138363371268096
138,363,371,268,096 is an even composite number composed of six prime numbers multiplied together.
What does the number 138363371268096 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138363371268096 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138363371268096:
211 × 3 × 132 × 103 × 1072 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 103 × 107 × 107 × 113)See below for interesting mathematical facts about the number 138363371268096 from the Numbermatics database.
Names of 138363371268096
- Cardinal: 138363371268096 can be written as One hundred thirty-eight trillion, three hundred sixty-three billion, three hundred seventy-one million, two hundred sixty-eight thousand and ninety-six.
Scientific notation
- Scientific notation: 1.38363371268096 × 1014
Factors of 138363371268096
Divisors of 138363371268096
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 107 113 128 156 169 192 206 208 214 226 256 309 312 321 338 339 384 412 416 428 452 507 512 618 624 642 676 678 768 824 832 856 904 1014 1024 1236 1248 1284 1339 1352 1356 1391 1469 1536 1648 1664 1712 1808 2028 2048 2472 2496 2568 2678 2704 2712 2782 2938 3072 3296 3328 3424 3616 4017 4056 4173 4407 4944 4992 5136 5356 5408 5424 5564 5876 6144 6592 6656 6848 7232 8034 8112 8346 8814 9888 9984 10272 10712 10816 10848 11021 11128 11449 11639 11752 12091 13184 13312 13696 14464 16068 16224 16692 17407 17628 18083 19097 19776 19968 20544 21424 21632 21696 22042 22256 22898 23278 23504 24182 26368 26624 27392 28928 32136 32448 33063 33384 34347 34814 34917 35256 36166 36273 38194 39552 39936 41088 42848 43264 43392 44084 44512 45796 46556 47008 48364 52221 52736 54249 54784 57291 57856 64272 64896 66126 66768 68694 69628 69834 70512 72332 72546 76388 79104 79872 82176 85696 86528 86784 88168 89024 91592 93112 94016 96728 104442 105472 108498 109568 114582 115712 128544 129792 132252 133536 137388 139256 139668 141024 143273 144664 145092 148837 151307 152776 157183 158208 164352 171392 173056 173568 176336 178048 183184 186224 188032 193456 208884 210944 216996 219136 229164 231424 257088 259584 264504 267072 274776 278512 279336 282048 286546 289328 290184 297674 302614 305552 314366 316416 328704 342784 346112 347136 352672 356096 366368 372448 376064 386912 417768 429819 433992 446511 453921 458328 471549 514176 519168 529008 534144 549552 557024 558672 564096 573092 578656 580368 595348 605228 611104 628732 632832 657408 685568 694272 705344 712192 732736 744896 752128 773824 835536 859638 867984 893022 907842 916656 943098 1028352 1038336 1058016 1068288 1099104 1114048 1117344 1128192 1146184 1157312 1160736 1179247 1190696 1210456 1222208 1245373 1257464 1293737 1371136 1410688 1424384 1465472 1489792 1504256 1547648 1671072 1719276 1735968 1786044 1815684 1833312 1862549 1886196 1934881 1966991 2043379 2056704 2116032 2136576 2198208 2228096 2234688 2256384 2292368 2314624 2321472 2358494 2381392 2420912 2444416 2490746 2514928 2587474 2742272 2821376 2848768 2930944 2979584 3008512 3095296 3342144 3438552 3471936 3537741 3572088 3631368 3666624 3725098 3736119 3772392 3869762 3881211 3933982 4086758 4113408 4232064 4273152 4396416 4456192 4469376 4512768 4584736 4629248 4642944 4716988 4762784 4841824 4888832 4981492 5029856 5174948 5587647 5642752 5804643 5861888 5900973 5959168 6130137 6190592 6684288 6877104 6943872 7075482 7144176 7262736 7333248 7450196 7472238 7544784 7739524 7762422 7867964 8173516 8226816 8464128 8546304 8792832 8912384 8938752 9025536 9169472 9258496 9285888 9433976 9525568 9683648 9777664 9962984 10059712 10349896 11175294 11285504 11609286 11723776 11801946 11918336 12260274 12381184 13368576 13754208 13887744 14150964 14288352 14525472 14666496 14900392 14944476 15089568 15330211 15479048 15524844 15735928 16189849 16347032 16818581 16928256 17585664 17824768 17877504 18338944 18516992 18571776 18867952 19051136 19367296 19555328 19925968 20119424 20699792 22350588 22571008 23218572 23447552 23603892 23836672 24520548 24762368 26737152 27508416 27775488 28301928 28576704 29050944 29332992 29800784 29888952 30179136 30660422 30958096 31049688 31471856 32379698 32694064 33637162 33856512 35171328 35649536 35755008 36677888 37033984 37143552 37735904 38102272 38734592 39110656 39851936 40238848 41399584 44701176 45990633 46437144 47207784 48569547 49041096 50455743 53474304 55016832 55550976 56603856 57153408 58101888 58665984 59601568 59777904 60358272 61320844 61916192 62099376 62943712 64759396 65388128 67274324 67713024 70342656 71510016 73355776 74287104 75471808 76204544 77469184 79703872 80477696 82799168 89402352 91981266 92874288 94415568 97139094 98082192 100911486 106948608 110033664 111101952 113207712 114306816 116203776 117331968 119203136 119555808 120716544 122641688 123832384 124198752 125887424 129518792 130776256 133254911 134548648 146711552 150943616 152409088 154938368 159407744 160955392 165598336 178804704 183962532 185748576 188831136 194278188 196164384 199292743 201822972 210468037 218641553 220067328 226415424 228613632 232407552 238406272 239111616 241433088 245283376 247664768 248397504 251774848 259037584 261552512 266509822 269097296 293423104 301887232 304818176 309876736 318815488 321910784 331196672 357609408 367925064 371497152 377662272 388556376 392328768 398585486 399764733 403645944 420936074 437283106 440134656 452830848 457227264 464815104 476812544 478223232 482866176 490566752 495329536 496795008 503549696 518075168 523105024 533019644 538194592 597878229 603774464 631404111 637630976 655924659 662393344 715218816 735850128 742994304 755324544 777112752 784657536 797170972 799529466 807291888 841872148 874566212 880269312 905661696 914454528 929630208 953625088 956446464 965732352 981133504 990659072 993590016 1007099392 1036150336 1046210048 1066039288 1076389184 1195756458 1207548928 1262808222 1275261952 1311849318 1324786688 1430437632 1471700256 1485988608 1510649088 1554225504 1569315072 1594341944 1599058932 1614583776 1683744296 1732313843 1749132424 1811323392 1907250176 1912892928 1962267008 1981318144 1987180032 2014198784 2072300672 2092420096 2132078576 2152778368 2391512916 2415097856 2525616444 2550523904 2623698636 2649573376 2860875264 2943400512 2971977216 3021298176 3108451008 3138630144 3188683888 3198117864 3229167552 3367488592 3464627686 3498264848 3622646784 3814500352 3825785856 3924534016 3962636288 3974360064 4028397568 4144601344 4184840192 4264157152 4305556736 4783025832 5051232888 5196941529 5247397272 5721750528 5886801024 5943954432 6042596352 6216902016 6277260288 6377367776 6396235728 6458335104 6734977184 6929255372 6996529696 7245293568 7651571712 7849068032 7948720128 8289202688 8528314304 8611113472 9566051664 10102465776 10393883058 10494794544 11443501056 11773602048 11887908864 12085192704 12433804032 12554520576 12754735552 12792471456 12916670208 13469954368 13858510744 13993059392 15698136064 16578405376 17056628608 17222226944 19132103328 20204931552 20787766116 20989589088 22520079959 23547204096 24867608064 25509471104 25584942912 25833340416 26939908736 27717021488 27986118784 31396272128 33156810752 34113257216 34444453888 38264206656 40409863104 41575532232 41979178176 45040159918 47094408192 49735216128 51018942208 51169885824 51666680832 53879817472 55434042976 55972237568 67560239877 68226514432 76528413312 80819726208 83151064464 83958356352 90080319836 94188816384 99470432256 102037884416 102339771648 103333361664 107759634944 110868085952 111944475136 135120479754 136453028864 153056826624 161639452416 166302128928 167916712704 180160639672 204075768832 204679543296 215519269888 221736171904 223888950272 270240959508 272906057728 306113653248 323278904832 332604257856 335833425408 360321279344 408151537664 409359086592 431038539776 443472343808 447777900544 540481919016 612227306496 646557809664 665208515712 671666850816 720642558688 818718173184 886944687616 1080963838032 1224454612992 1293115619328 1330417031424 1343333701632 1441285117376 1773889375232 2161927676064 2660834062848 2882570234752 3547778750464 4323855352128 5321668125696 5765140469504 8647710704256 10643336251392 11530280939008 17295421408512 23060561878016 34590842817024 46121123756032 69181685634048 138363371268096
- Sum of all divisors σ(n): 410722307311680
- Sum of proper divisors (its aliquot sum) s(n): 272358936043584
- 138363371268096 is an abundant number, because the sum of its proper divisors (272358936043584) is greater than itself. Its abundance is 133995564775488
Bases of 138363371268096
- Binary: 111110111010111001110111001100000101000000000002
- Hexadecimal: 0x7DD73B982800
- Base-36: 1D1N96TEDC
Squares and roots of 138363371268096
- 138363371268096 squared (1383633712680962) is 19144422508672973695107465216
- 138363371268096 cubed (1383633712680963) is 2648886839280812473934584650314534130548736
-
The
square root of 138363371268096 is 11762796.0650559611 -
The
cube root of 138363371268096 is 51721.8096620319
Scales and comparisons
How big is 138363371268096?- 138,363,371,268,096 seconds is equal to 4,399,527 years, 11 weeks, 3 days, 4 hours, 41 minutes, 36 seconds.
-
To count from 1 to 138,363,371,268,096 would take you about ten million, nine hundred ninety-eight thousand, eight hundred eighteen 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 138363371268096 cubic inches would be around 4310.2 feet tall.
Recreational maths with 138363371268096
- 138363371268096 backwards is 690862173363831
- The number of decimal digits it has is: 15
- The sum of 138363371268096's digits is 66
- More coming soon!
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The information we have on file for 138363371268096 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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