2138735024608000
2,138,735,024,608,000 is an even composite number composed of six prime numbers multiplied together.
2138735024608000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 2138735024608000:
28 × 53 × 7 × 132 × 17 × 18232
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 13 × 17 × 1823 × 1823)See below for interesting mathematical facts about the number 2138735024608000 from the Numbermatics database.
Names of 2138735024608000
- Cardinal: 2138735024608000 can be written as Two quadrillion, one hundred thirty-eight trillion, seven hundred thirty-five billion, twenty-four million, six hundred eight thousand.
Scientific notation
- Scientific notation: 2.138735024608 × 1015
Factors of 2138735024608000
Divisors of 2138735024608000
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 50 52 56 64 65 68 70 80 85 91 100 104 112 119 125 128 130 136 140 160 169 170 175 182 200 208 221 224 238 250 256 260 272 280 320 325 338 340 350 364 400 416 425 442 448 455 476 500 520 544 560 595 640 650 676 680 700 728 800 832 845 850 875 884 896 910 952 1000 1040 1088 1105 1120 1183 1190 1280 1300 1352 1360 1400 1456 1547 1600 1625 1664 1690 1700 1750 1768 1792 1820 1823 1904 2000 2080 2125 2176 2210 2240 2275 2366 2380 2600 2704 2720 2800 2873 2912 2975 3094 3200 3250 3328 3380 3400 3500 3536 3640 3646 3808 4000 4160 4225 4250 4352 4420 4480 4550 4732 4760 5200 5408 5440 5525 5600 5746 5824 5915 5950 6188 6400 6500 6760 6800 7000 7072 7280 7292 7616 7735 8000 8320 8450 8500 8840 8960 9100 9115 9464 9520 10400 10816 10880 11050 11200 11375 11492 11648 11830 11900 12376 12761 13000 13520 13600 14000 14144 14365 14560 14584 14875 15232 15470 16000 16640 16900 17000 17680 18200 18230 18928 19040 20111 20800 21125 21632 21760 22100 22400 22750 22984 23296 23660 23699 23800 24752 25522 26000 27040 27200 27625 28000 28288 28730 29120 29168 29575 29750 30464 30940 30991 32000 33800 34000 35360 36400 36460 37856 38080 38675 40222 41600 42250 43264 44200 44800 45500 45575 45968 47320 47398 47600 49504 51044 52000 54080 54400 55250 56000 56576 57460 58240 58336 59150 59500 61880 61982 63805 67600 68000 70720 71825 72800 72920 75712 76160 77350 80444 83200 84500 88400 91000 91150 91936 94640 94796 95200 99008 100555 102088 104000 108160 108800 110500 112000 114920 116480 116672 118300 118495 119000 123760 123964 127610 135200 136000 141440 143650 145600 145840 147875 151424 152320 154700 154955 160888 165893 169000 176800 182000 182300 183872 189280 189592 190400 193375 198016 201110 204176 208000 216320 216937 221000 224000 227875 229840 233344 236600 236990 238000 247520 247928 255220 270400 272000 282880 287300 291200 291680 295750 302848 308087 309400 309910 319025 321776 331786 338000 353600 359125 364000 364600 367744 378560 379184 380800 386750 396032 402220 402883 408352 416000 433874 442000 455750 459680 466688 473200 473980 476000 495040 495856 502775 510440 540800 544000 574600 582400 583360 591500 592475 616174 618800 619820 638050 643552 663572 676000 707200 718250 728000 729200 735488 757120 758368 761600 773500 774775 804440 805766 816704 829465 867748 884000 911500 919360 946400 947960 952000 990080 991712 1005550 1020880 1081600 1084685 1149200 1166720 1183000 1184950 1232348 1237600 1239640 1276100 1287104 1327144 1352000 1414400 1436500 1456000 1458400 1514240 1516736 1540435 1547000 1549550 1595125 1608880 1611532 1633408 1658930 1735496 1768000 1823000 1838720 1892800 1895920 1904000 1980160 1983424 2011100 2014415 2041760 2156609 2169370 2298400 2333440 2366000 2369900 2464696 2475200 2479280 2513875 2552200 2574208 2654288 2704000 2820181 2873000 2912000 2916800 2962375 3033472 3080870 3094000 3099100 3190250 3217760 3223064 3266816 3317860 3323329 3470992 3536000 3646000 3677440 3785600 3791840 3808000 3873875 3966848 4022200 4028830 4083520 4147325 4313218 4338740 4596800 4732000 4739800 4929392 4950400 4958560 5027750 5104400 5148416 5237479 5308576 5408000 5423425 5640362 5746000 5833600 5924750 6066944 6161740 6188000 6198200 6380500 6435520 6446128 6635720 6646658 6941984 7072000 7292000 7571200 7583680 7702175 7747750 7933696 8044400 8057660 8167040 8294650 8626436 8677480 9193600 9464000 9479600 9858784 9900800 9917120 10055500 10072075 10208800 10474958 10617152 10783045 10846850 11280724 11492000 11667200 11849500 12323480 12376000 12396400 12761000 12871040 12892256 13271440 13293316 13883968 14100905 14584000 15167360 15404350 15495500 16088800 16115320 16334080 16589300 16616645 17252872 17354960 18387200 18928000 18959200 19717568 19834240 20111000 20144150 20417600 20736625 20949916 21234304 21566090 21693700 22561448 22984000 23263303 23699000 24646960 24752000 24792800 25522000 25742080 25784512 26187395 26542880 26586632 27117125 27767936 28201810 29168000 30334720 30808700 30991000 32177600 32230640 33178600 33233290 34505744 34709920 36662353 37856000 37918400 38510875 39435136 39668480 40222000 40288300 40835200 41473250 41899832 42468608 43132180 43203277 43387400 45122896 45968000 46526606 47398000 49293920 49504000 49585600 50360375 51044000 51569024 52374790 53085760 53173264 53915225 54234250 55535872 56403620 56496593 58336000 61617400 61982000 64355200 64461280 66357200 66466580 69011488 69419840 70504525 73324706 75836800 77021750 78870272 80444000 80576600 81670400 82946500 83083225 83799664 86264360 86406554 86774800 90245792 91936000 93053212 94796000 98587840 99171200 100720750 102088000 103138048 104749580 106171520 106346528 107830450 108468500 112807240 112993186 116316515 123234800 123964000 128710400 128922560 130936975 132714400 132933160 138022976 138839680 141009050 146649412 151673600 154043500 160888000 161153200 165893000 166166450 167599328 172528720 172813108 173549600 180491584 183311765 186106424 189592000 197175680 198342400 201441500 204176000 209499160 212343040 212693056 215660900 216016385 216937000 225614480 225986372 232633030 246469600 247928000 257845120 261873950 265428800 265866320 269576125 276045952 277679360 282018100 282482965 293298824 302422939 308087000 321776000 322306400 331786000 332332900 335198656 345057440 345626216 347099200 352522625 360983168 366623530 372212848 379184000 394351360 395476151 402883000 408352000 415416125 418998320 425386112 431321800 432032770 433874000 451228960 451972744 465266060 492939200 495856000 515690240 523747900 530857600 531732640 539152250 552091904 561642601 564036200 564965930 581582575 586597648 604845878 616174000 643552000 644612800 654684875 663572000 664665800 670397312 690114880 691252432 694198400 705045250 721966336 733247060 734455709 744425696 758368000 790952302 805766000 830832250 837996640 850772224 862643600 864065540 867748000 902457920 903945488 916558825 930532120 985878400 991712000 1047495800 1061715200 1063465280 1078304500 1080081925 1123285202 1128072400 1129931860 1163165150 1173195296 1209691756 1232348000 1289225600 1309369750 1327144000 1329331600 1340794624 1380229760 1382504864 1388396800 1410090500 1412414825 1466494120 1468911418 1488851392 1512114695 1581904604 1611532000 1661664500 1675993280 1725287200 1728131080 1735496000 1804915840 1807890976 1833117650 1861064240 1971756800 1977380755 2094991600 2126930560 2156609000 2160163850 2246570404 2256144800 2259863720 2326330300 2346390592 2419383512 2464696000 2578451200 2618739500 2654288000 2658663200 2760459520 2765009728 2808213005 2820181000 2824829650 2907912875 2932988240 2937822836 2977702784 3024229390 3163809208 3223064000 3323329000 3351986560 3450574400 3456262160 3470992000 3609831680 3615781952 3666235300 3672278545 3722128480 3931498207 3954761510 4189983200 4253861120 4313218000 4320327700 4493140808 4512289600 4519727440 4582794125 4652660600 4692781184 4838767024 4929392000 5141189963 5237479000 5308576000 5317326400 5400409625 5530019456 5616426010 5640362000 5649659300 5815825750 5865976480 5875645672 5955405568 6048458780 6327618416 6446128000 6646658000 6703973120 6901148800 6912524320 6941984000 7062074125 7231563904 7332470600 7344557090 7444256960 7560573475 7862996414 7909523020 8379966400 8626436000 8640655400 8986281616 9024579200 9039454880 9165588250 9305321200 9385562368 9547924217 9677534048 9858784000 9886903775 10282379926 10474958000 10634652800 10800819250 11060038912 11232852020 11280724000 11299318600 11631651500 11731952960 11751291344 12096917560 12655236832 12892256000 13293316000 13802297600 13825048640 14041065025 14124148250 14463127808 14664941200 14689114180 14888513920 15121146950 15725992828 15819046040 16759932800 17252872000 17281310800 17972563232 18049158400 18078909760 18331176500 18361392725 18610642400 19095848434 19355068096 19657491035 19773807550 20564759852 20949916000 21269305600 21601638500 22465704040 22561448000 22598637200 23263303000 23463905920 23502582688 24193835120 25310473664 25705949815 26586632000 27650097280 28082130050 28248296500 29329882400 29378228360 29777027840 30242293900 31451985656 31638092080 33519865600 34505744000 34562621600 35945126464 36157819520 36662353000 36722785450 37221284800 37802867375 38191696868 38710136192 39314982070 39547615100 41129519704 41899832000 43203277000 44931408080 45122896000 45197274400 46526606000 46927811840 47005165376 47739621085 48387670240 49434518875 50620947328 51411899630 53173264000 55300194560 56164260100 56496593000 58659764800 58756456720 60484587800 62903971312 63276184160 66835469519 69011488000 69125243200 70205325125 71890252928 72315639040 73324706000 73445570900 74442569600 75605734750 76383393736 77420272384 78629964140 79095230200 82259039408 83799664000 86406554000 89862816160 90245792000 90394548800 91806963625 93053212000 94010330752 95479242170 96775340480 98287455175 98869037750 101241894656 102823799260 106346528000 112328520200 112993186000 117319529600 117512913440 120969175600 125807942624 126552368320 128529749075 133670939038 138250486400 140410650250 143780505856 146649412000 146891141800 148885139200 151211469500 152766787472 157259928280 158190460400 164518078816 167599328000 172813108000 179725632320 180789097600 183613927250 186106424000 188020661504 190958484340 193550680960 196574910350 197738075500 205647598520 224657040400 225986372000 234639059200 235025826880 238698105425 241938351200 251615885248 253104736640 257059498150 267341878076 276500972800 280821300500 293298824000 293782283600 302422939000 305533574944 314519856560 316380920800 329036157632 334177347595 345626216000 359451264640 361578195200 367227854500 372212848000 381916968680 387101361920 393149820700 395476151000 411295197040 449314080800 451972744000 470051653760 477396210850 483876702400 491437275875 503231770496 506209473280 514118996300 534683756152 561642601000 586597648000 587564567200 604845878000 611067149888 629039713120 632761841600 642648745375 658072315264 668354695190 691252432000 718902529280 734455709000 744425696000 763833937360 786299641400 790952302000 822590394080 898628161600 903945488000 940103307520 954792421700 967753404800 982874551750 1006463540992 1028237992600 1069367512304 1123285202000 1173195296000 1175129134400 1193490527125 1209691756000 1222134299776 1258079426240 1265523683200 1285297490750 1316144630528 1336709390380 1382504864000 1468911418000 1527667874720 1572599282800 1581904604000 1645180788160 1670886737975 1797256323200 1807890976000 1909584843400 1935506809600 1965749103500 2056475985200 2138735024608 2246570404000 2350258268800 2386981054250 2419383512000 2444268599552 2516158852480 2531047366400 2570594981500 2673418780760 2937822836000 3055335749440 3145198565600 3163809208000 3290361576320 3341773475950 3594512646400 3819169686800 3931498207000 4112951970400 4277470049216 4493140808000 4700516537600 4773962108500 4838767024000 5032317704960 5141189963000 5346837561520 5875645672000 6110671498880 6290397131200 6327618416000 6580723152640 6683546951900 7638339373600 7862996414000 8225903940800 8354433689875 8554940098432 8986281616000 9547924217000 9677534048000 10282379926000 10693675123040 11751291344000 12221342997760 12580794262400 12655236832000 13367093903800 15276678747200 15725992828000 16451807881600 16708867379750 17109880196864 17972563232000 19095848434000 20564759852000 21387350246080 23502582688000 25161588524800 26734187807600 30553357494400 31451985656000 32903615763200 33417734759500 38191696868000 41129519704000 42774700492160 53468375615200 61106714988800 62903971312000 66835469519000 76383393736000 82259039408000 85549400984320 106936751230400 125807942624000 133670939038000 152766787472000 164518078816000 213873502460800 267341878076000 305533574944000 427747004921600 534683756152000 1069367512304000 2138735024608000
- Sum of all divisors σ(n): 6985069209832896
- Sum of proper divisors (its aliquot sum) s(n): 4846334185224896
- 2138735024608000 is an abundant number, because the sum of its proper divisors (4846334185224896) is greater than itself. Its abundance is 2707599160616896
Bases of 2138735024608000
- Binary: 1111001100100101011000011010110100100010011000000002
- Hexadecimal: 0x7992B0D691300
- Base-36: L249B15DZ4
Squares and roots of 2138735024608000
- 2138735024608000 squared (21387350246080002) is 4574187505484982365553664000000
- 2138735024608000 cubed (21387350246080003) is 9782975027105029894566861626584563712000000000
-
The
square root of 2138735024608000 is 46246459.5899837505 -
The
cube root of 2138735024608000 is 128840.4779473993
Scales and comparisons
How big is 2138735024608000?- 2,138,735,024,608,000 seconds is equal to 68,005,158 years, 12 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 2,138,735,024,608,000 would take you about two hundred four million, fifteen thousand, four hundred seventy-four 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 2138735024608000 cubic inches would be around 10736.7 feet tall.
Recreational maths with 2138735024608000
- 2138735024608000 backwards is 0008064205378312
- The number of decimal digits it has is: 16
- The sum of 2138735024608000's digits is 49
- More coming soon!
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The information we have on file for 2138735024608000 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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