2138052518400
2,138,052,518,400 is an even composite number composed of seven prime numbers multiplied together.
2138052518400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 2138052518400:
29 × 3 × 52 × 172 × 37 × 41 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 17 × 37 × 41 × 127)See below for interesting mathematical facts about the number 2138052518400 from the Numbermatics database.
Names of 2138052518400
- Cardinal: 2138052518400 can be written as Two trillion, one hundred thirty-eight billion, fifty-two million, five hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 2.1380525184 × 1012
Factors of 2138052518400
Divisors of 2138052518400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 37 40 41 48 50 51 60 64 68 74 75 80 82 85 96 100 102 111 120 123 127 128 136 148 150 160 164 170 185 192 200 204 205 222 240 246 254 255 256 272 289 296 300 320 328 340 370 381 384 400 408 410 425 444 480 492 508 510 512 544 555 578 592 600 615 629 635 640 656 680 697 740 762 768 800 816 820 850 867 888 925 960 984 1016 1020 1025 1088 1110 1156 1184 1200 1230 1258 1270 1275 1280 1312 1360 1394 1445 1480 1517 1524 1536 1600 1632 1640 1700 1734 1776 1850 1887 1905 1920 1968 2032 2040 2050 2091 2159 2176 2220 2312 2368 2400 2460 2516 2540 2550 2560 2624 2720 2775 2788 2890 2960 3034 3048 3075 3145 3175 3200 3264 3280 3400 3468 3485 3552 3700 3774 3810 3840 3936 4064 4080 4100 4182 4318 4335 4352 4440 4551 4624 4699 4736 4800 4920 5032 5080 5100 5207 5248 5440 5550 5576 5780 5920 6068 6096 6150 6290 6350 6400 6477 6528 6560 6800 6936 6970 7104 7225 7400 7548 7585 7620 7680 7872 8128 8160 8200 8364 8636 8670 8704 8880 9102 9248 9398 9435 9472 9525 9600 9840 10064 10160 10200 10414 10455 10496 10693 10795 10880 11100 11152 11560 11840 11849 12136 12192 12300 12580 12700 12800 12954 13056 13120 13600 13872 13940 14097 14208 14450 14800 15096 15170 15240 15621 15725 15744 16256 16320 16400 16728 17272 17340 17425 17760 18204 18496 18796 18870 18944 19050 19200 19680 20128 20320 20400 20828 20910 20992 21386 21590 21675 21760 22200 22304 22755 23120 23495 23680 23698 24272 24384 24600 25160 25400 25789 25908 26035 26112 26240 27200 27744 27880 28194 28416 28900 29600 30192 30340 30480 31242 31450 31488 32079 32385 32512 32640 32800 33456 34544 34680 34850 35520 35547 36408 36703 36992 37592 37740 37925 38100 38400 39360 40256 40640 40800 41656 41820 42772 43180 43350 43520 44400 44608 45510 46240 46990 47175 47360 47396 48544 48768 49200 50320 50800 51578 51816 52070 52275 52480 53465 53975 54400 55488 55760 56388 56832 57800 59200 59245 60384 60680 60960 62484 62900 62976 64158 64770 65024 65280 65600 66912 69088 69360 69700 70485 71040 71094 72816 73406 73984 75184 75480 75850 76200 77367 78105 78720 79883 80512 81280 81600 83312 83640 85544 86360 86700 88519 88800 89216 91020 92480 93980 94350 94720 94792 97088 97536 98400 100640 101600 103156 103632 104140 104550 104960 106930 107950 108800 110109 110976 111520 112776 113775 115600 117475 118400 118490 120768 121360 121920 124968 125800 128316 128945 129540 130175 130560 131200 133824 138176 138720 139400 140970 142080 142188 145632 146812 147968 150368 150960 151700 152400 154734 156210 157440 159766 160395 161024 161925 162560 163200 166624 167280 171088 172720 173400 177038 177600 177735 178432 182040 183515 184960 187960 188700 189584 192659 194176 195072 196800 201280 203200 206312 207264 208280 209100 213860 215900 217600 220218 221952 223040 225552 227550 231200 234950 236800 236980 239649 241536 242720 243840 249936 251600 256632 257890 259080 260350 262400 265557 267325 267648 276352 277440 278800 281940 284160 284376 291264 293624 296225 300736 301920 303400 304800 309468 312420 314880 319532 320790 322048 323850 325120 326400 333248 334560 342176 345440 346800 352425 354076 355200 355470 356864 364080 367030 369920 375920 377400 379168 385318 386835 388352 390525 393600 399415 402560 406400 412624 414528 416560 418200 427720 431800 438413 440436 442595 443904 446080 451104 455100 462400 469900 473600 473960 479298 483072 485440 487680 499872 503200 513264 515780 518160 520700 524800 531114 534650 535296 550545 552704 554880 557600 563880 568752 577977 582528 587248 592450 601472 603840 606800 609600 618936 624840 639064 641580 644725 647700 652800 666496 669120 684352 690880 693600 704850 708152 710400 710940 728160 734060 739840 751840 754800 758336 770636 773670 776704 781050 787200 798830 801975 805120 812800 825248 829056 833120 836400 855440 863600 876826 880872 885190 888675 892160 902208 910200 917575 924800 939800 947920 958596 963295 966144 970880 975360 999744 1006400 1026528 1031560 1036320 1041400 1062228 1069300 1070592 1101090 1105408 1109760 1115200 1127760 1137504 1155954 1165056 1174496 1184900 1198245 1202944 1207680 1213600 1219200 1237872 1249680 1278128 1283160 1289450 1295400 1315239 1327785 1332992 1338240 1358011 1368704 1381760 1387200 1409700 1416304 1420800 1421880 1456320 1468120 1503680 1504823 1509600 1516672 1541272 1547340 1562100 1574400 1597660 1603950 1610240 1625600 1650496 1658112 1666240 1672800 1710880 1727200 1753652 1761744 1770380 1777350 1784320 1804416 1820400 1835150 1849600 1879600 1895840 1917192 1926590 1934175 1941760 1997075 1999488 2012800 2053056 2063120 2072640 2082800 2124456 2138600 2192065 2202180 2212975 2219520 2230400 2255520 2275008 2311908 2330112 2348992 2369800 2396490 2405888 2415360 2427200 2438400 2475744 2499360 2556256 2566320 2578900 2590800 2630478 2655570 2665984 2676480 2716022 2737408 2752725 2763520 2774400 2819400 2832608 2843760 2889885 2912640 2936240 3007360 3009646 3019200 3033344 3082544 3094680 3124200 3195320 3207900 3275203 3300992 3316224 3332480 3345600 3421760 3454400 3507304 3523488 3540760 3554700 3608832 3640800 3670300 3699200 3759200 3791680 3834384 3853180 3868350 3883520 3994150 3998976 4025600 4074033 4106112 4126240 4145280 4165600 4248912 4277200 4384130 4404360 4425950 4460800 4511040 4514469 4550016 4623816 4697984 4739600 4792980 4816475 4830720 4854400 4876800 4951488 4998720 5112512 5132640 5157800 5181600 5260956 5311140 5352960 5432044 5474816 5505450 5527040 5548800 5638800 5665216 5687520 5779770 5825280 5872480 5991225 6014720 6019292 6038400 6066688 6165088 6189360 6248400 6390640 6415800 6550406 6576195 6601984 6638925 6664960 6691200 6790055 6843520 6908800 7014608 7046976 7081520 7109400 7217664 7281600 7340600 7518400 7524115 7583360 7668768 7706360 7736700 7988300 7997952 8051200 8148066 8212224 8252480 8290560 8331200 8497824 8554400 8768260 8808720 8851900 8921600 9022080 9028938 9100032 9247632 9395968 9479200 9585960 9632950 9708800 9825609 9902976 9997440 10225024 10265280 10315600 10363200 10521912 10622280 10864088 10960325 11010900 11097600 11277600 11330432 11375040 11559540 11650560 11744960 11982450 12029440 12038584 12076800 12330176 12378720 12496800 12781280 12831600 13100812 13152390 13203968 13277850 13329920 13382400 13580110 13687040 13817600 14029216 14093952 14163040 14218800 14449425 14563200 14681200 15036800 15048230 15166720 15337536 15412720 15473400 15976600 16296132 16376015 16424448 16504960 16581120 16662400 16995648 17108800 17536520 17617440 17703800 18044160 18057876 18200064 18495264 18791936 18958400 19171920 19265900 19417600 19651218 19805952 19994880 20370165 20450048 20530560 20631200 20726400 21043824 21244560 21728176 21920650 22021800 22555200 22572345 22660864 22750080 23119080 23489920 23964900 24077168 24153600 24660352 24757440 24993600 25562560 25663200 26201624 26304780 26555700 26764800 27160220 27374080 27635200 28058432 28187904 28326080 28437600 28898850 29126400 29362400 30073600 30096460 30333440 30675072 30825440 30946800 31953200 32592264 32752030 32880975 33009920 33324800 33950275 33991296 34217600 35073040 35234880 35407600 36088320 36115752 36990528 37620575 37916800 38343840 38531800 39302436 39611904 39989760 40740330 40900096 41061120 41262400 41452800 42087648 42489120 43456352 43841300 44043600 45110400 45144690 45321728 45500160 46238160 46979840 47929800 48154336 49128045 49320704 49514880 49987200 51125120 51326400 52403248 52609560 53111400 54320440 55678451 56116864 56375808 56652160 56875200 57797700 58252800 58724800 60147200 60192920 61350144 61650880 61893600 63906400 65184528 65504060 65761950 66019840 66649600 67900550 67982592 68435200 70146080 70469760 70815200 72231504 73981056 75241150 75833600 76687680 77063600 78604872 81480660 81880075 82122240 82524800 82905600 84175296 84978240 86912704 87682600 88087200 90220800 90289380 91000320 92476320 93959680 95859600 96308672 98256090 98641408 99029760 99974400 101850825 102250240 102652800 104806496 105219120 106222800 108640880 111356902 112233728 112861725 113304320 113750400 115595400 117449600 120385840 122700288 123301760 123787200 127812800 130369056 131008120 131523900 135801100 135965184 136870400 140292160 140939520 141630400 144463008 147962112 150482300 151667200 153375360 154127200 157209744 162961320 163760150 165049600 167035353 168350592 169956480 173825408 175365200 176174400 180441600 180578760 184952640 191719200 192617344 196512180 198059520 199948800 203701650 204500480 205305600 209612992 210438240 212445600 217281760 222713804 224467456 225723450 226608640 227500800 231190800 234899200 240771680 245640225 246603520 247574400 255625600 260738112 262016240 263047800 271602200 278392255 280584320 281879040 283260800 288926016 295924224 300964600 306750720 308254400 314419488 325922640 327520300 330099200 334070706 336701184 339912960 347650816 350730400 352348800 361157520 369905280 383438400 385234688 393024360 407403300 410611200 419225984 420876480 424891200 434563520 445427608 451446900 455001600 462381600 469798400 481543360 491280450 493207040 495148800 511251200 521476224 524032480 526095600 543204400 556784510 561168640 566521600 577852032 601929200 613501440 616508800 628838976 651845280 655040600 668141412 673402368 679825920 695301632 701460800 704697600 722315040 739810560 766876800 770469376 786048720 814806600 835176765 838451968 841752960 849782400 869127040 890855216 902893800 924763200 963086720 982560900 990297600 1022502400 1042952448 1048064960 1052191200 1086408800 1113569020 1122337280 1133043200 1155704064 1203858400 1233017600 1257677952 1303690560 1310081200 1336282824 1391961275 1402921600 1409395200 1444630080 1479621120 1533753600 1572097440 1629613200 1670353530 1676903936 1683505920 1699564800 1738254080 1781710432 1805787600 1849526400 1926173440 1965121800 2085904896 2096129920 2104382400 2172817600 2227138040 2311408128 2407716800 2466035200 2515355904 2607381120 2620162400 2672565648 2783922550 2805843200 2889260160 3067507200 3144194880 3259226400 3340707060 3367011840 3399129600 3476508160 3563420864 3611575200 3699052800 3852346880 3930243600 4175883825 4192259840 4208764800 4345635200 4454276080 4815433600 5030711808 5214762240 5240324800 5345131296 5567845100 5611686400 5778520320 6288389760 6518452800 6681414120 7126841728 7223150400 7398105600 7860487200 8351767650 8384519680 8417529600 8691270400 8908552160 9630867200 10429524480 10480649600 10690262592 11135690200 11557040640 12576779520 13036905600 13362828240 14253683456 14446300800 15720974400 16703535300 16835059200 17382540800 17817104320 19261734400 20961299200 21380525184 22271380400 25153559040 26073811200 26725656480 28507366912 28892601600 31441948800 33407070600 35634208640 41922598400 42761050368 44542760800 52147622400 53451312960 57785203200 62883897600 66814141200 71268417280 85522100736 89085521600 106902625920 125767795200 133628282400 142536834560 178171043200 213805251840 267256564800 356342086400 427610503680 534513129600 712684172800 1069026259200 2138052518400
- Sum of all divisors σ(n): 7955702802432
- Sum of proper divisors (its aliquot sum) s(n): 5817650284032
- 2138052518400 is an abundant number, because the sum of its proper divisors (5817650284032) is greater than itself. Its abundance is 3679597765632
Bases of 2138052518400
- Binary: 111110001110011011101110001100010000000002
- Hexadecimal: 0x1F1CDDC6200
- Base-36: RA7H9LHC
Squares and roots of 2138052518400
- 2138052518400 squared (21380525184002) is 4571268571436582338560000
- 2138052518400 cubed (21380525184003) is 9773612281442755174847169429504000000
-
The
square root of 2138052518400 is 1462208.0968179597 -
The
cube root of 2138052518400 is 12882.6771437013
Scales and comparisons
How big is 2138052518400?- 2,138,052,518,400 seconds is equal to 67,983 years, 23 weeks, 5 days, 5 hours, 20 minutes.
-
To count from 1 to 2,138,052,518,400 would take you about one hundred sixty-nine thousand, nine hundred fifty-eight 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 2138052518400 cubic inches would be around 1073.6 feet tall.
Recreational maths with 2138052518400
- 2138052518400 backwards is 0048152508312
- The number of decimal digits it has is: 13
- The sum of 2138052518400's digits is 39
- More coming soon!
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The information we have on file for 2138052518400 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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