 70020819 73752336 76386348 78874026 79215472 82044596 86044392 89117406 90141744 93361092 97912584 101409462 101848464 103970307 105165368 108921274 115896528 118311039 118823208 123066894 124481456 129066588 133676109 135212616 138627076 140041638 143578043 152772696 157748052 163381911 164089192 172088784 178234812 184600341 186722184 195825168 202818924 207940614 210062457 210330736 217842548 225622639 236622078 237646416 246133788 258133176 267352218 270425232 277254152 280083276 287156086 305545392 311910921 315496104 326763822 328178384 354933117 356469624 369200682 373444368 381224459 405637848 415881228 420124914 430734129 435685096 451245278 473244156 490145733 492267576 516266352 534704436 553801023 554508304 560166552 574312172 594823321 623821842 630992208 653527644 676867917 709866234 712939248 738401364 762448918 811275696 831762456 840249828 861468258 871370192 902490556 935732763 946488312 980291466 984535152 1005046301 1069408872 1107602046 1120333104 1143673377 1148624344 1189646642 1247643684 1292202387 1307055288 1353735834 1419732468 1470437199 1476802728 1524897836 1579358473 1663524912 1680499656 1722936516 1784469963 1804981112 1871465526 1892976624 1960582932 2010092602 2030603751 2138817744 2215204092 2287346754 2297248688 2379293284 2495287368 2584404774 2614110576 2707471668 2839464936 2940874398 2953605456 3015138903 3049795672 3158716946 3360999312 3431020131 3445873032 3568939926 3609962224 3742931052 3876607161 3921165864 4020185204 4061207502 4163763247 4430408184 4574693508 4738075419 4758586568 4990574736 5168809548 5353409889 5414943336 5678929872 5881748796 6030277806 6091811253 6099591344 6317433892 6543056531 6862040262 6891746064 7137879852 7485862104 7753214322 7842331728 8040370408 8122415004 8327526494 8860816368 9045416709 9149387016 9476150838 9517173136 10293060393 10337619096 10706819778 10829886672 11055509311 11763497592 12060555612 12183622506 12491289741 12634867784 13086113062 13724080524 14214226257 14275759704 14971724208 15506428644 16060229667 16080740816 16244830008 16655052988 18090833418 18298774032 18952301676 19629169593 20586120786 20675238192 21413639556 22111018622 23526995184 24121111224 24367245012 24982579482 25269735568 26172226124 27136250127 27448161048 28428452514 28551519408 29146342729 31012857288 32120459334 32489660016 33166527933 33310105976 36181666836 37473869223 37904603352 39258339186 41172241572 42642678771 42827279112 44222037244 45801395717 48242222448 48734490024 49965158964 52344452248 54272500254 54896322096 56856905028 58292685458 58887508779 62025714576 64240918668 66333055866 66620211952 72363333672 74947738446 75809206704 78516678372 82344483144 85285357542 85654558224 87439028187 88444074488 91602791434 97468980048 99499583799 99930317928 104688904496 108545000508 112421607669 113713810056 116585370916 117775017558 128481837336 132666111732 137404187151 144726667344 149895476892 157033356744 164688966288 170570715084 174878056374 176662526337 176888148976 183205582868 198999167598 199860635856 217090001016 224843215338 227427620112 233170741832 235550035116 256963674672 262317084561 265332223464 274808374302 298498751397 299790953784 314066713488 320609770019 341141430168 349756112748 353325052674 366411165736 397998335196 412212561453 434180002032 449686430676 466341483664 471100070232 524634169122 530664446928 549616748604 596997502794 599581907568 641219540038 682282860336 699512225496 706650105348 732822331472 786951253683 795996670392 824425122906 899372861352 942200140464 961829310057 1049268338244 1099233497208 1193995005588 1236637684359 1282439080076 1399024450992 1413300210696 1573902507366 1591993340784 1648850245812 1798745722704 1923658620114 2098536676488 2198466994416 2387990011176 2473275368718 2564878160152 2826600421392 2885487930171 3147805014732 3297700491624 3847317240228 4197073352976 4775980022352 4946550737436 5129756320304 5770975860342 6295610029464 6595400983248 7694634480456 8656463790513 9893101474872 11541951720684 12591220058928 15389268960912 17312927581026 19786202949744 23083903441368 34625855162052 46167806882736 69251710324104 138503420648208
- Sum of all divisors σ(n): 522523396049760
- Sum of proper divisors (its aliquot sum) s(n): 384019975401552
- 138503420648208 is an abundant number, because the sum of its proper divisors (384019975401552) is greater than itself. Its abundance is 245516554753344
Bases of 138503420648208
- Binary: 111110111110111110101110011000000011011000100002
- Hexadecimal: 0x7DF7D7301B10
- Base-36: 1D3FLCLNO0
Squares and roots of 138503420648208
- 138503420648208 squared (1385034206482082) is 19183197531254450162893611264
- 138503420648208 cubed (1385034206482083) is 2656938477049000343119706887403464850214912
-
The
square root of 138503420648208 is 11768747.6244589425 -
The
cube root of 138503420648208 is 51739.2544639103 - Being both a perfect square and a perfect cube, 138503420648208 is also a
perfect sixth number .
Scales and comparisons
How big is 138503420648208?- 138,503,420,648,208 seconds is equal to 4,403,980 years, 18 weeks, 4 days, 2 hours, 16 minutes, 48 seconds.
-
To count from 1 to 138,503,420,648,208 would take you about eleven million, nine thousand, nine hundred fifty 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 138503420648208 cubic inches would be around 4311.6 feet tall.
Recreational maths with 138503420648208
- 138503420648208 backwards is 802846024305831
- 138503420648208 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138503420648208's digits is 54
- More coming soon!
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The information we have on file for 138503420648208 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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