138378729410208

Names of 138378729410208

• Cardinal: 138378729410208 can be written as One hundred thirty-eight trillion, three hundred seventy-eight billion, seven hundred twenty-nine million, four hundred ten thousand, two hundred eight.

Scientific notation

• Scientific notation: 1.38378729410208 × 10¹⁴

Factors of 138378729410208

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 27684

Divisors of 138378729410208

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 23 24 27 28 32 34 36 42 46 48 51 54 56 63 68 69 72 84 92 96 102 108 112 119 126 136 138 144 153 161 168 184 189 204 207 216 224 238 252 272 276 288 306 322 336 357 368 378 391 408 414 432 459 476 483 504 544 552 612 621 644 672 714 736 756 782 816 828 864 918 952 966 1008 1071 1104 1173 1224 1242 1288 1428 1449 1512 1564 1632 1656 1836 1904 1932 2016 2142 2208 2311 2346 2448 2484 2576 2737 2856 2898 3024 3128 3213 3312 3519 3672 3808 3864 4284 4347 4622 4692 4896 4968 5152 5474 5712 5796 6048 6256 6426 6624 6933 7038 7344 7728 8211 8568 8694 9244 9384 9936 10557 10948 11424 11592 12512 12852 13866 14076 14688 15456 16177 16422 17136 17388 18488 18768 19872 20799 21114 21896 23184 24633 25321 25704 27732 28152 32354 32844 34272 34776 36976 37536 39287 41598 42228 43792 46368 48531 49266 50642 51408 53153 55464 56304 62397 64708 65688 69552 73899 73952 75963 78574 83196 84456 87584 97062 98532 101284 102816 106306 110928 112608 117861 124794 129416 131376 139104 145593 147798 151926 157148 159459 166392 168912 177247 194124 197064 202568 212612 221856 227889 235722 249588 258832 262752 275009 291186 295596 303852 314296 318918 332784 337824 353583 354494 372071 388248 394128 405136 425224 430457 436779 455778 471444 478377 499176 517664 531741 550018 582372 582383 591192 607704 628592 637836 665568 683667 707166 708988 744142 776496 788256 810272 825027 850448 860914 873558 903601 911556 942888 956754 998352 1060749 1063482 1100036 1116213 1164744 1164766 1182384 1215408 1257184 1275672 1291371 1367334 1414332 1417976 1435131 1488284 1552992 1595223 1650054 1700896 1721828 1747116 1747149 1807202 1823112 1885776 1913508 1996704 2121498 2126964 2200072 2232426 2329488 2329532 2364768 2430816 2475081 2551344 2582742 2710803 2734668 2828664 2835952 2870262 2976568 3013199 3190446 3300108 3348639 3443656 3494232 3494298 3614404 3646224 3771552 3827016 3874113 4076681 4242996 4253928 4400144 4464852 4658976 4659064 4785669 4950162 5102688 5165484 5241447 5421606 5469336 5657328 5671904 5740524 5953136 6026398 6325207 6380892 6600216 6697278 6887312 6988464 6988596 7228808 7292448 7425243 7654032 7748226 8132409 8153362 8485992 8507856 8800288 8929704 9039597 9318128 9571338 9900324 9900511 10045917 10330968 10482894 10843212 10938672 11314656 11481048 11622339 11906272 12052796 12230043 12650414 12761784 13200432 13394556 13774624 13976928 13977192 14457616 14850486 15308064 15496452 15724341 16264818 16306724 16971984 17015712 17859408 18079194 18636256 18975621 19142676 19800648 19801022 20091834 20661936 20965788 21686424 21877344 22962096 23244678 24105592 24397227 24460086 25300828 25523568 26400864 26789112 27118791 27954384 28915232 29700972 29701533 30992904 31448682 32529636 32613448 33943968 35718816 36158388 36690129 37951242 38285352 39601296 39602044 40183668 41323872 41931576 43372848 45924192 46489356 48211184 48794454 48920172 50601656 51047136 53578224 54237582 55908768 56926863 58516831 59401944 59403066 61985808 62897364 65059272 65226896 69303577 72316776 73380258 75902484 76570704 79202592 79204088 80367336 81356373 83863152 86745696 89104599 92978712 96422368 97588908 97840344 101203312 107156448 108475164 110070387 113853726 117033662 118803888 118806132 123971616 125794728 130118544 130453792 138607154 144633552 146760516 151804968 153141408 158408176 160734672 162712746 167726304 170780589 175550493 178209198 185957424 195177816 195680688 202406624 207910731 216950328 220140774 227707452 234067324 237607776 237612264 251589456 260237088 267313797 277214308 289267104 293521032 303609936 316816352 321469344 325425492 341561178 351100986 356418396 371914848 390355632 391361376 409617817 415821462 433900656 440281548 455414904 468134648 475224528 503178912 526651479 534627594 554428616 587042064 607219872 623732193 650850984 683122356 702201972 712836792 780711264 819235634 831642924 867801312 880563096 910829808 936269296 950449056 994786127 1053302958 1069255188 1108857232 1174084128 1228853451 1247464386 1301701968 1345887113 1366244712 1404403944 1425673584 1579954437 1638471268 1663285848 1761126192 1821659616 1871196579 1872538592 1989572254 2106605916 2138510376 2217714464 2457706902 2494928772 2603403936 2691774226 2732489424 2808807888 2851347168 2984358381 3159908874 3276942536 3326571696 3522252384 3686560353 3742393158 3979144508 4037661339 4213211832 4277020752 4915413804 4989857544 5383548452 5464978848 5617615776 5968716762 6319817748 6553885072 6653143392 6963502889 7373120706 7484786316 7958289016 8075322678 8426423664 8554041504 8953075143 9421209791 9830827608 9979715088 10767096904 11059681059 11937433524 12112984017 12639635496 13107770144 13927005778 14746241412 14969572632 15916578032 16150645356 16852847328 17906150286 18842419582 19661655216 19959430176 20890508667 21534193808 22119362118 22880080921 23874867048 24225968034 25279270992 26859225429 27854011556 28263629373 29492482824 29939145264 31833156064 32301290712 35812300572 36338952051 37684839164 39323310432 41781017334 43068387616 44238724236 45760161842 47749734096 48451936068 50558541984 53718450858 55708023112 56527258746 58984965648 59878290528 62671526001 64602581424 68640242763 71624601144 72677904102 75369678328 83562034668 84790888119 88477448472 91520323684 95499468192 96903872136 107436901716 111416046224 113054517492 117969931296 125343052002 129205162848 137280485526 143249202288 145355808204 150739356656 160160566447 167124069336 169581776238 176954896944 183040647368 188014578003 193807744272 205920728289 214873803432 222832092448 226109034984 250686104004 254372664357 274560971052 286498404576 290711616408 301478713312 320321132894 334248138672 339163552476 353909793888 366081294736 376029156006 387615488544 411841456578 429747606864 452218069968 480481699341 501372208008 508745328714 549121942104 581423232816 617762184867 640642265788 668496277344 678327104952 732162589472 752058312012 823682913156 859495213728 904436139936 960963398682 1002744416016 1017490657428 1098243884208 1162846465632 1235524369734 1281284531576 1356654209904 1441445098023 1504116624024 1647365826312 1921926797364 2005488832032 2034981314856 2196487768416 2471048739468 2562569063152 2713308419808 2882890196046 3008233248048 3294731652624 3843853594728 4069962629712 4324335294069 4942097478936 5125138126304 5765780392092 6016466496096 6589463305248 7687707189456 8139925259424 8648670588138 9884194957872 11531560784184 15375414378912 17297341176276 19768389915744 23063121568368 34594682352552 46126243136736 69189364705104 138378729410208
• Sum of all divisors σ(n): 509870762311680
• Sum of proper divisors (its aliquot sum) s(n): 371492032901472
• 138378729410208 is an abundant number, because the sum of its proper divisors (371492032901472) is greater than itself. Its abundance is 233113303491264

Bases of 138378729410208

• Binary: 11111011101101011001111000000101100111010100000₂
• Hexadecimal: 0x7DDACF02CEA0
• Base-36: 1D1UB6NOO0

Squares and roots of 138378729410208

• 138378729410208 squared (138378729410208²) is 19148672753183564499534603264
• 138378729410208 cubed (138378729410208³) is 2649769005477411111873043117416661991718912
• The square root of 138378729410208 is 11763448.8739573311
• The cube root of 138378729410208 is 51723.7232742521

Scales and comparisons

• 138,378,729,410,208 seconds is equal to 4,400,015 years, 29 weeks, 1 day, 11 hours, 16 minutes, 48 seconds.
• To count from 1 to 138,378,729,410,208 would take you about eleven million and thirty-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 138378729410208 cubic inches would be around 4310.3 feet tall.

Recreational maths with 138378729410208

• 138378729410208 backwards is 802014927873831
• 138378729410208 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138378729410208's digits is 63
• More coming soon!