420928505050586000400
420,928,505,050,586,000,400 is an even composite number composed of six prime numbers multiplied together.
420928505050586000400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 420928505050586000400:
24 × 33 × 52 × 31 × 619 × 2031104360767
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 31 × 619 × 2031104360767)See below for interesting mathematical facts about the number 420928505050586000400 from the Numbermatics database.
Names of 420928505050586000400
- Cardinal: 420928505050586000400 can be written as Four hundred twenty quintillion, nine hundred twenty-eight quadrillion, five hundred five trillion, fifty billion, five hundred eighty-six million, four hundred.
Scientific notation
- Scientific notation: 4.209285050505860004 × 1020
Factors of 420928505050586000400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 2031104361427
Divisors of 420928505050586000400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 36 40 45 48 50 54 60 62 72 75 80 90 93 100 108 120 124 135 144 150 155 180 186 200 216 225 240 248 270 279 300 310 360 372 400 432 450 465 496 540 558 600 619 620 675 720 744 775 837 900 930 1080 1116 1200 1238 1240 1350 1395 1488 1550 1674 1800 1857 1860 2160 2232 2325 2476 2480 2700 2790 3095 3100 3348 3600 3714 3720 4185 4464 4650 4952 5400 5571 5580 6190 6200 6696 6975 7428 7440 8370 9285 9300 9904 10800 11142 11160 12380 12400 13392 13950 14856 15475 16713 16740 18570 18600 19189 20925 22284 22320 24760 27855 27900 29712 30950 33426 33480 37140 37200 38378 41850 44568 46425 49520 55710 55800 57567 61900 66852 66960 74280 76756 83565 83700 89136 92850 95945 111420 111600 115134 123800 133704 139275 148560 153512 167130 167400 172701 185700 191890 222840 230268 247600 267408 278550 287835 307024 334260 334800 345402 371400 383780 417825 445680 460536 479725 518103 557100 575670 668520 690804 742800 767560 835650 863505 921072 959450 1036206 1114200 1151340 1337040 1381608 1439175 1535120 1671300 1727010 1918900 2072412 2228400 2302680 2590515 2763216 2878350 3342600 3454020 3837800 4144824 4317525 4605360 5181030 5756700 6685200 6908040 7675600 8289648 8635050 10362060 11513400 12952575 13816080 17270100 20724120 23026800 25905150 34540200 41448240 51810300 69080400 103620600 207241200 2031104360767 4062208721534 6093313082301 8124417443068 10155521803835 12186626164602 16248834886136 18279939246903 20311043607670 24373252329204 30466565411505 32497669772272 36559878493806 40622087215340 48746504658408 50777609019175 54839817740709 60933130823010 62964235183777 73119756987612 81244174430680 91399696234515 97493009316816 101555218038350 109679635481418 121866261646020 125928470367554 146239513975224 152332827057525 162488348861360 182799392469030 188892705551331 203110436076700 219359270962836 243732523292040 251856940735108 274199088703545 292479027950448 304665654115050 314821175918885 365598784938060 377785411102662 406220872153400 438718541925672 456998481172575 487465046584080 503713881470216 548398177407090 566678116653993 609331308230100 629642351837770 731197569876120 755570822205324 812441744306800 877437083851344 913996962345150 944463527756655 1007427762940432 1096796354814180 1133356233307986 1218662616460200 1257253599314773 1259284703675540 1370995443517725 1462395139752240 1511141644410648 1574105879594425 1700034349961979 1827993924690300 1888927055513310 2193592709628360 2266712466615972 2437325232920400 2514507198629546 2518569407351080 2741990887035450 2833390583269965 3022283288821296 3148211759188850 3400068699923958 3655987849380600 3771760797944319 3777854111026620 4387185419256720 4533424933231944 4722317638783275 5029014397259092 5037138814702160 5483981774070900 5666781166539930 6286267996573865 6296423518377700 6800137399847916 7311975698761200 7543521595888638 7555708222053240 8500171749809895 9066849866463888 9444635277566550 10058028794518184 10967963548141800 11315282393832957 11333562333079860 12572535993147730 12592847036755400 13600274799695832 14166952916349825 15087043191777276 15111416444106480 17000343499619790 18858803989721595 18889270555133100 20116057589036368 21935927096283600 22630564787665914 22667124666159720 25145071986295460 25185694073510800 27200549599391664 28333905832699650 30174086383554552 31431339982869325 33945847181498871 34000686999239580 37717607979443190 37778541110266200 38974861578757963 42500858749049475 45261129575331828 45334249332319440 50290143972590920 56576411969164785 56667811665399300 60348172767109104 62862679965738650 67891694362997742 68001373998479160 75435215958886380 75557082220532400 77949723157515926 85001717498098950 90522259150663656 94294019948607975 100580287945181840 113152823938329570 113335623330798600 116924584736273889 125725359931477300 135783388725995484 136002747996958320 150870431917772760 155899446315031852 169729235907494355 170003434996197900 181044518301327312 188588039897215950 194874307893789815 226305647876659140 226671246661597200 233849169472547778 251450719862954600 271566777451990968 282882059845823925 301740863835545520 311798892630063704 339458471814988710 340006869992395800 350773754208821667 377176079794431900 389748615787579630 452611295753318280 467698338945095556 502901439725909200 543133554903981936 565764119691647850 584622923681369445 623597785260127408 678916943629977420 680013739984791600 701547508417643334 754352159588863800 779497231575159260 848646179537471775 905222591506636560 935396677890191112 974371539468949075 1052321262626465001 1131528239383295700 1169245847362738890 1357833887259954840 1403095016835286668 1508704319177727600 1558994463150318520 1697292359074943550 1753868771044108335 1870793355780382224 1948743078937898150 2104642525252930002 2263056478766591400 2338491694725477780 2715667774519909680 2806190033670573336 2923114618406847225 3117988926300637040 3394584718149887100 3507737542088216670 3897486157875796300 4209285050505860004 4526112957533182800 4676983389450955560 5261606313132325005 5612380067341146672 5846229236813694450 6789169436299774200 7015475084176433340 7794972315751592600 8418570101011720008 8769343855220541675 9353966778901911120 10523212626264650010 11692458473627388900 13578338872599548400 14030950168352866680 15589944631503185200 16837140202023440016 17538687710441083350 21046425252529300020 23384916947254777800 26308031565661625025 28061900336705733360 35077375420882166700 42092850505058600040 46769833894509555600 52616063131323250050 70154750841764333400 84185701010117200080 105232126262646500100 140309501683528666800 210464252525293000200 420928505050586000400
- Sum of all divisors σ(n): 1549020928297970892800
- Sum of proper divisors (its aliquot sum) s(n): 1128092423247384892400
- 420928505050586000400 is an abundant number, because the sum of its proper divisors (1128092423247384892400) is greater than itself. Its abundance is 707163918196798892000
Bases of 420928505050586000400
- Binary: 1011011010001100011100111010100101011001100000110010110101100000100002
- Hexadecimal: 0x16D18E752B3065AC10
- Base-36: 2GU0MLX6Q6DIC0
Squares and roots of 420928505050586000400
- 420928505050586000400 squared (4209285050505860004002) is 177180806364121204047161747436468800160000
- 420928505050586000400 cubed (4209285050505860004003) is 74580451946506892399979501615198600305178470499481280064000000
-
The
square root of 420928505050586000400 is 20516542229.3959173963 -
The
cube root of 420928505050586000400 is 7494386.9412313289
Scales and comparisons
How big is 420928505050586000400?- 420,928,505,050,586,000,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 420,928,505,050,586,000,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 420928505050586000400 cubic inches would be around 624532.2 feet tall.
Recreational maths with 420928505050586000400
- 420928505050586000400 backwards is 004000685050505829024
- The number of decimal digits it has is: 21
- The sum of 420928505050586000400's digits is 63
- More coming soon!
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The information we have on file for 420928505050586000400 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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