428426009505000
428,426,009,505,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 428426009505000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1800 divisors.
428426009505000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 428426009505000:
23 × 32 × 54 × 132 × 314 × 61
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 31 × 31 × 31 × 31 × 61)See below for interesting mathematical facts about the number 428426009505000 from the Numbermatics database.
Names of 428426009505000
- Cardinal: 428426009505000 can be written as Four hundred twenty-eight trillion, four hundred twenty-six billion, nine million, five hundred five thousand.
Scientific notation
- Scientific notation: 4.28426009505 × 1014
Factors of 428426009505000
Divisors of 428426009505000
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 31 36 39 40 45 50 52 60 61 62 65 72 75 78 90 93 100 104 117 120 122 124 125 130 150 155 156 169 180 183 186 195 200 225 234 244 248 250 260 279 300 305 310 312 325 338 360 366 372 375 390 403 450 465 468 488 500 507 520 549 558 585 600 610 620 625 650 676 732 744 750 775 780 793 806 845 900 915 930 936 961 975 1000 1014 1098 1116 1125 1170 1209 1220 1240 1250 1300 1352 1395 1464 1500 1521 1525 1550 1560 1586 1612 1625 1690 1800 1830 1860 1875 1891 1922 1950 2015 2028 2196 2232 2250 2325 2340 2379 2418 2440 2500 2535 2600 2745 2790 2883 2925 3000 3042 3050 3100 3172 3224 3250 3380 3627 3660 3720 3750 3782 3844 3875 3900 3965 4030 4056 4225 4392 4500 4575 4650 4680 4758 4805 4836 4875 5000 5070 5239 5490 5580 5625 5673 5766 5850 6045 6084 6100 6200 6344 6500 6760 6975 7137 7254 7320 7500 7564 7605 7625 7688 7750 7800 7930 8060 8125 8450 8649 9000 9150 9300 9455 9516 9610 9672 9750 10075 10140 10309 10478 10980 11160 11250 11346 11532 11625 11700 11895 12090 12168 12200 12493 12675 13000 13725 13950 14274 14415 14508 14625 15000 15128 15210 15250 15500 15717 15860 16120 16250 16900 17019 17298 18135 18300 18600 18910 19032 19220 19375 19500 19825 20150 20280 20618 20956 21125 21960 22500 22692 22875 23064 23250 23400 23790 24025 24180 24375 24583 24986 25350 26195 27450 27900 28365 28548 28830 29016 29250 29791 30225 30420 30500 30927 31000 31434 31720 32500 33800 34038 34596 34875 35685 36270 36600 37479 37820 38025 38125 38440 38750 39000 39650 40300 41236 41912 42250 43245 45000 45384 45750 46500 47151 47275 47580 48050 48360 48750 49166 49972 50375 50700 51545 52390 54900 55800 56730 57096 57660 58125 58500 58621 59475 59582 60450 60840 61000 61854 62465 62868 63375 65000 68076 68625 69192 69750 71370 72075 72540 73125 73749 74958 75640 76050 76250 77500 78585 79300 80600 82472 84500 85095 86490 89373 90675 91500 92781 93000 94302 94550 95160 96100 97500 98332 99125 99944 100750 101400 103090 104780 105625 109800 112437 113460 114375 115320 116250 117000 117242 118950 119164 120125 120900 122915 123708 124930 125736 126750 130975 136152 137250 139500 141825 142740 144150 145080 146250 147498 148955 149916 151125 152100 152500 154635 155000 157170 158600 162409 169000 170190 172980 174375 175863 178425 178746 181350 183000 185562 187395 188604 189100 190125 192200 195000 196664 198250 201500 206180 209560 211250 216225 221247 224874 226920 228750 232500 234484 235755 236375 237900 238328 240250 241800 245830 247416 249860 251875 253500 257725 261950 268119 274500 279000 283650 285480 288300 292500 293105 294996 297375 297910 299832 302250 304200 305000 309270 312325 314340 316875 319579 324818 340380 343125 345960 348750 351726 356850 357492 360375 362700 368745 371124 374790 377208 378200 380250 387283 392925 396500 403000 412360 422500 425475 432450 442494 446865 449748 453375 457500 463905 465000 468968 471510 472750 475800 480500 487227 491660 495625 499720 503750 507000 515450 523900 527589 536238 549000 562185 567300 576600 585000 586210 589992 594750 595820 600625 604500 614575 618540 624650 628680 633750 639158 649636 654875 680760 686250 697500 703452 709125 713700 714984 720750 725400 737490 742248 744775 749580 755625 760500 762073 773175 774566 785850 793000 812045 845000 850950 864900 879315 884988 892125 893730 899496 906750 915000 923521 927810 936975 943020 945500 950625 958737 961000 974454 983320 991250 1007500 1030900 1047800 1055178 1072476 1081125 1106235 1124370 1134600 1161849 1172420 1178775 1181875 1189500 1191640 1201250 1209000 1229150 1237080 1249300 1267500 1278316 1288625 1299272 1309750 1340595 1372500 1395000 1406904 1418250 1427400 1441500 1461681 1465525 1474980 1486875 1489550 1499160 1511250 1521000 1524146 1546350 1549132 1561625 1571700 1597895 1624090 1701900 1729800 1758630 1769976 1784250 1787460 1801875 1813500 1817251 1843725 1847042 1855620 1873950 1886040 1891000 1901250 1917474 1936415 1948908 1964625 1982500 2015000 2061800 2110356 2127375 2144952 2162250 2212470 2234325 2248740 2266875 2286219 2319525 2323698 2344840 2357550 2363750 2379000 2402500 2436135 2458300 2498600 2535000 2556632 2577250 2619500 2637945 2681190 2745000 2770563 2810925 2836500 2876211 2883000 2923362 2931050 2949960 2973750 2979100 3022500 3048292 3072875 3092700 3098264 3123250 3143400 3195790 3248180 3274375 3403800 3485547 3517260 3545625 3568500 3574920 3603750 3627000 3634502 3687450 3694084 3711240 3723875 3747900 3802500 3810365 3834948 3865875 3872830 3897816 3929250 3965000 4060225 4220712 4254750 4324500 4396575 4424940 4460625 4468650 4497480 4533750 4572438 4617605 4639050 4647396 4684875 4715100 4727500 4793685 4805000 4872270 4916600 5034679 5154500 5239000 5275890 5362380 5405625 5451753 5531175 5541126 5621850 5673000 5752422 5809245 5846724 5862100 5893875 5947500 5958200 6045000 6096584 6145750 6185400 6246500 6391580 6443125 6496360 6548750 6702975 6858657 6971094 7034520 7091250 7137000 7207500 7269004 7308405 7327625 7374900 7388168 7447750 7495800 7605000 7620730 7669896 7731750 7745660 7808125 7858500 7989475 8120450 8311689 8509500 8649000 8793150 8849880 8921250 8937300 9067500 9086255 9144876 9218625 9235210 9278100 9294792 9369750 9430200 9455000 9587370 9682075 9744540 9823125 9906949 10069358 10309000 10551780 10636875 10724760 10811250 10903506 11062350 11082252 11171625 11243700 11431095 11504844 11597625 11618490 11693448 11724200 11787750 11895000 12005773 12180675 12291500 12493000 12783160 12886250 13097500 13189725 13405950 13717314 13852815 13942188 14054625 14182500 14381055 14415000 14538008 14616810 14655250 14749800 14895500 15104037 15241460 15364375 15463500 15491320 15616250 15717000 15978950 16240900 16355259 16623378 17019000 17427735 17586300 17842500 17874600 18135000 18172510 18289752 18437250 18470420 18556200 18619375 18739500 19051825 19174740 19329375 19364150 19489080 19646250 19813898 20138716 20301125 21103560 21273750 21622500 21807012 21982875 22124700 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63915800 65421036 65948625 66493512 67029750 68586570 69264075 69710940 70273125 70872789 71905275 72034638 72690040 73084050 73276250 73749000 74477500 75520185 76207300 77317500 77456600 78585000 79255592 79894750 81204500 81776295 83116890 85095000 87138675 87931500 89162541 89373000 90624222 90862550 91448760 92186250 92352100 92781000 93697500 94497052 95259125 95873700 96046184 96820750 97445400 99069490 100693580 101505625 105517800 108051957 109035060 109914375 110623500 110822520 111716250 112437000 112669562 114310950 115048440 115440125 115976250 116184900 117877500 118121315 118883388 119842125 120057730 120832296 121806750 122915000 125866975 130842072 131897250 134059500 136293825 137173140 138279375 138528150 139421880 140546250 141745578 143810550 144069276 145231125 146168100 146552500 148604235 148955000 151040370 152414600 154635000 156075049 159789500 162409000 163552590 166233780 167574375 169004343 171466425 174277350 175863000 178325082 180086595 181248444 181725100 182710125 184372500 184704200 187395000 188994104 190518250 191747400 193641500 198138980 199736875 201387160 203011250 207792225 212618367 216103914 218070120 219828750 221247000 223432500 225339124 226560555 227156375 228621900 230880250 231952500 232369800 235755000 236242630 237766776 239684250 240115460 242051875 243613500 247673725 251733950 263794500 268119000 272587650 274346280 276558750 277056300 281092500 281673905 283491156 285777375 287621100 288138552 290462250 292336200 293105000 297208470 300144325 302080740 304516875 307115419 312150098 319579000 327105180 329743125 332467560 335148750 338008686 342932850 346320375 348554700 354363945 356650164 359526375 360173190 362496888 363450200 365420250 368745000 377600925 381036500 387283000 396277960 399473750 406022500 408881475 415584450 425236734 432207828 435693375 439657500 445812705 446865000 450678248 453121110 454312750 457243800 461760500 463905000 468225147 472485260 476295625 479368500 480230920 484103750 487227000 495347450 503467900 507013029 527589000 540259785 545175300 553117500 554112600 562185000 563347810 566982312 571554750 575242200 577200625 580924500 590606575 594416940 599210625 600288650 604161480 609033750 614230838 624300196 629334875 654210360 659486250 670297500 676017372 681469125 685865700 692640750 697109400 708727890 713300328 719052750 720346380 726155625 730840500 732352153 743021175 755201850 762073000 780375245 798947500 812045000 817762950 831168900 845021715 850473468 857332125 864415656 871386750 879315000 891625410 900432975 906242220 908625500 913550625 921346257 923521000 936450294 944970520 952591250 958737000 968207500 990694900 1006935800 1014026058 1038961125 1063091835 1080519570 1090350600 1106235000 1126695620 1132802775 1135781875 1143109500 1154401250 1161849000 1181213150 1188833880 1198421250 1200577300 1218067500 1228461676 1238368625 1248600392 1258669750 1318972500 1340595000 1352034744 1362938250 1371731400 1385281500 1404675441 1408369525 1417455780 1428886875 1438105500 1440692760 1452311250 1461681000 1464704306 1486042350 1500721625 1510403700 1535577095 1560750490 1597895000 1635525900 1662337800 1690043430 1700946936 1714664250 1731601875 1742773500 1771819725 1783250820 1797631875 1800865950 1812484440 1817251000 1827101250 1842692514 1872900588 1888004625 1905182500 1936415000 1981389800 2028052116 2044407375 2077922250 2126183670 2161039140 2178466875 2197056459 2229063525 2253391240 2265605550 2271563750 2286219000 2308802500 2341125735 2362426300 2396842500 2401154600 2436135000 2456923352 2476737250 2517339500 2535065145 2637945000 2701298925 2725876500 2764038771 2770563000 2809350882 2816739050 2834911560 2857773750 2876211000 2904622500 2929408612 2953032875 2972084700 3001443250 3020807400 3071154190 3121500980 3146674375 3271051800 3380086860 3407345625 3429328500 3463203750 3485547000 3543639450 3566501640 3595263750 3601731900 3654202500 3661760765 3685385028 3715105875 3745801176 3776009250 3810365000 3901876225 4056104232 4088814750 4155844500 4225108575 4252367340 4286660625 4322078280 4356933750 4394112918 4458127050 4502164875 4531211100 4543127500 4606731285 4617605000 4682251470 4724852600 4793685000 4953474500 5034679000 5070130290 5194805625 5315459175 5402597850 5451753000 5528077542 5618701764 5633478100 5664013875 5715547500 5809245000 5858817224 5906065750 5944169400 6002886500 6142308380 6191843125 6243001960 6293348750 6591169377 6760173720 6814691250 6858657000 6926407500 7023377205 7041847625 7087278900 7190527500 7203463800 7308405000 7323521530 7370770056 7430211750 7503608125 7552018500 7677885475 7803752450 8177629500 8311689000 8450217150 8504734680 8573321250 8713867500 8788225836 8859098625 8916254100 9004329750 9062422200 9086255000 9213462570 9364502940 9440023125 9520577989 9906949000 10140260580 10222036875 10389611250 10630918350 10805195700 10985282295 11056155084 11145317625 11237403528 11266956200 11328027750 11431095000 11705628675 11812131500 12005773000 12284616760 12383686250 12586697500 12675325725 13182338754 13506494625 13629382500 13820193855 13852815000 14046754410 14083695250 14174557800 14381055000 14647043060 14765164375 14860423500 15007216250 15104037000 15355770950 15607504900 16355259000 16900434300 17146642500 17427735000 17576451672 17718197250 17832508200 18008659500 18308803825 18426925140 18575529375 18729005880 18880046250 19041155978 19509381125 20280521160 20444073750 20779222500 21125542875 21261836700 21610391400 21970564590 22112310168 22290635250 22510824375 22656055500 23033656425 23411257350 23624263000 24767372500 25173395000 25350651450 26364677508 26577295875 27012989250 27258765000 27640387710 28093508820 28167390500 28320069375 28561733967 29294086120 29530328750 29720847000 30014432500 30711541900 31215009800 32955846885 33800868600 34293285000 35116886025 35209238125 35436394500 36017319000 36617607650 36853850280 37151058750 37760092500 38082311956 38389427375 39018762250 40888147500 41558445000 42251085750 42523673400 43941129180 44295493125 44581270500 45021648750 45312111000 46067312850 46822514700 47602889945 49534745000 50701302900 52729355016 53154591750 54025978500 54926411475 55280775420 55726588125 56187017640 56334781000 56640138750 57123467934 58528143375 59060657500 60028865000 61423083800 63376628625 65911693770 67532473125 69100969275 70233772050 70418476250 70872789000 73235215300 74302117500 75520185000 76164623912 76778854750 78037524500 81776295000 84502171500 85685201901 87882258360 88590986250 89162541000 90043297500 91544019125 92134625700 93645029400 95205779890 97546905625 101402605800 105627714375 106309183500 108051957000 109852822950 110561550840 111453176250 113280277500 114246935868 115168282125 117056286750 118121315000 126753257250 131823387540 132886479375 135064946250 138201938550 140467544100 140836952500 142808669835 146470430600 148604235000 153557709500 156075049000 164779234425 169004343000 171370403802 175584430125 177181972500 180086595000 183088038250 184269251400 190411559780 191947136875 195093811250 211255428750 212618367000 219705645900 222906352500 226560555000 228493871736 230336564250 234112573500 238014449725 253506514500 263646775080 265772958750 270129892500 274632057375 276403877100 280935088200 281673905000 285617339670 292640716875 307115419000 316883143125 329558468850 342740807604 345504846375 351168860250 354363945000 366176076500 380823119560 383894273750 390187622500 422510857500 428426009505 439411291800 445812705000 457720095625 460673128500 468225147000 476028899450 507013029000 531545917500 540259785000 549264114750 552807754200 571234679340 575841410625 585281433750 633766286250 659116937700 685481615208 691009692750 702337720500 714043349175 732352153000 767788547500 780375245000 823896172125 845021715000 856852019010 877922150625 915440191250 921346257000 952057798900 1063091835000 1098528229500 1142469358680 1151682821250 1170562867500 1190072248625 1267532572500 1318233875400 1373160286875 1382019385500 1404675441000 1428086698350 1535577095000 1647792344250 1713704038020 1727524231875 1755844301250 1830880382500 1904115597800 2142130047525 2197056459000 2303365642500 2341125735000 2380144497250 2535065145000 2746320573750 2764038771000 2856173396700 3295584688500 3427408076040 3455048463750 3511688602500 3570216745875 3661760765000 4119480860625 4284260095050 4606731285000 4760288994500 5492641147500 5712346793400 5950361243125 6591169377000 6910096927500 7023377205000 7140433491750 8238961721250 8568520190100 9520577989000 10710650237625 10985282295000 11900722486250 13820193855000 14280866983500 16477923442500 17137040380200 17851083729375 21421300475250 23801444972500 28561733967000 32955846885000 35702167458750 42842600950500 47602889945000 53553251188125 71404334917500 85685201901000 107106502376250 142808669835000 214213004752500 428426009505000
- Sum of all divisors σ(n): 1648980894196350
- Sum of proper divisors (its aliquot sum) s(n): 1220554884691350
- 428426009505000 is an abundant number, because the sum of its proper divisors (1220554884691350) is greater than itself. Its abundance is 792128875186350
Bases of 428426009505000
- Binary: 11000010110100110101101000001101111101100111010002
- Hexadecimal: 0x185A6B41BECE8
- Base-36: 47V46WFE20
Squares and roots of 428426009505000
- 428426009505000 squared (4284260095050002) is 183548845620378350345025000000
- 428426009505000 cubed (4284260095050003) is 78637099478387992746613900679462625000000000
-
The
square root of 428426009505000 is 20698454.2781580673 -
The
cube root of 428426009505000 is 75386.2157223479
Scales and comparisons
How big is 428426009505000?- 428,426,009,505,000 seconds is equal to 13,622,621 years, 46 weeks, 3 days, 6 hours, 30 minutes.
-
To count from 1 to 428,426,009,505,000 would take you about thirty-four million, fifty-six thousand, five hundred fifty-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 428426009505000 cubic inches would be around 6282.2 feet tall.
Recreational maths with 428426009505000
- 428426009505000 backwards is 000505900624824
- 428426009505000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428426009505000's digits is 45
- More coming soon!
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"Number 428426009505000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 428426009505000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/428426009505000/
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The information we have on file for 428426009505000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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