2006146514400
2,006,146,514,400 is an even composite number composed of six prime numbers multiplied together.
2006146514400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 2006146514400:
25 × 3 × 52 × 72 × 181 × 3072
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 181 × 307 × 307)See below for interesting mathematical facts about the number 2006146514400 from the Numbermatics database.
Names of 2006146514400
- Cardinal: 2006146514400 can be written as Two trillion, six billion, one hundred forty-six million, five hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 2.0061465144 × 1012
Factors of 2006146514400
Divisors of 2006146514400
- Number of divisors d(n): 648
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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 70 75 80 84 96 98 100 105 112 120 140 147 150 160 168 175 181 196 200 210 224 240 245 280 294 300 307 336 350 362 392 400 420 480 490 525 543 560 588 600 614 672 700 724 735 784 800 840 905 921 980 1050 1086 1120 1176 1200 1225 1228 1267 1400 1448 1470 1535 1568 1680 1810 1842 1960 2100 2149 2172 2352 2400 2450 2456 2534 2715 2800 2896 2940 3070 3360 3620 3675 3684 3801 3920 4200 4298 4344 4525 4605 4704 4900 4912 5068 5430 5600 5792 5880 6140 6335 6447 7240 7350 7368 7602 7675 7840 8400 8596 8688 8869 9050 9210 9800 9824 10136 10745 10860 11760 12280 12670 12894 13575 14480 14700 14736 15043 15204 15350 16800 17192 17376 17738 18100 18420 19005 19600 20272 21490 21720 23025 23520 24560 25340 25788 26607 27150 28960 29400 29472 30086 30408 30700 31675 32235 34384 35476 36200 36840 38010 39200 40544 42980 43440 44345 45129 46050 49120 50680 51576 53214 53725 54300 55567 58800 60172 60816 61400 63350 64470 68768 70952 72400 73680 75215 76020 85960 86880 88690 90258 92100 94249 95025 101360 103152 106428 107450 108600 111134 117600 120344 121632 122800 126700 128940 133035 141904 144800 147360 150430 152040 161175 166701 171920 177380 180516 184200 188498 190050 202720 206304 212856 214900 217200 221725 222268 225645 240688 245600 253400 257880 266070 277835 282747 283808 300860 304080 322350 333402 343840 354760 361032 368400 376075 376996 380100 388969 425712 429800 434400 443450 444536 451290 471245 481376 506800 515760 532140 555670 565494 601720 608160 644700 659743 665175 666804 709520 722064 736800 752150 753992 760200 777938 833505 851424 859600 886900 889072 902580 942490 1013600 1031520 1064280 1111340 1128225 1130988 1166907 1203440 1289400 1319486 1330350 1333608 1389175 1413735 1419040 1444128 1504300 1507984 1520400 1555876 1667010 1719200 1773800 1778144 1805160 1884980 1944845 1979229 2128560 2222680 2256450 2261976 2333814 2356225 2406880 2578800 2638972 2660700 2667216 2722783 2778350 2827470 3008600 3015968 3040800 3111752 3298715 3334020 3547600 3610320 3769960 3889690 3958458 4167525 4257120 4445360 4512900 4523952 4618201 4667628 4712450 5157600 5277944 5321400 5334432 5445566 5556700 5654940 5834535 6017200 6223504 6597430 6668040 7068675 7095200 7220640 7539920 7779380 7916916 8168349 8335050 8890720 9025800 9047904 9236402 9335256 9424900 9724225 9896145 10555888 10642800 10891132 11113400 11309880 11669070 12034400 12447008 13194860 13336080 13613915 13854603 14137350 15079840 15558760 15833832 16336698 16493575 16670100 17059069 18051600 18472804 18670512 18849800 19448450 19792290 21111776 21285600 21782264 22226800 22619760 23091005 23338140 26389720 26672160 27227830 27709206 28274700 29172675 31117520 31667664 32673396 32987150 33340200 34118138 36103200 36945608 37341024 37699600 38896900 39584580 40841745 43564528 44453600 45239520 46182010 46676280 49480725 51177207 52779440 54455660 55418412 56549400 58345350 62235040 63335328 65346792 65974300 66680400 68069575 68236276 69273015 73891216 75399200 77793800 79169160 81683490 85295345 87129056 92364020 93352560 98961450 102354414 105558880 108911320 110836824 113098800 115455025 116690700 119413483 130693584 131948600 133360800 136139150 136472552 138546030 147782432 155587600 158338320 163366980 170590690 184728040 186705120 197922900 204208725 204708828 217822640 221673648 226197600 230910050 233381400 238826966 255886035 261387168 263897200 272278300 272945104 277092060 311175200 316676640 326733960 341181380 346365075 358240449 369456080 395845800 408417450 409417656 426476725 435645280 443347296 461820100 466762800 477653932 511772070 527794400 544556600 545890208 554184120 597067415 653467920 682362760 692730150 716480898 738912160 791691600 816834900 818835312 835894381 852953450 923640200 933525600 955307864 1023544140 1089113200 1108368240 1194134830 1279430175 1306935840 1364725520 1385460300 1432961796 1583383200 1633669800 1637670624 1671788762 1705906900 1791202245 1847280400 1910615728 2047088280 2178226400 2216736480 2388269660 2507683143 2558860350 2729451040 2770920600 2865923592 2985337075 3267339600 3343577524 3411813800 3582404490 3694560800 3821231456 4094176560 4179471905 4776539320 5015366286 5117720700 5541841200 5731847184 5970674150 6534679200 6687155048 6823627600 7164808980 8188353120 8358943810 8956011225 9553078640 10030732572 10235441400 11083682400 11463694368 11941348300 12538415715 13374310096 13647255200 14329617960 16717887620 17912022450 19106157280 20061465144 20470882800 20897359525 23882696600 25076831430 26748620192 28659235920 33435775240 35824044900 40122930288 40941765600 41794719050 47765393200 50153662860 57318471840 62692078575 66871550480 71648089800 80245860576 83589438100 95530786400 100307325720 125384157150 133743100960 143296179600 167178876200 200614651440 250768314300 286592359200 334357752400 401229302880 501536628600 668715504800 1003073257200 2006146514400
- Sum of all divisors σ(n): 7663058892216
- Sum of proper divisors (its aliquot sum) s(n): 5656912377816
- 2006146514400 is an abundant number, because the sum of its proper divisors (5656912377816) is greater than itself. Its abundance is 3650765863416
Bases of 2006146514400
- Binary: 111010011000101111010011001111101111000002
- Hexadecimal: 0x1D317A67DE0
- Base-36: PLLZU5EO
Squares and roots of 2006146514400
- 2006146514400 squared (20061465144002) is 4024623837239269407360000
- 2006146514400 cubed (20061465144003) is 8073985082848713240377817705984000000
-
The
square root of 2006146514400 is 1416385.0163002997 -
The
cube root of 2006146514400 is 12612.1041708921
Scales and comparisons
How big is 2006146514400?- 2,006,146,514,400 seconds is equal to 63,789 years, 13 weeks, 1 day, 8 hours, 40 minutes.
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To count from 1 to 2,006,146,514,400 would take you about one hundred fifty-nine thousand, four hundred seventy-three 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 2006146514400 cubic inches would be around 1051 feet tall.
Recreational maths with 2006146514400
- 2006146514400 backwards is 0044156416002
- The number of decimal digits it has is: 13
- The sum of 2006146514400's digits is 33
- More coming soon!
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The information we have on file for 2006146514400 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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