349388540789488128

Names of 349388540789488128

• Cardinal: 349388540789488128 can be written as Three hundred forty-nine quadrillion, three hundred eighty-eight trillion, five hundred forty billion, seven hundred eighty-nine million, four hundred eighty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 3.49388540789488128 × 10¹⁷

Factors of 349388540789488128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 432

Divisors of 349388540789488128

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 83 93 96 124 128 144 166 186 192 248 249 256 279 288 313 332 372 384 496 498 512 558 576 626 664 744 747 768 939 961 992 996 1116 1152 1252 1328 1488 1494 1536 1878 1922 1984 1992 2232 2304 2504 2573 2656 2817 2883 2976 2988 3756 3844 3968 3984 4464 4608 5008 5146 5312 5634 5766 5952 5976 7512 7688 7719 7936 7968 8649 8928 9703 10016 10292 10624 11268 11532 11904 11952 15024 15376 15438 15872 15936 17298 17856 19406 20032 20584 21248 22536 23064 23157 23808 23904 25979 29109 29791 30048 30752 30876 31872 34596 35712 38812 40064 41168 42496 45072 46128 46314 47616 47808 51958 58218 59582 60096 61504 61752 63744 69192 71424 77624 77937 79763 80128 82336 87327 89373 90144 92256 92628 95616 97969 103916 116436 119164 120192 123008 123504 127488 138384 142848 155248 155874 159526 160256 164672 174654 178746 180288 184512 185256 191232 195938 207832 232872 233811 238328 239289 240384 246016 247008 268119 276768 293907 300793 310496 311748 319052 329344 349308 357492 360576 369024 370512 382464 391876 415664 465744 467622 476656 478578 480768 492032 494016 536238 553536 587814 601586 620992 623496 638104 658688 698616 714984 717867 721152 738048 741024 783752 805349 831328 881721 902379 931488 935244 953312 957156 988032 1072476 1107072 1175628 1203172 1241984 1246992 1276208 1317376 1397232 1429968 1435734 1442304 1476096 1482048 1567504 1610698 1662656 1763442 1804758 1862976 1870488 1906624 1914312 1976064 2144952 2214144 2351256 2406344 2416047 2472653 2483968 2493984 2552416 2707137 2794464 2859936 2871468 2964096 3037039 3135008 3221396 3325312 3526884 3609516 3725952 3740976 3813248 3828624 3952128 4289904 4428288 4702512 4812688 4832094 4945306 4967936 4987968 5104832 5414274 5588928 5719872 5742936 5928192 6074078 6270016 6442792 6650624 7053768 7219032 7248141 7417959 7451904 7481952 7626496 7657248 8131427 8579808 9111117 9324583 9405024 9625376 9664188 9890612 9975936 10209664 10828548 11177856 11439744 11485872 11856384 12148156 12540032 12885584 13301248 14107536 14438064 14496282 14835918 14903808 14963904 15252992 15314496 16262854 17159616 18222234 18649166 18810048 19250752 19328376 19781224 19951872 20419328 21657096 22253877 22355712 22879488 22971744 24296312 24394281 24965819 25080064 25771168 27333351 27973749 28215072 28876128 28992564 29671836 29927808 30628992 30664297 32525708 34319232 36444468 37298332 37620096 38501504 38656752 39562448 39903744 40838656 43314192 44507754 44711424 45758976 45943488 48592624 48788562 49931638 50160128 51542336 54666702 55947498 56430144 57752256 57985128 59343672 59855616 61257984 61328594 65051416 68638464 72888936 73182843 74596664 74897457 75240192 77003008 77313504 79124896 83921247 86628384 89015508 91886976 91992891 94148209 97185248 97577124 99863276 103084672 109333404 111894996 112860288 115504512 115970256 118687344 119711232 122515968 122657188 130102832 137276928 145777872 146365686 149193328 149794914 150480384 154006016 154627008 158249792 167842494 173256768 178031016 183773952 183985782 188296418 194370496 195154248 199726552 206169344 218666808 223789992 224692371 225720576 231009024 231940512 237374688 245314376 252074237 260205664 275978673 282444627 291555744 292731372 298386656 299589828 309254016 316499584 335684988 346513536 356062032 367547904 367971564 376592836 388740992 390308496 399453104 412338688 437333616 447579984 449384742 451441152 462018048 463881024 474749376 490628752 504148474 520411328 551957346 564889254 583111488 585462744 596773312 599179656 618508032 632999168 671369976 693027072 712124064 735943128 753185672 756222711 773940389 777481984 780616992 798906208 847333881 874667232 895159968 898769484 927762048 949498752 950593207 981257504 1008296948 1040822656 1103914692 1129778508 1166222976 1170925488 1193546624 1198359312 1237016064 1265998336 1342739952 1386054144 1424248128 1471886256 1506371344 1512445422 1547880778 1554963968 1561233984 1597812416 1694667762 1749334464 1790319936 1797538968 1855524096 1898997504 1901186414 1962515008 2016593896 2081645312 2207829384 2259557016 2268668133 2321821167 2332445952 2341850976 2387093248 2396718624 2545136651 2685479904 2848496256 2851779621 2918594479 2943772512 3012742688 3024890844 3095761556 3122467968 3195624832 3389335524 3498668928 3580639872 3595077936 3711048192 3797995008 3802372828 3925030016 4033187792 4163290624 4415658768 4519114032 4537336266 4643642334 4664891904 4683701952 4774186496 4793437248 5090273302 5370959808 5696992512 5703559242 5837188958 5887545024 6025485376 6049781688 6191523112 6244935936 6391249664 6778671048 6965463501 6997337856 7161279744 7190155872 7604745656 7635409953 7814301347 7850060032 8066375584 8555338863 8755783437 8831317536 9038228064 9074672532 9287284668 9367403904 9586874496 10180546604 10741919616 11393985024 11407118484 11674377916 11775090048 12050970752 12099563376 12383046224 12489871872 12782499328 13557342096 13930927002 13994675712 14322559488 14380311744 15209491312 15270819906 15628602694 15700120064 16132751168 17110677726 17511566874 17662635072 18076456128 18149345064 18574569336 18734807808 19173748992 20361093208 21483839232 22814236968 22906229859 23348755832 23442904041 23550180096 24101941504 24199126752 24766092448 26267350311 27114684192 27861854004 28760623488 29468389417 30418982624 30541639812 31257205388 32265502336 34221355452 35023133748 35325270144 36152912256 36298690128 37149138672 37469615616 38347497984 40722186416 42967678464 45628473936 45812459718 46697511664 46885808082 47100360192 48203883008 48398253504 49532184896 52534700622 54229368384 55723708008 57521246976 58936778834 60837965248 61083279624 62514410776 64531004672 68442710904 70046267496 70328712123 70650540288 72305824512 72597380256 74298277344 78899236181 81444372832 88405168251 91256947872 91624919436 93395023328 93771616164 96796507008 99064369792 105069401244 108458736768 111447416016 115042493952 117873557668 121675930496 122166559248 125028821552 129062009344 136885421808 140092534992 140657424246 141301080576 144611649024 145194760512 148596554688 157798472362 162888745664 176810336502 182513895744 183249838872 186790046656 187543232328 193593014016 198128739584 210138802488 216917473536 222894832032 235747115336 236697708543 242243341757 243351860992 244333118496 250057643104 265215504753 273770843616 280185069984 281314848492 290389521024 297193109376 315596944724 325777491328 353620673004 365027791488 366499677744 373580093312 375086464656 387186028032 396257479168 420277604976 433834947072 445789664064 471494230672 473395417086 484486683514 486703721984 488666236992 500115286208 530431009506 547541687232 560370139968 562629696984 580779042048 594386218752 631193889448 651554982656 707241346008 710093125629 726730025271 730055582976 732999355488 747160186624 750172929312 840555209952 891579328128 913520071927 942988461344 946790834172 968973367028 977332473984 1000230572416 1060862019012 1095083374464 1120740279936 1125259393968 1161558084096 1188772437504 1262387778896 1303109965312 1414482692016 1420186251258 1453460050542 1460111165952 1465998710976 1494320373248 1500345858624 1681110419904 1783158656256 1827040143854 1885976922688 1893581668344 1937946734056 1954664947968 2000461144832 2121724038024 2180190075813 2190166748928 2241480559872 2250518787936 2445876321611 2524775557792 2740560215781 2828965384032 2840372502516 2906920101084 2931997421952 3000691717248 3362220839808 3566317312512 3654080287708 3771953845376 3787163336688 3875893468112 3909329895936 4000922289664 4243448076048 4360380151626 4380333497856 4482961119744 4501037575872 4891752643222 5049551115584 5481120431562 5657930768064 5680745005032 5813840202168 5863994843904 6001383434496 6724441679616 7308160575416 7337628964833 7543907690752 7574326673376 7751786936224 8221680647343 8486896152096 8720760303252 9002075151744 9783505286444 10099102231168 10962240863124 11315861536128 11361490010064 11627680404336 11727989687808 12002766868992 13448883359232 14616321150832 14675257929666 15087815381504 15148653346752 15503573872448 16443361294686 16973792304192 17441520606504 18004150303488 19567010572888 20198204462336 21924481726248 22012886894499 22631723072256 22722980020128 23255360808672 29232642301664 29350515859332 30297306693504 31007147744896 32886722589372 33947584608384 34883041213008 36008300606976 39134021145776 40396408924672 43848963452496 44025773788998 45263446144512 45445960040256 46510721617344 58465284603328 58701031718664 60594613387008 62014295489792 65773445178744 67895169216768 69766082426016 75822165969941 78268042291552 87697926904992 88051547577996 90891920080512 93021443234688 116930569206656 117402063437328 121189226774016 124028590979584 131546890357488 135790338433536 139532164852032 151644331939882 156536084583104 175395853809984 176103095155992 181783840161024 186042886469376 227466497909823 233861138413312 234804126874656 263093780714976 279064329704064 303288663879764 313072169166208 350791707619968 352206190311984 363567680322048 372085772938752 454932995819646 467722276826624 469608253749312 526187561429952 558128659408128 606577327759528 626144338332416 682399493729469 701583415239936 704412380623968 909865991639292 939216507498624 1052375122859904 1116257318816256 1213154655519056 1252288676664832 1364798987458938 1403166830479872 1408824761247936 1819731983278584 1878433014997248 2104750245719808 2426309311038112 2729597974917876 2817649522495872 3639463966557168 3756866029994496 4209500491439616 4852618622076224 5459195949835752 5635299044991744 7278927933114336 9705237244152448 10918391899671504 11270598089983488 14557855866228672 19410474488304896 21836783799343008 29115711732457344 38820948976609792 43673567598686016 58231423464914688 87347135197372032 116462846929829376 174694270394744064 349388540789488128
• Sum of all divisors σ(n): 1057903559908715520
• Sum of proper divisors (its aliquot sum) s(n): 708515019119227392
• 349388540789488128 is an abundant number, because the sum of its proper divisors (708515019119227392) is greater than itself. Its abundance is 359126478329739264

Bases of 349388540789488128

• Binary: 10011011001010001110000011011010110010110010111101000000000₂
• Hexadecimal: 0x4D94706D6597A00
• Base-36: 2NK7WFTD9J40

Squares and roots of 349388540789488128

• 349388540789488128 squared (349388540789488128²) is 122072352435007809401797744252944384
• 349388540789488128 cubed (349388540789488128³) is 42650681088007496419962944349835729971839180212273152
• The square root of 349388540789488128 is 591090975.0533230125
• The cube root of 349388540789488128 is 704319.2401066323

Scales and comparisons

• 349,388,540,789,488,128 seconds is equal to 11,109,474,867 years, 20 weeks, 2 days, 4 hours, 28 minutes, 48 seconds.
• To count from 1 to 349,388,540,789,488,128 would take you about thirty-three billion, three hundred twenty-eight million, four hundred twenty-four thousand, six hundred two 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 349388540789488128 cubic inches would be around 58693.3 feet tall.

Recreational maths with 349388540789488128

• 349388540789488128 backwards is 821884987045883943
• The number of decimal digits it has is: 18
• The sum of 349388540789488128's digits is 99
• More coming soon!