138978114609152

Names of 138978114609152

• Cardinal: 138978114609152 can be written as One hundred thirty-eight trillion, nine hundred seventy-eight billion, one hundred fourteen million, six hundred nine thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 1.38978114609152 × 10¹⁴

Factors of 138978114609152

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 614

Divisors of 138978114609152

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 4 7 8 13 14 16 19 26 28 31 32 38 49 52 56 62 64 76 91 98 103 104 112 124 128 133 152 182 196 206 208 217 224 247 248 256 266 304 364 392 403 412 416 434 439 448 494 496 512 532 589 608 637 721 728 784 806 824 832 868 878 896 931 988 992 1024 1064 1178 1216 1274 1339 1442 1456 1519 1568 1612 1648 1664 1729 1736 1756 1792 1862 1957 1976 1984 2048 2128 2356 2432 2548 2678 2821 2884 2912 3038 3073 3136 3193 3224 3296 3328 3458 3472 3512 3584 3724 3914 3952 3968 4096 4123 4256 4712 4864 5047 5096 5356 5642 5707 5768 5824 6076 6146 6272 6386 6448 6592 6656 6916 6944 7024 7168 7448 7657 7828 7904 7936 8192 8246 8341 8512 9373 9424 9728 10094 10192 10712 11284 11414 11536 11648 12103 12152 12292 12544 12772 12896 13184 13312 13609 13699 13832 13888 14048 14336 14896 15314 15656 15808 15872 16492 16682 17024 18746 18848 19456 19747 20188 20384 21424 21511 22351 22568 22828 23072 23296 24206 24304 24584 25088 25441 25544 25792 26368 26624 27218 27398 27664 27776 28096 28672 28861 29792 30628 31312 31616 31744 32984 33364 34048 37492 37696 38912 39494 39949 40376 40768 41509 42848 43022 44702 45136 45217 45656 46144 46592 48412 48608 49168 50176 50882 51088 51584 52736 53248 53599 54436 54796 55328 55552 56192 57344 57722 58387 59584 60667 61256 62624 63232 63488 65611 65968 66728 68096 74984 75392 77824 78988 79898 80752 81536 83018 85696 86044 89404 90272 90434 91312 92288 93184 95263 95893 96824 97216 98336 100352 101764 102176 103168 105472 106496 107198 108433 108872 109592 110656 111104 112384 115444 116774 119168 121334 122512 125248 126464 126976 131222 131936 133456 136192 149968 150784 155648 156457 157976 159796 161504 163072 166036 171392 172088 176917 178087 178808 180544 180868 182624 184576 186368 190526 191786 193648 194432 196672 200704 203528 204352 206336 210944 214396 216866 217744 219184 221312 222208 224768 230888 233548 238336 242668 245024 250496 252928 253952 258571 262444 263872 266912 272384 279643 290563 299936 301568 312914 315952 316519 319592 323008 326144 332072 342784 344176 353834 356174 357616 361088 361736 365248 369152 372736 375193 381052 383572 387296 388864 393344 401408 407056 408704 408709 412672 421888 424669 428792 433732 435488 438368 442624 444416 449536 461776 467096 476672 485336 490048 500992 505856 517142 524888 527744 533824 544768 559286 581126 587821 599872 603136 625828 631904 633038 639184 646016 652288 664144 666841 685568 688352 707668 712348 715232 722176 723472 730496 738304 745472 750386 759031 762104 767144 774592 777728 786688 788671 814112 817408 817418 825344 843776 849338 857584 859123 867464 870976 876736 885248 888832 899072 923552 934192 953344 970672 980096 1001984 1011712 1034284 1049776 1055488 1067648 1089536 1118572 1162252 1175642 1199744 1206272 1238419 1246609 1251656 1263808 1266076 1278368 1292032 1304576 1328288 1333682 1371136 1376704 1401727 1415336 1424696 1430464 1444352 1446944 1460992 1476608 1500772 1518062 1524208 1534288 1549184 1555456 1573376 1577342 1628224 1634816 1634836 1650688 1698676 1715168 1718246 1734928 1741952 1753472 1770496 1777664 1798144 1809997 1847104 1868384 1906688 1941344 1960192 2003968 2023424 2033941 2068568 2099552 2110976 2135296 2215633 2237144 2324504 2351284 2399488 2412544 2476838 2493218 2503312 2527616 2532152 2556736 2584064 2609152 2656576 2667364 2742272 2753408 2803454 2830672 2849392 2860928 2888704 2893888 2921984 2953216 2972683 3001544 3036124 3048416 3068576 3098368 3110912 3146752 3154684 3256448 3269632 3269672 3301376 3361423 3397352 3430336 3436492 3469856 3483904 3506944 3540992 3596288 3619994 3694208 3736768 3813376 3882688 3920384 4007936 4067882 4114747 4137136 4199104 4221952 4270592 4431266 4474288 4649008 4702568 4798976 4825088 4953676 4986436 5006624 5055232 5064304 5113472 5168128 5218304 5313152 5313217 5334728 5484544 5506816 5520697 5606908 5661344 5698784 5721856 5777408 5787776 5843968 5906432 5945366 6003088 6013861 6072248 6096832 6137152 6196736 6221824 6293504 6309368 6512896 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23781464 24012352 24055444 24288992 24387328 24548608 24786944 25174016 25237472 25339958 26051584 26157056 26157376 26632813 26891384 27178816 27442688 27491936 27758848 27871232 28055552 28803229 28959952 29553664 29894144 31061504 31363072 32543056 32917976 33097088 33592832 33775616 34164736 34675732 35450128 35794304 36444902 37192064 37620544 38391808 38644879 39248356 39629408 39891488 40052992 40441856 40514432 40907776 41345024 42097027 42505216 42505736 42677824 44054528 44165576 44674396 44855264 45290752 45590272 45774848 46302208 46751744 47059922 47562928 48024704 48110888 48577984 48774656 49097216 49573888 50474944 50679916 52103168 52314752 53265626 53782768 54357632 54885376 54983872 55517696 55742464 56111104 57606458 57919904 59107328 59788288 62123008 62726144 65086112 65835952 66194176 67185664 68329472 68684623 69351464 70900256 71588608 72889804 74384128 75241088 76783616 77289758 78180193 78496712 79258816 79782976 80105984 80883712 81028864 81815552 84194054 85010432 85011472 85355648 88109056 88331152 89348792 89710528 90581504 91180544 91549696 92604416 94119844 95125856 96049408 96221776 97155968 97549312 98194432 99147776 100949888 101359832 104206336 104629504 106531252 107565536 108715264 109770752 109967744 111035392 111484928 112222208 115212916 115839808 118214656 119576576 124246016 127557157 130172224 131671904 132388352 134371328 137369246 138702928 141800512 143177216 145779608 148768256 150482176 154579516 156360386 156993424 158517632 159565952 160211968 161767424 162057728 163631104 164709727 168388108 170020864 170022944 170711296 176218112 176662304 178697584 179421056 181163008 182361088 183099392 185208832 186429691 188239688 190251712 192098816 192443552 194311936 195098624 196388864 201899776 202719664 208412672 209259008 213062504 215131072 217430528 219541504 219935488 222070784 230425832 231679616 236429312 239153152 248492032 255114314 260344448 263343808 264776704 268742656 274738492 277405856 283601024 286354432 291559216 297536512 300964352 309159032 312720772 313986848 317035264 319131904 320423936 324115456 327262208 329419454 336776216 340041728 340045888 341422592 346226569 353324608 357395168 358842112 362326016 364722176 370417664 372859382 376479376 380503424 384197632 384887104 388623872 390197248 392777728 403799552 405439328 418518016 426125008 430262144 434861056 439083008 439870976 444141568 460851664 463359232 478306304 496984064 510228628 520688896 526687616 529553408 537485312 547261351 549476984 554811712 567202048 572708864 583118432 595073024 601928704 618318064 625441544 627973696 634070528 638263808 640847872 648230912 658838908 673552432 680091776 682845184 692453138 706649216 714790336 717684224 724652032 729444352 745718764 752958752 761006848 768395264 769774208 777247744 780394496 785555456 807599104 810878656 837036032 852250016 860524288 869722112 879741952 888283136 892900099 921703328 926718464 1020457256 1041377792 1053375232 1059106816 1094522702 1098953968 1109623424 1134404096 1145417728 1166236864 1190146048 1203857408 1236636128 1250883088 1255947392 1268141056 1276527616 1281695744 1296461824 1305007837 1317677816 1347104864 1360183552 1365690368 1384906276 1413298432 1429580672 1435368448 1449304064 1458888704 1491437528 1505917504 1522013696 1536790528 1539548416 1554495488 1615198208 1621757312 1674072064 1704500032 1721048576 1739444224 1759483904 1785800198 1843406656 1853436928 2040914512 2082755584 2106750464 2118213632 2189045404 2197907936 2219246848 2268808192 2290835456 2332473728 2380292096 2407714816 2423585983 2473272256 2501766176 2511894784 2536282112 2553055232 2592923648 2610015674 2635355632 2694209728 2720367104 2731380736 2769812552 2826596864 2859161344 2870736896 2982875056 3011835008 3044027392 3073581056 3079096832 3108990976 3230396416 3243514624 3348144128 3409000064 3442097152 3478888448 3518967808 3571600396 3686813312 3706873856 4081829024 4165511168 4213500928 4378090808 4395815872 4438493696 4537616384 4664947456 4815429632 4847171966 4946544512 5003532352 5023789568 5072564224 5106110464 5220031348 5270711264 5388419456 5440734208 5462761472 5539625104 5653193728 5718322688 5741473792 5965750112 6023670016 6088054784 6158193664 6217981952 6460792832 6487029248 6818000128 6884194304 7037935616 7143200792 7373626624 7413747712 8163658048 8331022336 8427001856 8756181616 8791631744 8876987392 9075232768 9329894912 9694343932 9893089024 10007064704 10047579136 10145128448 10212220928 10440062696 10541422528 10776838912 10881468416 11079250208 11306387456 11436645376 11482947584 11931500224 12047340032 12176109568 12316387328 12974058496 13636000256 13768388608 14286401584 14747253248 14827495424 16327316096 16662044672 16854003712 16965101881 17512363232 17583263488 17753974784 18150465536 18659789824 19388687864 19786178048 20014129408 20095158272 20880125392 21082845056 21553677824 21762936832 22158500416 22612774912 22873290752 23863000448 24094680064 24352219136 24632774656 25948116992 27272000512 27536777216 28572803168 29494506496 32654632192 33708007424 33930203762 35024726464 35166526976 35507949568 37319579648 38777375728 39572356096 40028258816 40190316544 41760250784 42165690112 43107355648 43525873664 44317000832 45225549824 45746581504 47726000896 48189360128 49265549312 51896233984 54544001024 57145606336 58989012992 65309264384 67860407524 70049452928 70333053952 71015899136 74639159296 77554751456 79144712192 80056517632 80380633088 83520501568 84331380224 86214711296 88634001664 91493163008 95452001792 96378720256 103792467968 109088002048 114291212672 117978025984 130618528768 135720815048 140098905856 140666107904 149278318592 155109502912 158289424384 160113035264 167041003136 168662760448 172429422592 177268003328 190904003584 192757440512 218176004096 228582425344 235956051968 261237057536 271441630096 280197811712 281332215808 310219005824 316578848768 320226070528 334082006272 337325520896 344858845184 354536006656 381808007168 457164850688 522474115072 542883260192 560395623424 562664431616 620438011648 640452141056 668164012544 674651041792 709072013312 763616014336 914329701376 1044948230144 1085766520384 1120791246848 1240876023296 1336328025088 1349302083584 1418144026624 1527232028672 1828659402752 2171533040768 2241582493696 2481752046592 2672656050176 2836288053248 3657318805504 4343066081536 4483164987392 4963504093184 5345312100352 7314637611008 8686132163072 9927008186368 10690624200704 17372264326144 19854016372736 34744528652288 69489057304576 138978114609152
• Sum of all divisors σ(n): 382879674777600
• Sum of proper divisors (its aliquot sum) s(n): 243901560168448
• 138978114609152 is an abundant number, because the sum of its proper divisors (243901560168448) is greater than itself. Its abundance is 104923445559296

Bases of 138978114609152

• Binary: 11111100110011001011101001001110010000000000000₂
• Hexadecimal: 0x7E665D272000
• Base-36: 1D9HNX4O3K

Squares and roots of 138978114609152

• 138978114609152 squared (138978114609152²) is 19314916340314588569722159104
• 138978114609152 cubed (138978114609152³) is 2684350656810423604641255432705242518519808
• The square root of 138978114609152 is 11788897.9387028371
• The cube root of 138978114609152 is 51798.2958609569

Scales and comparisons

• 138,978,114,609,152 seconds is equal to 4,419,074 years, 8 weeks, 1 day, 3 hours, 52 minutes, 32 seconds.
• To count from 1 to 138,978,114,609,152 would take you about eleven million, forty-seven thousand, six hundred eighty-five 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 138978114609152 cubic inches would be around 4316.5 feet tall.

Recreational maths with 138978114609152

• 138978114609152 backwards is 251906411879831
• The number of decimal digits it has is: 15
• The sum of 138978114609152's digits is 65
• More coming soon!