13800284928000
13,800,284,928,000 is an even composite number composed of four prime numbers multiplied together.
13800284928000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13800284928000:
211 × 37 × 53 × 1572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 157 × 157)See below for interesting mathematical facts about the number 13800284928000 from the Numbermatics database.
Names of 13800284928000
- Cardinal: 13800284928000 can be written as Thirteen trillion, eight hundred billion, two hundred eighty-four million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3800284928 × 1013
Factors of 13800284928000
Divisors of 13800284928000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 157 160 162 180 192 200 216 225 240 243 250 256 270 288 300 314 320 324 360 375 384 400 405 432 450 471 480 486 500 512 540 576 600 628 640 648 675 720 729 750 768 785 800 810 864 900 942 960 972 1000 1024 1080 1125 1152 1200 1215 1256 1280 1296 1350 1413 1440 1458 1500 1536 1570 1600 1620 1728 1800 1884 1920 1944 2000 2025 2048 2160 2187 2250 2304 2355 2400 2430 2512 2560 2592 2700 2826 2880 2916 3000 3072 3140 3200 3240 3375 3456 3600 3645 3768 3840 3888 3925 4000 4050 4239 4320 4374 4500 4608 4710 4800 4860 5024 5120 5184 5400 5652 5760 5832 6000 6075 6144 6280 6400 6480 6750 6912 7065 7200 7290 7536 7680 7776 7850 8000 8100 8478 8640 8748 9000 9216 9420 9600 9720 10048 10125 10240 10368 10800 10935 11304 11520 11664 11775 12000 12150 12560 12717 12800 12960 13500 13824 14130 14400 14580 15072 15360 15552 15700 16000 16200 16956 17280 17496 18000 18225 18432 18840 19200 19440 19625 20096 20250 20736 21195 21600 21870 22608 23040 23328 23550 24000 24300 24649 25120 25434 25600 25920 27000 27648 28260 28800 29160 30144 30375 30720 31104 31400 32000 32400 33912 34560 34992 35325 36000 36450 37680 38151 38400 38880 39250 40192 40500 41472 42390 43200 43740 45216 46080 46656 47100 48000 48600 49298 50240 50868 51200 51840 54000 54675 55296 56520 57600 58320 58875 60288 60750 62208 62800 63585 64000 64800 67824 69120 69984 70650 72000 72900 73947 75360 76302 76800 77760 78500 80384 81000 82944 84780 86400 87480 90432 91125 92160 93312 94200 96000 97200 98596 100480 101736 103680 105975 108000 109350 113040 114453 115200 116640 117750 120576 121500 123245 124416 125600 127170 128000 129600 135648 138240 139968 141300 144000 145800 147894 150720 152604 153600 155520 157000 160768 162000 165888 169560 172800 174960 176625 180864 182250 186624 188400 190755 192000 194400 197192 200960 203472 207360 211950 216000 218700 221841 226080 228906 230400 233280 235500 241152 243000 246490 248832 251200 254340 256000 259200 271296 273375 276480 279936 282600 288000 291600 295788 301440 305208 311040 314000 317925 321536 324000 339120 343359 345600 349920 353250 361728 364500 369735 373248 376800 381510 384000 388800 394384 401920 406944 414720 423900 432000 437400 443682 452160 457812 460800 466560 471000 482304 486000 492980 497664 502400 508680 518400 529875 542592 546750 559872 565200 572265 576000 583200 591576 602880 610416 616225 622080 628000 635850 648000 665523 678240 686718 691200 699840 706500 723456 729000 739470 746496 753600 763020 768000 777600 788768 803840 813888 829440 847800 864000 874800 887364 904320 915624 933120 942000 953775 964608 972000 985960 1004800 1017360 1036800 1059750 1085184 1093500 1109205 1119744 1130400 1144530 1152000 1166400 1183152 1205760 1220832 1232450 1244160 1256000 1271700 1296000 1331046 1356480 1373436 1382400 1399680 1413000 1446912 1458000 1478940 1492992 1507200 1526040 1555200 1577536 1589625 1607680 1627776 1695600 1716795 1728000 1749600 1774728 1808640 1831248 1848675 1866240 1884000 1907550 1944000 1971920 1996569 2009600 2034720 2073600 2119500 2170368 2187000 2218410 2239488 2260800 2289060 2304000 2332800 2366304 2411520 2441664 2464900 2488320 2512000 2543400 2592000 2662092 2712960 2746872 2799360 2826000 2861325 2893824 2916000 2957880 3014400 3052080 3081125 3110400 3155072 3179250 3255552 3327615 3391200 3433590 3456000 3499200 3549456 3617280 3662496 3697350 3732480 3768000 3815100 3888000 3943840 3993138 4019200 4069440 4147200 4239000 4340736 4374000 4436820 4478976 4521600 4578120 4665600 4732608 4768875 4823040 4883328 4929800 5024000 5086800 5184000 5324184 5425920 5493744 5546025 5598720 5652000 5722650 5832000 5915760 5989707 6028800 6104160 6162250 6220800 6310144 6358500 6511104 6655230 6782400 6867180 6912000 6998400 7098912 7234560 7324992 7394700 7464960 7536000 7630200 7776000 7887680 7986276 8038400 8138880 8478000 8583975 8681472 8748000 8873640 9043200 9156240 9243375 9331200 9465216 9537750 9766656 9859600 9982845 10048000 10173600 10368000 10648368 10851840 10987488 11092050 11197440 11304000 11445300 11664000 11831520 11979414 12057600 12208320 12324500 12441600 12620288 12717000 13022208 13310460 13564800 13734360 13996800 14197824 14306625 14469120 14649984 14789400 15072000 15260400 15552000 15775360 15972552 16277760 16638075 16956000 17167950 17496000 17747280 17969121 18086400 18312480 18486750 18662400 18930432 19075500 19533312 19719200 19965690 20096000 20347200 20736000 21296736 21703680 21974976 22184100 22394880 22608000 22890600 23328000 23663040 23958828 24115200 24416640 24649000 25240576 25434000 26044416 26620920 27129600 27468720 27730125 27993600 28395648 28613250 29299968 29578800 29948535 30144000 30520800 31104000 31550720 31945104 32555520 33276150 33912000 34335900 34992000 35494560 35938242 36172800 36624960 36973500 37324800 37860864 38151000 39066624 39438400 39931380 40192000 40694400 42593472 42919875 43407360 43949952 44368200 45216000 45781200 46656000 47326080 47917656 48833280 49298000 49914225 50481152 50868000 53241840 53907363 54259200 54937440 55460250 55987200 56791296 57226500 58599936 59157600 59897070 60288000 61041600 62208000 63101440 63890208 65111040 66552300 67824000 68671800 69984000 70989120 71876484 72345600 73249920 73947000 75721728 76302000 78133248 78876800 79862760 81388800 83190375 85186944 85839750 87899904 88736400 89845605 90432000 91562400 93312000 94652160 95835312 97666560 98596000 99828450 101736000 106483680 107814726 108518400 109874880 110920500 111974400 113582592 114453000 117199872 118315200 119794140 120576000 122083200 126202880 127780416 130222080 133104600 135648000 137343600 139968000 141978240 143752968 146499840 147894000 149742675 151443456 152604000 157753600 159725520 162777600 166380750 170373888 171679500 175799808 177472800 179691210 180864000 183124800 186624000 189304320 191670624 195333120 197192000 199656900 203472000 212967360 215629452 217036800 219749760 221841000 227165184 228906000 234399744 236630400 239588280 244166400 249571125 252405760 255560832 266209200 269536815 271296000 274687200 279936000 283956480 287505936 292999680 295788000 299485350 305208000 315507200 319451040 325555200 332761500 340747776 343359000 351599616 354945600 359382420 361728000 366249600 378608640 383341248 390666240 394384000 399313800 406944000 425934720 431258904 439499520 443682000 449228025 454330368 457812000 473260800 479176560 488332800 499142250 511121664 532418400 539073630 542592000 549374400 559872000 567912960 575011872 585999360 591576000 598970700 610416000 631014400 638902080 651110400 665523000 681495552 686718000 703199232 709891200 718764840 732499200 748713375 757217280 766682496 788768000 798627600 813888000 851869440 862517808 878999040 887364000 898456050 915624000 946521600 958353120 976665600 998284500 1022243328 1064836800 1078147260 1085184000 1098748800 1135825920 1150023744 1171998720 1183152000 1197941400 1220832000 1262028800 1277804160 1331046000 1347684075 1362991104 1373436000 1419782400 1437529680 1464998400 1497426750 1533364992 1577536000 1597255200 1627776000 1703738880 1725035616 1757998080 1774728000 1796912100 1831248000 1893043200 1916706240 1953331200 1996569000 2044486656 2129673600 2156294520 2197497600 2246140125 2271651840 2300047488 2366304000 2395882800 2441664000 2555608320 2662092000 2695368150 2746872000 2839564800 2875059360 2929996800 2994853500 3066729984 3155072000 3194510400 3255552000 3407477760 3450071232 3515996160 3549456000 3593824200 3662496000 3786086400 3833412480 3993138000 4088973312 4259347200 4312589040 4394995200 4492280250 4600094976 4732608000 4791765600 4883328000 5111216640 5324184000 5390736300 5493744000 5679129600 5750118720 5859993600 5989707000 6133459968 6310144000 6389020800 6738420375 6814955520 6900142464 7098912000 7187648400 7324992000 7666824960 7986276000 8518694400 8625178080 8789990400 8984560500 9200189952 9465216000 9583531200 9766656000 10222433280 10648368000 10781472600 10987488000 11358259200 11500237440 11979414000 12266919936 12778041600 13476840750 13800284928 14197824000 14375296800 14649984000 15333649920 15972552000 17037388800 17250356160 17579980800 17969121000 18400379904 18930432000 19167062400 20444866560 21296736000 21562945200 21974976000 23000474880 23958828000 25556083200 26953681500 27600569856 28395648000 28750593600 29299968000 30667299840 31945104000 34074777600 34500712320 35938242000 36800759808 38334124800 42593472000 43125890400 43949952000 46000949760 47917656000 51112166400 53907363000 55201139712 56791296000 57501187200 61334599680 63890208000 69001424640 71876484000 76668249600 85186944000 86251780800 87899904000 92001899520 95835312000 102224332800 107814726000 110402279424 115002374400 127780416000 138002849280 143752968000 153336499200 170373888000 172503561600 184003799040 191670624000 215629452000 230004748800 255560832000 276005698560 287505936000 306672998400 345007123200 383341248000 431258904000 460009497600 511121664000 552011397120 575011872000 690014246400 766682496000 862517808000 920018995200 1150023744000 1380028492800 1533364992000 1725035616000 2300047488000 2760056985600 3450071232000 4600094976000 6900142464000 13800284928000
- Sum of all divisors σ(n): 51978841387200
- Sum of proper divisors (its aliquot sum) s(n): 38178556459200
- 13800284928000 is an abundant number, because the sum of its proper divisors (38178556459200) is greater than itself. Its abundance is 24378271531200
Bases of 13800284928000
- Binary: 110010001101001000010001010010111000000000002
- Hexadecimal: 0xC8D2114B800
- Base-36: 4W3RHC000
Squares and roots of 13800284928000
- 13800284928000 squared (138002849280002) is 190447864093983965184000000
- 13800284928000 cubed (138002849280003) is 2628234788425999290202431946752000000000
-
The
square root of 13800284928000 is 3714873.4740230387 -
The
cube root of 13800284928000 is 23986.2681446713
Scales and comparisons
How big is 13800284928000?- 13,800,284,928,000 seconds is equal to 438,806 years, 19 weeks, 3 days.
-
To count from 1 to 13,800,284,928,000 would take you about one million, ninety-seven thousand and fifteen 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 13800284928000 cubic inches would be around 1998.9 feet tall.
Recreational maths with 13800284928000
- 13800284928000 backwards is 00082948200831
- 13800284928000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13800284928000's digits is 45
- More coming soon!
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The information we have on file for 13800284928000 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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