428725827195411984

Names of 428725827195411984

• Cardinal: 428725827195411984 can be written as Four hundred twenty-eight quadrillion, seven hundred twenty-five trillion, eight hundred twenty-seven billion, one hundred ninety-five million, four hundred eleven thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 4.28725827195411984 × 10¹⁷

Factors of 428725827195411984

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 37613

Divisors of 428725827195411984

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 29 41 42 48 56 58 82 84 87 112 116 123 164 168 174 203 232 246 287 328 336 348 406 464 492 574 609 656 696 812 861 984 1148 1189 1218 1392 1624 1722 1968 2296 2378 2436 3248 3444 3567 4592 4756 4872 5953 6888 7134 7481 8323 9512 9744 11906 13776 14268 14962 16646 17859 19024 22443 23812 24097 24969 28536 29924 33292 35718 41671 44886 47624 48194 49938 52367 57072 59848 66584 71436 72291 83342 89772 95248 96388 99876 104734 119696 125013 133168 142872 144582 157101 166684 168679 172637 179544 192776 199752 209468 216949 244073 250026 285744 289164 306721 314202 333368 337358 345274 359088 385552 399504 418936 433898 488146 500052 506037 517911 578328 613442 628404 650847 666736 674716 690548 698813 732219 837872 867796 920163 976292 987977 1000104 1012074 1035822 1156656 1208459 1226884 1256808 1301694 1349432 1381096 1397626 1464438 1518643 1708511 1735592 1840326 1952584 1975954 2000208 2024148 2071644 2096439 2147047 2416918 2453768 2513616 2603388 2698864 2762192 2795252 2928876 2963931 3037286 3417022 3471184 3625377 3680652 3905168 3951908 4048296 4143288 4192878 4294094 4555929 4833836 4891691 4907536 5125533 5206776 5590504 5857752 5927862 6074572 6441141 6834044 6915839 7078117 7250754 7361304 7903816 8096592 8286576 8385756 8588188 8894909 9111858 9667672 9783382 10251066 10413552 11181008 11715504 11855724 12149144 12882282 13668088 13831678 14156234 14501508 14675073 14722608 15807632 16771512 17176376 17789818 18223716 19335344 19566764 20502132 20747517 21234351 23711448 24298288 25764564 26684727 27336176 27663356 28312468 28651333 29003016 29350146 33543024 34352752 35579636 36447432 39133528 41004264 41495034 42468702 44534393 47422896 49546819 51529128 53369454 55326712 56624936 57302666 58006032 58700292 62264363 71159272 72894864 78267056 82008528 82990068 84937404 85953999 89068786 99093638 103058256 106738908 110653424 113249872 114605332 117400584 124528726 133603179 142318544 143449441 148640457 165980136 169874808 171907998 178137572 180269657 186793089 198187276 200559331 213477816 229210664 234801168 249057452 267206358 286898882 297280914 311740751 331960272 339749616 343815996 356275144 360539314 373586178 396374552 401118662 426955632 430348323 458421328 498114904 534412716 540808971 573797764 594561828 601677993 623481502 687631992 712550288 721078628 747172356 792749104 802237324 860696646 935222253 996229808 1004146087 1068825432 1081617942 1147595528 1189123656 1203355986 1246963004 1261887599 1291497397 1375263984 1442157256 1494344712 1604474648 1721393292 1825910113 1870444506 2008292174 2137650864 2163235884 2295191056 2378247312 2406711972 2493926008 2523775198 2582994794 2884314512 2988689424 3012438261 3208949296 3442786584 3651820226 3740889012 3785662797 3874492191 4016584348 4160033789 4326471768 4813423944 4987852016 5047550396 5165989588 5227820053 5477730339 5881427081 6024876522 6885573168 7303640452 7391055937 7481778024 7571325594 7748984382 8033168696 8320067578 8652943536 9040481779 9626847888 10095100792 10331979176 10455640106 10955460678 11762854162 12049753044 12480101367 12781370791 14607280904 14782111874 14963556048 15142651188 15497968764 15683460159 16066337392 16640135156 17644281243 18080963558 20190201584 20663958352 20911280212 21910921356 22173167811 23525708324 24099506088 24960202734 25562741582 27121445337 29120236523 29214561808 29564223748 30285302376 30995937528 31366920318 33280270312 35288562486 36161927116 36594740371 38344112373 41169989567 41822560424 43821842712 44346335622 47051416648 48199012176 49920405468 51125483164 51737391559 52951393277 54242890674 58240473046 59128447496 60570604752 61991875056 62733840636 66560540624 70577124972 72323854232 73189480742 76688224746 82339979134 83645120848 87360709569 87643685424 88692671244 94102833296 99840810936 102250966328 103474783118 105902786554 108485781348 109784221113 116480946092 118256894992 123509968701 125467681272 141154249944 144647708464 146378961484 153376449492 155212174677 158854179831 164679958268 170561385349 174721419138 177385342488 199681621872 204501932656 206949566236 211805573108 214340622173 216971562696 219568442226 232961892184 247019937402 250935362544 282308499888 292757922968 306752898984 310424349354 317708359662 329359916536 341122770698 349442838276 354770684976 370659752939 413899132472 423611146216 428681244346 433943125392 439136884452 465923784368 494039874804 511684156047 585515845936 613505797968 620848698708 635416719324 643021866519 658719833072 682245541396 698885676552 741319505878 827798264944 847222292432 857362488692 878273768904 988079749608 1023368312094 1073145268121 1111979258817 1193929697443 1241697397416 1270833438648 1286043733038 1364491082792 1397771353104 1482639011756 1500384355211 1714724977384 1756547537808 1976159499216 2046736624188 2146290536242 2223958517634 2387859394886 2483394794832 2541666877296 2572087466076 2728982165584 2965278023512 3000768710422 3219435804363 3429449954768 3581789092329 4093473248376 4292581072484 4447917035268 4501153065633 4775718789772 5144174932152 5930556047024 6001537420844 6438871608726 7163578184658 7512016876847 8186946496752 8585162144968 8895834070536 9002306131266 9551437579544 10288349864304 12003074841688 12877743217452 14327156369316 15024033753694 17170324289936 17791668141072 18004612262532 19102875159088 22536050630541 24006149683376 25755486434904 28654312738632 30048067507388 31121212775509 36009224525064 43998955992961 45072101261082 51510972869808 57308625477264 60096135014776 62242425551018 72018449050128 87997911985922 90144202522164 93363638326527 120192270029552 124484851102036 131996867978883 175995823971844 180288405044328 186727276653054 217848489428563 248969702204072 263993735957766 307992691950727 351991647943688 360576810088656 373454553306108 435696978857126 497939404408144 527987471915532 615985383901454 653545468285689 703983295887376 746909106612216 871393957714252 923978075852181 1055974943831064 1231970767802908 1275969723795869 1307090936571378 1493818213224432 1742787915428504 1847956151704362 2111949887662128 2463941535605816 2551939447591738 2614181873142756 3485575830857008 3695912303408724 3827909171387607 4927883071211632 5103878895183476 5228363746285512 7391824606817448 7655818342775214 8931788066571083 10207757790366952 10456727492571024 14783649213634896 15311636685550428 17863576133142166 20415515580733904 26795364199713249 30623273371100856 35727152266284332 53590728399426498 61246546742201712 71454304532568664 107181456798852996 142908609065137328 214362913597705992 428725827195411984
• Sum of all divisors σ(n): 1341806067845268480
• Sum of proper divisors (its aliquot sum) s(n): 913080240649856496
• 428725827195411984 is an abundant number, because the sum of its proper divisors (913080240649856496) is greater than itself. Its abundance is 484354413454444512

Bases of 428725827195411984

• Binary: 10111110011001000111101111001001100000001001001111000010000₂
• Hexadecimal: 0x5F323DE4C049E10
• Base-36: 399EME17BIMO

Squares and roots of 428725827195411984

• 428725827195411984 squared (428725827195411984²) is 183805834904390257930407379490816256
• 428725827195411984 cubed (428725827195411984³) is 78802308612728042131400562831555678213185026364411904
• The square root of 428725827195411984 is 654771583.9859057171
• The cube root of 428725827195411984 is 754037.9701621747

Scales and comparisons

• 428,725,827,195,411,984 seconds is equal to 13,632,155,168 years, 39 weeks, 3 days, 9 hours, 6 minutes, 24 seconds.
• To count from 1 to 428,725,827,195,411,984 would take you about forty billion, eight hundred ninety-six million, four hundred sixty-five thousand, five hundred six 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 428725827195411984 cubic inches would be around 62836.5 feet tall.

Recreational maths with 428725827195411984

• 428725827195411984 backwards is 489114591728527824
• 428725827195411984 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 428725827195411984's digits is 87
• More coming soon!