2138093971200
2,138,093,971,200 is an even composite number composed of seven prime numbers multiplied together.
2138093971200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 2138093971200:
28 × 33 × 52 × 11 × 17 × 127 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 17 × 127 × 521)See below for interesting mathematical facts about the number 2138093971200 from the Numbermatics database.
Names of 2138093971200
- Cardinal: 2138093971200 can be written as Two trillion, one hundred thirty-eight billion, ninety-three million, nine hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 2.1380939712 × 1012
Factors of 2138093971200
Divisors of 2138093971200
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 27 30 32 33 34 36 40 44 45 48 50 51 54 55 60 64 66 68 72 75 80 85 88 90 96 99 100 102 108 110 120 127 128 132 135 136 144 150 153 160 165 170 176 180 187 192 198 200 204 216 220 225 240 254 255 256 264 270 272 275 288 297 300 306 320 330 340 352 360 374 381 384 396 400 408 425 432 440 450 459 480 495 508 510 521 528 540 544 550 561 576 594 600 612 635 640 660 675 680 704 720 748 762 765 768 792 800 816 825 850 864 880 900 918 935 960 990 1016 1020 1042 1056 1080 1088 1100 1122 1143 1152 1188 1200 1224 1270 1275 1280 1320 1350 1360 1397 1408 1440 1485 1496 1524 1530 1563 1584 1600 1632 1650 1683 1700 1728 1760 1800 1836 1870 1905 1920 1980 2032 2040 2084 2112 2159 2160 2176 2200 2244 2286 2295 2304 2376 2400 2448 2475 2540 2550 2605 2640 2700 2720 2794 2805 2816 2880 2970 2992 3048 3060 3126 3168 3175 3200 3264 3300 3366 3400 3429 3456 3520 3600 3672 3740 3810 3825 3840 3960 4064 4080 4168 4191 4224 4318 4320 4352 4400 4488 4572 4590 4675 4689 4752 4800 4896 4950 5049 5080 5100 5210 5280 5400 5440 5588 5610 5715 5731 5760 5940 5984 6096 6120 6252 6336 6350 6400 6477 6528 6600 6732 6800 6858 6912 6985 7040 7200 7344 7425 7480 7620 7650 7815 7920 8128 8160 8336 8382 8415 8448 8636 8640 8800 8857 8976 9144 9180 9350 9378 9504 9525 9600 9792 9900 10098 10160 10200 10420 10560 10795 10800 10880 11176 11220 11430 11462 11475 11520 11880 11968 12192 12240 12504 12573 12672 12700 12954 13025 13056 13200 13464 13600 13716 13970 14025 14067 14080 14400 14688 14850 14960 15240 15300 15630 15840 16256 16320 16672 16764 16830 17145 17193 17272 17280 17600 17714 17952 18288 18360 18700 18756 19008 19050 19200 19431 19584 19800 20196 20320 20400 20840 20955 21120 21590 21600 21760 22352 22440 22860 22924 22950 23445 23749 23760 23936 24384 24480 25008 25146 25245 25344 25400 25908 26050 26400 26571 26928 27200 27432 27940 28050 28134 28575 28655 28800 29376 29700 29920 30480 30600 31260 31680 32385 32512 32640 33344 33528 33660 34290 34386 34544 34560 34925 35200 35428 35904 36576 36720 37400 37512 37719 38016 38100 38862 39075 39168 39600 40392 40640 40800 41680 41910 42075 42240 43180 43200 44285 44704 44880 45720 45848 45900 46890 47498 47520 47872 48768 48960 50016 50292 50490 50800 51579 51816 52100 52800 53142 53856 53975 54400 54864 55880 56100 56268 57150 57310 57600 58293 58752 59400 59840 60960 61200 62520 62865 63360 64770 65280 66167 66688 67056 67320 68580 68772 69088 69850 70335 70400 70856 71247 71808 73152 73440 74800 75024 75438 76032 76200 77724 78150 79200 79713 80784 81280 81600 83360 83820 84150 85725 85965 86360 86400 88570 89408 89760 91440 91696 91800 93780 94996 95040 97155 97427 97536 97920 100032 100584 100980 101600 103158 103632 104200 104775 105600 106284 107712 107950 108800 109728 111760 112200 112536 114300 114620 116586 117225 117504 118745 118800 119680 121920 122400 125040 125730 126225 126720 129540 132334 132855 133376 134112 134640 137160 137544 138176 139700 140670 141712 142494 143275 143616 146304 146880 149600 150048 150876 152400 154737 155448 156300 158400 159426 161568 161925 162560 163200 166720 167640 168300 171450 171930 172720 172800 177140 178816 179520 182880 183392 183600 187560 188595 189992 190080 194310 194854 195840 198501 200064 201168 201960 203200 206316 207264 208400 209550 211200 212568 213741 215424 215900 219456 221425 223520 224400 225072 228600 229240 233172 234450 237490 237600 239139 239360 243840 244800 250080 251460 252450 257895 259080 264668 265710 268224 269280 274320 275088 276352 279400 281340 283424 284988 286550 291465 292281 292608 293760 299200 300096 301752 304800 309474 310896 312600 314325 316800 318852 323136 323850 326400 330835 333440 335280 336600 342900 343860 345440 351675 354280 356235 357632 359040 365760 366784 367200 375120 377190 379984 380160 388620 389708 397002 398565 400128 402336 403920 406400 412632 414528 416800 419100 425136 427482 429825 430848 431800 438912 442850 447040 448800 450144 457200 458480 466344 468900 474980 475200 478278 485775 487135 487680 489600 500160 502920 504900 515790 518160 529336 531420 536448 538560 548640 550176 552704 558800 562680 566848 569976 573100 582930 584562 587520 593725 595503 598400 600192 603504 609600 618948 621792 625200 628650 633600 637704 641223 646272 647700 661670 664275 666880 670560 673200 685800 687720 690880 703350 708560 712470 718080 727837 731520 733568 734400 750240 754380 759968 773685 777240 779416 794004 797130 804672 807840 812800 825264 829056 833600 838200 850272 854964 859650 863600 876843 877824 885700 894080 897600 900288 914400 916960 932688 937800 942975 949960 950400 956556 971550 974270 979200 992505 1000320 1005840 1009800 1031580 1036320 1058672 1062840 1068705 1072896 1077120 1097280 1100352 1117600 1124839 1125360 1133696 1139952 1146200 1165860 1169124 1187450 1191006 1195695 1196800 1200384 1207008 1219200 1237896 1243584 1250400 1257300 1275408 1282446 1289475 1292544 1295400 1323340 1328550 1341120 1346400 1371600 1375440 1381760 1406700 1417120 1424940 1455674 1457325 1461405 1463040 1467136 1468800 1500480 1508760 1519936 1547370 1554480 1558832 1588008 1594260 1609344 1615680 1650528 1654175 1658112 1667200 1676400 1700544 1709928 1719300 1727200 1753686 1771400 1781175 1786509 1788160 1795200 1800576 1828800 1833920 1865376 1875600 1885950 1899920 1900800 1913112 1943100 1948540 1985010 1992825 2000640 2011680 2019600 2063160 2072640 2117344 2125680 2137410 2154240 2183511 2194560 2200704 2235200 2249678 2250720 2267392 2279904 2292400 2331720 2338248 2374900 2382012 2391390 2414016 2435675 2438400 2475792 2487168 2500800 2514600 2550816 2564892 2578950 2590800 2630529 2646680 2657100 2682240 2692800 2743200 2750880 2763520 2813400 2834240 2849880 2911348 2914650 2922810 2937600 2977515 3000960 3017520 3039872 3094740 3108960 3117664 3176016 3188520 3206115 3218688 3231360 3301056 3308350 3334400 3352800 3374517 3401088 3419856 3438600 3454400 3507372 3542800 3562350 3573018 3590400 3601152 3639185 3657600 3667840 3730752 3751200 3771900 3799840 3826224 3868425 3886200 3897080 3970020 3985650 4023360 4039200 4126320 4145280 4234688 4251360 4274820 4367022 4384215 4389120 4401408 4470400 4499356 4501440 4559808 4584800 4663440 4676496 4749800 4764024 4782780 4828032 4871350 4951584 4962525 4974336 5001600 5029200 5101632 5129784 5157900 5181600 5261058 5293360 5314200 5343525 5364480 5385600 5486400 5501760 5624195 5626800 5668480 5699760 5822696 5829300 5845620 5955030 5978475 6001920 6035040 6079744 6189480 6217920 6235328 6352032 6377040 6412230 6462720 6550533 6602112 6616700 6705600 6749034 6802176 6839712 6877200 6908800 7014744 7085600 7124700 7146036 7278370 7307025 7315200 7335680 7461504 7502400 7543800 7599680 7652448 7736850 7772400 7794160 7940040 7971300 8046720 8078400 8252640 8290560 8469376 8502720 8549640 8734044 8768430 8932545 8940800 8998712 9002880 9119616 9169600 9326880 9352992 9499600 9528048 9565560 9656064 9742700 9903168 9925050 10003200 10058400 10123551 10203264 10259568 10315800 10363200 10522116 10586720 10628400 10687050 10771200 10917555 10972800 11003520 11248390 11253600 11336960 11399520 11645392 11658600 11691240 11910060 11956950 12070080 12373229 12378960 12435840 12470656 12704064 12754080 12824460 13101066 13152645 13204224 13233400 13411200 13498068 13679424 13754400 13817600 14029488 14171200 14249400 14292072 14556740 14614050 14887575 14923008 15004800 15087600 15199360 15304896 15473700 15544800 15588320 15880080 15942600 16030575 16093440 16156800 16505280 16872585 16938752 17005440 17099280 17468088 17536860 17865090 17997424 18005760 18195925 18239232 18339200 18653760 18705984 18999200 19056096 19131120 19485400 19651599 19806336 19850100 20116800 20247102 20406528 20519136 20631600 20726400 21044232 21173440 21256800 21374100 21835110 21921075 21945600 22007040 22496780 22507200 22799040 23290784 23317200 23382480 23820120 23913900 24140160 24746458 24757920 24871680 24941312 25408128 25508160 25648920 26202132 26305290 26466800 26822400 26996136 27358848 27508800 28058976 28120975 28342400 28498800 28584144 29113480 29228100 29775150 30009600 30175200 30370653 30398720 30609792 30947400 31089600 31176640 31760160 31885200 32061150 32313600 32752665 33010560 33745170 34010880 34198560 34936176 35073720 35730180 35994848 36391850 36678400 37119687 37307520 37411968 37998400 38112192 38262240 38970800 39303198 39612672 39700200 40233600 40494204 41038272 41263200 41452800 42088464 42346880 42513600 42748200 43670220 43842150 44662725 44993560 45014400 45598080 46581568 46634400 46764960 47640240 47827800 48280320 49492916 49515840 50617755 50816256 51016320 51297840 52404264 52610580 52933600 53992272 54587775 54717696 55017600 56117952 56241950 56684800 56997600 57168288 58226960 58456200 59550300 60350400 60741306 61219584 61866145 61894800 62179200 62353280 63520320 63770400 64122300 65505330 65763225 66021120 67490340 68397120 69872352 70147440 71460360 71989696 72783700 74239374 74615040 74823936 75996800 76224384 76524480 77941600 78606396 79400400 80467200 80988408 82076544 82526400 84176928 84362925 84693760 85027200 85496400 87340440 87684300 89325450 89987120 90028800 91196160 93163136 93268800 93529920 95280480 95655600 98257995 98985832 99031680 101235510 102032640 102595680 104808528 105221160 105867200 107984544 109175550 110035200 111359061 112235904 112483900 113995200 114336576 116453920 116912400 119100600 120700800 121482612 123732290 123789600 124358400 124706560 127040640 127540800 128244600 131010660 131526450 134980680 136794240 139744704 140294880 142920720 143979392 145567400 148478748 151853265 151993600 152448768 153048960 155883200 157212792 158800800 161976816 163763325 164153088 165052800 168353856 168725850 170054400 170992800 174680880 175368600 178650900 179974240 185598435 186326272 186537600 187059840 190560960 191311200 196515990 197971664 198063360 202471020 205191360 209617056 210442320 211734400 215969088 218351100 222718122 224471808 224967800 227990400 228673152 232907840 233824800 238201200 241401600 242965224 247464580 247579200 253088775 254081280 255081600 256489200 262021320 263052900 269961360 273588480 279489408 280589760 285841440 287958784 291134800 296957496 303706530 306097920 309330725 311766400 314425584 317601600 323953632 327526650 330105600 334077183 336707712 337451700 341985600 349361760 350737200 357301800 359948480 371196870 373075200 374119680 381121920 382622400 393031980 395943328 404942040 410382720 419234112 420884640 423468800 431938176 436702200 445436244 449935600 455980800 457346304 465815680 467649600 476402400 485930448 491289975 494929160 495158400 506177550 510163200 512978400 524042640 526105800 539922720 556795305 558978816 561179520 571682880 582269600 593914992 607413060 618661450 623532800 628851168 635203200 647907264 655053300 668154366 673415424 674903400 683971200 698723520 701474400 714603600 719896960 742393740 759266325 762243840 765244800 786063960 791886656 809884080 820765440 838468224 841769280 863876352 873404400 890872488 899871200 927992175 931631360 935299200 952804800 971860896 982579950 989858320 990316800 1012355100 1025956800 1048085280 1052211600 1079845440 1113590610 1122359040 1143365760 1164539200 1187829984 1214826120 1237322900 1257702336 1270406400 1295814528 1310106600 1336308732 1349806800 1367942400 1397447040 1402948800 1429207200 1439793920 1484787480 1518532650 1530489600 1572127920 1583773312 1619768160 1670385915 1676936448 1683538560 1746808800 1781744976 1799742400 1855984350 1870598400 1905609600 1943721792 1965159900 1979716640 2024710200 2051913600 2096170560 2104423200 2159690880 2227181220 2286731520 2329078400 2375659968 2429652240 2474645800 2515404672 2591629056 2620213200 2672617464 2699613600 2783976525 2794894080 2805897600 2858414400 2969574960 3037065300 3144255840 3167546624 3239536320 3340771830 3367077120 3493617600 3563489952 3599484800 3711968700 3811219200 3887443584 3930319800 3959433280 4049420400 4103827200 4192341120 4208846400 4319381760 4454362440 4658156800 4751319936 4859304480 4949291600 5030809344 5240426400 5345234928 5399227200 5567953050 5611795200 5716828800 5939149920 6074130600 6288511680 6479072640 6681543660 6987235200 7126979904 7198969600 7423937400 7774887168 7860639600 7918866560 8098840800 8351929575 8384682240 8417692800 8908724880 9502639872 9718608960 9898583200 10480852800 10690469856 10798454400 11135906100 11433657600 11878299840 12148261200 12577023360 12958145280 13363087320 13974470400 14253959808 14847874800 15721279200 15837733120 16197681600 16703859150 16835385600 17817449760 19437217920 19797166400 20961705600 21380939712 21596908800 22271812200 23756599680 24296522400 25154046720 26726174640 28507919616 29695749600 31442558400 32395363200 33407718300 35634899520 38874435840 39594332800 41923411200 42761879424 44543624400 47513199360 48593044800 53452349280 59391499200 62885116800 64790726400 66815436600 71269799040 79188665600 85523758848 89087248800 97186089600 106904698560 118782998400 125770233600 133630873200 142539598080 178174497600 194372179200 213809397120 237565996800 267261746400 356348995200 427618794240 534523492800 712697990400 1069046985600 2138093971200
- Sum of all divisors σ(n): 9144854691840
- Sum of proper divisors (its aliquot sum) s(n): 7006760720640
- 2138093971200 is an abundant number, because the sum of its proper divisors (7006760720640) is greater than itself. Its abundance is 4868666749440
Bases of 2138093971200
- Binary: 111110001110100000101010011100111000000002
- Hexadecimal: 0x1F1D054E700
- Base-36: RA85Y2O0
Squares and roots of 2138093971200
- 2138093971200 squared (21380939712002) is 4571445829681786429440000
- 2138093971200 cubed (21380939712003) is 9774180768110009579231638192128000000
-
The
square root of 2138093971200 is 1462222.2714758519 -
The
cube root of 2138093971200 is 12882.7604000889
Scales and comparisons
How big is 2138093971200?- 2,138,093,971,200 seconds is equal to 67,984 years, 40 weeks, 2 days.
-
To count from 1 to 2,138,093,971,200 would take you about one hundred sixty-nine thousand, nine hundred sixty-one 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 2138093971200 cubic inches would be around 1073.6 feet tall.
Recreational maths with 2138093971200
- 2138093971200 backwards is 0021793908312
- 2138093971200 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2138093971200's digits is 45
- More coming soon!
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"Number 2138093971200 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 2138093971200 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/2138093971200/
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The information we have on file for 2138093971200 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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