381126158351665344

Names of 381126158351665344

• Cardinal: 381126158351665344 can be written as Three hundred eighty-one quadrillion, one hundred twenty-six trillion, one hundred fifty-eight billion, three hundred fifty-one million, six hundred sixty-five thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 3.81126158351665344 × 10¹⁷

Factors of 381126158351665344

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 378682

Divisors of 381126158351665344

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 97 108 138 144 167 184 192 194 207 216 276 288 291 334 368 388 414 432 501 552 576 582 621 668 736 776 828 864 873 1002 1104 1164 1242 1336 1472 1503 1552 1571 1656 1728 1746 2004 2208 2231 2328 2484 2619 2672 3006 3104 3142 3312 3492 3841 4008 4416 4462 4509 4656 4713 4968 5238 5344 6012 6208 6284 6624 6693 6984 7682 8016 8924 9018 9312 9426 9936 10476 10688 11523 12024 12568 13248 13386 13968 14139 15364 16032 16199 17848 18036 18624 18852 19872 20079 20952 23046 24048 25136 26772 27936 28278 30728 32064 32398 34569 35696 36072 36133 37704 39744 40158 41904 42417 46092 48096 48597 50272 53544 55872 56556 60237 61456 64796 69138 71392 72144 72266 75408 80316 83808 84834 92184 96192 97194 100544 103707 107088 108399 113112 120474 122912 129592 138276 142784 144288 144532 145791 150816 152387 160632 167616 169668 184368 194388 207414 214176 216798 226224 240948 245824 259184 262357 276552 288576 289064 291582 301632 304774 321264 325197 339336 368736 372577 376819 388776 414828 428352 433596 437373 452448 457161 481896 518368 524714 553104 578128 583164 609548 642528 650394 678672 737472 745154 753638 777552 787071 829656 867192 874746 904896 914322 963792 975591 1036736 1049428 1106208 1117731 1130457 1156256 1166328 1219096 1285056 1300788 1357344 1371483 1490308 1507276 1555104 1574142 1659312 1734384 1749492 1828644 1927584 1951182 2098856 2212416 2235462 2260914 2312512 2332656 2361213 2438192 2601576 2714688 2742966 2980616 3014552 3110208 3148284 3318624 3353193 3391371 3468768 3498984 3504901 3657288 3855168 3902364 4114449 4197712 4470924 4521828 4665312 4722426 4876384 5203152 5485932 5961232 6029104 6034211 6296568 6637248 6706386 6782742 6937536 6997968 7009802 7083639 7314576 7804728 8228898 8395424 8666837 8941848 9043656 9330624 9444852 9752768 10059579 10174113 10406304 10514703 10971864 11922464 12058208 12068422 12593136 13412772 13565484 13995936 14019604 14167278 14629152 15609456 16457796 16790848 17333674 17883696 18087312 18102633 18889704 20119158 20348226 20812608 21029406 21943728 23844928 24116416 24136844 25186272 25448629 26000511 26825544 27130968 27991872 28039208 28334556 29258304 31218912 31544109 32915592 34667348 35767392 36174624 36205266 36551443 37779408 40238316 40696452 42058812 43887456 48273688 50372544 50897258 52001022 53651088 54261936 54307899 56078416 56669112 62437824 62928773 63088218 65831184 69334696 71534784 72349248 72410532 73102886 75558816 76345887 78001533 80476632 81392904 84117624 87774912 94632327 96547376 101794516 104002044 107302176 108523872 108615798 109654329 112156832 113338224 125857546 126176436 131662368 138669392 144821064 146205772 151117632 152691774 156003066 160953264 162785808 162923697 168235248 188786319 189264654 193094752 203589032 208004088 214604352 217047744 217231596 219308658 224313664 226676448 229037661 234004599 251715092 252352872 263324736 277338784 289642128 292411544 305383548 312006132 321906528 325571616 325847394 328962987 336470496 377572638 378529308 386189504 407178064 416008176 434463192 438617316 453352896 458075322 468009198 503430184 504705744 554677568 566358957 579284256 584823088 585318467 591982649 610767096 624012264 643813056 651143232 651694788 657925974 672940992 687112983 755145276 757058616 814356128 832016352 840683189 868926384 877234632 916150644 936018396 986888961 1006860368 1009411488 1132717914 1158568512 1169646176 1170636934 1183965298 1221534192 1248024528 1303389576 1315851948 1374225966 1447361779 1510290552 1514117232 1628712256 1664032704 1681366378 1699076871 1737852768 1754469264 1755955401 1775947947 1832301288 1872036792 1973777922 2013720736 2018822976 2265435828 2339292352 2341273868 2367930596 2443068384 2496049056 2522049567 2606779152 2631703896 2748451932 2894723558 3020581104 3028234464 3362732756 3398153742 3475705536 3508938528 3511910802 3551895894 3664602576 3744073584 3947555844 4027441472 4342085337 4530871656 4682547736 4735861192 4886136768 4992098112 5044099134 5213558304 5263407792 5267866203 5327843841 5496903864 5789447116 6041162208 6056468928 6104090981 6725465512 6796307484 7017877056 7023821604 7103791788 7329205152 7488147168 7566148701 7895111688 8684170674 9061743312 9365095472 9471722384 10088198268 10427116608 10526815584 10535732406 10655687682 10993807728 11578894232 12082324416 12208181962 13026256011 13450931024 13592614968 13615600927 14047643208 14207583576 14658410304 14976294336 15132297402 15790223376 15803598609 15983531523 17368341348 18123486624 18312272943 18730190944 18943444768 20176396536 21053631168 21071464812 21311375364 21987615456 22698446103 23157788464 24416363924 26052512022 26901862048 27185229936 27231201854 28095286416 28415167152 30264594804 31580446752 31607197218 31967063046 34736682696 36246973248 36624545886 37460381888 37886889536 39078768033 40352793072 40846802781 42142929624 42622750728 43975230912 45396892206 46315576928 48832727848 52105024044 53803724096 54370459872 54462403708 54936818829 56190572832 56830334304 57422316953 60529189608 63160893504 63214394436 63934126092 69473365392 73249091772 78157536066 80705586144 81693605562 84285859248 85245501456 90793784412 92631153856 97665455696 98861102383 104210048088 108740919744 108924807416 109873637658 112381145664 113660668608 114844633906 121058379216 122540408343 126428788872 127868252184 138946730784 140394092563 146498183544 156315072132 161411172288 163387211124 164810456487 168571718496 170491002912 172266950859 181587568824 195330911392 197722204766 208420096176 217849614832 219747275316 229689267812 242116758432 245080816686 252857577744 255736504368 277893461568 280788185126 292996367088 296583307149 312630144264 326774422248 329620912974 337143436992 340982005824 344533901718 363175137648 367621225029 390661822784 395444409532 416840192352 421182277689 435699229664 439494550632 459378535624 484233516864 490161633372 505715155488 511473008736 516800852577 561576370252 585992734176 593166614298 625260288528 653548844496 659241825948 689067803436 726350275296 735242450058 790888819064 833680384704 842364555378 871398459328 878989101264 889749921447 918757071248 980323266744 1011430310976 1022946017472 1033601705154 1123152740504 1171985468352 1186333228596 1250520577056 1263546833067 1307097688992 1318483651896 1320713289919 1378135606872 1452700550592 1470484900116 1550402557731 1581777638128 1684729110756 1757978202528 1779499842894 1837514142496 1960646533488 2067203410308 2246305481008 2273805354809 2372666457192 2501041154112 2527093666134 2614195377984 2636967303792 2641426579838 2669249764341 2756271213744 2940969800232 3100805115462 3163555276256 3369458221512 3515956405056 3558999685788 3675028284992 3790640499201 3921293066976 3962139869757 4134406820616 4492610962016 4547610709618 4745332914384 5054187332268 5273934607584 5282853159676 5338499528682 5512542427488 5881939600464 6201610230924 6327110552512 6738916443024 6821416064427 7117999371576 7581280998402 7842586133952 7924279739514 8268813641232 8985221924032 9095221419236 9490665828768 9589526931151 10108374664536 10547869215168 10565706319352 10676999057364 11025084854976 11763879200928 11886419609271 12403220461848 13477832886048 13642832128854 14235998743152 15162561996804 15848559479028 16537627282464 18190442838472 18981331657536 19179053862302 20216749329072 20464248193281 21131412638704 21353998114728 23527758401856 23772839218542 24806440923696 26955665772096 27285664257708 28471997486304 28768580793453 30325123993608 31697118958056 33075254564928 35659258827813 36380885676944 38358107724604 40433498658144 40928496386562 42262825277408 42707996229456 47545678437084 49612881847392 54571328515416 56943994972608 57537161586906 60650247987216 61392744579843 63394237916112 71318517655626 72761771353888 76716215449208 80866997316288 81856992773124 84525650554816 85415992458912 86305742380359 95091356874168 99225763694784 109142657030832 115074323173812 121300495974432 122785489159686 126788475832224 142637035311252 145523542707776 153432430898416 163713985546248 170831984917824 172611484760718 190182713748336 218285314061664 220559119416473 230148646347624 242600991948864 245570978319372 253576951664448 258917227141077 285274070622504 306864861796832 327427971092496 345222969521436 380365427496672 436570628123328 441118238832946 460297292695248 491141956638744 517834454282154 570548141245008 613729723593664 654855942184992 661677358249419 690445939042872 760730854993344 882236477665892 920594585390496 982283913277488 1035668908564308 1141096282490016 1309711884369984 1323354716498838 1380891878085744 1764472955331784 1841189170780992 1964567826554976 1985032074748257 2071337817128616 2282192564980032 2646709432997676 2761783756171488 3528945910663568 3929135653109952 3970064149496514 4142675634257232 5293418865995352 5523567512342976 5955096224244771 7057891821327136 7940128298993028 8285351268514464 10586837731990704 11910192448489542 14115783642654272 15880256597986056 16570702537028928 21173675463981408 23820384896979084 31760513195972112 42347350927962816 47640769793958168 63521026391944224 95281539587916336 127042052783888448 190563079175832672 381126158351665344
• Sum of all divisors σ(n): 1189040913259315200
• Sum of proper divisors (its aliquot sum) s(n): 807914754907649856
• 381126158351665344 is an abundant number, because the sum of its proper divisors (807914754907649856) is greater than itself. Its abundance is 426788596555984512

Bases of 381126158351665344

• Binary: 10101001010000010000011100011000011001010010000100011000000₂
• Hexadecimal: 0x54A0838C32908C0
• Base-36: 2W8PY41KS6O0

Squares and roots of 381126158351665344

• 381126158351665344 squared (381126158351665344²) is 145257148579898687044605218170638336
• 381126158351665344 cubed (381126158351665344³) is 55361299011373847746363944692816614799365669129027584
• The square root of 381126158351665344 is 617354159.5807590767
• The cube root of 381126158351665344 is 725030.4598231757

Scales and comparisons

• 381,126,158,351,665,344 seconds is equal to 12,118,632,934 years, 50 weeks, 3 days, 11 hours, 2 minutes, 24 seconds.
• To count from 1 to 381,126,158,351,665,344 would take you about thirty-six billion, three hundred fifty-five million, eight hundred ninety-eight thousand, eight hundred four 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 381126158351665344 cubic inches would be around 60419.2 feet tall.

Recreational maths with 381126158351665344

• 381126158351665344 backwards is 443566153851621183
• 381126158351665344 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 381126158351665344's digits is 72
• More coming soon!