138300624729344

Names of 138300624729344

• Cardinal: 138300624729344 can be written as One hundred thirty-eight trillion, three hundred billion, six hundred twenty-four million, seven hundred twenty-nine thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 1.38300624729344 × 10¹⁴

Factors of 138300624729344

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 19681

Divisors of 138300624729344

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 113 119 121 128 136 154 176 187 224 226 238 242 256 272 289 308 352 374 448 452 476 484 544 578 616 704 748 791 847 896 904 952 968 1088 1156 1232 1243 1309 1408 1496 1582 1694 1792 1808 1904 1921 1936 2023 2057 2176 2312 2464 2486 2618 2816 2992 3164 3179 3388 3616 3808 3842 3872 4046 4114 4352 4624 4928 4972 5236 5984 6328 6358 6776 7232 7616 7684 7744 8092 8228 8701 9248 9856 9944 10472 11968 12656 12716 13447 13552 13673 14399 14464 15232 15368 15488 16184 16456 17402 18496 19531 19712 19888 20944 21131 22253 23936 25312 25432 26894 27104 27346 28798 28928 30464 30736 30976 32368 32657 32912 34804 34969 36992 39062 39776 41888 42262 44506 47872 50624 50864 53788 54208 54692 57596 61472 64736 65314 65824 69608 69938 73984 78124 79552 83776 84524 89012 95711 101248 101728 107576 108416 109384 115192 122944 129472 130628 131648 136717 139216 139876 147917 156248 159104 167552 169048 178024 191422 202496 203456 214841 215152 216832 218768 228599 230384 232441 244783 245888 258944 261256 263296 273434 278432 279752 295834 312496 318208 332027 335104 338096 356048 359227 382844 406912 429682 430304 437536 457198 460768 464882 489566 491776 517888 522512 526592 546868 556864 559504 591668 624992 664054 676192 712096 718454 765688 813824 859364 860608 875072 914396 921536 929764 979132 1045024 1093736 1113728 1119008 1183336 1249984 1328108 1352384 1424192 1436908 1503887 1531376 1627087 1718728 1721216 1750144 1828792 1843072 1859528 1958264 2090048 2187472 2207003 2227456 2238016 2324189 2363251 2366672 2499968 2514589 2656216 2704768 2848384 2873816 3007774 3062752 3254174 3437456 3442432 3500288 3652297 3657584 3686144 3719056 3916528 3951497 4180096 4374944 4414006 4476032 4648378 4726502 4733344 4999936 5029178 5312432 5409536 5644459 5696768 5747632 6015548 6125504 6508348 6874912 7304594 7315168 7438112 7833056 7902994 8360192 8749888 8828012 8952064 9296756 9453004 9466688 10058356 10624864 11288918 11495264 12031096 12251008 13016696 13749824 14609188 14630336 14876224 15449021 15666112 15805988 16542757 17499776 17656024 18593512 18906008 18933376 20116712 21249728 22577836 22990528 24062192 24277033 24502016 25566079 26033392 27499648 27660479 29218376 29260672 29752448 30898042 31332224 31611976 33085514 34999552 35312048 37187024 37519051 37812016 37866752 39511213 40175267 40233424 42499456 45155672 45981056 48124384 48554066 51132158 52066784 54999296 55320958 58436752 58521344 59504896 61796084 62089049 62664448 63223952 66171028 70624096 74374048 75038102 75624032 79022426 80350534 80466848 84998912 90311344 91962112 96248768 97108132 102264316 104133568 110641916 116873504 123592168 124178098 126447904 132342056 141248192 148748096 150076204 151248064 158044852 160701068 160933696 169939231 180622688 192497536 194216264 204528632 208267136 221283832 233747008 247184336 248356196 252895808 262633357 264684112 267047363 281226869 282496384 297496192 300152408 302496128 316089704 321402136 321867392 339878462 361245376 384995072 388432528 409057264 412709561 416534272 434623343 442567664 467494016 494368672 496712392 505791616 525266714 529368224 534094726 562453738 564992768 594992384 600304816 604992256 632179408 637823867 642804272 643734784 679756924 682979539 722490752 776865056 818114528 825419122 869246686 885135328 934988032 988737344 993424784 1011583232 1050533428 1058736448 1068189452 1124907476 1200609632 1264358816 1275647734 1285608544 1359513848 1365959078 1444981504 1553730112 1636229056 1650838244 1738493372 1770270656 1869331541 1977474688 1986849568 2101066856 2117472896 2136378904 2249814952 2401219264 2528717632 2551295468 2571217088 2719027696 2731918156 2888966927 3107460224 3272458112 3301676488 3476986744 3540541312 3738663082 3954949376 3973699136 4202133712 4234945792 4272757808 4464767069 4499629904 4539805171 4780856773 4802438528 5057435264 5102590936 5142434176 5438055392 5463836312 5777933854 6214920448 6544916224 6603352976 6953973488 7016062537 7081082624 7477326164 7947398272 8404267424 8545515616 8929534138 8999259808 9079610342 9561713546 9604877056 10114870528 10205181872 10284868352 10876110784 10927672624 11555867708 13206705952 13907946976 14032125074 14954652328 15894796544 16808534848 17091031232 17859068276 17998519616 18159220684 19123427092 20410363744 21752221568 21855345248 23111735416 26413411904 27815893952 28064250148 29909304656 31778636197 33617069696 34182062464 35718136552 35997039232 36318441368 38246854184 40820727488 43504443136 43710690496 46223470832 49112437759 52826823808 55631787904 56128500296 59818609312 63557272394 67234139392 68364124928 71436273104 71994078464 72636882736 76493708368 77176687907 81641454976 87421380992 92446941664 98224875518 105653647616 111263575808 112257000592 119637218624 127114544788 142872546208 145273765472 152987416736 154353375814 163282909952 174842761984 184893883328 196449751036 224514001184 239274437248 254229089576 285745092416 290547530944 305974833472 308706751628 369787766656 392899502072 449028002368 478548874496 508458179152 540236815349 571490184832 581095061888 611949666944 617413503256 739575533312 785799004144 898056004736 1016916358304 1080473630698 1142980369664 1162190123776 1223899333888 1234827006512 1571598008288 1796112009472 2033832716608 2160947261396 2469654013024 3143196016576 4067665433216 4321894522792 4939308026048 6286392033152 8135330866432 8643789045584 9878616052096 12572784066304 17287578091168 19757232104192 34575156182336 69150312364672 138300624729344
• Sum of all divisors σ(n): 371665689226944
• Sum of proper divisors (its aliquot sum) s(n): 233365064497600
• 138300624729344 is an abundant number, because the sum of its proper divisors (233365064497600) is greater than itself. Its abundance is 95064439768256

Bases of 138300624729344

• Binary: 11111011100100010011111100110111111010100000000₂
• Hexadecimal: 0x7DC89F9BF500
• Base-36: 1D0UFH5B7K

Squares and roots of 138300624729344

• 138300624729344 squared (138300624729344²) is 19127062800526837153254670336
• 138300624729344 cubed (138300624729344³) is 2645284734550257598228950055086463945539584
• The square root of 138300624729344 is 11760128.6017349317
• The cube root of 138300624729344 is 51713.9900220763

Scales and comparisons

• 138,300,624,729,344 seconds is equal to 4,397,532 years, 3 weeks, 6 days, 2 hours, 35 minutes, 44 seconds.
• To count from 1 to 138,300,624,729,344 would take you about ten million, nine hundred ninety-three thousand, eight hundred thirty 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 138300624729344 cubic inches would be around 4309.5 feet tall.

Recreational maths with 138300624729344

• 138300624729344 backwards is 443927426003831
• 138300624729344 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138300624729344's digits is 56
• More coming soon!