13828123584000
13,828,123,584,000 is an even composite number composed of seven prime numbers multiplied together.
13828123584000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13828123584000:
29 × 32 × 53 × 11 × 59 × 71 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 59 × 71 × 521)See below for interesting mathematical facts about the number 13828123584000 from the Numbermatics database.
Names of 13828123584000
- Cardinal: 13828123584000 can be written as Thirteen trillion, eight hundred twenty-eight billion, one hundred twenty-three million, five hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3828123584 × 1013
Factors of 13828123584000
Divisors of 13828123584000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 59 60 64 66 71 72 75 80 88 90 96 99 100 110 118 120 125 128 132 142 144 150 160 165 176 177 180 192 198 200 213 220 225 236 240 250 256 264 275 284 288 295 300 320 330 352 354 355 360 375 384 396 400 426 440 450 472 480 495 500 512 521 528 531 550 568 576 590 600 639 640 649 660 704 708 710 720 750 768 781 792 800 825 852 880 885 900 944 960 990 1000 1042 1056 1062 1065 1100 1125 1136 1152 1180 1200 1278 1280 1298 1320 1375 1408 1416 1420 1440 1475 1500 1536 1562 1563 1584 1600 1650 1704 1760 1770 1775 1800 1888 1920 1947 1980 2000 2084 2112 2124 2130 2200 2250 2272 2304 2343 2360 2400 2475 2556 2560 2596 2605 2640 2655 2750 2816 2832 2840 2880 2950 3000 3124 3126 3168 3195 3200 3245 3300 3408 3520 3540 3550 3600 3776 3840 3894 3905 3960 4000 4125 4168 4189 4224 4248 4260 4400 4425 4500 4544 4608 4686 4689 4720 4800 4950 5112 5192 5210 5280 5310 5325 5500 5632 5664 5680 5731 5760 5841 5900 6000 6248 6252 6336 6390 6400 6490 6600 6816 7029 7040 7080 7100 7200 7375 7552 7680 7788 7810 7815 7920 8000 8250 8336 8378 8448 8496 8520 8800 8850 8875 9000 9088 9372 9378 9440 9600 9735 9900 10224 10384 10420 10560 10620 10650 11000 11328 11360 11462 11520 11682 11715 11800 12000 12375 12496 12504 12567 12672 12780 12800 12980 13025 13200 13275 13632 14058 14080 14160 14200 14400 14750 15104 15576 15620 15630 15840 15975 16000 16225 16500 16672 16756 16896 16992 17040 17193 17600 17700 17750 18000 18176 18744 18756 18880 19200 19470 19525 19800 20448 20768 20840 20945 21120 21240 21300 22000 22125 22656 22720 22924 23040 23364 23430 23445 23600 24000 24750 24992 25008 25134 25344 25560 25960 26050 26400 26550 26625 27264 28116 28160 28320 28400 28655 28800 29205 29500 30208 30739 31152 31240 31260 31680 31950 32000 32450 33000 33344 33512 33984 34080 34386 35145 35200 35400 35500 36000 36352 36991 37488 37512 37701 37760 38400 38940 39050 39075 39600 40896 41536 41680 41890 42240 42480 42600 44000 44250 45312 45440 45848 46079 46728 46860 46890 47200 48000 48675 49500 49984 50016 50268 50688 51120 51579 51920 52100 52800 53100 53250 54528 56232 56640 56800 57310 57600 58410 58575 59000 61478 62304 62480 62520 62835 63360 63900 64000 64900 65125 66000 66375 66688 67024 67968 68160 68772 70290 70400 70800 71000 72000 73982 74976 75024 75402 75520 77880 78100 78150 79200 79875 81125 81792 83072 83360 83780 84480 84960 85200 85965 88000 88500 90624 90880 91696 92158 92217 93456 93720 93780 94400 96000 97350 97625 99000 99968 100032 100536 102240 103158 103840 104200 104725 105600 106200 106500 109056 110973 112464 113280 113600 114620 115200 116820 117150 117225 118000 122956 124608 124960 125040 125670 126720 127800 129800 130250 132000 132750 133376 134048 135936 136320 137544 138237 140580 140800 141600 142000 143275 144000 146025 147964 149952 150048 150804 151040 153695 155760 156200 156300 158400 159750 162250 163584 166144 166720 167560 169920 170400 171930 175725 176000 177000 181760 183392 184316 184434 184955 186912 187440 187560 188505 188800 192000 194700 195250 195375 198000 199936 200064 201072 204480 206316 207680 208400 209450 211200 212400 213000 221946 224928 226560 227200 229240 230395 233640 234300 234450 236000 243375 245912 249216 249920 250080 251340 253440 255600 257895 259600 260500 264000 265500 266752 268096 271872 272640 275088 276474 276651 281160 283200 284000 286550 288000 292050 292875 295928 299904 300096 301608 307390 311520 312400 312600 314175 316800 319500 324500 327168 332288 332919 333440 335120 338129 339840 340800 343860 351450 352000 354000 366784 368632 368868 369910 373824 374880 375120 377010 377600 389400 390500 390750 396000 399872 400128 402144 406901 408960 412632 414711 415360 416800 418900 422400 424800 426000 429825 443892 449856 453120 454400 458480 460790 461085 467280 468600 468900 472000 486750 491824 498432 499840 500160 502680 511200 515790 519200 521000 523625 528000 531000 536192 545280 550176 552948 553302 554865 562320 566400 568000 573100 576000 584100 585750 586125 591856 599808 600192 603216 614780 623040 624800 625200 628350 633600 639000 649000 665838 666880 670240 676258 679680 681600 687720 691185 702900 704000 708000 716375 730125 733568 737264 737736 739820 747648 749760 750240 754020 755200 768475 778800 781000 781500 792000 800256 804288 813802 817920 825264 829422 830720 833600 837800 849600 852000 859650 878625 887784 899712 908800 916960 921580 922170 924775 934560 937200 937800 942525 944000 973500 983648 996864 999680 1000320 1005360 1014387 1022400 1031580 1038400 1042000 1047250 1056000 1062000 1072384 1100352 1105896 1106604 1109730 1124640 1132800 1136000 1146200 1151975 1168200 1171500 1172250 1183712 1199616 1200384 1206432 1220703 1229560 1246080 1249600 1250400 1256700 1267200 1278000 1289475 1298000 1331676 1333760 1340480 1352516 1359360 1363200 1375440 1382370 1383255 1405800 1416000 1432750 1460250 1467136 1474528 1475472 1479640 1495296 1499520 1500480 1508040 1536950 1557600 1562000 1563000 1570875 1584000 1608576 1627604 1635840 1650528 1658844 1661440 1664595 1667200 1675600 1690645 1699200 1704000 1719300 1757250 1775568 1799424 1833920 1843160 1844340 1849550 1869120 1874400 1875600 1885050 1888000 1947000 1967296 1999360 2000640 2010720 2028774 2034505 2044800 2063160 2073555 2076800 2084000 2094500 2112000 2124000 2144768 2149125 2182469 2200704 2211792 2213208 2219460 2249280 2265600 2272000 2292400 2303950 2305425 2336400 2343000 2344500 2367424 2400768 2412864 2441406 2459120 2492160 2499200 2500800 2513400 2556000 2578950 2596000 2663352 2680960 2705032 2726400 2750880 2764740 2766510 2774325 2811600 2832000 2865500 2920500 2934272 2949056 2950944 2959280 2990592 2999040 3000960 3016080 3043161 3073900 3115200 3124000 3126000 3141750 3168000 3217152 3255208 3301056 3317688 3329190 3334400 3351200 3381290 3398400 3408000 3438600 3455925 3514500 3551136 3598848 3662109 3667840 3686320 3688680 3699100 3738240 3748800 3751200 3770100 3776000 3842375 3894000 3934592 4001280 4021440 4057548 4069010 4089600 4126320 4147110 4153600 4168000 4189000 4248000 4298250 4364938 4401408 4423584 4426416 4438920 4498560 4544000 4584800 4607900 4610850 4623875 4672800 4686000 4689000 4712625 4734848 4825728 4882812 4918240 4984320 4998400 5001600 5026800 5071935 5112000 5157900 5192000 5326704 5361920 5410064 5501760 5529480 5533020 5548650 5623200 5664000 5731000 5759875 5841000 5898112 5901888 5918560 5998080 6001920 6032160 6086322 6103515 6147800 6230400 6248000 6252000 6283500 6336000 6434304 6447375 6510416 6547407 6602112 6635376 6658380 6668800 6702400 6762580 6796800 6816000 6877200 6911850 6916275 7029000 7102272 7324218 7335680 7372640 7377360 7398200 7476480 7497600 7502400 7540200 7684750 7788000 7869184 8042880 8115096 8138020 8179200 8252640 8294220 8307200 8322975 8336000 8378000 8453225 8496000 8596500 8729876 8802816 8847168 8852832 8877840 8997120 9169600 9215800 9221700 9247750 9345600 9372000 9378000 9425250 9469696 9651456 9765624 9836480 9996800 10003200 10053600 10143870 10172525 10224000 10315800 10367775 10384000 10653408 10723840 10820128 10912345 11003520 11058960 11066040 11097300 11246400 11328000 11462000 11519750 11527125 11682000 11796224 11803776 11837120 12003840 12064320 12172644 12207030 12295600 12460800 12496000 12504000 12567000 12894750 13020832 13094814 13204224 13270752 13316760 13404800 13525160 13632000 13754400 13823700 13832550 13871625 14058000 14204544 14648436 14671360 14745280 14754720 14796400 14952960 14995200 15004800 15080400 15215805 15369500 15576000 15738368 16085760 16230192 16276040 16505280 16588440 16645950 16672000 16756000 16906450 16992000 17193000 17279625 17459752 17694336 17705664 17755680 17994240 18310545 18339200 18431600 18443400 18495500 18691200 18744000 18756000 18850500 18939392 19302912 19531248 19642221 19672960 20006400 20107200 20287740 20345050 20448000 20631600 20735550 20768000 21306816 21640256 21824690 22007040 22117920 22132080 22194600 22492800 22924000 23039500 23054250 23364000 23592448 23607552 23674240 24007159 24128640 24345288 24414060 24591200 24921600 24992000 25008000 25134000 25359675 25789500 26041664 26189628 26408448 26541504 26633520 26809600 27050320 27508800 27647400 27665100 27743250 28116000 28409088 29296872 29490560 29509440 29592800 29990400 30009600 30160800 30431610 30517575 30739000 31152000 32171520 32460384 32552080 32737035 33010560 33176880 33291900 33344000 33512000 33812900 33984000 34386000 34559250 34581375 34919504 35388672 35411328 35511360 36621090 36678400 36863200 36886800 36991000 37382400 37488000 37512000 37701000 39062496 39284442 39345920 40214400 40575480 40690100 40896000 41263200 41471100 41536000 41614875 42266125 42613632 43280512 43649380 44014080 44235840 44264160 44389200 44985600 45848000 46079000 46108500 46728000 47215104 47348480 48014318 48257280 48690576 48828120 49182400 49984000 50016000 50268000 50719350 50862625 51579000 51838875 52083328 52379256 53083008 53267040 53619200 54100640 54561725 55017600 55294800 55330200 55486500 56232000 56818176 58593744 58981120 59018880 59185600 60019200 60321600 60863220 61035150 61478000 62304000 64920768 65104160 65474070 66021120 66353760 66583800 67024000 67625800 68772000 69118500 69162750 69839008 70777344 70822656 71022720 72021477 73242180 73356800 73726400 73773600 73982000 74764800 74976000 75024000 75402000 76079025 78124992 78568884 78691840 80428800 81150960 81380200 82526400 82942200 83229750 84532250 85227264 86561024 87298760 88471680 88528320 88778400 89971200 91552725 91696000 92158000 92217000 93456000 94696960 96028636 96514560 97381152 97656240 98211105 98364800 100032000 100536000 101438700 101725250 103158000 103677750 104166656 104758512 106166016 106534080 108201280 109123450 110035200 110589600 110660400 110973000 112464000 117187488 117962240 118037760 118371200 120035795 120643200 121726440 122070300 122956000 124608000 126798375 129841536 130208320 130948140 132042240 132707520 133167600 134048000 135251600 137544000 138237000 138325500 139678016 141645312 142045440 144042954 146484360 147452800 147547200 147964000 149952000 150048000 150804000 152158050 152587875 156249984 157137768 160857600 162301920 162760400 163685175 165052800 165884400 166459500 169064500 170454528 173122048 174597520 176943360 177056640 177556800 183105450 183392000 184316000 184434000 186912000 192057272 194762304 195312480 196422210 196729600 201072000 202877400 203450500 206316000 207355500 208333312 209517024 212332032 213068160 216064431 216402560 218246900 220070400 221179200 221320800 221946000 224928000 234374976 236075520 236742400 240071590 241286400 243452880 244140600 245912000 253596750 259683072 260416640 261896280 265415040 266335200 268096000 270503200 272808625 275088000 276474000 276651000 279356032 284090880 288085908 292968720 294905600 295094400 295928000 300096000 301608000 304316100 305175750 312499968 314275536 324603840 325520800 327370350 330105600 331768800 332919000 338129000 349195040 353886720 354113280 355113600 360107385 366210900 366784000 368632000 368868000 373824000 380395125 384114544 389524608 390624960 392844420 393459200 402144000 405754800 406901000 412632000 414711000 419034048 426136320 432128862 432805120 436493800 442358400 442641600 443892000 449856000 457763625 468749952 473484800 480143180 482572800 486905760 488281200 491055525 491824000 507193500 519366144 520833280 523792560 530830080 532670400 541006400 545617250 550176000 552948000 553302000 558712064 576171816 585937440 589811200 590188800 591856000 600178975 603216000 608632200 610351500 624999936 628551072 649207680 651041600 654740700 660211200 663537600 665838000 676258000 698390080 708226560 710227200 720214770 732421800 737264000 737736000 760790250 768229088 779049216 781249920 785688840 804288000 811509600 813802000 818425875 825264000 829422000 838068096 852272640 864257724 865610240 872987600 884716800 885283200 887784000 915527250 937499904 960286360 973811520 976562400 982111050 983648000 1014387000 1041666560 1047585120 1061660160 1065340800 1080322155 1082012800 1091234500 1100352000 1105896000 1106604000 1117424128 1152343632 1171874880 1180377600 1183712000 1200357950 1206432000 1217264400 1220703000 1257102144 1298415360 1302083200 1309481400 1327075200 1331676000 1352516000 1396780160 1420454400 1440429540 1464843600 1474528000 1475472000 1521580500 1536458176 1558098432 1562499840 1571377680 1623019200 1627604000 1636851750 1650528000 1658844000 1676136192 1728515448 1745975200 1769433600 1770566400 1775568000 1800536925 1831054500 1874999808 1920572720 1947623040 1953124800 1964222100 1967296000 2028774000 2095170240 2130681600 2160644310 2164025600 2182469000 2211792000 2213208000 2304687264 2343749760 2367424000 2400715900 2412864000 2434528800 2441406000 2455277625 2514204288 2596830720 2604166400 2618962800 2654150400 2663352000 2705032000 2793560320 2880859080 2929687200 2949056000 2950944000 3000894875 3043161000 3072916352 3124999680 3142755360 3246038400 3255208000 3273703500 3301056000 3317688000 3352272384 3457030896 3491950400 3541132800 3551136000 3601073850 3662109000 3841145440 3895246080 3906249600 3928444200 4057548000 4190340480 4261363200 4321288620 4328051200 4364938000 4423584000 4426416000 4609374528 4687499520 4801431800 4869057600 4882812000 4910555250 5028408576 5208332800 5237925600 5308300800 5326704000 5401610775 5410064000 5587120640 5761718160 5859374400 5901888000 6001789750 6086322000 6145832704 6285510720 6492076800 6510416000 6547407000 6635376000 6914061792 6983900800 7102272000 7202147700 7324218000 7682290880 7790492160 7812499200 7856888400 8115096000 8380680960 8642577240 8729876000 8847168000 8852832000 9002684625 9218749056 9374999040 9602863600 9738115200 9765624000 9821110500 10056817152 10475851200 10653408000 10803221550 10820128000 11523436320 11718748800 12003579500 12172644000 12291665408 12571021440 12984153600 13020832000 13094814000 13270752000 13828123584 13967801600 14404295400 14648436000 15364581760 15624998400 15713776800 16230192000 16761361920 17285154480 17459752000 17705664000 18005369250 18437498112 19205727200 19476230400 19531248000 19642221000 20951702400 21306816000 21606443100 21640256000 23046872640 23437497600 24007159000 24345288000 25142042880 26041664000 26189628000 26541504000 27008053875 27656247168 27935603200 28808590800 29296872000 30729163520 31427553600 32460384000 34570308960 34919504000 36010738500 36874996224 38411454400 38952460800 39062496000 39284442000 41903404800 43212886200 46093745280 46874995200 48014318000 48690576000 50284085760 52379256000 54016107750 55312494336 57617181600 58593744000 61458327040 62855107200 64920768000 69140617920 69839008000 72021477000 76822908800 78124992000 78568884000 83806809600 86425772400 92187490560 96028636000 97381152000 104758512000 108032215500 110624988672 115234363200 117187488000 125710214400 138281235840 139678016000 144042954000 153645817600 157137768000 172851544800 184374981120 192057272000 194762304000 209517024000 216064431000 230468726400 234374976000 251420428800 276562471680 288085908000 307291635200 314275536000 345703089600 384114544000 419034048000 432128862000 460937452800 553124943360 576171816000 628551072000 691406179200 768229088000 864257724000 921874905600 1152343632000 1257102144000 1382812358400 1536458176000 1728515448000 2304687264000 2765624716800 3457030896000 4609374528000 6914061792000 13828123584000
- Sum of all divisors σ(n): 56140862469120
- Sum of proper divisors (its aliquot sum) s(n): 42312738885120
- 13828123584000 is an abundant number, because the sum of its proper divisors (42312738885120) is greater than itself. Its abundance is 28484615301120
Bases of 13828123584000
- Binary: 110010010011100111000110010011100110000000002
- Hexadecimal: 0xC939C64E600
- Base-36: 4WGJVR0G0
Squares and roots of 13828123584000
- 13828123584000 squared (138281235840002) is 191217001854377005056000000
- 13828123584000 cubed (138281235840003) is 2644172333004282397242160840704000000000
-
The
square root of 13828123584000 is 3718618.5047675973 -
The
cube root of 13828123584000 is 24002.3860960981
Scales and comparisons
How big is 13828123584000?- 13,828,123,584,000 seconds is equal to 439,691 years, 28 weeks, 6 days, 16 hours.
-
To count from 1 to 13,828,123,584,000 would take you about one million, ninety-nine thousand, two hundred twenty-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 13828123584000 cubic inches would be around 2000.2 feet tall.
Recreational maths with 13828123584000
- 13828123584000 backwards is 00048532182831
- 13828123584000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13828123584000's digits is 45
- More coming soon!
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The information we have on file for 13828123584000 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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