1312993884800
1,312,993,884,800 is an even composite number composed of seven prime numbers multiplied together.
1312993884800 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 1312993884800:
27 × 52 × 13 × 17 × 29 × 73 × 877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 29 × 73 × 877)See below for interesting mathematical facts about the number 1312993884800 from the Numbermatics database.
Names of 1312993884800
- Cardinal: 1312993884800 can be written as One trillion, three hundred twelve billion, nine hundred ninety-three million, eight hundred eighty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.3129938848 × 1012
Factors of 1312993884800
Divisors of 1312993884800
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 29 32 34 40 50 52 58 64 65 68 73 80 85 100 104 116 128 130 136 145 146 160 170 200 208 221 232 260 272 290 292 320 325 340 365 377 400 416 425 442 464 493 520 544 580 584 640 650 680 725 730 754 800 832 850 877 884 928 949 986 1040 1088 1105 1160 1168 1241 1300 1360 1450 1460 1508 1600 1664 1700 1754 1768 1825 1856 1885 1898 1972 2080 2117 2176 2210 2320 2336 2465 2482 2600 2720 2900 2920 3016 3200 3400 3508 3536 3650 3712 3770 3796 3944 4160 4234 4385 4420 4640 4672 4745 4930 4964 5200 5440 5525 5800 5840 6032 6205 6409 6800 7016 7072 7300 7540 7592 7888 8320 8468 8770 8840 9280 9344 9425 9490 9860 9928 10400 10585 10880 11050 11401 11600 11680 12064 12325 12410 12818 13600 14032 14144 14600 14909 15080 15184 15776 16133 16936 17540 17680 18560 18850 18980 19720 19856 20800 21170 21925 22100 22802 23200 23360 23725 24128 24650 24820 25433 25636 27200 27521 28064 28288 29200 29818 30160 30368 31025 31552 32045 32266 33872 35080 35360 35989 37700 37960 39440 39712 41600 42340 43850 44200 45604 46400 46720 47450 48256 49300 49640 50866 51272 52925 54400 55042 56128 57005 58400 59636 60320 60736 62050 63104 64021 64090 64532 67744 70160 70720 71978 74545 75400 75920 78880 79424 80665 84680 87700 88400 91208 92800 94900 98600 99280 101732 102544 105850 110084 112256 114010 116800 119272 120640 121472 124100 127165 128042 128180 129064 135488 137605 140320 141440 143956 149090 150800 151840 157760 158848 160225 161330 169360 175400 176800 179945 182416 189800 193817 197200 198560 203464 205088 211700 220168 228020 233600 238544 241280 248200 254330 256084 256360 258128 270976 275210 280640 285025 287912 298180 301600 303680 315520 320105 320450 322660 330629 338720 350800 353600 359890 364832 372725 379600 387634 394400 397120 403325 406928 410176 423400 432361 440336 456040 467857 477088 496400 508660 512168 512720 516256 550420 561280 570050 575824 596360 603200 607360 635825 640210 640900 645320 661258 677440 688025 701600 707200 719780 729664 745450 759200 775268 788800 794240 806650 813856 820352 832273 846800 864722 880672 899725 912080 935714 954176 969085 992800 1017320 1024336 1025440 1032512 1088357 1100840 1140100 1151648 1192720 1206400 1271650 1280420 1281800 1290640 1322516 1354880 1376050 1403200 1439560 1459328 1490900 1518400 1550536 1577600 1600525 1613300 1627712 1653145 1664546 1693600 1729444 1761344 1799450 1824160 1856609 1871428 1908352 1938170 1985600 2034640 2048672 2050880 2065024 2161805 2176714 2201680 2280200 2303296 2339285 2385440 2543300 2560840 2563600 2581280 2645032 2752100 2806400 2879120 2981800 3036800 3101072 3201050 3226600 3255424 3306290 3329092 3387200 3458888 3522688 3598900 3648320 3713218 3742856 3876340 3971200 4069280 4097344 4101760 4161365 4323610 4353428 4403360 4560400 4606592 4678570 4770880 4845425 5086600 5121680 5127200 5162560 5290064 5441785 5504200 5620693 5758240 5963600 6202144 6402100 6453200 6612580 6658184 6774400 6917776 7197800 7296640 7426436 7485712 7752680 8138560 8194688 8265725 8322730 8647220 8706856 8806720 9120800 9283045 9357140 9541760 9690850 10173200 10243360 10254400 10325120 10580128 10809025 10883570 11008400 11241386 11516480 11696425 11927200 12404288 12804200 12906400 13225160 13316368 13835552 14148641 14395600 14852872 14971424 15505360 16277120 16531450 16645460 17294440 17413712 17613440 18241600 18566090 18714280 19381700 20346400 20486720 20508800 20806825 21160256 21618050 21767140 22016800 22482772 23032960 23392850 23854400 24135917 24808576 25608400 25812800 26450320 26632736 27208925 27671104 28103465 28297282 28791200 29705744 29942848 31010720 31562353 33062900 33290920 34588880 34827424 36483200 37132180 37428560 38763400 40692800 40973440 41613650 42320512 43236100 43534280 44033600 44965544 46415225 46785700 47708800 48271834 51216800 51625600 52900640 53265472 54417850 55342208 56206930 56594564 57582400 59411488 59885696 62021440 63124706 66125800 66581840 69177760 69654848 70743205 74264360 74857120 77526800 81385600 83227300 86472200 87068560 88067200 89931088 92830450 93571400 96543668 102433600 105801280 106530944 108835700 112413860 113189128 115164800 118822976 120679585 124042880 126249412 132251600 133163680 138355520 139309696 140517325 141486410 148528720 149714240 155053600 157811765 166454600 172944400 174137120 179862176 185660900 187142800 193087336 204867200 211602560 217671400 224827720 226378256 237645952 241359170 252498824 264503200 266327360 276711040 281034650 282972820 297057440 299428480 310107200 315623530 332909200 345888800 348274240 353716025 359724352 371321800 374285600 386174672 410310589 435342800 449655440 452756512 482718340 504997648 529006400 532654720 562069300 565945640 594114880 603397925 620214400 631247060 665818400 691777600 696548480 707432050 719448704 742643600 748571200 772349344 789058825 820621178 870685600 899310880 905513024 965436680 1009995296 1058012800 1124138600 1131891280 1188229760 1206795850 1262494120 1331636800 1383555200 1414864100 1485287200 1497142400 1544698688 1578117650 1641242356 1741371200 1798621760 1811026048 1930873360 2019990592 2051552945 2248277200 2263782560 2413591700 2524988240 2663273600 2829728200 2970574400 3089397376 3156235300 3282484712 3482742400 3597243520 3861746720 4039981184 4103105890 4496554400 4527565120 4827183400 5049976480 5659456400 5941148800 6312470600 6564969424 7723493440 8206211780 8993108800 9055130240 9654366800 10099952960 10257764725 11318912800 12624941200 13129938848 15446986880 16412423560 17986217600 19308733600 20199905920 20515529450 22637825600 25249882400 26259877696 32824847120 38617467200 41031058900 45275651200 50499764800 52519755392 65649694240 77234934400 82062117800 100999529600 131299388480 164124235600 262598776960 328248471200 656496942400 1312993884800
- Sum of all divisors σ(n): 3882843669600
- Sum of proper divisors (its aliquot sum) s(n): 2569849784800
- 1312993884800 is an abundant number, because the sum of its proper divisors (2569849784800) is greater than itself. Its abundance is 1256855900000
Bases of 1312993884800
- Binary: 100110001101101001000100010111010100000002
- Hexadecimal: 0x131B488BA80
- Base-36: GR6INPFK
Squares and roots of 1312993884800
- 1312993884800 squared (13129938848002) is 1723952941522195671040000
- 1312993884800 cubed (13129938848003) is 2263539669901614919544552456192000000
-
The
square root of 1312993884800 is 1145859.4524635209 -
The
cube root of 1312993884800 is 10950.1709968221
Scales and comparisons
How big is 1312993884800?- 1,312,993,884,800 seconds is equal to 41,749 years, 7 weeks, 3 days, 11 hours, 33 minutes, 20 seconds.
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To count from 1 to 1,312,993,884,800 would take you about one hundred four thousand, three hundred seventy-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 1312993884800 cubic inches would be around 912.5 feet tall.
Recreational maths with 1312993884800
- 1312993884800 backwards is 0084883992131
- The number of decimal digits it has is: 13
- The sum of 1312993884800's digits is 56
- More coming soon!
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The information we have on file for 1312993884800 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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