385768338227200
385,768,338,227,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 385768338227200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1026 divisors.
385768338227200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and twenty-six divisors.
Prime factorization of 385768338227200:
218 × 52 × 192 × 412 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 19 × 41 × 41 × 97)See below for interesting mathematical facts about the number 385768338227200 from the Numbermatics database.
Names of 385768338227200
- Cardinal: 385768338227200 can be written as Three hundred eighty-five trillion, seven hundred sixty-eight billion, three hundred thirty-eight million, two hundred twenty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 3.857683382272 × 1014
Factors of 385768338227200
Divisors of 385768338227200
- Number of divisors d(n): 1026
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 41 50 64 76 80 82 95 97 100 128 152 160 164 190 194 200 205 256 304 320 328 361 380 388 400 410 475 485 512 608 640 656 722 760 776 779 800 820 950 970 1024 1025 1216 1280 1312 1444 1520 1552 1558 1600 1640 1681 1805 1843 1900 1940 2048 2050 2425 2432 2560 2624 2888 3040 3104 3116 3200 3280 3362 3610 3686 3800 3880 3895 3977 4096 4100 4850 4864 5120 5248 5776 6080 6208 6232 6400 6560 6724 7220 7372 7600 7760 7790 7954 8192 8200 8405 9025 9215 9700 9728 10240 10496 11552 12160 12416 12464 12800 13120 13448 14440 14744 14801 15200 15520 15580 15908 16384 16400 16810 18050 18430 19400 19456 19475 19885 20480 20992 23104 24320 24832 24928 25600 26240 26896 28880 29488 29602 30400 31040 31160 31816 31939 32768 32800 33620 35017 36100 36860 38800 38912 38950 39770 40960 41984 42025 46075 46208 48640 49664 49856 51200 52480 53792 57760 58976 59204 60800 62080 62320 63632 63878 65536 65600 67240 70034 72200 73720 74005 75563 77600 77824 77900 79540 81920 83968 84050 92150 92416 97280 99328 99425 99712 102400 104960 107584 115520 117952 118408 121600 124160 124640 127264 127756 131072 131200 134480 140068 144400 147440 148010 151126 155200 155648 155800 159080 159695 163057 163840 167936 168100 175085 184300 184832 194560 198656 198850 199424 204800 209920 215168 231040 235904 236816 243200 248320 249280 254528 255512 262144 262400 268960 280136 288800 294880 296020 302252 310400 311296 311600 318160 319390 326114 327680 335872 336200 350170 368600 369664 370025 377815 389120 397312 397700 398848 409600 419840 430336 462080 471808 473632 486400 496640 498560 509056 511024 524800 537920 560272 577600 589760 592040 604504 606841 620800 622592 623200 636320 638780 652228 655360 671744 672400 700340 737200 739328 740050 755630 778240 794624 795400 797696 798475 815285 819200 839680 860672 875425 924160 943616 947264 972800 993280 997120 1018112 1022048 1049600 1075840 1120544 1155200 1179520 1184080 1209008 1213682 1241600 1245184 1246400 1272640 1277560 1304456 1310720 1343488 1344800 1400680 1435697 1474400 1478656 1480100 1511260 1556480 1589248 1590800 1595392 1596950 1630570 1638400 1679360 1721344 1750850 1848320 1887232 1889075 1894528 1945600 1986560 1994240 2036224 2044096 2099200 2151680 2241088 2310400 2359040 2368160 2418016 2427364 2483200 2490368 2492800 2545280 2555120 2608912 2686976 2689600 2801360 2871394 2948800 2957312 2960200 3022520 3034205 3098083 3112960 3178496 3181600 3190784 3193900 3261140 3276800 3358720 3442688 3501700 3696640 3774464 3778150 3789056 3891200 3973120 3988480 4072448 4076425 4088192 4198400 4303360 4482176 4620800 4718080 4736320 4836032 4854728 4966400 4980736 4985600 5090560 5110240 5217824 5373952 5379200 5602720 5742788 5897600 5914624 5920400 6045040 6068410 6196166 6225920 6356992 6363200 6381568 6387800 6522280 6553600 6717440 6885376 7003400 7178485 7393280 7548928 7556300 7578112 7782400 7946240 7976960 8144896 8152850 8176384 8396800 8606720 8964352 9241600 9436160 9472640 9672064 9709456 9932800 9971200 10181120 10220480 10435648 10747904 10758400 11205440 11485576 11795200 11829248 11840800 12090080 12136820 12392332 12451840 12713984 12726400 12763136 12775600 13044560 13434880 13770752 14006800 14356970 14786560 15097856 15112600 15156224 15171025 15490415 15564800 15892480 15953920 16289792 16305700 16352768 16793600 17213440 17928704 18483200 18872320 18945280 19344128 19418912 19865600 19942400 20362240 20440960 20871296 21516800 22410880 22971152 23590400 23658496 23681600 24180160 24273640 24784664 24903680 25427968 25452800 25526272 25551200 26089120 26869760 27541504 28013600 28713940 29573120 30195712 30225200 30312448 30342050 30980830 31129600 31784960 31907840 32579584 32611400 32705536 33587200 34426880 35857408 35892425 36966400 37744640 37890560 38688256 38837824 39731200 39884800 40724480 40881920 41742592 43033600 44821760 45942304 47180800 47316992 47363200 48360320 48547280 49569328 50905600 51052544 51102400 52178240 53739520 55083008 56027200 57427880 58863577 59146240 60391424 60450400 60624896 60684100 61961660 62259200 63569920 63815680 65159168 65222800 65411072 67174400 68853760 71714816 71784850 73932800 75489280 75781120 77376512 77452075 77675648 79462400 79769600 81448960 81763840 83485184 86067200 89643520 91884608 94361600 94633984 94726400 96720640 97094560 99138656 101811200 102105088 102204800 104356480 110166016 112054400 114855760 117727154 118292480 120782848 120900800 121249792 121368200 123923320 124518400 127139840 127631360 130318336 130445600 130822144 134348800 137707520 143429632 143569700 147865600 150978560 151562240 154753024 154904150 155351296 158924800 159539200 162897920 163527680 166970368 172134400 179287040 183769216 188723200 189452800 193441280 194189120 198277312 203622400 204210176 204409600 208712960 220332032 224108800 229711520 235454308 236584960 241565696 241801600 242499584 242736400 247846640 255262720 260636672 260891200 261644288 268697600 275415040 286859264 287139400 294317885 295731200 301957120 303124480 309506048 309808300 310702592 317849600 319078400 325795840 327055360 333940736 344268800 358574080 367538432 377446400 378905600 386882560 388378240 396554624 407244800 408819200 417425920 440664064 448217600 459423040 470908616 473169920 483131392 483603200 484999168 485472800 495693280 510525440 521273344 521782400 523288576 550830080 573718528 574278800 588635770 591462400 603914240 606248960 619012096 619616600 621405184 635699200 638156800 651591680 654110720 667881472 688537600 717148160 735076864 754892800 757811200 773765120 776756480 793109248 814489600 817638400 834851840 896435200 918846080 941817232 967206400 969998336 970945600 991386560 1021050880 1042546688 1043564800 1046577152 1101660160 1147437056 1148557600 1177271540 1182924800 1207828480 1212497920 1238024192 1239233200 1242810368 1276313600 1303183360 1308221440 1335762944 1377075200 1434296320 1470153728 1471589425 1509785600 1515622400 1547530240 1553512960 1586218496 1628979200 1635276800 1669703680 1792870400 1837692160 1883634464 1934412800 1939996672 1941891200 1982773120 2087129600 2093154304 2203320320 2294874112 2297115200 2354543080 2365849600 2415656960 2424995840 2476048384 2478466400 2485620736 2552627200 2606366720 2616442880 2671525888 2754150400 2868592640 2940307456 2943178850 3019571200 3031244800 3095060480 3107025920 3172436992 3257958400 3270553600 3339407360 3585740800 3675384320 3767268928 3868825600 3879993344 3883782400 3965546240 4174259200 4186308608 4589748224 4594230400 4709086160 4849991680 4952096768 4956932800 4971241472 5105254400 5212733440 5232885760 5343051776 5508300800 5737185280 5880614912 5886357700 6039142400 6062489600 6190120960 6214051840 6344873984 6515916800 6541107200 6678814720 7171481600 7350768640 7534537856 7737651200 7767564800 7931092480 8348518400 8372617216 9179496448 9188460800 9418172320 9699983360 9904193536 9913865600 9942482944 10465771520 10686103552 11016601600 11474370560 11761229824 11772715400 12078284800 12124979200 12380241920 12428103680 12689747968 13031833600 13082214400 13357629440 14342963200 14701537280 15069075712 15475302400 15535129600 15862184960 16697036800 18376921600 18836344640 19399966720 19808387072 19827731200 19884965888 20931543040 21372207104 22948741120 23522459648 23545430800 24249958400 24760483840 24856207360 25379495936 26063667200 26164428800 26715258880 28685926400 29403074560 30138151424 30950604800 31070259200 31724369920 33394073600 36753843200 37672689280 39655462400 39769931776 41863086080 42744414208 45897482240 47044919296 47090861600 48499916800 49520967680 49712414720 50758991872 52328857600 53430517760 57371852800 58806149120 60276302848 61901209600 62140518400 63448739840 66788147200 73507686400 75345378560 79310924800 79539863552 94089838592 94181723200 96999833600 99041935360 99424829440 101517983744 104657715200 106861035520 114743705600 117612298240 120552605696 123802419200 124281036800 126897479680 133576294400 147015372800 150690757120 158621849600 159079727104 188179677184 188363446400 198849658880 203035967488 209315430400 213722071040 229487411200 235224596480 241105211392 247604838400 248562073600 253794959360 267152588800 294030745600 301381514240 317243699200 376359354368 376726892800 397699317760 406071934976 470449192960 482210422784 495209676800 497124147200 507589918720 534305177600 588061491200 602763028480 634487398400 753453785600 795398635520 812143869952 940898385920 964420845568 994248294400 1015179837440 1068610355200 1176122982400 1205526056960 1268974796800 1506907571200 1881796771840 1928841691136 1988496588800 2030359674880 2352245964800 2411052113920 2537949593600 3013815142400 3857683382272 3976993177600 4060719349760 4704491929600 4822104227840 5075899187200 6027630284800 7715366764544 9408983859200 9644208455680 10151798374400 12055260569600 15430733529088 19288416911360 20303596748800 24110521139200 38576833822720 48221042278400 77153667645440 96442084556800 192884169113600 385768338227200
- Sum of all divisors σ(n): 1045603701284478
- Sum of proper divisors (its aliquot sum) s(n): 659835363057278
- 385768338227200 is an abundant number, because the sum of its proper divisors (659835363057278) is greater than itself. Its abundance is 274067024830078
Bases of 385768338227200
- Binary: 10101111011011010101100001100010000000000000000002
- Hexadecimal: 0x15EDAB0C40000
- Base-36: 3SQRJ0C4XS
Squares and roots of 385768338227200
- 385768338227200 squared (3857683382272002) is 148817210778575376838819840000
- 385768338227200 cubed (3857683382272003) is 57408968101657979419727549176005787648000000
-
The
square root of 385768338227200 is 19640986.1826538639 -
The
cube root of 385768338227200 is 72796.2252392093
Scales and comparisons
How big is 385768338227200?- 385,768,338,227,200 seconds is equal to 12,266,239 years, 46 weeks, 4 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 385,768,338,227,200 would take you about thirty million, six hundred sixty-five thousand, five hundred ninety-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 385768338227200 cubic inches would be around 6066.4 feet tall.
Recreational maths with 385768338227200
- 385768338227200 backwards is 002722833867583
- 385768338227200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 385768338227200's digits is 64
- More coming soon!
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The information we have on file for 385768338227200 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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