428038515466584064

Names of 428038515466584064

• Cardinal: 428038515466584064 can be written as Four hundred twenty-eight quadrillion, thirty-eight trillion, five hundred fifteen billion, four hundred sixty-six million, five hundred eighty-four thousand and sixty-four.

Scientific notation

• Scientific notation: 4.28038515466584064 × 10¹⁷

Factors of 428038515466584064

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 1313

Divisors of 428038515466584064

• Number of divisors d(n): 1080
• Complete list of divisors:
  1 2 4 7 8 14 16 23 28 32 41 46 53 56 64 82 92 106 112 128 161 164 184 212 224 256 287 322 328 368 371 424 448 512 574 644 656 736 742 848 896 943 1024 1148 1187 1219 1288 1312 1472 1484 1696 1792 1886 2048 2173 2296 2374 2438 2576 2624 2809 2944 2968 3392 3584 3772 4096 4346 4592 4748 4876 5152 5248 5618 5888 5936 6601 6784 7168 7544 8192 8309 8533 8692 9184 9496 9752 10304 10496 11236 11776 11872 13202 13568 14336 15088 15211 16384 16618 17066 17384 18368 18992 19504 19663 20608 20992 22472 23552 23744 26404 27136 27301 28672 30176 30422 33236 34132 34768 36736 37984 39008 39326 41216 41984 44944 47104 47488 48667 49979 52808 54272 54602 57344 60352 60844 62911 64607 66472 68264 69536 73472 75968 78016 78652 82432 83968 89888 94208 94976 97334 99958 105616 108544 109204 114688 115169 120704 121688 125822 129214 132944 136528 139072 146944 151936 156032 157304 164864 167936 179776 188416 189952 191107 194668 199916 211232 217088 218408 230338 241408 243376 251644 258428 265888 273056 278144 293888 303872 312064 314608 329728 335872 340669 349853 359552 376832 379904 382214 389336 399832 422464 434176 436816 440377 452249 460676 482816 486752 503288 516856 531776 546112 556288 587776 607744 624128 629216 659456 671744 681338 699706 719104 759808 764428 778672 799664 806183 844928 868352 873632 880754 904498 921352 965632 973504 1006576 1033712 1063552 1092224 1112576 1119341 1175552 1215488 1248256 1258432 1318912 1362676 1399412 1408969 1438208 1446953 1519616 1528856 1557344 1599328 1612366 1689856 1747264 1761508 1808996 1842704 1931264 1947008 2013152 2067424 2127104 2184448 2225152 2238682 2351104 2430976 2496512 2516864 2579351 2637824 2648887 2725352 2798824 2817938 2876416 2893906 3039232 3057712 3114688 3198656 3224732 3334283 3379712 3494528 3523016 3617992 3685408 3862528 3894016 4026304 4134848 4254208 4368896 4450304 4477364 4702208 4861952 4993024 5033728 5158702 5297774 5450704 5597648 5635876 5752832 5787812 6078464 6115424 6229376 6397312 6449464 6668566 6759424 6989056 7046032 7235984 7370816 7725056 7788032 7835387 8052608 8269696 8508416 8737792 8900608 8954728 9723904 9862783 9986048 10067456 10128671 10317404 10595548 10901408 11195296 11271752 11505664 11575624 12230848 12458752 12794624 12898928 13337132 13518848 13978112 14092064 14471968 14741632 15450112 15576064 15670774 16105216 16539392 17016832 17475584 17801216 17909456 18055457 18542209 19447808 19725566 19972096 20134912 20257342 20634808 21191096 21802816 22390592 22543504 23011328 23151248 23339981 24461696 24917504 25589248 25797856 26674264 27037696 27956224 28184128 28943936 29483264 31152128 31341548 32210432 32406287 33078784 34033664 34951168 35602432 35818912 36110914 37084418 39451132 40269824 40514684 41269616 42382192 43605632 44781184 45087008 46022656 46302496 46679962 48923392 49835008 51178496 51595712 53348528 54075392 55912448 56368256 57767729 57887872 58966528 59325073 62304256 62683096 64420864 64812574 66157568 68067328 69902336 71637824 72221828 74168836 74675357 76688509 78902264 80539648 81029368 82539232 84764384 87211264 89562368 90174016 92604992 93359924 97846784 99670016 102356992 103191424 106697056 108150784 111824896 112736512 115535458 115775744 117933056 118650146 124608512 125366192 128841728 129625148 132315136 136134656 136705603 139804672 143275648 144443656 148337672 149350714 153377018 157804528 161079296 162058736 165078464 169528768 174422528 179124736 180348032 185209984 186719848 195693568 199340032 204713984 206382848 213394112 223649792 225473024 226844009 231070916 231551488 235866112 237300292 249217024 250732384 257683456 259250296 264630272 273411206 286551296 288887312 296675344 298701428 306754036 315609056 322158592 324117472 330156928 339057536 348845056 358249472 360696064 370419968 373439696 391387136 398680064 404374103 409427968 412765696 415275511 426788224 447299584 450946048 453688018 462141832 463102976 471732224 474600584 501464768 515366912 518500592 522727499 529260544 536819563 546822412 573102592 577774624 593350688 597402856 613508072 631218112 648234944 660313856 678115072 697690112 716498944 721392128 740839936 746879392 782774272 797360128 808748206 818855936 825531392 830551022 853576448 901892096 907376036 924283664 926205952 943464448 949201168 956939221 1002929536 1030733824 1037001184 1045454998 1058521088 1073639126 1093644824 1146205184 1155549248 1186701376 1194805712 1227016144 1262436224 1296469888 1320627712 1328657767 1356230144 1395380224 1432997888 1442784256 1481679872 1493758784 1565548544 1617496412 1651062784 1661102044 1707152896 1717533211 1803784192 1814752072 1848567328 1852411904 1886928896 1898402336 1913878442 2005859072 2074002368 2090909996 2147278252 2187289648 2292410368 2311098496 2373402752 2389611424 2454032288 2524872448 2592939776 2641255424 2657315534 2712460288 2790760448 2865995776 2885568512 2963359744 2987517568 3061689637 3131097088 3144228869 3234992824 3302125568 3322204088 3414305792 3435066422 3607568384 3629504144 3697134656 3704823808 3796804672 3827756884 3957793921 4011718144 4148004736 4181819992 4294556504 4374579296 4584820736 4622196992 4746805504 4779222848 4908064576 5049744896 5185879552 5282510848 5314631068 5424920576 5581520896 5731991552 5771137024 5926719488 5975035136 6123379274 6288457738 6469985648 6604251136 6644408176 6828611584 6870132844 7215136768 7259008288 7394269312 7409647616 7593609344 7655513768 7915587842 8023436288 8296009472 8363639984 8589113008 8749158592 9169641472 9244393984 9300604369 9493611008 9558445696 9816129152 10099489792 10371759104 10565021696 10629262136 10849841152 11542274048 11853438976 11950070272 12022732477 12246758548 12576915476 12939971296 13208502272 13288816352 13657223168 13740265688 14518016576 14788538624 15187218688 15311027536 15831175684 16046872576 16592018944 16727279968 17178226016 17498317184 18339282944 18488787968 18601208738 18987222016 19116891392 19632258304 20198979584 20743518208 21130043392 21258524272 21431827459 21699682304 22009602083 23084548096 23706877952 23900140544 24045464954 24493517096 25153830952 25879942592 26577632704 27314446336 27480531376 27704557447 29036033152 29577077248 30374437376 30622055072 31662351368 32093745152 33184037888 33454559936 34356452032 34996634368 36977575936 37202417476 37974444032 38233782784 39264516608 40397959168 41487036416 42260086784 42517048544 42863654918 43399364608 44019204166 47800281088 48090929908 48987034192 50307661904 51759885184 53155265408 54628892672 54961062752 55409114894 58072066304 59154154496 60748874752 61244110144 63324702736 64187490304 66368075776 66909119872 68712904064 69993268736 70418861651 73955151872 74404834952 75948888064 76467565568 78529033216 80795918336 82974072832 85034097088 85727309836 88038408332 91029260183 95600562176 96181859816 97974068384 100615323808 103519770368 106310530816 109922125504 110818229788 116144132608 118308308992 121497749504 122488220288 126649405472 128374980608 132736151552 133818239744 137425808128 139986537472 140837723302 147910303744 148809669904 151897776128 152935131136 157058066432 161591836672 162269550761 165948145664 170068194176 171454619672 176076816664 182058520366 191201124352 192363719632 195948136768 201230647616 207039540736 212621061632 219844251008 221636459576 232288265216 236616617984 242995499008 244976440576 253298810944 265472303104 267636479488 274851616256 279973074944 281675446604 295820607488 297619339808 303795552256 305870262272 314116132864 324539101522 340136388352 342909239344 352153633328 364117040732 382402248704 384727439264 391896273536 402461295232 414079081472 425242123264 439688502016 443272919152 464576530432 473233235968 485990998016 489952881152 492932031557 506597621888 530944606208 535272958976 549703232512 559946149888 563350893208 595238679616 611740524544 628232265728 637204821281 649078203044 680272776704 685818478688 704307266656 728234081464 769454878528 783792547072 804922590464 828158162944 850484246528 879377004032 886545838304 929153060864 946466471936 971981996032 979905762304 985864063114 1013195243776 1070545917952 1099406465024 1119892299776 1126701786416 1135886855327 1190477359232 1223481049088 1256464531456 1274409642562 1298156406088 1360545553408 1371636957376 1408614533312 1456468162928 1538909757056 1567585094144 1609845180928 1656316325888 1700968493056 1758754008064 1773091676608 1858306121728 1959811524608 1971728126228 2026390487552 2141091835904 2198812930048 2239784599552 2253403572832 2271773710654 2380954718464 2548819285124 2596312812176 2721091106816 2743273914752 2817229066624 2912936325856 3077819514112 3135170188288 3219690361856 3312632651776 3401936986112 3517508016128 3546183353216 3716612243456 3732199667503 3919623049216 3943456252456 4052780975104 4282183671808 4397625860096 4506807145664 4543547421308 4761909436928 5097638570248 5192625624352 5442182213632 5486547829504 5634458133248 5825872651712 6155639028224 6270340376576 6439380723712 6625265303552 6803873972224 7035016032256 7092366706432 7464399335006 7839246098432 7886912504912 8105561950208 8564367343616 8795251720192 9013614291328 9087094842616 9523818873856 10195277140496 10385251248704 10884364427264 10973095659008 11268916266496 11651745303424 12311278056448 12540680753152 12878761447424 14070032064512 14184733412864 14928798670012 15678492196864 15773825009824 16211123900416 18027228582656 18174189685232 19047637747712 20390554280992 20770502497408 21768728854528 21946191318016 22537832532992 23303490606848 24622556112896 25081361506304 25757522894848 26125397672521 28140064129024 28369466825728 29857597340024 31547650019648 32422247800832 36054457165312 36348379370464 38095275495424 40781108561984 41541004994816 43892382636032 45075665065984 46606981213696 49245112225792 50162723012608 51515045789696 52250795345042 56738933651456 59715194680048 63095300039296 64844495601664 72108914330624 72696758740928 76190550990848 81562217123968 83082009989632 87784765272064 90151330131968 93213962427392 98490224451584 104501590690084 113477867302912 119430389360096 126190600078592 144217828661248 145393517481856 152381101981696 163124434247936 166164019979264 175569530544128 180302660263936 186427924854784 196980448903168 209003181380168 226955734605824 238860778720192 252381200157184 288435657322496 290787034963712 326248868495872 332328039958528 351139061088256 360605320527872 372855849709568 418006362760336 453911469211648 477721557440384 504762400314368 576871314644992 581574069927424 652497736991744 664656079917056 745711699419136 836012725520672 955443114880768 1009524800628736 1153742629289984 1163148139854848 1304995473983488 1329312159834112 1491423398838272 1672025451041344 1910886229761536 2019049601257472 2326296279709696 2609990947966976 2658624319668224 3344050902082688 3821772459523072 4038099202514944 4652592559419392 5219981895933952 6688101804165376 7643544919046144 8076198405029888 9305185118838784 10439963791867904 13376203608330752 15287089838092288 18610370237677568 26752407216661504 30574179676184576 53504814433323008 61148359352369152 107009628866646016 214019257733292032 428038515466584064
• Sum of all divisors σ(n): 1066782827025998208
• Sum of proper divisors (its aliquot sum) s(n): 638744311559414144
• 428038515466584064 is an abundant number, because the sum of its proper divisors (638744311559414144) is greater than itself. Its abundance is 210705796092830080

Bases of 428038515466584064

• Binary: 10111110000101100101100001100010000100100100100000000000000₂
• Hexadecimal: 0x5F0B2C310924000
• Base-36: 392MZNDTU70G

Squares and roots of 428038515466584064

• 428038515466584064 squared (428038515466584064²) is 183216970722837124972150608778756096
• 428038515466584064 cubed (428038515466584064³) is 78423920156487798353579126317586640743103536136454144
• The square root of 428038515466584064 is 654246524.9938925459
• The cube root of 428038515466584064 is 753634.8093665321

Scales and comparisons

• 428,038,515,466,584,064 seconds is equal to 13,610,300,781 years, 40 weeks, 2 days, 22 hours, 41 minutes, 4 seconds.
• To count from 1 to 428,038,515,466,584,064 would take you about forty billion, eight hundred thirty million, nine hundred two thousand, three hundred forty-five 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 428038515466584064 cubic inches would be around 62802.9 feet tall.

Recreational maths with 428038515466584064

• 428038515466584064 backwards is 460485664515830824
• The number of decimal digits it has is: 18
• The sum of 428038515466584064's digits is 79
• More coming soon!