230816313145824000
230,816,313,145,824,000 is an even composite number composed of five prime numbers multiplied together.
230816313145824000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 230816313145824000:
28 × 3 × 53 × 75 × 5233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 523 × 523 × 523)See below for interesting mathematical facts about the number 230816313145824000 from the Numbermatics database.
Names of 230816313145824000
- Cardinal: 230816313145824000 can be written as Two hundred thirty quadrillion, eight hundred sixteen trillion, three hundred thirteen billion, one hundred forty-five million, eight hundred twenty-four thousand.
Scientific notation
- Scientific notation: 2.30816313145824 × 1017
Factors of 230816313145824000
Divisors of 230816313145824000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 140 147 150 160 168 175 192 196 200 210 224 240 245 250 256 280 294 300 320 336 343 350 375 384 392 400 420 448 480 490 500 523 525 560 588 600 640 672 686 700 735 750 768 784 800 840 875 896 960 980 1000 1029 1046 1050 1120 1176 1200 1225 1280 1344 1372 1400 1470 1500 1568 1569 1600 1680 1715 1750 1792 1920 1960 2000 2058 2092 2100 2240 2352 2400 2401 2450 2615 2625 2688 2744 2800 2940 3000 3136 3138 3200 3360 3430 3500 3661 3675 3840 3920 4000 4116 4184 4200 4480 4704 4800 4802 4900 5145 5230 5250 5376 5488 5600 5880 6000 6125 6272 6276 6400 6720 6860 7000 7203 7322 7350 7840 7845 8000 8232 8368 8400 8575 8960 9408 9600 9604 9800 10290 10460 10500 10976 10983 11200 11760 12000 12005 12250 12544 12552 13075 13440 13720 14000 14406 14644 14700 15680 15690 16000 16464 16736 16800 16807 17150 18305 18375 18816 19200 19208 19600 20580 20920 21000 21952 21966 22400 23520 24000 24010 24500 25104 25627 25725 26150 26880 27440 28000 28812 29288 29400 31360 31380 32000 32928 33472 33600 33614 34300 36015 36610 36750 37632 38416 39200 39225 41160 41840 42000 42875 43904 43932 44800 47040 48000 48020 49000 50208 50421 51254 51450 52300 54880 54915 56000 57624 58576 58800 60025 62720 62760 65375 65856 66944 67200 67228 68600 72030 73220 73500 76832 76881 78400 78450 82320 83680 84000 84035 85750 87808 87864 91525 94080 96000 96040 98000 100416 100842 102508 102900 104600 109760 109830 112000 115248 117152 117600 120050 125520 128135 128625 130750 131712 133888 134400 134456 137200 144060 146440 147000 153664 153762 156800 156900 164640 167360 168000 168070 171500 175728 179389 180075 183050 188160 192080 196000 196125 200832 201684 205016 205800 209200 219520 219660 224000 230496 234304 235200 240100 251040 252105 256270 257250 261500 263424 268912 273529 274400 274575 288120 292880 294000 300125 307328 307524 313600 313800 329280 334720 336000 336140 343000 351456 358778 360150 366100 384160 384405 392000 392250 401664 403368 410032 411600 418400 420175 439040 439320 457625 460992 468608 470400 480200 502080 504210 512540 514500 523000 537824 538167 547058 548800 549150 576240 585760 588000 600250 614656 615048 627600 640675 658560 669440 672000 672280 686000 702912 717556 720300 732200 768320 768810 784000 784500 806736 820064 820587 823200 836800 840350 878640 896945 900375 915250 921984 937216 940800 960400 1004160 1008420 1025080 1029000 1046000 1075648 1076334 1094116 1097600 1098300 1152480 1171520 1176000 1200500 1230096 1255200 1255723 1260525 1281350 1317120 1344560 1367645 1372000 1372875 1405824 1435112 1440600 1464400 1536640 1537620 1568000 1569000 1613472 1640128 1641174 1646400 1673600 1680700 1757280 1793890 1800750 1830500 1843968 1914703 1920800 1922025 2008320 2016840 2050160 2058000 2092000 2100875 2151296 2152668 2188232 2195200 2196600 2304960 2343040 2352000 2401000 2460192 2510400 2511446 2521050 2562700 2689120 2690835 2735290 2744000 2745750 2811648 2870224 2881200 2928800 3073280 3075240 3138000 3203375 3226944 3280256 3282348 3292800 3347200 3361400 3514560 3587780 3601500 3661000 3767169 3829406 3841600 3844050 4033680 4100320 4102935 4116000 4184000 4201750 4302592 4305336 4376464 4393200 4484725 4609920 4686080 4704000 4802000 4920384 5020800 5022892 5042100 5125400 5378240 5381670 5470580 5488000 5491500 5740448 5744109 5762400 5857600 6150480 6276000 6278615 6302625 6406750 6453888 6560512 6564696 6585600 6722800 6838225 7029120 7175560 7203000 7322000 7534338 7658812 7683200 7688100 8067360 8200640 8205870 8232000 8368000 8403500 8610672 8752928 8786400 8790061 8969450 9219840 9573515 9604000 9610125 9840768 10041600 10045784 10084200 10250800 10756480 10763340 10941160 10976000 10983000 11480896 11488218 11524800 11715200 12300960 12552000 12557230 12605250 12813500 12907776 13129392 13402921 13445600 13454175 13676450 14058240 14351120 14406000 14644000 15068676 15317624 15366400 15376200 16134720 16401280 16411740 16464000 16736000 16807000 17221344 17505856 17572800 17580122 17938900 18835845 19147030 19208000 19220250 19681536 20091568 20168400 20501600 20514675 21512960 21526680 21882320 21966000 22423625 22961792 22976436 23049600 23430400 24601920 25104000 25114460 25210500 25627000 26258784 26370183 26805842 26891200 26908350 27352900 28702240 28720545 28812000 29288000 30137352 30635248 30752400 31393075 32269440 32802560 32823480 32928000 33614000 34191125 34442688 35011712 35145600 35160244 35877800 37671690 38294060 38416000 38440500 40183136 40208763 40336800 41003200 41029350 43053360 43764640 43932000 43950305 44847250 45923584 45952872 46099200 47867575 49203840 50208000 50228920 50421000 51254000 52517568 52740366 53611684 53782400 53816700 54705800 57404480 57441090 57624000 58576000 60274704 61270496 61504800 62786150 64538880 65646960 67014605 67228000 67270875 68382250 68885376 70023424 70291200 70320488 71755600 75343380 76588120 76832000 76881000 80366272 80417526 80673600 82006400 82058700 86106720 87529280 87864000 87900610 89694500 91905744 93820447 94179225 95735150 98407680 100457840 100842000 102508000 102573375 105035136 105480732 107223368 107564800 107633400 109411600 114808960 114882180 115248000 117152000 120549408 122540992 123009600 125572300 131293920 131850915 134029210 134456000 134541750 136764500 137770752 140640976 143055667 143511200 143602725 150686760 153176240 153762000 156965375 160732544 160835052 161347200 164012800 164117400 172213440 175058560 175728000 175801220 179389000 183811488 187640894 188358450 191470300 200915680 201043815 201684000 205016000 205146750 210070272 210961464 214446736 215266800 218823200 219751525 229617920 229764360 230496000 239337875 241098816 245081984 246019200 251144600 262587840 263701830 268058420 268912000 269083500 273529000 281281952 281461341 286111334 287022400 287205450 301373520 306352480 307524000 313930750 321465088 321670104 322694400 328234800 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2206656913440 2243112858560 2251690728000 2288890672000 2298600951500 2355268501488 2403335205600 2404336595269 2453404689050 2521893615360 2626972516000 2628647881125 2691735430272 2746668806400 2747813251736 2758321141800 2803891073200 2942209217920 2944085626860 3002254304000 3004169007000 3140358001984 3152367019200 3204446940800 3364669287840 3433336008000 3434766564670 3447901427250 3504863841500 3530651061504 3677761522400 3680107033575 3845336328960 3925447502480 3940458774000 4005558676000 4121719877604 4203156025600 4205836609800 4413313826880 4486225717120 4503381456000 4577781344000 4597201903000 4710537002976 4806670411200 4808673190538 4906809378100 5152149847005 5253945032000 5257295762250 5383470860544 5495626503472 5516642283600 5607782146400 5884418435840 5888171253720 6008338014000 6133511722625 6280716003968 6304734038400 6408893881600 6729338575680 6866672016000 6869533129340 6895802854500 7009727683000 7213009785807 7355523044800 7360214067150 7850895004960 7880917548000 8011117352000 8243439755208 8411673219600 8586916411675 8826627653760 8972451434240 9006762912000 9194403806000 9421074005952 9613340822400 9617346381076 9813618756200 10304299694010 10507890064000 10514591524500 10991253006944 11033284567200 11215564292800 11776342507440 12016676028000 12021682976345 12267023445250 12561432007936 12609468076800 13458677151360 13733344032000 13739066258680 13791605709000 14019455366000 14426019571614 14711046089600 14720428134300 15701790009920 15761835096000 16022234704000 16486879510416 16823346439200 17173832823350 17653255307520 18388807612000 18400535167875 18842148011904 19226681644800 19234692762152 19627237512400 20608599388020 21015780128000 21029183049000 21982506013888 22066569134400 22431128585600 23552685014880 24033352056000 24043365952690 24534046890500 25760749235025 26917354302720 27478132517360 27583211418000 28038910732000 28852039143228 29422092179200 29440856268600 31403580019840 31523670192000 32044469408000 32973759020832 33646692878400 34347665646700 36065048929035 36777615224000 36801070335750 37684296023808 38469385524304 39254475024800 41217198776040 42058366098000 42934582058375 43965012027776 44133138268800 44862257171200 47105370029760 48066704112000 48086731905380 49068093781000 51521498470050 54956265034720 55166422836000 56077821464000 57704078286456 58881712537200 60108414881725 62807160039680 63047340384000 65947518041664 67293385756800 68695331293400 72130097858070 73555230448000 73602140671500 76938771048608 78508950049600 82434397552080 84116732196000 85869164116750 87930024055552 88266276537600 94210740059520 96133408224000 96173463810760 98136187562000 103042996940100 109912530069440 110332845672000 112155642928000 115408156572912 117763425074400 120216829763450 128803746175125 131895036083328 134586771513600 137390662586800 144260195716140 147110460896000 147204281343000 153877542097216 157017900099200 164868795104160 168233464392000 171738328233500 180325244645175 188421480119040 192346927621520 196272375124000 206085993880200 219825060138880 220665691344000 224311285856000 230816313145824 235526850148800 240433659526900 257607492350250 263790072166656 274781325173600 288520391432280 294408562686000 300542074408625 307755084194432 314035800198400 329737590208320 336466928784000 343476656467000 360650489290350 384693855243040 392544750248000 412171987760400 439650120277760 441331382688000 461632626291648 471053700297600 480867319053800 515214984700500 549562650347200 577040782864560 588817125372000 601084148817250 615510168388864 659475180416640 672933857568000 686953312934000 721300978580700 769387710486080 785089500496000 824343975520800 901626223225875 923265252583296 942107400595200 961734638107600 1030429969401000 1099125300694400 1154081565729120 1177634250744000 1202168297634500 1318950360833280 1373906625868000 1442601957161400 1538775420972160 1570179000992000 1648687951041600 1803252446451750 1846530505166592 1923469276215200 2060859938802000 2198250601388800 2308163131458240 2355268501488000 2404336595269000 2747813251736000 2885203914322800 3077550841944320 3297375902083200 3606504892903500 3846938552430400 4121719877604000 4616326262916480 4710537002976000 4808673190538000 5495626503472000 5770407828645600 6594751804166400 7213009785807000 7693877104860800 8243439755208000 9232652525832960 9617346381076000 10991253006944000 11540815657291200 14426019571614000 15387754209721600 16486879510416000 19234692762152000 23081631314582400 28852039143228000 32973759020832000 38469385524304000 46163262629164800 57704078286456000 76938771048608000 115408156572912000 230816313145824000
- Sum of all divisors σ(n): 896138303129072640
- Sum of proper divisors (its aliquot sum) s(n): 665321989983248640
- 230816313145824000 is an abundant number, because the sum of its proper divisors (665321989983248640) is greater than itself. Its abundance is 434505676837424640
Bases of 230816313145824000
- Binary: 11001101000000011000110110110000010110110000010011000000002
- Hexadecimal: 0x3340636C16C1300
- Base-36: 1R4PJYF6F6YO
Squares and roots of 230816313145824000
- 230816313145824000 squared (2308163131458240002) is 53276170414231085075088638976000000
- 230816313145824000 cubed (2308163131458240003) is 12297009233541446061506121546618141178036224000000000
-
The
square root of 230816313145824000 is 480433463.8072414705 -
The
cube root of 230816313145824000 is 613416.5652817369
Scales and comparisons
How big is 230816313145824000?- 230,816,313,145,824,000 seconds is equal to 7,339,244,796 years, 15 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 230,816,313,145,824,000 would take you about twenty-two billion, seventeen million, seven hundred thirty-four thousand, three hundred eighty-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 230816313145824000 cubic inches would be around 51118 feet tall.
Recreational maths with 230816313145824000
- 230816313145824000 backwards is 000428541313618032
- The number of decimal digits it has is: 18
- The sum of 230816313145824000's digits is 51
- More coming soon!
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"Number 230816313145824000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 230816313145824000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/230816313145824000/
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The information we have on file for 230816313145824000 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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