138189632204800
138,189,632,204,800 is an even composite number composed of six prime numbers multiplied together.
138189632204800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 138189632204800:
212 × 52 × 11 × 17 × 292 × 8581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 17 × 29 × 29 × 8581)See below for interesting mathematical facts about the number 138189632204800 from the Numbermatics database.
Names of 138189632204800
- Cardinal: 138189632204800 can be written as One hundred thirty-eight trillion, one hundred eighty-nine billion, six hundred thirty-two million, two hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.381896322048 × 1014
Factors of 138189632204800
Divisors of 138189632204800
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 29 32 34 40 44 50 55 58 64 68 80 85 88 100 110 116 128 136 145 160 170 176 187 200 220 232 256 272 275 290 319 320 340 352 374 400 425 440 464 493 512 544 550 580 638 640 680 704 725 748 800 841 850 880 928 935 986 1024 1088 1100 1160 1276 1280 1360 1408 1450 1496 1595 1600 1682 1700 1760 1856 1870 1972 2048 2176 2200 2320 2465 2552 2560 2720 2816 2900 2992 3190 3200 3364 3400 3520 3712 3740 3944 4096 4205 4352 4400 4640 4675 4930 5104 5120 5423 5440 5632 5800 5984 6380 6400 6728 6800 7040 7424 7480 7888 7975 8410 8581 8704 8800 9251 9280 9350 9860 10208 10240 10846 10880 11264 11600 11968 12325 12760 12800 13456 13600 14080 14297 14848 14960 15776 15950 16820 17162 17408 17600 18502 18560 18700 19720 20416 20480 21025 21692 21760 22528 23200 23936 24650 25520 25600 26912 27115 27200 28160 28594 29696 29920 31552 31900 33640 34324 34816 35200 37004 37120 37400 39440 40832 42050 42905 43384 43520 45056 46255 46400 47872 49300 51040 51200 53824 54230 54400 56320 57188 59392 59840 63104 63800 67280 68648 69632 70400 71485 74008 74240 74800 78880 81664 84100 85810 86768 87040 92510 92800 94391 95744 98600 102080 102400 107648 108460 108800 112640 114376 118784 119680 126208 127600 134560 135575 137296 140800 142970 145877 148016 148480 149600 157267 157760 163328 168200 171620 173536 174080 185020 185600 188782 191488 197200 204160 214525 215296 216920 217600 225280 228752 231275 239360 248849 252416 255200 269120 271150 274592 281600 285940 291754 296032 296960 299200 314534 315520 326656 336400 343240 347072 348160 357425 370040 371200 377564 382976 394400 408320 429050 430592 433840 435200 457504 462550 471955 478720 497698 504832 510400 538240 542300 549184 563200 571880 583508 592064 593920 598400 629068 631040 653312 672800 686480 694144 714850 729385 740080 742400 755128 765952 786335 788800 816640 858100 861184 867680 870400 915008 925100 943910 957440 995396 1009664 1020800 1076480 1084600 1098368 1126400 1143760 1167016 1184128 1196800 1244245 1258136 1262080 1306624 1345600 1372960 1388288 1429700 1458770 1480160 1484800 1510256 1572670 1577600 1604647 1633280 1716200 1722368 1735360 1740800 1830016 1850200 1887820 1914880 1990792 2019328 2041600 2152960 2169200 2196736 2287520 2334032 2359775 2368256 2393600 2488490 2516272 2524160 2691200 2737339 2745920 2776576 2859400 2917540 2960320 2969600 3020512 3145340 3155200 3209294 3266560 3432400 3444736 3470720 3646925 3660032 3700400 3775640 3829760 3931675 3981584 4083200 4230433 4305920 4338400 4393472 4575040 4668064 4719550 4736512 4787200 4976980 5032544 5048320 5382400 5474678 5491840 5553152 5718800 5835080 5920640 6041024 6221225 6290680 6310400 6418588 6533120 6864800 6941440 7216621 7293850 7320064 7400800 7551280 7863350 7963168 8023235 8166400 8460866 8611840 8676800 8786944 9150080 9336128 9439100 9473024 9574400 9953960 10065088 10096640 10764800 10949356 10983680 11106304 11437600 11670160 11841280 12082048 12442450 12581360 12620800 12837176 13686695 13729600 13882880 14433242 14587700 14640128 14801600 15102560 15726700 15926336 16046470 16332800 16921732 17223680 17353600 17573888 18300160 18672256 18878200 18946048 19148800 19907920 20130176 21152165 21529600 21898712 21967360 22212608 22875200 23340320 23682560 24164096 24884900 25162720 25241600 25674352 27373390 27459200 27765760 28866484 29175400 29280256 29603200 30205120 31453400 31852672 32092940 32665600 33843464 34707200 35147776 36083105 36600320 37344512 37756400 37892096 39815840 40116175 40260352 42304330 43059200 43797424 43934720 45750400 46534763 46680640 47365120 48328192 49769800 50325440 50483200 51348704 54746780 54918400 55531520 57732968 58350800 58560512 59206400 60410240 62906800 63705344 64185880 67686928 68433475 69414400 72166210 73200640 74689024 75512800 79382831 79631680 80232350 80520704 84608660 86118400 87594848 87869440 91500800 93069526 93361280 94730240 96656384 99539600 100650880 102697408 105760825 109493560 109836800 111063040 115465936 116701600 118412800 120820480 122682557 125813600 127410688 128371760 135373856 136866950 138828800 144332420 146401280 149378048 151025600 158765662 159263360 160464700 161041408 169217320 175189696 175738880 180415525 183001600 186139052 186722560 189460480 193312768 199079200 201301760 205394816 211521650 218987120 219673600 230931872 232673815 233403200 236825600 241640960 245365114 251627200 254821376 256743520 270747712 273733900 277657600 288664840 292802560 298756096 302051200 317531324 318526720 320929400 322082816 338434640 350379392 360831050 366003200 372278104 373445120 386625536 396914155 398158400 402603520 410789632 423043300 437974240 439347200 461863744 465347630 466806400 473651200 483281920 490730228 503254400 509642752 513487040 541495424 547467800 555315200 577329680 597512192 604102400 613412785 635062648 637053440 641858800 644165632 676869280 700758784 721662100 732006400 744556208 746890240 793828310 796316800 805207040 821579264 846086600 875948480 878694400 923727488 930695260 933612800 947302400 966563840 981460456 1006508800 1019285504 1026974080 1082990848 1094935600 1154659360 1163369075 1208204800 1226825570 1270125296 1274106880 1283717600 1349508127 1353738560 1401517568 1443324200 1464012800 1489112416 1493780480 1587656620 1592633600 1610414080 1643158528 1692173200 1751896960 1847454976 1861390520 1867225600 1933127680 1962920912 1984570775 2013017600 2053948160 2165981696 2189871200 2309318720 2326738150 2416409600 2453651140 2540250592 2548213760 2567435200 2699016254 2707477120 2803035136 2886648400 2978224832 2987560960 3067063925 3175313240 3185267200 3220828160 3286317056 3384346400 3503793920 3694909952 3722781040 3734451200 3925841824 3969141550 4026035200 4107896320 4331963392 4379742400 4618637440 4653476300 4832819200 4907302280 5080501184 5096427520 5134870400 5398032508 5414954240 5606070272 5773296800 5956449664 6134127850 6350626480 6370534400 6572634112 6747540635 6768692800 7007587840 7389819904 7445562080 7468902400 7851683648 7938283100 8052070400 8215792640 8663926784 8759484800 9237274880 9306952600 9665638400 9814604560 10161002368 10269740800 10796065016 10829908480 11212140544 11546593600 11912899328 12268255700 12701252960 12741068800 13495081270 13537385600 14015175680 14779639808 14891124160 14937804800 15703367296 15876566200 16104140800 16431585280 17327853568 17518969600 18474549760 18613905200 19629209120 20322004736 20539481600 21592130032 21659816960 23093187200 23825798656 24536511400 25402505920 25482137600 26990162540 27074771200 28030351360 29559279616 29782248320 31406734592 31753132400 32863170560 33737703175 35037939200 36949099520 37227810400 39258418240 40644009472 41078963200 43184260064 43319633920 46186374400 47651597312 49073022800 50805011840 53980325080 54149542400 56060702720 59564496640 62813469184 63506264800 67475406350 70075878400 73898199040 74455620800 78516836480 81288018944 82157926400 86368520128 86639267840 92372748800 95303194624 98146045600 101610023680 107960650160 108299084800 119128993280 125626938368 127012529600 134950812700 140151756800 147796398080 148911241600 157033672960 162576037888 164315852800 172737040256 184745497600 190606389248 196292091200 203220047360 215921300320 216598169600 238257986560 251253876736 254025059200 269901625400 280303513600 297822483200 314067345920 325152075776 345474080512 369490995200 392584182400 406440094720 431842600640 433196339200 476515973120 502507753472 508050118400 539803250800 595644966400 628134691840 690948161024 738981990400 785168364800 812880189440 863685201280 953031946240 1016100236800 1079606501600 1191289932800 1256269383680 1381896322048 1570336729600 1625760378880 1727370402560 2032200473600 2159213003200 2382579865600 2512538767360 2763792644096 3140673459200 3454740805120 4064400947200 4318426006400 4765159731200 5527585288192 6281346918400 6909481610240 8128801894400 8636852012800 12562693836800 13818963220480 17273704025600 27637926440960 34547408051200 69094816102400 138189632204800
- Sum of all divisors σ(n): 409976568538992
- Sum of proper divisors (its aliquot sum) s(n): 271786936334192
- 138189632204800 is an abundant number, because the sum of its proper divisors (271786936334192) is greater than itself. Its abundance is 133597304129392
Bases of 138189632204800
- Binary: 111110110101110110001111111000001110000000000002
- Hexadecimal: 0x7DAEC7F07000
- Base-36: 1CZFFV2B5S
Squares and roots of 138189632204800
- 138189632204800 squared (1381896322048002) is 19096374448897897309143040000
- 138189632204800 cubed (1381896322048003) is 2638920961538340721858556301873774592000000
-
The
square root of 138189632204800 is 11755408.6362320899 -
The
cube root of 138189632204800 is 51700.1520453161
Scales and comparisons
How big is 138189632204800?- 138,189,632,204,800 seconds is equal to 4,394,002 years, 44 weeks, 3 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,189,632,204,800 would take you about ten million, nine hundred eighty-five thousand and seven 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 138189632204800 cubic inches would be around 4308.3 feet tall.
Recreational maths with 138189632204800
- 138189632204800 backwards is 008402236981831
- 138189632204800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138189632204800's digits is 55
- More coming soon!
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The information we have on file for 138189632204800 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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