138693024422013440

Names of 138693024422013440

• Cardinal: 138693024422013440 can be written as One hundred thirty-eight quadrillion, six hundred ninety-three trillion, twenty-four billion, four hundred twenty-two million, thirteen thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3869302442201344 × 10¹⁷

Factors of 138693024422013440

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 124

Divisors of 138693024422013440

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 4 5 8 10 16 20 23 32 40 41 46 53 64 80 82 92 106 115 128 160 164 184 205 212 230 256 265 320 328 368 410 424 460 512 529 530 640 656 736 820 848 920 943 1058 1060 1219 1280 1312 1472 1640 1681 1696 1840 1886 2116 2120 2173 2438 2560 2624 2645 2809 2944 3280 3362 3392 3680 3772 4232 4240 4346 4715 4876 5248 5290 5618 5888 6095 6560 6724 6784 7360 7544 8405 8464 8480 8692 9430 9752 10496 10580 10865 11236 11776 12167 12190 13120 13448 13568 14045 14720 15088 16810 16928 16960 17384 18860 19504 20992 21160 21689 21730 22472 24334 24380 26240 26896 27136 28037 28090 29440 30176 33620 33856 33920 34768 37720 38663 39008 42320 43378 43460 44944 48668 48760 49979 52480 53792 56074 56180 58880 60352 60835 64607 67240 67712 67840 68921 69536 75440 77326 78016 84640 86756 86920 89093 89888 97336 97520 99958 104960 107584 108445 112148 112360 115169 120704 121670 129214 134480 135424 135680 137842 139072 140185 150880 154652 156032 169280 173512 173840 178186 179776 193315 194672 195040 199916 215168 216890 224296 224720 230338 241408 243340 249895 258428 268960 270848 275684 278144 279841 280370 301760 309304 312064 323035 338560 344605 347024 347680 356372 359552 386630 389344 390080 399832 430336 433780 445465 448592 449440 460676 482816 486680 498847 499790 516856 537920 551368 556288 559682 560740 575845 603520 618608 624128 644851 646070 677120 689210 694048 695360 712744 719104 773260 778688 780160 799664 860672 867560 889249 890930 897184 898880 921352 973360 997694 999580 1033712 1075840 1102736 1112576 1119364 1121480 1149517 1151690 1207040 1237216 1289702 1292140 1354240 1378420 1388096 1390720 1399205 1425488 1438208 1485961 1546520 1557376 1560320 1585183 1599328 1735120 1778498 1781860 1794368 1797760 1842704 1946720 1995388 1999160 2049139 2067424 2151680 2205472 2238728 2242960 2299034 2303380 2414080 2474432 2494235 2579404 2584280 2648887 2756840 2776192 2781440 2798410 2850976 2971922 3093040 3114752 3120640 3170366 3198656 3224255 3470240 3556996 3563720 3588736 3595520 3652813 3685408 3893440 3990776 3998320 4098278 4134848 4303360 4410944 4446245 4477456 4485920 4598068 4606760 4721929 4948864 4988470 5158808 5168560 5297774 5513680 5552384 5562880 5596820 5701952 5747585 5943844 6186080 6229504 6340732 6397312 6448510 6940480 7113992 7127440 7177472 7191040 7305626 7370816 7429805 7786880 7925915 7981552 7996640 8196556 8269696 8821888 8892490 8954912 8971840 9196136 9213520 9443858 9897728 9976940 10245695 10317616 10337120 10595548 11027360 11104768 11193640 11403904 11473481 11495170 11887688 12372160 12681464 12794624 12897020 13244435 13880960 14227984 14254880 14354944 14611252 14741632 14831573 14859610 15573760 15851830 15963104 15993280 16393112 16539392 17643776 17784980 17909824 17943680 18264065 18392272 18427040 18887716 19795456 19953880 20452727 20491390 20635232 20674240 21191096 22054720 22387280 22807808 22946962 22990340 23609645 23775376 24744320 25362928 25589248 25794040 26438891 26488870 27761920 28455968 28509760 29222504 29483264 29663146 29719220 31147520 31703660 31926208 31986560 32786224 33078784 34177103 35287552 35569960 35819648 35887360 36459209 36528130 36784544 36854080 37775432 39907760 40905454 40982780 41270464 41348480 42382192 44109440 44774560 45615616 45893924 45980680 47130197 47219290 47550752 49488640 50725856 51588080 52877782 52977740 55523840 56911936 57019520 57367405 58445008 58966528 59326292 59438440 60924401 63407320 63852416 63973120 65572448 68354206 71139920 71639296 71774720 72918418 73056260 73569088 73708160 74157865 75550864 79815520 81810908 81965560 82540928 82696960 84014699 84764384 88218880 89549120 91787848 91961360 94260394 94438580 95101504 98977280 101451712 102263635 103176160 105755564 105955480 108604367 113823872 114039040 114734810 116890016 118652584 118876880 121848802 126814640 127704832 127946240 131144896 132194455 136708412 142279840 143278592 145836836 146112520 147138176 147416320 148315730 151101728 159631040 163621816 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811613696 818109080 825409280 838561807 840146990 846044512 847643840 868834936 917878480 935120128 940825442 942603940 949220672 951015040 967995445 974790416 1014517120 1049159168 1057555640 1083994531 1086043670 1093667296 1138238720 1166694688 1168900160 1186525840 1208813824 1216188986 1218488020 1277048320 1308974528 1311448960 1344235184 1356230144 1367084120 1401261223 1458368360 1468605568 1471381760 1508166304 1511017280 1548792712 1572146738 1636218160 1650818560 1677123614 1680293980 1692089024 1695287680 1737669872 1835756960 1870240256 1881650884 1885207880 1898441344 1902030080 1932338077 1935990890 1949580832 2029034240 2115111280 2167989062 2172087340 2187334592 2276477440 2333389376 2337800320 2352063605 2373051680 2417627648 2432377972 2436976040 2497900441 2617949056 2622897920 2688470368 2734168240 2802522446 2916736720 2937211136 2942763520 3016332608 3022034560 3040472465 3097585424 3144293476 3272436320 3354247228 3360587960 3384178048 3390575360 3475339744 3671513920 3763301768 3770415760 3796882688 3804060160 3864676154 3871981780 3899161664 3930366845 4058068480 4192809035 4230222560 4335978124 4344174680 4374669184 4452779047 4666778752 4675600640 4704127210 4746103360 4864755944 4873952080 4995800882 5235898112 5245795840 5376940736 5419972655 5468336480 5605044892 5833473440 5874422272 6032665216 6044069120 6080944930 6195170848 6288586952 6544872640 6708494456 6721175920 6768356096 6781150720 6950679488 7006306115 7343027840 7526603536 7540831520 7593765376 7729352308 7743963560 7798323328 7860733690 8385618070 8460445120 8671956248 8688349360 8749338368 8905558094 9333557504 9351201280 9408254420 9492206720 9661690385 9729511888 9747904160 9991601764 10471796224 10753881472 10839945310 10936672960 11210089784 11666946880 12065330432 12088138240 12161889860 12390341696 12489502205 12577173904 13089745280 13416988912 13442351840 13536712192 13901358976 14012612230 14686055680 15053207072 15081663040 15458704616 15487927120 15596646656 15721467380 16771236140 16920890240 17343912496 17376698720 17498676736 17811116188 18667115008 18816508840 18984413440 19286921561 19323380770 19459023776 19495808320 19983203528 21507762944 21679890620 21873345920 22263895235 22420179568 23333893760 24130660864 24323779720 24780683392 24931874213 24979004410 25154347808 26179490560 26833977824 26884703680 27802717952 28025224460 29372111360 30106414144 30163326080 30917409232 30975854240 31193293312 31442934760 32229008129 33542472280 33841780480 34687824992 34753397440 35622232376 37633017680 37968826880 38573843122 38646761540 38918047552 38991616640 39966407056 43015525888 43359781240 43746691840 44443775771 44527790470 44840359136 46667787520 48647559440 49561366784 49863748426 49958008820 50308695616 52358981120 53667955648 53769407360 55605435904 56050448920 57451710143 60212828288 60326652160 61834818464 61951708480 62885869520 64458016258 67084944560 67683560960 69375649984 69506794880 71244464752 75266035360 77147686244 77293523080 77836095104 77983233280 79932814112 86719562480 87493383680 88887551542 89055580940 89680718272 93335575040 96434607805 97295118880 99122733568 99727496852 99916017640 100617391232 102413918081 107335911296 107538814720 112100897840 114903420286 120425656576 120653304320 123669636928 123903416960 124659371065 125771739040 128916032516 134169889120 138751299968 139013589760 142488929504 150532070720 154295372488 154587046160 155672190208 155966466560 159865628224 161145040645 173439124960 177775103084 178111161880 179361436544 192869215610 194590237760 199454993704 199832035280 201234782464 204827836162 214671822592 215077629440 222218878855 224201795680 229806840572 240851313152 247339273856 247806833920 249318742130 251543478080 257832065032 268339778240 277502599936 278027179520 284977859008 287258550715 301064141440 308590744976 309174092320 311344380416 319731256448 322290081290 346878249920 355550206168 356222323760 358722873088 385738431220 389180475520 398909987408 399664070560 402469564928 409655672324 429343645184 444437757710 448403591360 459613681144 494678547712 495613667840 498637484260 503086956160 512069590405 515664130064 536679556480 555005199872 569955718016 574517101430 602128282880 617181489952 618348184640 639462512896 644580162580 693756499840 711100412336 712444647520 717445746176 771476862440 778360951040 797819974816 799328141120 819311344648 888875515420 896807182720 919227362288 989357095424 997274968520 1006173912320 1022206842733 1024139180810 1031328260128 1073359112960 1139911436032 1149034202860 1204256565760 1234362979904 1236696369280 1278925025792 1289160325160 1321389333289 1387512999680 1422200824672 1424889295040 1542953724880 1556721902080 1595639949632 1598656282240 1638622689296 1777751030840 1793614365440 1838454724576 1994549937040 2012347824640 2044413685466 2048278361620 2062656520256 2146718225920 2279822872064 2298068405720 2355520115863 2468725959808 2473392738560 2578320650320 2642778666578 2775025999360 2844401649344 2849778590080 3085907449760 3191279899264 3197312564480 3277245378592 3555502061680 3587228730880 3676909449152 3989099874080 4088827370932 4096556723240 4125313040512 4596136811440 4711040231726 4937451919616 4946785477120 5111034213665 5156641300640 5285557333156 5688803298688 5699557180160 6171814899520 6382559798528 6394625128960 6554490757184 6606946666445 7111004123360 7353818898304 7978199748160 8177654741864 8193113446480 8250626081024 9192273622880 9422080463452 9874903839232 10222068427330 10313282601280 10571114666312 11377606597376 11399114360320 11777600579315 12343629799040 12765119597056 13108981514368 13213893332890 14222008246720 14707637796608 15956399496320 16355309483728 16386226892960 16501252162048 18384547245760 18844160926904 20444136854660 20626565202560 21142229332624 22755213194752 23555201158630 24687259598080 26217963028736 26427786665780 28444016493440 29415275593216 31912798992640 32710618967456 32772453785920 36769094491520 37688321853808 40888273709320 41253130405120 42284458665248 47110402317260 49374519196160 52435926057472 52855573331560 54176962664849 56888032986880 63825597985280 65421237934912 65544907571840 73538188983040 75376643707616 81776547418640 82506260810240 84568917330496 94220804634520 105711146663120 108353925329698 113776065973760 130842475869824 131089815143680 147076377966080 150753287415232 163553094837280 169137834660992 188441609269040 211422293326240 216707850659396 261684951739648 262179630287360 270884813324245 301506574830464 327106189674560 338275669321984 376883218538080 422844586652480 433415701318792 523369903479296 541769626648490 603013149660928 654212379349120 676551338643968 753766437076160 845689173304960 866831402637584 1083539253296980 1206026299321856 1308424758698240 1507532874152320 1691378346609920 1733662805275168 2167078506593960 2616849517396480 3015065748304640 3382756693219840 3467325610550336 4334157013187920 6030131496609280 6934651221100672 8668314026375840 13869302442201344 17336628052751680 27738604884402688 34673256105503360 69346512211006720 138693024422013440
• Sum of all divisors σ(n): 363195070819584696
• Sum of proper divisors (its aliquot sum) s(n): 224502046397571256
• 138693024422013440 is an abundant number, because the sum of its proper divisors (224502046397571256) is greater than itself. Its abundance is 85809021975557816

Bases of 138693024422013440

• Binary: 111101100101111001001001000100101011111111010101000000000₂
• Hexadecimal: 0x1ECBC92257FAA00
• Base-36: 11XMKNTT3DVK

Squares and roots of 138693024422013440

• 138693024422013440 squared (138693024422013440²) is 19235755023325216502580463540633600
• 138693024422013440 cubed (138693024422013440³) is 2667865041225911960588343146770971155583765315584000
• The square root of 138693024422013440 is 372415123.7826055849
• The cube root of 138693024422013440 is 517628.5312262893

Scales and comparisons

• 138,693,024,422,013,440 seconds is equal to 4,410,009,170 years, 48 weeks, 1 day, 17 hours, 57 minutes, 20 seconds.
• To count from 1 to 138,693,024,422,013,440 would take you about thirteen billion, two hundred thirty million, twenty-seven thousand, five hundred twelve 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 138693024422013440 cubic inches would be around 43135.7 feet tall.

Recreational maths with 138693024422013440

• 138693024422013440 backwards is 044310224420396831
• The number of decimal digits it has is: 18
• The sum of 138693024422013440's digits is 56
• More coming soon!