138448832946144

Names of 138448832946144

• Cardinal: 138448832946144 can be written as One hundred thirty-eight trillion, four hundred forty-eight billion, eight hundred thirty-two million, nine hundred forty-six thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.38448832946144 × 10¹⁴

Factors of 138448832946144

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 3698

Divisors of 138448832946144

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 17 19 21 24 28 32 34 38 42 48 49 51 56 57 68 76 79 84 96 98 102 112 114 119 133 136 147 152 158 168 196 204 224 228 237 238 266 272 289 294 304 316 323 336 357 361 392 399 408 456 474 476 532 544 553 578 588 608 632 646 672 714 722 784 798 816 833 867 912 931 948 952 969 1064 1083 1106 1156 1176 1264 1292 1343 1428 1444 1501 1568 1596 1632 1659 1666 1734 1824 1862 1896 1904 1938 2023 2128 2166 2212 2261 2312 2352 2499 2527 2528 2584 2686 2793 2856 2888 3002 3192 3318 3332 3468 3571 3724 3792 3808 3871 3876 4029 4046 4256 4332 4424 4503 4522 4624 4704 4998 5054 5168 5372 5491 5586 5712 5776 6004 6069 6137 6384 6636 6664 6783 6936 7142 7448 7581 7584 7742 7752 8058 8092 8664 8848 9006 9044 9248 9401 9996 10108 10336 10507 10713 10744 10982 11172 11424 11552 11613 12008 12138 12274 12768 13272 13328 13566 13872 14161 14284 14896 15162 15484 15504 15827 16116 16184 16473 17328 17689 17696 18012 18088 18411 18802 19992 20216 21014 21426 21488 21964 22344 22831 23226 24016 24276 24548 24997 25517 26544 26656 27132 27744 28203 28322 28519 28568 29792 30324 30968 31008 31521 31654 32232 32368 32946 34656 35378 36024 36176 36822 37604 38437 39984 40432 42028 42483 42852 42959 42976 43928 44688 45662 46452 47481 48032 48552 49096 49994 51034 53067 53088 54264 56406 56644 57038 57136 60648 60707 61936 63042 63308 64464 64736 65807 65892 67849 68493 70756 72048 72352 73549 73644 74991 75208 76551 76874 79968 80864 84056 84966 85557 85704 85918 87856 89376 91324 92904 94962 97104 98192 99988 102068 104329 106134 108528 112812 113288 114076 114272 115311 121296 121414 123872 126084 126616 128877 128928 131614 131784 135698 136986 141512 144096 147098 147288 149982 150416 153102 153748 159817 168112 169932 171114 171408 171836 174979 175712 178619 182121 182648 185808 189924 194208 196384 197421 199633 199976 203547 204136 208658 212268 217056 220647 225624 226576 228152 230622 242592 242828 252168 253232 257754 263228 263568 269059 271396 273972 282109 283024 294196 294576 299964 300713 300832 306204 307496 312987 319634 336224 339864 342228 342816 343672 349958 357238 364242 365296 371616 379848 394842 399266 399952 407094 408272 417316 424536 424949 433789 441294 451248 453152 456304 461244 474943 479451 484823 485656 504336 506464 515508 524937 526456 527136 535857 538118 542792 547944 564218 566048 588392 589152 598899 599928 601426 612408 614992 625974 639268 679728 684456 687344 699916 714476 728484 730303 730592 759696 789684 798532 799904 807177 814188 816544 834632 846327 849072 849898 867578 882588 902139 902496 912608 922488 949886 958902 969646 971312 1008672 1031016 1032019 1049874 1052912 1071714 1076236 1085584 1095888 1118719 1128436 1153433 1176784 1197798 1199856 1202852 1224816 1229984 1250333 1251948 1274847 1278536 1289131 1301367 1359456 1368912 1374688 1397431 1399832 1424829 1428952 1454469 1456968 1460606 1519392 1579368 1597064 1614354 1628376 1669264 1692654 1698144 1699796 1735156 1765176 1804278 1844976 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693516768 701287264 704990391 712889443 728969656 745117718 758009028 760202464 775106976 787930437 791231136 805703304 807715118 809102896 814730792 823551162 866296032 900491928 904291472 920439534 923102992 939987188 941201328 960809689 978354012 1010678704 1020271728 1050573916 1051930896 1073846123 1074271072 1093454484 1098068216 1117676577 1140303696 1141413014 1200655904 1211572677 1213654344 1222096188 1227252712 1275696898 1304472016 1327040736 1356437208 1384654488 1409980782 1425778886 1457939312 1490235436 1516018056 1549060519 1575860874 1611406608 1615430236 1618205792 1629461584 1647102324 1712119521 1731302933 1800983856 1808582944 1840879068 1846205984 1879974376 1882402656 1913545347 1921619378 1956708024 2021357408 2040543456 2101147832 2103861792 2138668329 2147692246 2186908968 2196136432 2235353154 2280607392 2282826028 2423145354 2427308688 2444192376 2454505424 2551393796 2607912013 2608944032 2712874416 2769308976 2819961564 2851557772 2882429067 2915878624 2980470872 3032036112 3098121038 3151721748 3221538369 3222813216 3230860472 3258923168 3294204648 3424239042 3462605866 3601967712 3681758136 3759948752 3827090694 3843238756 3913416048 3994945549 4202295664 4277336658 4295384492 4373817936 4392272864 4464939143 4470706308 4565652056 4647181557 4846290708 4854617376 4888384752 4909010848 4990226101 5102787592 5193908799 5215824026 5425748832 5538617952 5639923128 5703115544 5764858134 5960941744 6064072224 6196242076 6303443496 6443076738 6461720944 6588409296 6848478084 6925211732 7363516272 7519897504 7654181388 7686477512 7823736039 7826832096 7989891098 8404591328 8554673316 8590768984 8747635872 8929878286 8941412616 9131304112 9294363114 9692581416 9776769504 9980452202 10205575184 10387817598 10431648052 10843423633 11279846256 11406231088 11529716268 11921883488 11984836647 12119120531 12392484152 12606886992 12886153476 12923441888 13176818592 13394817429 13696956168 13850423464 14727032544 14970678303 15308362776 15372955024 15647472078 15979782196 17109346632 17181537968 17859756572 17882825232 18255384091 18262608224 18588726228 19385162832 19960904404 20411150368 20775635196 20863296104 21686847266 22559692512 22812462176 23059432536 23969673294 24238241062 24784968304 25213773984 25772306952 26789634858 27393912336 27700846928 29432149861 29941356606 30616725552 30745910048 31294944156 31959564392 32530270899 34218693264 34363075936 35719513144 35765650464 36357361593 36510768182 37177452456 38770325664 39921808808 41551270392 41726592208 43373694532 46118865072 47939346588 48476482124 49569936608 51544613904 53579269716 54766152273 54787824672 55401693856 58864299722 59882713212 61233451104 62589888312 63919128784 65060541798 68437386528 71439026288 72714723186 73021536364 74354904912 75903965431 79843617616 83102540784 83453184416 84833843717 86747389064 88296449583 92237730144 95878693176 96952964248 103089227808 107158539432 109532304546 117728599444 119765426424 125179776624 127838257568 130121083596 142878052576 145429446372 146043072728 148709809824 151807930862 159687235232 166205081568 169667687434 173494778128 176592899166 191757386352 193905928496 206025049027 214317078864 219064609092 227711896293 235457198888 239530852848 250359553248 254501531151 260242167192 290858892744 292086145456 303615861724 339335374868 346989556256 353185798332 383514772704 387811856992 412050098054 428634157728 438129218184 455423792586 470914397776 479061705696 509003062302 520484334384 581717785488 584172290912 607231723448 618075147081 678670749736 706371596664 824100196108 876258436368 910847585172 941828795552 1018006124604 1040968668768 1163435570976 1214463446896 1236150294162 1357341499472 1412743193328 1442175343189 1648200392216 1752516872736 1821695170344 2036012249208 2428926893792 2472300588324 2714682998944 2825486386656 2884350686378 3296400784432 3643390340688 4072024498416 4326526029567 4944601176648 5768701372756 6592801568864 7286780681376 8144048996832 8653052059134 9889202353296 11537402745512 17306104118268 19778404706592 23074805491024 34612208236536 46149610982048 69224416473072 138448832946144
• Sum of all divisors σ(n): 480109373210880
• Sum of proper divisors (its aliquot sum) s(n): 341660540264736
• 138448832946144 is an abundant number, because the sum of its proper divisors (341660540264736) is greater than itself. Its abundance is 203211707318592

Bases of 138448832946144

• Binary: 11111011110101100100001100000011101111111100000₂
• Hexadecimal: 0x7DEB2181DFE0
• Base-36: 1D2QIKHR6O

Squares and roots of 138448832946144

• 138448832946144 squared (138448832946144²) is 19168079344149288302804468736
• 138448832946144 cubed (138448832946144³) is 2653798215016558262145325252848347619753984
• The square root of 138448832946144 is 11766428.2153142803
• The cube root of 138448832946144 is 51732.4563210149

Scales and comparisons

• 138,448,832,946,144 seconds is equal to 4,402,244 years, 33 weeks, 23 hours, 42 minutes, 24 seconds.
• To count from 1 to 138,448,832,946,144 would take you about eleven million, five thousand, six hundred eleven 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 138448832946144 cubic inches would be around 4311 feet tall.

Recreational maths with 138448832946144

• 138448832946144 backwards is 441649238844831
• The number of decimal digits it has is: 15
• The sum of 138448832946144's digits is 69
• More coming soon!