138809404800
138,809,404,800 is an even composite number composed of six prime numbers multiplied together.
138809404800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138809404800:
27 × 32 × 52 × 11 × 292 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 29 × 29 × 521)See below for interesting mathematical facts about the number 138809404800 from the Numbermatics database.
Names of 138809404800
- Cardinal: 138809404800 can be written as One hundred thirty-eight billion, eight hundred nine million, four hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.388094048 × 1011
Factors of 138809404800
Divisors of 138809404800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 29 30 32 33 36 40 44 45 48 50 55 58 60 64 66 72 75 80 87 88 90 96 99 100 110 116 120 128 132 144 145 150 160 165 174 176 180 192 198 200 220 225 232 240 261 264 275 288 290 300 319 320 330 348 352 360 384 396 400 435 440 450 464 480 495 521 522 528 550 576 580 600 638 640 660 696 704 720 725 792 800 825 841 870 880 900 928 957 960 990 1042 1044 1056 1100 1152 1160 1200 1276 1305 1320 1392 1408 1440 1450 1563 1584 1595 1600 1650 1682 1740 1760 1800 1856 1914 1920 1980 2084 2088 2112 2175 2200 2320 2400 2475 2523 2552 2605 2610 2640 2784 2871 2880 2900 3126 3168 3190 3200 3300 3364 3480 3520 3600 3712 3828 3960 4168 4176 4205 4224 4350 4400 4640 4689 4785 4800 4950 5046 5104 5210 5220 5280 5568 5731 5742 5760 5800 6252 6336 6380 6525 6600 6728 6960 7040 7200 7569 7656 7815 7920 7975 8336 8352 8410 8700 8800 9251 9280 9378 9570 9600 9900 10092 10208 10420 10440 10560 11136 11462 11484 11600 12504 12615 12672 12760 13025 13050 13200 13456 13920 14355 14400 15109 15138 15312 15630 15840 15950 16672 16704 16820 17193 17400 17600 18502 18560 18756 19140 19800 20184 20416 20840 20880 21025 21120 22924 22968 23200 23445 23925 25008 25230 25520 26050 26100 26400 26912 27753 27840 28655 28710 28800 30218 30276 30624 31260 31680 31900 33344 33408 33640 34386 34800 35200 37004 37512 37845 38280 39075 39600 40368 40832 41680 41760 42050 45327 45848 45936 46255 46400 46890 47850 50016 50460 51040 51579 52100 52200 52800 53824 55506 55680 57310 57420 60436 60552 61248 62520 63075 63360 63800 66688 67280 68772 69600 71775 74008 75024 75545 75690 76560 78150 79200 80736 83259 83360 83520 84100 85965 90654 91696 91872 92510 92800 93780 95700 100032 100920 102080 103158 104200 104400 105600 107648 111012 114620 114840 117225 120872 121104 122496 125040 126150 127600 134560 135981 137544 138765 139200 143275 143550 148016 150048 151090 151380 153120 156300 158400 161472 166199 166518 166720 167040 168200 171930 181308 183392 183744 185020 187560 189225 191400 200064 201840 204160 206316 208400 208800 222024 226635 229240 229680 231275 234450 241744 242208 250080 252300 255200 257895 269120 271962 275088 277530 278400 286550 287100 296032 300096 302180 302760 306240 312600 316800 322944 332398 333036 333440 336400 343860 362616 366784 367488 370040 375120 377725 378450 382800 403680 412632 416295 416800 417600 429825 438161 444048 453270 458480 459360 462550 468900 483488 484416 498597 500160 504600 510400 515790 538240 543924 550176 555060 573100 574200 592064 600192 604360 605520 612480 625200 664796 666072 672800 679905 687720 693825 725232 733568 740080 750240 755450 756900 765600 807360 825264 830995 832590 833600 835200 859650 876322 888096 906540 916960 918720 925100 937800 966976 968832 997194 1000320 1009200 1020800 1031580 1087848 1100352 1110120 1133175 1146200 1148400 1184128 1208720 1211040 1250400 1289475 1314483 1329592 1332144 1345600 1359810 1375440 1387650 1450464 1480160 1495791 1500480 1510900 1513800 1531200 1614720 1650528 1661990 1665180 1667200 1719300 1752644 1776192 1813080 1833920 1837440 1850200 1875600 1933952 1994388 2018400 2063160 2081475 2175696 2190805 2200704 2220240 2266350 2292400 2296800 2417440 2422080 2492985 2500800 2578950 2628966 2659184 2664288 2691200 2719620 2750880 2775300 2900928 2960320 2991582 3000960 3021800 3027600 3062400 3301056 3323980 3330360 3399525 3438600 3505288 3552384 3626160 3667840 3700400 3751200 3943449 3988776 4036800 4126320 4154975 4162950 4351392 4381610 4440480 4532700 4584800 4593600 4819771 4834880 4844160 4985970 5001600 5157900 5257932 5318368 5328576 5439240 5501760 5550600 5801856 5920640 5983164 6043600 6055200 6572415 6602112 6647960 6660720 6799050 6877200 7010576 7252320 7400800 7478955 7502400 7886898 7977552 8073600 8252640 8309950 8325900 8702784 8763220 8880960 9065400 9169600 9187200 9639542 9669760 9971940 10315800 10515864 10636736 10657152 10878480 10954025 11003520 11101200 11966328 12087200 12110400 12464925 13144830 13295920 13321440 13598100 13754400 14021152 14459313 14504640 14801600 14957910 15004800 15773796 15955104 16505280 16619900 16651800 17405568 17526440 17761920 18130800 18339200 19279084 19717245 19943880 20631600 21031728 21273472 21756960 21908050 22202400 23932656 24098855 24174400 24220800 24929850 26289660 26591840 26642880 27196200 27508800 28042304 28918626 29009280 29603200 29915820 31547592 31910208 32862075 33010560 33239800 33303600 35052880 36261600 37394775 38558168 39434490 39887760 41263200 42063456 43377939 43513920 43816100 44404800 47865312 48197710 48348800 49859700 52579320 53183680 53285760 54392400 55017600 56084608 57837252 59831640 63095184 63820416 65724150 66479600 66607200 70105760 72296565 72523200 74789550 77116336 78868980 79775520 82526400 84126912 86755878 87027840 87632200 88809600 95730624 96395420 98586225 99719400 105158640 106367360 108784800 115674504 119663280 120494275 126190368 131448300 132959200 133214400 140211520 144593130 145046400 149579100 154232672 157737960 159551040 165052800 168253824 173511756 175264400 191461248 192790840 197172450 199438800 210317280 216889695 217569600 231349008 239326560 240988550 252380736 262896600 265918400 266428800 280423040 289186260 299158200 308465344 315475920 319102080 347023512 350528800 361482825 385581680 394344900 398877600 420634560 433779390 435139200 462698016 478653120 481977100 504761472 525793200 531836800 578372520 598316400 616930688 630951840 694047024 701057600 722965650 771163360 788689800 797755200 841269120 867558780 925396032 957306240 963954200 1051586400 1084448475 1156745040 1196632800 1261903680 1388094048 1402115200 1445931300 1542326720 1577379600 1595510400 1735117560 1850792064 1927908400 2103172800 2168896950 2313490080 2393265600 2523807360 2776188096 2891862600 3084653440 3154759200 3470235120 3855816800 4206345600 4337793900 4626980160 4786531200 5552376192 5783725200 6309518400 6940470240 7711633600 8675587800 9253960320 11567450400 12619036800 13880940480 15423267200 17351175600 23134900800 27761880960 34702351200 46269801600 69404702400 138809404800
- Sum of all divisors σ(n): 560680085160
- Sum of proper divisors (its aliquot sum) s(n): 421870680360
- 138809404800 is an abundant number, because the sum of its proper divisors (421870680360) is greater than itself. Its abundance is 283061275560
Bases of 138809404800
- Binary: 100000010100011010111101101101100000002
- Hexadecimal: 0x2051AF6D80
- Base-36: 1RRNJA80
Squares and roots of 138809404800
- 138809404800 squared (1388094048002) is 19268050860930263040000
- 138809404800 cubed (1388094048003) is 2674586671661857386889838592000000
-
The
square root of 138809404800 is 372571.3418930661 -
The
cube root of 138809404800 is 5177.7327525637
Scales and comparisons
How big is 138809404800?- 138,809,404,800 seconds is equal to 4,413 years, 36 weeks, 6 days, 8 hours.
-
To count from 1 to 138,809,404,800 would take you about eight thousand, eight hundred twenty-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 138809404800 cubic inches would be around 431.5 feet tall.
Recreational maths with 138809404800
- 138809404800 backwards is 008404908831
- 138809404800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138809404800's digits is 45
- More coming soon!
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