381034828220800
381,034,828,220,800 is an even composite number composed of seven prime numbers multiplied together.
381034828220800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 381034828220800:
27 × 52 × 13 × 19 × 137 × 181 × 19441
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 19 × 137 × 181 × 19441)See below for interesting mathematical facts about the number 381034828220800 from the Numbermatics database.
Names of 381034828220800
- Cardinal: 381034828220800 can be written as Three hundred eighty-one trillion, thirty-four billion, eight hundred twenty-eight million, two hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 3.810348282208 × 1014
Factors of 381034828220800
Divisors of 381034828220800
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 64 65 76 80 95 100 104 128 130 137 152 160 181 190 200 208 247 260 274 304 320 325 362 380 400 416 475 494 520 548 608 640 650 685 724 760 800 832 905 950 988 1040 1096 1216 1235 1300 1370 1448 1520 1600 1664 1781 1810 1900 1976 2080 2192 2353 2432 2470 2600 2603 2740 2896 3040 3200 3425 3439 3562 3620 3800 3952 4160 4384 4525 4706 4940 5200 5206 5480 5792 6080 6175 6850 6878 7124 7240 7600 7904 8320 8768 8905 9050 9412 9880 10400 10412 10960 11584 11765 12160 12350 13015 13700 13756 14248 14480 15200 15808 17195 17536 17810 18100 18824 19441 19760 20800 20824 21920 23168 23530 24700 24797 26030 27400 27512 28496 28960 30400 31616 33839 34390 35620 36200 37648 38882 39520 41600 41648 43840 44525 44707 47060 49400 49594 52060 54800 55024 56992 57920 58825 60800 65075 67678 68780 71240 72400 75296 77764 79040 83296 85975 87680 89050 89414 94120 97205 98800 99188 104120 109600 110048 113984 115840 117650 123985 130150 135356 137560 142480 144800 150592 155528 158080 166592 169195 171950 178100 178828 188240 194410 197600 198376 208240 219200 220096 223535 227968 235300 247970 252733 260300 270712 275120 284960 289600 301184 311056 322361 333184 338390 343900 356200 357656 369379 376480 388820 395200 396752 416480 438400 440192 447070 470600 471143 486025 495940 505466 520600 541424 550240 569920 579200 619925 622112 644722 676780 687800 712400 715312 738758 752960 777640 790400 793504 832960 845975 894140 941200 942286 972050 991880 1010932 1041200 1082848 1100480 1117675 1139840 1239850 1244224 1263665 1289444 1353560 1375600 1424800 1430624 1477516 1505920 1555280 1587008 1611805 1665920 1691950 1788280 1846895 1882400 1884572 1944100 1983760 2021864 2082400 2165696 2200960 2235350 2355715 2479700 2488448 2527330 2578888 2663417 2707120 2751200 2849600 2861248 2955032 3110560 3174016 3223610 3383900 3518821 3576560 3693790 3764800 3769144 3888200 3967520 4043728 4164800 4331392 4470700 4711430 4801927 4959400 5054660 5157776 5326834 5414240 5502400 5699200 5722496 5910064 6124859 6221120 6318325 6447220 6767800 7037642 7153120 7387580 7529600 7538288 7776400 7935040 8059025 8087456 8329600 8941400 9234475 9422860 9603854 9918800 10109320 10315552 10653668 10828480 11004800 11778575 11820128 12249718 12442240 12636650 12894440 13317085 13535600 14075284 14306240 14775160 15076576 15552800 15870080 16118050 16174912 17594105 17882800 18468950 18845720 19207708 19837600 20218640 20631104 21307336 21656960 23557150 23640256 24009635 24499436 25273300 25788880 26634170 27071200 28150568 28612480 29550320 30153152 30624295 31105600 32236100 32349824 34624421 35188210 35765600 36937900 37691440 38415416 39675200 40437280 41262208 42614672 45744673 47114300 47280512 48019270 48998872 50546600 50604923 51577760 53268340 54142400 56301136 59100640 60306304 61248590 62211200 64472200 66585425 66857599 69248842 70376420 71531200 73875800 75382880 76830832 79350400 80874560 85229344 87970525 91489346 94228600 96038540 97997744 101093200 101209846 103155520 106536680 108284800 112602272 118201280 120048175 122497180 128944400 133170850 133715198 138497684 140752840 143062400 147751600 150765760 153121475 153661664 161749120 170458688 173122105 175941050 182978692 188457200 192077080 195995488 202186400 202419692 206311040 213073360 225204544 228723365 236402560 240096350 244994360 253024615 257888800 266341700 267430396 276995368 281505680 295503200 301531520 306242950 307323328 334287995 340917376 346244210 351882100 365957384 376914400 384154160 391990976 404372800 404839384 426146720 450409088 457446730 480192700 482078477 489988720 506049230 515777600 532683400 534860792 553990736 563011360 591006400 612485900 614646656 657863999 668575990 692488420 703764200 731914768 753828800 768308320 783981952 808745600 809678768 852293440 865610525 869148787 914893460 960385400 964156954 979977440 1012098460 1031555200 1065366800 1069721584 1107981472 1126022720 1143616825 1182012800 1224971800 1265123075 1315727998 1337151980 1384976840 1407528400 1463829536 1507657600 1536616640 1619357536 1671439975 1704586880 1731221050 1738297574 1829786920 1920770800 1928313908 1959954880 2024196920 2130733600 2139443168 2215962944 2252045440 2287233650 2410392385 2449943600 2530246150 2631455996 2674303960 2769953680 2815056800 2927659072 3073233280 3238715072 3289319995 3342879950 3462442100 3476595148 3659573840 3841541600 3856627816 3919909760 4048393840 4261467200 4278886336 4345743935 4431925888 4574467300 4820784770 4899887200 5060492300 5262911992 5348607920 5539907360 5630113600 5855318144 6267020201 6477430144 6578639990 6685759900 6924884200 6953190296 7319147680 7683083200 7713255632 8096787680 8522934400 8557772672 8691487870 9148934600 9159491063 9641569540 9799774400 10120984600 10525823984 10697215840 11079814720 11260227200 12051961925 12534040402 13157279980 13371519800 13849768400 13906380592 14638295360 15366166400 15426511264 16193575360 16446599975 17382975740 18297869200 18318982126 19283139080 19599548800 20241969200 21051647968 21394431680 21728719675 22159629440 24103923850 25068080804 26314559960 26743039600 27699536800 27812761184 29276590720 30853022528 31335101005 32387150720 32893199950 34765951480 36595738400 36637964252 38566278160 40483938400 42103295936 42788863360 43457439350 45797455315 48207847700 50136161608 52629119920 53486079200 55399073600 55625522368 61706045056 62670202010 65786399900 69531902960 73191476800 73275928504 77132556320 80967876800 84206591872 86914878700 91594910630 96415695400 100272323216 105258239840 106972158400 110798147200 111251044736 119073383819 125340404020 131572799800 139063805920 146382953600 146551857008 154265112640 156675505025 161935753600 173829757400 183189821260 192831390800 200544646432 210516479680 213944316800 228987276575 238146767638 250680808040 263145599600 278127611840 293103714016 308530225280 313351010050 347659514800 366379642520 385662781600 401089292864 421032959360 457974553150 476293535276 501361616080 526291199200 556255223680 586207428032 595366919095 626702020100 695319029600 732759285040 771325563200 802178585728 915949106300 952587070552 1002723232160 1052582398400 1172414856064 1190733838190 1253404040200 1390638059200 1465518570080 1542651126400 1831898212600 1905174141104 2005446464320 2105164796800 2381467676380 2506808080400 2781276118400 2931037140160 2976834595475 3663796425200 3810348282208 4010892928640 4762935352760 5013616160800 5862074280320 5953669190950 7327592850400 7620696564416 9525870705520 10027232321600 11907338381900 14655185700800 15241393128832 19051741411040 20054464643200 23814676763800 29310371401600 38103482822080 47629353527600 76206965644160 95258707055200 190517414110400 381034828220800
- Sum of all divisors σ(n): 1080814889044800
- Sum of proper divisors (its aliquot sum) s(n): 699780060824000
- 381034828220800 is an abundant number, because the sum of its proper divisors (699780060824000) is greater than itself. Its abundance is 318745232603200
Bases of 381034828220800
- Binary: 10101101010001100100101011001010101001001100000002
- Hexadecimal: 0x15A8C95954980
- Base-36: 3R2CZEP0N4
Squares and roots of 381034828220800
- 381034828220800 squared (3810348282208002) is 145187540317254564093552640000
- 381034828220800 cubed (3810348282208003) is 55321509484585567163651613843202342912000000
-
The
square root of 381034828220800 is 19520113.4274573313 -
The
cube root of 381034828220800 is 72497.2541628825
Scales and comparisons
How big is 381034828220800?- 381,034,828,220,800 seconds is equal to 12,115,728 years, 47 weeks, 5 days, 15 hours, 6 minutes, 40 seconds.
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To count from 1 to 381,034,828,220,800 would take you about thirty million, two hundred eighty-nine thousand, three hundred twenty-two 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 381034828220800 cubic inches would be around 6041.4 feet tall.
Recreational maths with 381034828220800
- 381034828220800 backwards is 008022828430183
- The number of decimal digits it has is: 15
- The sum of 381034828220800's digits is 49
- More coming soon!
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The information we have on file for 381034828220800 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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