138366541467648

Names of 138366541467648

• Cardinal: 138366541467648 can be written as One hundred thirty-eight trillion, three hundred sixty-six billion, five hundred forty-one million, four hundred sixty-seven thousand, six hundred forty-eight.

Scientific notation

• Scientific notation: 1.38366541467648 × 10¹⁴

Factors of 138366541467648

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 620

Divisors of 138366541467648

• Number of divisors d(n): 780
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 181 192 208 216 234 256 288 312 324 351 362 384 416 421 432 468 512 543 576 624 648 702 724 768 832 842 864 936 1024 1053 1086 1152 1248 1263 1296 1404 1448 1536 1629 1664 1684 1728 1872 2048 2106 2172 2304 2353 2496 2526 2592 2808 2896 3072 3258 3328 3368 3456 3744 3789 4096 4212 4344 4608 4706 4887 4992 5052 5184 5473 5616 5792 6144 6516 6656 6736 6912 7059 7488 7578 8424 8688 9216 9412 9774 9984 10104 10368 10946 11232 11367 11584 12288 13032 13312 13472 13824 14118 14661 14976 15156 16419 16848 17376 18432 18824 19548 19968 20208 20736 21177 21892 22464 22734 23168 26064 26624 26944 27648 28236 29322 29952 30312 32838 33696 34101 34752 36864 37648 39096 39936 40416 41472 42354 43784 44928 45468 46336 49257 52128 53248 53888 55296 56472 58644 59904 60624 63531 65676 67392 68202 69504 75296 76201 78192 79872 80832 82944 84708 87568 89856 90936 92672 98514 104256 107776 110592 112944 117288 119808 121248 127062 131352 134784 136404 139008 147771 150592 152402 156384 159744 161664 165888 169416 175136 177241 179712 181872 185344 190593 197028 208512 215552 225888 228603 234576 239616 242496 254124 262704 269568 272808 278016 295542 301184 304804 312768 323328 331776 338832 350272 354482 359424 363744 370688 381186 394056 417024 431104 443313 451776 457206 469152 479232 484992 508248 525408 531723 539136 545616 556032 591084 602368 609608 625536 646656 677664 685809 700544 708964 718848 727488 741376 762372 788112 834048 862208 886626 903552 914412 938304 969984 990613 1016496 1050816 1063446 1078272 1091232 1112064 1182168 1204736 1219216 1251072 1293312 1355328 1371618 1401088 1417928 1437696 1454976 1524744 1576224 1595169 1668096 1724416 1773252 1807104 1828824 1876608 1939968 1981226 2032992 2057427 2101632 2126892 2156544 2182464 2224128 2304133 2364336 2409472 2438432 2502144 2586624 2710656 2743236 2802176 2835856 2909952 2971839 3049488 3152448 3190338 3336192 3546504 3614208 3657648 3753216 3879936 3962452 4065984 4114854 4203264 4253784 4313088 4364928 4608266 4728672 4785507 4818944 4876864 5004288 5173248 5421312 5486472 5604352 5671712 5819904 5943678 6098976 6172281 6304896 6380676 6672384 6912399 7093008 7228416 7315296 7506432 7759872 7924904 8131968 8229708 8406528 8507568 8729856 8915517 9216532 9457344 9571014 9637888 9753728 10008576 10842624 10972944 11208704 11343424 11639808 11887356 12197952 12344562 12609792 12761352 13824798 14186016 14356521 14456832 14630592 15012864 15519744 15849808 16263936 16459416 16813056 17015136 17459712 17831034 18433064 18914688 19142028 19507456 20017152 20737197 21685248 21945888 22417408 22686848 23279616 23774712 24395904 24689124 25219584 25522704 26746551 27649596 28372032 28713042 28913664 29261184 30025728 31699616 32080621 32527872 32918832 33626112 34030272 34919424 35662068 36866128 37829376 38284056 39014912 41474394 43370496 43891776 45373696 46559232 47549424 48791808 49378248 50439168 51045408 53493102 55299192 56744064 57426084 58522368 60051456 62211591 63399232 64161242 65055744 65837664 67252224 68060544 69838848 71324136 73732256 75658752 76568112 78029824 80239653 82948788 86740992 87783552 90747392 95098848 96241863 97583616 98756496 100878336 102090816 106986204 110598384 113488128 114852168 117044736 124423182 126798464 128322484 130111488 131675328 136121088 139677696 142648272 147464512 151317504 153136224 156059648 160479306 165897576 175567104 181494784 186634773 190197696 192483726 195167232 197512992 201756672 204181632 213972408 221196768 226976256 229704336 234089472 248846364 253596928 256644968 260222976 263350656 272242176 285296544 288725589 294929024 302635008 306272448 312119296 320958612 331795152 351134208 362989568 373269546 380395392 384967452 390334464 395025984 408363264 417048073 427944816 442393536 453952512 459408672 468178944 497692728 507193856 513289936 526701312 544484352 570593088 577451178 589858048 605270016 612544896 641917224 663590304 702268416 725979136 746539092 760790784 769934904 780668928 790051968 816726528 834096146 855889632 866176767 884787072 907905024 918817344 936357888 995385456 1014387712 1026579872 1053402624 1088968704 1141186176 1154902356 1179716096 1225089792 1251144219 1283834448 1327180608 1404536832 1493078184 1521581568 1539869808 1580103936 1633453056 1668192292 1711779264 1732353534 1769574144 1815810048 1837634688 1990770912 2028775424 2053159744 2106805248 2177937408 2282372352 2309804712 2359432192 2450179584 2502288438 2567668896 2598530301 2654361216 2809073664 2986156368 3043163136 3079739616 3160207872 3266906112 3336384584 3423558528 3464707068 3539148288 3675269376 3753432657 3981541824 4057550848 4106319488 4213610496 4564744704 4619609424 4718864384 4900359168 5004576876 5135337792 5197060602 5308722432 5972312736 6086326272 6159479232 6320415744 6533812224 6672769168 6847117056 6929414136 7078296576 7350538752 7506865314 7963083648 8212638976 8427220992 9129489408 9239218848 9437728768 9800718336 10009153752 10270675584 10394121204 10617444864 11260297971 11944625472 12172652544 12318958464 12640831488 13345538336 13694234112 13858828272 14156593152 14701077504 15013730628 15926167296 16425277952 18258978816 18478437696 19601436672 20018307504 20541351168 20788242408 21234889728 22520595942 23889250944 24637916928 25281662976 26691076672 27388468224 27717656544 28313186304 29402155008 30027461256 31852334592 32850555904 33780893913 36517957632 36956875392 40036615008 41082702336 41576484816 42469779456 45041191884 47778501888 49275833856 53382153344 54776936448 55435313088 58804310016 60054922512 63704669184 65701111808 67561787826 73913750784 80073230016 82165404672 83152969632 84939558912 90082383768 95557003776 98551667712 106764306688 109553872896 110870626176 120109845024 127409338368 131402223616 135123575652 147827501568 160146460032 164330809344 166305939264 180164767536 191114007552 197103335424 213528613376 221741252352 240219690048 254818676736 270247151304 295655003136 320292920064 328661618688 332611878528 360329535072 382228015104 394206670848 427057226752 443482504704 480439380096 540494302608 591310006272 640585840128 665223757056 720659070144 764456030208 854114453504 886965009408 960878760192 1080988605216 1182620012544 1281171680256 1330447514112 1441318140288 1708228907008 1773930018816 1921757520384 2161977210432 2562343360512 2660895028224 2882636280576 3547860037632 3843515040768 4323954420864 5124686721024 5321790056448 5765272561152 7687030081536 8647908841728 10643580112896 11530545122304 15374060163072 17295817683456 23061090244608 34591635366912 46122180489216 69183270733824 138366541467648
• Sum of all divisors σ(n): 448661404154964
• Sum of proper divisors (its aliquot sum) s(n): 310294862687316
• 138366541467648 is an abundant number, because the sum of its proper divisors (310294862687316) is greater than itself. Its abundance is 171928321219668

Bases of 138366541467648

• Binary: 11111011101011111111000100011011001000000000000₂
• Hexadecimal: 0x7DD7F88D9000
• Base-36: 1D1OPM9S00

Squares and roots of 138366541467648

• 138366541467648 squared (138366541467648²) is 19145299797718353549830651904
• 138366541467648 cubed (138366541467648³) is 2649068918371549432708531040602748765601792
• The square root of 138366541467648 is 11762930.8196404861
• The cube root of 138366541467648 is 51722.2046779575

Scales and comparisons

• 138,366,541,467,648 seconds is equal to 4,399,628 years, 1 week, 1 day, 7 hours, 40 minutes, 48 seconds.
• To count from 1 to 138,366,541,467,648 would take you about ten million, nine hundred ninety-nine thousand and seventy 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 138366541467648 cubic inches would be around 4310.2 feet tall.

Recreational maths with 138366541467648

• 138366541467648 backwards is 846764145663831
• 138366541467648 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138366541467648's digits is 72
• More coming soon!