381442363011072

Names of 381442363011072

• Cardinal: 381442363011072 can be written as Three hundred eighty-one trillion, four hundred forty-two billion, three hundred sixty-three million, eleven thousand and seventy-two.

Scientific notation

• Scientific notation: 3.81442363011072 × 10¹⁴

Factors of 381442363011072

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 316

Divisors of 381442363011072

• Number of divisors d(n): 1404
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 64 66 72 76 88 96 99 108 114 121 128 132 144 152 171 176 192 198 209 216 228 242 256 264 281 288 297 304 342 352 361 363 384 396 418 432 456 484 512 513 528 562 576 594 608 627 684 704 722 726 768 792 836 843 864 912 968 1024 1026 1056 1083 1089 1124 1152 1188 1216 1254 1368 1408 1444 1452 1536 1584 1672 1686 1728 1824 1881 1936 2048 2052 2112 2166 2178 2248 2299 2304 2376 2432 2508 2529 2736 2816 2888 2904 3072 3091 3168 3249 3267 3344 3372 3456 3648 3762 3872 3971 4096 4104 4224 4332 4356 4496 4598 4608 4752 4864 5016 5058 5339 5472 5632 5643 5776 5808 6144 6182 6336 6498 6534 6688 6744 6897 6912 7296 7524 7587 7744 7942 8208 8448 8664 8712 8992 9196 9216 9273 9504 9728 9747 10032 10116 10678 10944 11264 11286 11552 11616 11913 12288 12364 12672 12996 13068 13376 13488 13794 13824 14592 15048 15174 15488 15884 16017 16416 16896 17328 17424 17984 18392 18432 18546 19008 19456 19494 20064 20232 20691 21356 21888 22528 22572 23104 23232 23826 24728 25344 25992 26136 26752 26976 27588 27648 27819 29184 30096 30348 30976 31768 32034 32832 33792 34001 34656 34848 35739 35968 36784 36864 37092 38016 38912 38988 40128 40464 41382 42712 43681 43776 45056 45144 46208 46464 47652 48051 49456 50688 51984 52272 53504 53952 55176 55296 55638 58368 58729 60192 60696 61952 62073 63536 64068 65664 67584 68002 69312 69696 71478 71936 73568 74184 76032 77824 77976 78961 80256 80928 82764 83457 85424 87362 87552 90288 92416 92928 95304 96102 98912 101376 101441 102003 103968 104544 107008 107217 107904 110352 110592 111276 116736 117458 120384 121392 123904 124146 127072 128136 131043 131328 135168 136004 138624 139392 142956 143872 144153 147136 148368 152064 155952 157922 160512 161856 165528 166914 170848 174724 175104 176187 180576 184832 185856 190608 192204 197824 202752 202882 204006 207936 209088 214016 214434 215808 220704 222552 233472 234916 236883 240768 242784 247808 248292 254144 256272 262086 262656 272008 277248 278784 285912 287744 288306 294272 296736 304128 304323 306009 311904 315844 321024 323712 331056 333828 341696 349448 350208 352374 361152 369664 371712 381216 384408 393129 395648 405504 405764 408012 415872 418176 428032 428868 431616 441408 445104 469832 473766 481536 485568 495616 496584 508288 512544 524172 525312 528561 544016 554496 557568 571824 575488 576612 588544 593472 608256 608646 612018 623808 631688 642048 646019 647424 662112 667656 683392 698896 700416 704748 710649 722304 739328 743424 762432 768816 786258 791296 811528 816024 831744 836352 856064 857736 863232 868571 882816 890208 912969 918027 939664 947532 963072 971136 993168 1016576 1025088 1048344 1050624 1057122 1088032 1108992 1115136 1115851 1143648 1150976 1153224 1177088 1179387 1186944 1216512 1217292 1224036 1247616 1263376 1284096 1292038 1294848 1324224 1335312 1366784 1397792 1409496 1421298 1444608 1478656 1486848 1500259 1524864 1537632 1572516 1582592 1585683 1623056 1632048 1663488 1672704 1715472 1726464 1737142 1765632 1780416 1825938 1836054 1879328 1895064 1926144 1938057 1942272 1986336 2033152 2050176 2096688 2101248 2114244 2131947 2176064 2217984 2230272 2231702 2287296 2306448 2354176 2358774 2373888 2434584 2448072 2495232 2526752 2568192 2584076 2589696 2605713 2648448 2670624 2733568 2738907 2795584 2818992 2842596 2889216 3000518 3049728 3075264 3145032 3165184 3171366 3246112 3264096 3326976 3345408 3347553 3430944 3452928 3474284 3531264 3560832 3651876 3672108 3758656 3790128 3852288 3876114 3884544 3972672 4066304 4100352 4193376 4228488 4263894 4352128 4435968 4460544 4463404 4500777 4574592 4612896 4708352 4717548 4747776 4869168 4896144 4990464 5053504 5168152 5179392 5211426 5296896 5341248 5467136 5477814 5591168 5637984 5685192 5778432 5814171 6001036 6099456 6150528 6290064 6330368 6342732 6492224 6528192 6653952 6690816 6695106 6861888 6948568 7062528 7121664 7303752 7344216 7517312 7580256 7704576 7752228 7769088 7817139 7945344 8132608 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33005698 33547008 33827904 34111152 34817024 34885026 35707232 36006216 36596736 36823083 36903168 37740384 37982208 38217124 38953344 39169152 39923712 40170636 40428032 40506993 41345216 41691408 42375168 42729984 43822512 44729344 45103872 45481536 46513368 46902834 48008288 48795648 49097444 49204224 49508547 50320512 50741856 51937792 52225536 53560848 54009324 54895104 55588544 56973312 57009842 57325686 58430016 58753728 60138496 60255954 60642048 62017824 62537112 63562752 65605632 66011396 67094016 67655808 68222304 69634048 69770052 71414464 72012432 73193472 73646166 73806336 75480768 76434248 77906688 78338304 80341272 80856064 81013986 82690432 83382816 84750336 85459968 85514763 85988529 87645024 89458688 90207744 90963072 93026736 93805668 96016576 98194888 98408448 99017094 100641024 101483712 103875584 104451072 107121696 108018648 109790208 110469249 111177088 113946624 114019684 114651372 116860032 117507456 120276992 120511908 121284096 124035648 125074224 127125504 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458605488 467440128 470029824 482047632 485136384 496142592 500296896 513088578 515931174 528091168 536752128 541246464 544594017 545778432 558160416 571315712 576099456 589169328 590450688 594102564 603846144 611473984 623253504 626706432 627108262 642730176 648111888 661523456 662815494 667062528 684118104 687908232 701160192 721661952 726125356 727704576 744213888 750445344 768132608 769632867 785559104 792136752 805128192 811869696 856973568 864149184 883753992 889416704 891153846 912157472 917210976 934880256 940059648 940662393 964095264 970272768 992285184 1000593792 1026177156 1031862348 1056182336 1082492928 1089188034 1091556864 1116320832 1142631424 1152198912 1178338656 1188205128 1207692288 1222947968 1246507008 1253412864 1254216524 1285460352 1296223776 1323046912 1325630988 1334125056 1368236208 1375816464 1402320384 1452250712 1455409152 1488427776 1500890688 1536265216 1539265734 1571118208 1584273504 1610256384 1623739392 1633782051 1713947136 1728298368 1767507984 1778833408 1782307692 1824314944 1834421952 1869760512 1880119296 1881324786 1928190528 1984570368 2001187584 2052354312 2063724696 2112364672 2164985856 2178376068 2183113728 2232641664 2285262848 2304397824 2356677312 2376410256 2415384576 2445895936 2508433048 2570920704 2592447552 2646093824 2651261976 2668250112 2736472416 2751632928 2804640768 2821987179 2904501424 2910818304 2976855552 3001781376 3072530432 3078531468 3142236416 3168547008 3247478784 3267564102 3427894272 3449095441 3456596736 3535015968 3557666816 3564615384 3648629888 3668843904 3739521024 3760238592 3762649572 3856381056 3969140736 4002375168 4104708624 4127449392 4224729344 4356752136 4366227456 4465283328 4570525696 4608795648 4713354624 4752820512 4830769152 4891791872 4901346153 5016866096 5141841408 5184895104 5302523952 5336500224 5472944832 5503265856 5609281536 5643974358 5809002848 5953711104 6003562752 6145060864 6157062936 6284472832 6337094016 6494957568 6535128204 6855788544 6898190882 6913193472 7070031936 7129230768 7297259776 7337687808 7525299144 7712762112 7938281472 8004750336 8209417248 8254898784 8449458688 8465961537 8713504272 8732454912 8930566656 9217591296 9426709248 9505641024 9783583744 9802692306 10033732192 10283682816 10347286323 10369790208 10605047904 10673000448 10945889664 11006531712 11218563072 11287948716 11618005696 11907422208 12007125504 12314125872 12568945664 12674188032 13070256408 13711577088 13796381764 13826386944 14140063872 14258461536 14594519552 14675375616 15050598288 15425524224 16009500672 16418834496 16509797568 16898917376 16931923074 17427008544 17861133312 18435182592 18853418496 19011282048 19567167488 19605384612 20067464384 20567365632 20694572646 20739580416 21210095808 21891779328 22013063424 22575897432 23236011392 23814844416 24014251008 24628251744 25137891328 25348376064 26140512816 27592763528 27652773888 28280127744 28516923072 29189039104 29350751232 30101196576 30851048448 31041858969 32019001344 32837668992 33019595136 33797834752 33863846148 34854017088 35722266624 37706836992 38022564096 39134334976 39210769224 40134928768 41134731264 41389145292 41479160832 42420191616 43783558656 44026126848 45151794864 46472022784 48028502016 49256503488 50275782656 50696752128 52281025632 55185527056 55305547776 56560255488 57033846144 58378078208 58701502464 60202393152 61702096896 62083717938 65675337984 66039190272 67595669504 67727692296 69708034176 71444533248 75413673984 76045128192 78421538448 80269857536 82778290584 82958321664 84840383232 87567117312 88052253696 90303589728 92944045568 93125576907 96057004032 98513006976 101393504256 104562051264 110371054112 113120510976 114067692288 116756156416 117403004928 120404786304 123404193792 124167435876 131350675968 132078380544 135455384592 139416068352 150827347968 152090256384 156843076896 160539715072 165556581168 165916643328 169680766464 175134234624 176104507392 180607179456 185888091136 186251153814 197026013952 202787008512 209124102528 220742108224 226241021952 228135384576 240809572608 248334871752 262701351936 264156761088 270910769184 278832136704 304180512768 313686153792 321079430144 331113162336 339361532928 350268469248 352209014784 361214358912 371776182272 372502307628 394052027904 418248205056 441484216448 452482043904 456270769152 481619145216 496669743504 525402703872 528313522176 541821538368 557664273408 608361025536 627372307584 642158860288 662226324672 678723065856 722428717824 743552364544 745004615256 788104055808 836496410112 882968432896 912541538304 963238290432 993339487008 1050805407744 1056627044352 1083643076736 1115328546816 1254744615168 1284317720576 1324452649344 1357446131712 1444857435648 1490009230512 1576208111616 1672992820224 1765936865792 1825083076608 1926476580864 1986678974016 2167286153472 2230657093632 2509489230336 2648905298688 2889714871296 2980018461024 3152416223232 3345985640448 3531873731584 3852953161728 3973357948032 4334572306944 5018978460672 5297810597376 5779429742592 5960036922048 6691971280896 7063747463168 7946715896064 8669144613888 10037956921344 10595621194752 11558859485184 11920073844096 14127494926336 15893431792128 17338289227776 20075913842688 21191242389504 23840147688192 31786863584256 34676578455552 42382484779008 47680295376384 63573727168512 95360590752768 127147454337024 190721181505536 381442363011072
• Sum of all divisors σ(n): 1315632043797960
• Sum of proper divisors (its aliquot sum) s(n): 934189680786888
• 381442363011072 is an abundant number, because the sum of its proper divisors (934189680786888) is greater than itself. Its abundance is 552747317775816

Bases of 381442363011072

• Binary: 1010110101110101101111000100011001011000000000000₂
• Hexadecimal: 0x15AEB788CB000
• Base-36: 3R7K7ADXC0

Squares and roots of 381442363011072

• 381442363011072 squared (381442363011072²) is 145498276299470428686394589184
• 381442363011072 cubed (381442363011072³) is 55499206325707852881949074635174962683445248
• The square root of 381442363011072 is 19530549.4805208181
• The cube root of 381442363011072 is 72523.0913690239

Scales and comparisons

• 381,442,363,011,072 seconds is equal to 12,128,687 years, 13 weeks, 5 days, 11 hours, 31 minutes, 12 seconds.
• To count from 1 to 381,442,363,011,072 would take you about thirty million, three hundred twenty-one thousand, seven hundred eighteen 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 381442363011072 cubic inches would be around 6043.6 feet tall.

Recreational maths with 381442363011072

• 381442363011072 backwards is 270110363244183
• The number of decimal digits it has is: 15
• The sum of 381442363011072's digits is 45
• More coming soon!