1338729006311200
1,338,729,006,311,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 1338729006311200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2268 divisors.
1338729006311200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 1338729006311200:
25 × 52 × 76 × 192 × 312 × 41
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 19 × 19 × 31 × 31 × 41)See below for interesting mathematical facts about the number 1338729006311200 from the Numbermatics database.
Names of 1338729006311200
- Cardinal: 1338729006311200 can be written as One quadrillion, three hundred thirty-eight trillion, seven hundred twenty-nine billion, six million, three hundred eleven thousand, two hundred.
Scientific notation
- Scientific notation: 1.3387290063112 × 1015
Factors of 1338729006311200
Divisors of 1338729006311200
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 31 32 35 38 40 41 49 50 56 62 70 76 80 82 95 98 100 112 124 133 140 152 155 160 164 175 190 196 200 205 217 224 245 248 266 280 287 304 310 328 343 350 361 380 392 400 410 434 475 490 496 532 560 574 589 608 620 656 665 686 700 722 760 775 779 784 800 820 868 931 950 961 980 992 1025 1064 1085 1120 1148 1178 1225 1240 1271 1312 1330 1372 1400 1435 1444 1519 1520 1550 1558 1568 1640 1715 1736 1805 1862 1900 1922 1960 2009 2050 2128 2170 2296 2356 2401 2450 2480 2527 2542 2660 2744 2800 2870 2888 2945 3038 3040 3100 3116 3280 3325 3430 3472 3610 3724 3800 3844 3895 3920 4018 4100 4123 4256 4340 4592 4655 4712 4802 4805 4900 4960 5054 5084 5320 5425 5453 5488 5600 5740 5776 5890 6076 6200 6232 6355 6517 6560 6650 6727 6860 6944 7175 7220 7448 7595 7600 7688 7790 7840 8036 8200 8246 8575 8680 8897 9025 9184 9310 9424 9604 9610 9800 10045 10108 10168 10633 10640 10850 10906 10976 11191 11480 11552 11780 12005 12152 12400 12464 12635 12710 13034 13300 13454 13720 14063 14350 14440 14725 14801 14896 15190 15200 15376 15580 16072 16400 16492 16807 17150 17360 17689 17794 18050 18259 18620 18848 19208 19220 19475 19600 20090 20216 20336 20615 21266 21280 21700 21812 22382 22960 23275 23560 24010 24025 24149 24304 24800 24928 25270 25420 26068 26600 26908 27265 27440 28126 28700 28861 28880 29450 29602 29792 30380 30752 31160 31775 32144 32585 32800 32984 33614 33635 34300 34720 35378 35588 36100 36518 37240 37975 38171 38416 38440 38950 39200 39401 40180 40432 40672 41230 42532 43400 43624 44485 44764 45619 45920 46550 47089 47120 48020 48050 48298 48608 50225 50540 50840 52136 53165 53200 53816 54530 54880 55955 56252 57400 57722 57760 58900 59204 60025 60760 62279 62320 63175 63550 64288 65170 65968 67228 67270 68600 70315 70756 71176 72200 73036 74005 74431 74480 75950 76342 76832 76880 77900 78337 78802 80360 80864 82460 84035 85064 86800 87248 88445 88970 89528 91238 91295 93100 94178 94240 96040 96100 96596 98441 100450 101080 101680 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163259634916 166591464200 170756250805 171852247280 174132284900 176148553462 176264516960 179743421900 185419529960 186582439904 192789315425 195150000920 199008325600 201312632528 204074543645 205421053600 210657593440 214815309100 215924033276 220330646200 227288456080 231774412450 233228049880 239058751127 243937501150 245503210400 246770323744 251640790660 263321991800 264885042800 269905041595 273210001288 278611655840 278785715600 284110570100 287589475040 291535062350 308462904680 314550988325 324697794400 326519269832 333182928400 341512501610 343704494560 348264569800 352297106924 359486843800 370839059920 385578630850 390300001840 402625265056 408149087290 429630618200 431848066552 440371383655 440661292400 454576912160 463548824900 466456099760 478117502254 487875002300 503281581320 526643983600 529770085600 539810083190 546420002576 557571431200 568221140200 583070124700 616925809360 629101976650 653038539664 666365856800 683025003220 696529139600 704594213848 718973687600 741678119840 771157261700 780600003680 816298174580 853781254025 859261236400 863696133104 880742767310 881322584800 927097649800 932912199520 956235004508 975750004600 1006563162640 1020372718225 1053287967200 1079620166380 1092840005152 1136442280400 1166140249400 1195293755635 1233851618720 1258203953300 1306077079328 1349525207975 1366050006440 1393058279200 1409188427696 1437947375200 1542314523400 1632596349160 1673411257889 1707562508050 1718522472800 1727392266208 1761485534620 1854195299600 1912470009016 1951500009200 2013126325280 2040745436450 2159240332760 2201856918275 2272884560800 2332280498800 2390587511270 2516407906600 2699050415950 2732100012880 2818376855392 3084629046800 3265192698320 3346822515778 3415125016100 3522971069240 3708390599200 3824940018032 3903000018400 4081490872900 4318480665520 4403713836550 4664560997600 4781175022540 5032815813200 5398100831900 5464200025760 5976468778175 6169258093600 6530385396640 6693645031556 6830250032200 7045942138480 7649880036064 8162981745800 8367056289445 8636961331040 8807427673100 9562350045080 10065631626400 10796201663800 11952937556350 13387290063112 13660500064400 14091884276960 16325963491600 16734112578890 17614855346200 19124700090160 21592403327600 23905875112700 26774580126224 27321000128800 32651926983200 33468225157780 35229710692400 38249400180320 41835281447225 43184806655200 47811750225400 53549160252448 66936450315560 70459421384800 83670562894450 95623500450800 133872900631120 167341125788900 191247000901600 267745801262240 334682251577800 669364503155600 1338729006311200
- Sum of all divisors σ(n): 4259516061809106
- Sum of proper divisors (its aliquot sum) s(n): 2920787055497906
- 1338729006311200 is an abundant number, because the sum of its proper divisors (2920787055497906) is greater than itself. Its abundance is 1582058049186706
Bases of 1338729006311200
- Binary: 1001100000110010001001000101101111100100111001000002
- Hexadecimal: 0x4C19122DF2720
- Base-36: D6JFM5ED5S
Squares and roots of 1338729006311200
- 1338729006311200 squared (13387290063112002) is 1792195352338972969431245440000
- 1338729006311200 cubed (13387290063112003) is 2399263903152304252075447981320236220928000000
-
The
square root of 1338729006311200 is 36588645.8660497573 -
The
cube root of 1338729006311200 is 110212.5094717155
Scales and comparisons
How big is 1338729006311200?- 1,338,729,006,311,200 seconds is equal to 42,567,441 years, 22 weeks, 6 days, 3 hours, 46 minutes, 40 seconds.
-
To count from 1 to 1,338,729,006,311,200 would take you about one hundred twenty-seven million, seven hundred two thousand, three hundred twenty-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 1338729006311200 cubic inches would be around 9184.4 feet tall.
Recreational maths with 1338729006311200
- 1338729006311200 backwards is 0021136009278331
- The number of decimal digits it has is: 16
- The sum of 1338729006311200's digits is 46
- More coming soon!
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The information we have on file for 1338729006311200 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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