2138817744000
2,138,817,744,000 is an even composite number composed of five prime numbers multiplied together.
2138817744000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 2138817744000:
27 × 33 × 53 × 7 × 294
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 2138817744000 from the Numbermatics database.
Names of 2138817744000
- Cardinal: 2138817744000 can be written as Two trillion, one hundred thirty-eight billion, eight hundred seventeen million, seven hundred forty-four thousand.
Scientific notation
- Scientific notation: 2.138817744 × 1012
Factors of 2138817744000
Divisors of 2138817744000
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 29 30 32 35 36 40 42 45 48 50 54 56 58 60 63 64 70 72 75 80 84 87 90 96 100 105 108 112 116 120 125 126 128 135 140 144 145 150 160 168 174 175 180 189 192 200 203 210 216 224 225 232 240 250 252 261 270 280 288 290 300 315 320 336 348 350 360 375 378 384 400 406 420 432 435 448 450 464 480 500 504 522 525 540 560 576 580 600 609 630 640 672 675 696 700 720 725 750 756 783 800 812 840 841 864 870 875 896 900 928 945 960 1000 1008 1015 1044 1050 1080 1120 1125 1152 1160 1200 1218 1260 1305 1344 1350 1392 1400 1440 1450 1500 1512 1566 1575 1600 1624 1680 1682 1728 1740 1750 1800 1827 1856 1890 1920 2000 2016 2030 2088 2100 2160 2175 2240 2250 2320 2400 2436 2520 2523 2610 2625 2688 2700 2784 2800 2880 2900 3000 3024 3045 3132 3150 3200 3248 3360 3364 3375 3456 3480 3500 3600 3625 3654 3712 3780 3915 4000 4032 4060 4176 4200 4205 4320 4350 4480 4500 4640 4725 4800 4872 5040 5046 5075 5220 5250 5400 5481 5568 5600 5760 5800 5887 6000 6048 6090 6264 6300 6496 6525 6720 6728 6750 6960 7000 7200 7250 7308 7560 7569 7830 7875 8000 8064 8120 8352 8400 8410 8640 8700 9000 9135 9280 9450 9600 9744 10080 10092 10150 10440 10500 10800 10875 10962 11136 11200 11600 11774 12000 12096 12180 12528 12600 12615 12992 13050 13440 13456 13500 13920 14000 14400 14500 14616 15120 15138 15225 15660 15750 16000 16240 16704 16800 16820 17280 17400 17661 18000 18270 18560 18900 19488 19575 20160 20184 20300 20880 21000 21025 21600 21750 21924 22400 22707 23200 23548 23625 24000 24192 24360 24389 25056 25200 25230 25375 25984 26100 26912 27000 27405 27840 28000 28800 29000 29232 29435 30240 30276 30450 31320 31500 32480 32625 33408 33600 33640 34800 35322 36000 36540 37800 37845 38976 39150 40320 40368 40600 41760 42000 42050 43200 43500 43848 45414 45675 46400 47096 47250 48000 48720 48778 50112 50400 50460 50750 52200 52983 53824 54000 54810 55680 56000 58000 58464 58870 60480 60552 60900 62640 63000 63075 64960 65250 67200 67280 69600 70644 72000 73080 73167 75600 75690 76125 77952 78300 80736 81200 83520 84000 84100 86400 87000 87696 88305 90828 91350 92800 94192 94500 97440 97556 97875 100224 100800 100920 101500 104400 105125 105966 107648 108000 109620 112000 113535 116000 116928 117740 120960 121104 121800 121945 125280 126000 126150 129920 130500 134560 137025 139200 141288 144000 146160 146334 147175 151200 151380 152250 156600 158949 161472 162400 167040 168000 168200 170723 174000 175392 176610 181656 182700 188384 189000 189225 194880 195112 195750 201600 201840 203000 208800 210250 211932 216000 219240 219501 227070 228375 232000 233856 235480 242208 243600 243890 250560 252000 252300 261000 264915 269120 274050 278400 282576 292320 292668 294350 302400 302760 304500 313200 315375 317898 322944 324800 336000 336400 341446 348000 350784 353220 363312 365400 365835 376768 378000 378450 389760 390224 391500 403680 406000 417600 420500 423864 432000 438480 439002 441525 454140 456750 464000 470960 484416 487200 487780 501120 504000 504600 512169 522000 529830 538240 548100 565152 567675 584640 585336 588700 604800 605520 609000 609725 626400 630750 635796 649600 658503 672800 682892 685125 696000 701568 706440 707281 726624 730800 731670 735875 753536 756000 756900 780448 783000 794745 807360 812000 835200 841000 847728 853615 876960 878004 883050 908280 913500 941920 946125 968832 974400 975560 1008000 1009200 1024338 1044000 1059660 1096200 1097505 1130304 1135350 1169280 1170672 1177400 1211040 1218000 1219450 1252800 1261500 1271592 1317006 1324575 1345600 1365784 1370250 1392000 1412880 1414562 1453248 1461600 1463340 1471750 1512000 1513800 1536507 1560896 1566000 1589490 1614720 1624000 1682000 1695456 1707230 1753920 1756008 1766100 1816560 1827000 1829175 1883840 1892250 1948800 1951120 2018400 2048676 2088000 2119320 2121843 2192400 2195010 2207625 2260608 2270700 2341344 2354800 2422080 2436000 2438900 2505600 2523000 2543184 2560845 2634012 2649150 2691200 2731568 2740500 2825760 2829124 2838375 2906496 2923200 2926680 2943500 3024000 3027600 3048625 3073014 3121792 3132000 3178980 3248000 3292515 3364000 3390912 3414460 3507840 3512016 3532200 3536405 3633120 3654000 3658350 3767680 3784500 3902240 3973725 4036800 4097352 4176000 4238640 4243686 4268075 4384800 4390020 4415250 4541400 4609521 4682688 4709600 4844160 4872000 4877800 4950967 5046000 5086368 5121690 5268024 5298300 5463136 5481000 5487525 5651520 5658248 5676750 5846400 5853360 5887000 6055200 6097250 6146028 6264000 6357960 6365529 6585030 6622875 6728000 6781824 6828920 7024032 7064400 7072810 7266240 7308000 7316700 7569000 7682535 7804480 7947450 8073600 8194704 8477280 8487372 8536150 8769600 8780040 8830500 9082800 9145875 9219042 9365376 9419200 9744000 9755600 9901934 10092000 10172736 10243380 10536048 10596600 10609215 10926272 10962000 10975050 11303040 11316496 11353500 11706720 11774000 12110400 12194500 12292056 12528000 12715920 12731058 12804225 13170060 13245750 13456000 13657840 14048064 14128800 14145620 14532480 14616000 14633400 14852901 15138000 15365070 15608960 15894900 16389408 16462575 16954560 16974744 17072300 17539200 17560080 17661000 17682025 18165600 18291750 18438084 18838400 19096587 19511200 19803868 19868625 20184000 20345472 20486760 21072096 21193200 21218430 21340375 21852544 21924000 21950100 22632992 22707000 23047605 23413440 23548000 24220800 24389000 24584112 24754835 25431840 25462116 25608450 26340120 26491500 27315680 27437625 28096128 28257600 28291240 29232000 29266800 29705802 30276000 30730140 31789800 31827645 32778816 32925150 33909120 33949488 34144600 35120160 35322000 35364050 36331200 36583500 36876168 38193174 38412675 39022400 39607736 39737250 40368000 40973520 42144192 42386400 42436860 42680750 43848000 43900200 44558703 45265984 45414000 46095210 46826880 47096000 48778000 49168224 49509670 50863680 50924232 51216900 52680240 52983000 53046075 54631360 54875250 56515200 56582480 58533600 59411604 60552000 61460280 63579600 63655290 64021125 65557632 65850300 67898976 68289200 70240320 70644000 70728100 72662400 73167000 73752336 74264505 76386348 76825350 78044800 79215472 79474500 81947040 82312875 84288384 84772800 84873720 85361500 87696000 87800400 88410125 89117406 90531968 90828000 92190420 94192000 95482935 97556000 98336448 99019340 101727360 101848464 102433800 105360480 105966000 106092150 109262720 109750500 113164960 115238025 117067200 118823208 121104000 122920560 123774175 127159200 127310580 128042250 131700600 133676109 135797952 136578400 140480640 141288000 141456200 146334000 147504672 148529010 152772696 153650700 158430944 158949000 159138225 163894080 164625750 169545600 169747440 170723000 175600800 176820250 178234812 181656000 184380840 190965870 192063375 195112000 196672896 198038680 203696928 204867600 210720960 211932000 212184300 219501000 222793515 226329920 230476050 234134400 237646416 245841120 247548350 254318400 254621160 256084500 263401200 265230375 267352218 271595904 273156800 282576000 282912400 292668000 295009344 297058020 305545392 307301400 316861888 317898000 318276450 327788160 329251500 339494880 341446000 351201600 353640500 356469624 363312000 368761680 371322525 381931740 384126750 390224000 396077360 407393856 409735200 421441920 423864000 424368600 439002000 445587030 452659840 460952100 475292832 477414675 491682240 495096700 508636800 509242320 512169000 526802400 530460750 534704436 546313600 565824800 576190125 585336000 590018688 594116040 611090784 614602800 618870875 633723776 635796000 636552900 658503000 668380545 678989760 682892000 702403200 707281000 712939248 737523360 742645050 763863480 768253500 792154720 795691125 814787712 819470400 847728000 848737200 878004000 891174060 921904200 950585664 954829350 983364480 990193400 1018484640 1024338000 1053604800 1060921500 1069408872 1113967575 1131649600 1152380250 1170672000 1188232080 1222181568 1229205600 1237741750 1271592000 1273105800 1317006000 1336761090 1357979520 1365784000 1414562000 1425878496 1475046720 1485290100 1527726960 1536507000 1584309440 1591382250 1638940800 1697474400 1756008000 1782348120 1843808400 1856612625 1901171328 1909658700 1980386800 2036969280 2048676000 2107209600 2121843000 2138817744 2227935150 2263299200 2304760500 2376464160 2387073375 2444363136 2458411200 2475483500 2543184000 2546211600 2634012000 2673522180 2731568000 2829124000 2851756992 2950093440 2970580200 3055453920 3073014000 3168618880 3182764500 3341902725 3394948800 3512016000 3564696240 3687616800 3713225250 3819317400 3960773600 4073938560 4097352000 4243686000 4277635488 4455870300 4609521000 4752928320 4774146750 4916822400 4950967000 5092423200 5268024000 5347044360 5569837875 5658248000 5703513984 5941160400 6110907840 6146028000 6365529000 6683805450 6789897600 7129392480 7375233600 7426450500 7638634800 7921547200 8194704000 8487372000 8555270976 8911740600 9219042000 9505856640 9548293500 9901934000 10184846400 10536048000 10694088720 11139675750 11316496000 11882320800 12221815680 12292056000 12731058000 13367610900 14258784960 14750467200 14852901000 15277269600 15843094400 16709513625 16974744000 17110541952 17823481200 18438084000 19096587000 19803868000 20369692800 21388177440 22279351500 23764641600 24584112000 25462116000 26735221800 28517569920 29705802000 30554539200 33419027250 33949488000 35646962400 36876168000 38193174000 39607736000 42776354880 44558703000 47529283200 50924232000 53470443600 59411604000 61109078400 66838054500 71293924800 73752336000 76386348000 79215472000 85552709760 89117406000 101848464000 106940887200 118823208000 133676109000 142587849600 152772696000 178234812000 213881774400 237646416000 267352218000 305545392000 356469624000 427763548800 534704436000 712939248000 1069408872000 2138817744000
- Sum of all divisors σ(n): 9324953913600
- Sum of proper divisors (its aliquot sum) s(n): 7186136169600
- 2138817744000 is an abundant number, because the sum of its proper divisors (7186136169600) is greater than itself. Its abundance is 5047318425600
Bases of 2138817744000
- Binary: 111110001111110110111100011001100100000002
- Hexadecimal: 0x1F1FB78CC80
- Base-36: RAK4V1C0
Squares and roots of 2138817744000
- 2138817744000 squared (21388177440002) is 4574541342049249536000000
- 2138817744000 cubed (21388177440003) is 9784110193036508229480566784000000000
-
The
square root of 2138817744000 is 1462469.7412254381 -
The
cube root of 2138817744000 is 12884.2138971085
Scales and comparisons
How big is 2138817744000?- 2,138,817,744,000 seconds is equal to 68,007 years, 41 weeks.
-
To count from 1 to 2,138,817,744,000 would take you about one hundred seventy thousand and nineteen 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 2138817744000 cubic inches would be around 1073.7 feet tall.
Recreational maths with 2138817744000
- 2138817744000 backwards is 0004477188312
- 2138817744000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2138817744000's digits is 45
- More coming soon!
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The information we have on file for 2138817744000 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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