381682103437025664

Names of 381682103437025664

• Cardinal: 381682103437025664 can be written as Three hundred eighty-one quadrillion, six hundred eighty-two trillion, one hundred three billion, four hundred thirty-seven million, twenty-five thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 3.81682103437025664 × 10¹⁷

Factors of 381682103437025664

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 7652

Divisors of 381682103437025664

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 52 56 57 64 76 78 84 91 96 101 104 112 114 128 133 152 156 168 182 192 202 208 224 228 247 266 273 303 304 312 336 364 384 399 404 416 448 456 494 532 546 606 608 624 672 707 728 741 798 808 832 896 912 988 1064 1092 1212 1216 1248 1313 1344 1414 1456 1482 1596 1616 1664 1729 1824 1919 1976 2121 2128 2184 2424 2432 2496 2626 2688 2828 2912 2964 3192 3232 3458 3648 3838 3939 3952 4242 4256 4368 4848 4992 5187 5252 5656 5757 5824 5928 6384 6464 6916 7296 7507 7676 7878 7904 8484 8512 8736 9191 9696 10201 10374 10504 11312 11514 11648 11856 12768 12928 13433 13832 15014 15352 15756 15808 16968 17024 17472 18382 19392 20402 20748 21008 22521 22624 23028 23712 24947 25536 26866 27573 27664 30028 30603 30704 31512 31616 33936 34944 36764 38784 40299 40804 41496 42016 45042 45248 46056 47424 49894 51072 52549 53732 55146 55328 60056 61206 61408 63024 67872 71407 73528 74841 80598 81608 82992 84032 90084 90496 92112 94848 97591 99788 105098 107464 110292 110656 120112 122412 122816 126048 132613 135744 142633 142814 147056 149682 157647 161196 163216 165984 168064 174629 180168 184224 193819 195182 199576 210196 214221 214928 220584 221312 240224 244824 245632 252096 265226 271488 285266 285628 292773 294112 299364 315294 322392 326432 331968 349258 360336 368448 387638 390364 397839 399152 420392 427899 428442 429856 441168 480448 489648 504192 523887 530452 570532 571256 581457 585546 588224 598728 630588 644784 652864 663936 683137 698516 720672 736896 758207 775276 780728 795678 798304 840784 855798 856884 859712 882336 928291 960896 979296 998431 1047774 1060904 1141064 1142512 1162914 1171092 1176448 1197456 1261176 1289568 1305728 1356733 1366274 1397032 1441344 1516414 1550552 1561456 1591356 1596608 1681568 1711596 1713768 1719424 1764672 1854229 1856582 1958592 1996862 2049411 2095548 2121808 2274621 2282128 2285024 2325828 2342184 2394912 2519647 2522352 2579136 2713466 2732548 2784873 2794064 2882688 2995293 3032828 3101104 3122912 3182712 3193216 3363136 3423192 3427536 3529344 3708458 3713164 3917184 3993724 4070199 4098822 4191096 4243616 4549242 4564256 4570048 4651656 4684368 4789824 5039294 5044704 5158272 5307449 5426932 5465096 5562687 5569746 5588128 5990586 6065656 6202208 6245824 6365424 6726272 6846384 6855072 7416916 7426328 7558941 7987448 8140398 8197644 8382192 8487232 9098484 9128512 9140096 9303312 9368736 9579648 9856691 10078588 10089408 10614898 10853864 10930192 11125374 11139492 11176256 11981172 12131312 12404416 12491648 12730848 12979603 13692768 13710144 14405933 14833832 14852656 15117882 15922347 15974896 16280796 16395288 16764384 16974464 17637529 18196968 18257024 18606624 18737472 19713382 20157176 20178816 21229796 21707728 21860384 22250748 22278984 22352512 23962344 24262624 24808832 25461696 25959206 27385536 27420288 28811866 29570073 29667664 29705312 30235764 31844694 31949792 32561592 32790576 33528768 35275058 36393936 37213248 37474944 38938809 39426764 40314352 42459592 43217799 43415456 43720768 44501496 44557968 47924688 48525248 50923392 51918412 52912587 54771072 56355049 57623732 59140146 59335328 59410624 60471528 63689388 63899584 65123184 65581152 67057536 68996837 70550116 72787872 74426496 76578907 77877618 78853528 80628704 84919184 86435598 86830912 87441536 89002992 89115936 95849376 97050496 100841531 103836824 105825174 112710098 115247464 118280292 118670656 118821248 120943056 127378776 127799168 130246368 131162304 137993674 141100232 145575744 153157814 155755236 157707056 161257408 169065147 169838368 172871196 173661824 178005984 178231872 187277129 191698752 201683062 206990511 207673648 211650348 225420196 229736721 230494928 236560584 237341312 241886112 254757552 260492736 262324608 275987348 282200464 291151488 302524593 306315628 311510472 315414112 322514816 338130294 339676736 345742392 356011968 356463744 374554258 383397504 394485343 403366124 413981022 415347296 423300696 450840392 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4494651096 4733824116 4840393488 4901050048 4984167552 5128309459 5243759612 5410084704 5531878272 5691859949 5819996932 5860925096 5973154746 5992868128 6311765488 6424475586 6432628188 6453857984 6623696352 6772811136 6968680537 7213446272 7351575072 7495221517 7865639418 7964206328 8565967448 8576837584 8729995398 8791387644 8831595136 8989302192 9467648232 9680786976 9802100096 10184994631 10256618918 10487519224 10820169408 11383719898 11639993864 11721850192 11946309492 11985736256 12623530976 12848951172 12865256376 12907715968 13247392704 13919697103 13937361074 14703150144 14990443034 15384928377 15731278836 15928412656 17075579847 17131934896 17153675168 17459990796 17582775288 17978604384 18914990029 18935296464 19361573952 20369989262 20513237836 20906041611 20975038448 21640338816 22485664551 22767439796 23279987728 23443700384 23892618984 23971472512 25247061952 25697902344 25730512752 26494785408 27839394206 27874722148 29406300288 29980886068 30554983893 30769856754 31462557672 31856825312 34151159694 34263869792 34307350336 34919981592 35165550576 35957208768 37829980058 37870592928 38723147904 39843019643 40739978524 41026475672 41759091309 41812083222 41950076896 44971329102 45534879592 46559975456 46887400768 47785237968 50494123904 51395804688 51461025504 55678788412 55749444296 56744970087 59961772136 61109967786 61539713508 62925115344 63713650624 68302319388 68527739584 68614700672 69839963184 70331101152 71914417536 73994179337 75659960116 75741185856 79686039286 81479957048 82052951344 83518182618 83624166444 83900153792 89942658204 91069759184 93119950912 93774801536 95570475936 97437879721 102791609376 102922051008 108145339031 111357576824 111498888592 113489940174 119529058929 119923544272 122219935572 123079427016 125850230688 127427301248 132404930203 136604638776 137055479168 139679926368 140662202304 147988358674 151319920232 151482371712 159372078572 162959914096 164105902688 167036365236 167248332888 167800307584 179885316408 182139518368 186239901824 191140951872 194875759442 205583218752 205844102016 216290678062 221982538011 222715153648 222997777184 226979880348 239058117858 239847088544 244439871144 246158854032 251700461376 264809860406 273209277552 279359852736 281324404608 292313639163 295976717348 302639840464 318744157144 324436017093 325919828192 328211805376 334072730472 334496665776 359770632816 364279036736 382281903744 389751518884 397214790609 411166437504 432581356124 443965076022 445430307296 445995554368 453959760696 478116235716 479694177088 488879742288 492317708064 503400922752 517959255359 529619720812 546418555104 558719705472 574877854849 584627278326 591953434696 605279680928 637488314288 648872034186 651839656384 656423610752 668145460944 668993331552 719541265632 728558073472 757017373217 779503037768 794429581218 865162712248 887930152044 890860614592 891991108736 907919521392 956232471432 959388354176 977759484576 984635416128 1035918510718 1059239441624 1092837110208 1149755709698 1169254556652 1183906869392 1210559361856 1274976628576 1297744068372 1303679312768 1336290921888 1337986663104 1405889407403 1439082531264 1514034746434 1553877766077 1559006075536 1588859162436 1724633564547 1730325424496 1775860304088 1781721229184 1815839042784 1912464942864 1955518969152 1969270832256 2071837021436 2118478883248 2185674220416 2271052119651 2299511419396 2338509113304 2367813738784 2421118723712 2549953257152 2595488136744 2672581843776 2675973326208 2811778814806 2878165062528 3028069492868 3107755532154 3118012151072 3177718324872 3449267129094 3460650848992 3551720608176 3631678085568 3824929885728 3911037938304 4024144983943 4143674042872 4217668222209 4236957766496 4542104239302 4599022838792 4677018226608 4735627477568 5099906514304 5190976273488 5345163687552 5623557629612 6056138985736 6215511064308 6236024302144 6355436649744 6898534258188 6921301697984 7103441216352 7263356171136 7473412113037 7649859771456 8048289967886 8287348085744 8435336444418 8473915532992 9084208478604 9198045677584 9354036453216 9471254955136 9841225851821 10381952546976 10922679242131 11247115259224 12072434951829 12112277971472 12431022128616 12472048604288 12710873299488 13797068516376 13842603395968 14206882432704 14946824226074 15299719542912 16096579935772 16574696171488 16870672888836 16947831065984 18168416957208 18396091355168 18708072906432 19682451703642 20763905093952 21845358484262 22420236339111 22494230518448 24144869903658 24224555942944 24862044257232 25421746598976 27594137032752 28413764865408 29523677555463 29893648452148 32193159871544 32768037726393 33149392342976 33741345777672 36336833914416 36792182710336 37416145812864 39364903407284 41527810187904 43690716968524 44840472678222 44988461036896 48289739807316 48449111885888 49724088514464 50843493197952 52313884791259 55188274065504 59047355110926 59787296904296 64386319743088 65536075452786 66298784685952 67482691555344 72673667828832 73584365420672 76458754694917 78729806814568 87381433937048 89680945356444 89976922073792 96579479614632 96898223771776 99448177028928 104627769582518 110376548131008 118094710221852 119574593808592 128772639486176 131072150905572 134965383110688 141994830147703 145347335657664 152917509389834 156941654373777 157459613629136 174762867874096 179361890712888 179953844147584 193158959229264 198896354057856 209255539165036 220753096262016 229376264084751 236189420443704 239149187617184 257545278972352 262144301811144 269930766221376 283989660295406 290694671315328 305835018779668 313883308747554 314919227258272 349525735748192 358723781425776 386317918458528 418511078330072 425984490443109 458752528169502 472378840887408 478298375234368 515090557944704 524288603622288 539861532442752 567979320590812 611670037559336 627766617495108 629838454516544 699051471496384 717447562851552 772635836917056 837022156660144 851968980886218 917505056339004 944757681774816 956596750468736 993963811033921 1048577207244576 1135958641181624 1223340075118672 1255533234990216 1259676909033088 1398102942992768 1434895125703104 1545271673834112 1674044313320288 1703937961772436 1835010112678008 1889515363549632 1987927622067842 2097154414489152 2271917282363248 2446680150237344 2511066469980432 2869790251406208 2981891433101763 3348088626640576 3407875923544872 3670020225356016 3779030727099264 3975855244135684 4194308828978304 4543834564726496 4893360300474688 5022132939960864 5963782866203526 6696177253281152 6815751847089744 7340040450712032 7951710488271368 9087669129452992 9786720600949376 10044265879921728 11927565732407052 13631503694179488 14680080901424064 15903420976542736 18175338258905984 20088531759843456 23855131464814104 27263007388358976 29360161802848128 31806841953085472 47710262929628208 54526014776717952 63613683906170944 95420525859256416 127227367812341888 190841051718512832 381682103437025664
• Sum of all divisors σ(n): 1326791184916780800
• Sum of proper divisors (its aliquot sum) s(n): 945109081479755136
• 381682103437025664 is an abundant number, because the sum of its proper divisors (945109081479755136) is greater than itself. Its abundance is 563426978042729472

Bases of 381682103437025664

• Binary: 10101001100000000011101100111010000011111001110000110000000₂
• Hexadecimal: 0x54C01D9D07CE180
• Base-36: 2WE70HOUJ2IO

Squares and roots of 381682103437025664

• 381682103437025664 squared (381682103437025664²) is 145681228084112358191974214994640896
• 381682103437025664 cubed (381682103437025664³) is 55603917566433101198796647290382041693995982015954944
• The square root of 381682103437025664 is 617804259.8080929905
• The cube root of 381682103437025664 is 725382.8202183451

Scales and comparisons

• 381,682,103,437,025,664 seconds is equal to 12,136,310,269 years, 1 week, 5 days, 12 hours, 54 minutes, 24 seconds.
• To count from 1 to 381,682,103,437,025,664 would take you about thirty-six billion, four hundred eight million, nine hundred thirty thousand, eight hundred seven 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 381682103437025664 cubic inches would be around 60448.6 feet tall.

Recreational maths with 381682103437025664

• 381682103437025664 backwards is 466520734301286183
• The number of decimal digits it has is: 18
• The sum of 381682103437025664's digits is 69
• More coming soon!