428424012218368000
428,424,012,218,368,000 is an even composite number composed of four prime numbers multiplied together.
428424012218368000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 428424012218368000:
217 × 53 × 232 × 3673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 23 × 23 × 367 × 367 × 367)See below for interesting mathematical facts about the number 428424012218368000 from the Numbermatics database.
Names of 428424012218368000
- Cardinal: 428424012218368000 can be written as Four hundred twenty-eight quadrillion, four hundred twenty-four trillion, twelve billion, two hundred eighteen million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.28424012218368 × 1017
Factors of 428424012218368000
Divisors of 428424012218368000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 160 184 200 230 250 256 320 367 368 400 460 500 512 529 575 640 734 736 800 920 1000 1024 1058 1150 1280 1468 1472 1600 1835 1840 2000 2048 2116 2300 2560 2645 2875 2936 2944 3200 3670 3680 4000 4096 4232 4600 5120 5290 5750 5872 5888 6400 7340 7360 8000 8192 8441 8464 9175 9200 10240 10580 11500 11744 11776 12800 13225 14680 14720 16000 16384 16882 16928 18350 18400 20480 21160 23000 23488 23552 25600 26450 29360 29440 32000 32768 33764 33856 36700 36800 40960 42205 42320 45875 46000 46976 47104 51200 52900 58720 58880 64000 65536 66125 67528 67712 73400 73600 81920 84410 84640 91750 92000 93952 94208 102400 105800 117440 117760 128000 131072 132250 134689 135056 135424 146800 147200 163840 168820 169280 183500 184000 187904 188416 194143 204800 211025 211600 234880 235520 256000 264500 269378 270112 270848 293600 294400 327680 337640 338560 367000 368000 375808 376832 388286 409600 422050 423200 469760 471040 512000 529000 538756 540224 541696 587200 588800 655360 673445 675280 677120 734000 736000 751616 753664 776572 819200 844100 846400 939520 942080 970715 1024000 1055125 1058000 1077512 1080448 1083392 1174400 1177600 1346890 1350560 1354240 1468000 1472000 1503232 1507328 1553144 1638400 1688200 1692800 1879040 1884160 1941430 2048000 2110250 2116000 2155024 2160896 2166784 2348800 2355200 2693780 2701120 2708480 2936000 2944000 3006464 3014656 3097847 3106288 3276800 3367225 3376400 3385600 3758080 3768320 3882860 4096000 4220500 4232000 4310048 4321792 4333568 4697600 4710400 4853575 5387560 5402240 5416960 5872000 5888000 6012928 6195694 6212576 6734450 6752800 6771200 7516160 7536640 7765720 8192000 8441000 8464000 8620096 8643584 8667136 9395200 9420800 9707150 10775120 10804480 10833920 11744000 11776000 12025856 12391388 12425152 13468900 13505600 13542400 15032320 15073280 15489235 15531440 16384000 16836125 16882000 16928000 17240192 17287168 17334272 18790400 18841600 19414300 21550240 21608960 21667840 23488000 23552000 24051712 24267875 24782776 24850304 26937800 27011200 27084800 30064640 30978470 31062880 33672250 33764000 33856000 34480384 34574336 34668544 37580800 37683200 38828600 43100480 43217920 43335680 46976000 47104000 48103424 48535750 49430863 49565552 49700608 53875600 54022400 54169600 60129280 61956940 62125760 67344500 67528000 67712000 68960768 69148672 69337088 71250481 75161600 75366400 77446175 77657200 86200960 86435840 86671360 93952000 94208000 97071500 98861726 99131104 99401216 107751200 108044800 108339200 120258560 123913880 124251520 134689000 135056000 135424000 137921536 138297344 142500962 150323200 154892350 155314400 172401920 172871680 173342720 187904000 188416000 194143000 197723452 198262208 198802432 215502400 216089600 216678400 240517120 247154315 247827760 248503040 269378000 270112000 270848000 275843072 276594688 285001924 300646400 309784700 310628800 344803840 345743360 346685440 356252405 375808000 376832000 387230875 388286000 395446904 396524416 397604864 431004800 432179200 433356800 494308630 495655520 497006080 538756000 540224000 541696000 551686144 553189376 570003848 601292800 619569400 621257600 689607680 691486720 712504810 751616000 774461750 776572000 790893808 793048832 795209728 862009600 864358400 866713600 988617260 991311040 994012160 1077512000 1080448000 1083392000 1103372288 1106378752 1136909849 1140007696 1202585600 1235771575 1239138800 1242515200 1379215360 1382973440 1425009620 1503232000 1548923500 1553144000 1581787616 1586097664 1590419456 1724019200 1728716800 1733427200 1781262025 1977234520 1982622080 1988024320 2155024000 2160896000 2166784000 2206744576 2273819698 2280015392 2471543150 2478277600 2485030400 2758430720 2765946880 2850019240 3006464000 3097847000 3106288000 3163575232 3172195328 3180838912 3448038400 3457433600 3562524050 3954469040 3965244160 3976048640 4310048000 4321792000 4333568000 4413489152 4547639396 4560030784 4943086300 4956555200 4970060800 5516861440 5531893760 5684549245 5700038480 6012928000 6178857875 6195694000 6212576000 6327150464 6344390656 6361677824 6896076800 6914867200 7125048100 7908938080 7930488320 7952097280 8620096000 8643584000 8667136000 8826978304 8906310125 9095278792 9120061568 9886172600 9913110400 9940121600 11033722880 11369098490 11400076960 12357715750 12391388000 12425152000 12654300928 12688781312 12723355648 13792153600 13829734400 14250096200 15817876160 15860976640 15904194560 17240192000 17287168000 17653956608 17812620250 18190557584 18240123136 19772345200 19826220800 19880243200 22067445760 22738196980 22800153920 24715431500 24782776000 24850304000 25308601856 25377562624 25446711296 26148926527 27584307200 27659468800 28422746225 28500192400 31635752320 31721953280 31808389120 34480384000 34574336000 35625240500 36381115168 36480246272 39544690400 39652441600 39760486400 44134891520 45476393960 45600307840 49430863000 49565552000 49700608000 50617203712 50755125248 52297853054 55168614400 56845492450 57000384800 63271504640 63443906560 63616778240 68960768000 69148672000 71250481000 72762230336 72960492544 79089380800 79304883200 79520972800 88269783040 90952787920 91200615680 98861726000 99131104000 99401216000 101234407424 101510250496 104595706108 110337228800 113690984900 114000769600 126543009280 126887813120 127233556480 130744632635 137921536000 138297344000 142113731125 142500962000 145524460672 145920985088 158178761600 158609766400 159041945600 181905575840 182401231360 197723452000 198262208000 198802432000 202468814848 203020500992 209191412216 220674457600 227381969800 228001539200 253086018560 253775626240 261489265270 275843072000 284227462250 285001924000 291048921344 291841970176 316357523200 317219532800 318083891200 363811151680 364802462720 395446904000 396524416000 397604864000 404937629696 406041001984 418382824432 441348915200 454763939600 456003078400 506172037120 507551252480 522978530540 551686144000 568454924500 570003848000 582097842688 583683940352 632715046400 634439065600 636167782400 653723163175 727622303360 729604925440 790893808000 793048832000 795209728000 809875259392 836765648864 909527879200 912006156800 1012344074240 1015102504960 1045957061080 1103372288000 1136909849000 1140007696000 1164195685376 1167367880704 1265430092800 1268878131200 1307446326350 1455244606720 1459209850880 1581787616000 1586097664000 1590419456000 1619750518784 1673531297728 1819055758400 1824012313600 2024688148480 2030205009920 2091914122160 2206744576000 2273819698000 2280015392000 2328391370752 2334735761408 2530860185600 2537756262400 2614892652700 2910489213440 2918419701760 3163575232000 3172195328000 3180838912000 3239501037568 3268615815875 3347062595456 3638111516800 3648024627200 4049376296960 4183828244320 4547639396000 4560030784000 4656782741504 4669471522816 5061720371200 5075512524800 5229785305400 5820978426880 5836839403520 6327150464000 6344390656000 6479002075136 6537231631750 6694125190912 7276223033600 7296049254400 8098752593920 8367656488640 9095278792000 9120061568000 9313565483008 9338943045632 10123440742400 10151025049600 10459570610800 11641956853760 11673678807040 12654300928000 12688781312000 13074463263500 13388250381824 14552446067200 14592098508800 16197505187840 16735312977280 18190557584000 18240123136000 18627130966016 20246881484800 20919141221600 23283913707520 23347357614080 25308601856000 25377562624000 26148926527000 26776500763648 29104892134400 29184197017600 32395010375680 33470625954560 36381115168000 36480246272000 37254261932032 40493762969600 41838282443200 46567827415040 46694715228160 50617203712000 50755125248000 52297853054000 53553001527296 58209784268800 58368394035200 66941251909120 72762230336000 72960492544000 74508523864064 80987525939200 83676564886400 93135654830080 101234407424000 104595706108000 107106003054592 116419568537600 116736788070400 133882503818240 145524460672000 145920985088000 149017047728128 161975051878400 167353129772800 186271309660160 202468814848000 209191412216000 214212006109184 232839137075200 233473576140800 267765007636480 291048921344000 291841970176000 334706259545600 372542619320320 404937629696000 418382824432000 428424012218368 465678274150400 535530015272960 582097842688000 583683940352000 669412519091200 745085238640640 809875259392000 836765648864000 856848024436736 931356548300800 1071060030545920 1164195685376000 1167367880704000 1338825038182400 1673531297728000 1713696048873472 1862713096601600 2142120061091840 2328391370752000 2677650076364800 3347062595456000 3427392097746944 3725426193203200 4284240122183680 4656782741504000 5355300152729600 6694125190912000 8568480244367360 9313565483008000 10710600305459200 13388250381824000 17136960488734720 18627130966016000 21421200610918400 26776500763648000 42842401221836800 53553001527296000 85684802443673600 107106003054592000 214212006109184000 428424012218368000
- Sum of all divisors σ(n): 1120911091327198080
- Sum of proper divisors (its aliquot sum) s(n): 692487079108830080
- 428424012218368000 is an abundant number, because the sum of its proper divisors (692487079108830080) is greater than itself. Its abundance is 264063066890462080
Bases of 428424012218368000
- Binary: 101111100100001000101011110100001011000011000000000000000002
- Hexadecimal: 0x5F2115E85860000
- Base-36: 396FMY5AMB5S
Squares and roots of 428424012218368000
- 428424012218368000 squared (4284240122183680002) is 183547134245284333352516583424000000
- 428424012218368000 cubed (4284240122183680003) is 78635999684548126786504814272565118377132032000000000
-
The
square root of 428424012218368000 is 654541069.9248504757 -
The
cube root of 428424012218368000 is 753860.9857406449
Scales and comparisons
How big is 428424012218368000?- 428,424,012,218,368,000 seconds is equal to 13,622,558,386 years, 3 weeks, 2 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 428,424,012,218,368,000 would take you about forty billion, eight hundred sixty-seven million, six hundred seventy-five thousand, one hundred fifty-eight 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 428424012218368000 cubic inches would be around 62821.7 feet tall.
Recreational maths with 428424012218368000
- 428424012218368000 backwards is 000863812210424824
- The number of decimal digits it has is: 18
- The sum of 428424012218368000's digits is 55
- More coming soon!
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The information we have on file for 428424012218368000 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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