138214112400
138,214,112,400 is an even composite number composed of seven prime numbers multiplied together.
138214112400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138214112400:
24 × 33 × 52 × 7 × 13 × 67 × 2099
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 67 × 2099)See below for interesting mathematical facts about the number 138214112400 from the Numbermatics database.
Names of 138214112400
- Cardinal: 138214112400 can be written as One hundred thirty-eight billion, two hundred fourteen million, one hundred twelve thousand, four hundred.
Scientific notation
- Scientific notation: 1.382141124 × 1011
Factors of 138214112400
Divisors of 138214112400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 35 36 39 40 42 45 48 50 52 54 56 60 63 65 67 70 72 75 78 80 84 90 91 100 104 105 108 112 117 120 126 130 134 135 140 144 150 156 168 175 180 182 189 195 200 201 208 210 216 225 234 240 252 260 268 270 273 280 300 312 315 325 335 336 350 351 360 364 378 390 400 402 420 432 450 455 468 469 504 520 525 536 540 546 560 585 600 603 624 630 650 670 675 700 702 720 728 756 780 804 819 840 871 900 910 936 938 945 975 1005 1008 1040 1050 1072 1080 1092 1170 1200 1206 1260 1300 1340 1350 1365 1400 1404 1407 1456 1512 1560 1575 1608 1638 1675 1680 1742 1755 1800 1809 1820 1872 1876 1890 1950 2010 2099 2100 2160 2184 2275 2340 2345 2412 2457 2520 2600 2613 2680 2700 2730 2800 2808 2814 2925 3015 3024 3120 3150 3216 3276 3350 3484 3510 3600 3618 3640 3752 3780 3900 4020 4095 4198 4200 4221 4355 4368 4550 4680 4690 4725 4824 4914 5025 5040 5200 5226 5360 5400 5460 5616 5628 5850 6030 6097 6297 6300 6552 6700 6825 6968 7020 7035 7236 7280 7504 7560 7800 7839 8040 8190 8396 8400 8442 8710 8775 9045 9100 9360 9380 9450 9648 9828 10050 10452 10495 10800 10920 11256 11700 11725 12060 12194 12285 12594 12600 12663 13065 13104 13400 13650 13936 14040 14070 14472 14693 15075 15120 15600 15678 16080 16380 16792 16884 17420 17550 18090 18200 18291 18760 18891 18900 19656 20100 20475 20904 20990 21105 21775 21840 22512 23400 23450 23517 24120 24388 24570 25188 25200 25326 26130 26800 27287 27300 28080 28140 28944 29386 30150 30485 31356 31485 32760 33584 33768 34840 35100 35175 36180 36400 36582 37520 37782 37800 39195 39312 40200 40950 41808 41980 42210 43550 44079 45225 46800 46900 47034 48240 48776 49140 50376 50652 52260 52475 54574 54600 54873 56280 56673 58772 60300 60970 61425 62712 62970 63315 65325 65520 67536 69680 70200 70350 72360 73164 73465 75564 75600 78390 80400 81861 81900 83960 84420 87100 88158 90450 91455 93800 94068 94455 97552 98280 100752 101304 104520 104950 105525 109148 109200 109746 112560 113346 117544 117585 120600 121940 122850 125424 125940 126630 130650 132237 136435 140400 140633 140700 144720 146328 146930 151128 152425 156780 157425 163722 163800 164619 167920 168840 174200 176316 180900 182910 187600 188136 188910 191009 195975 196560 202608 209040 209900 211050 218296 219492 220395 226692 235088 235170 241200 243880 245583 245700 251880 253260 261300 264474 272870 274365 281266 281400 283365 292656 293860 302256 304850 313560 314850 316575 327444 327600 329238 337680 348400 352632 361800 365820 367325 376272 377820 382018 391950 396711 409305 419800 421899 422100 436592 438984 440790 453384 457275 470340 472275 487760 491166 491400 503760 506520 522600 528948 545740 548730 562532 562800 566730 573027 587720 587925 609700 627120 629700 633150 654888 658476 661185 682175 703165 705264 723600 731640 734650 736749 755640 764036 783900 793422 818610 823095 839600 843798 844200 877968 881580 906768 914550 940680 944550 955045 982332 982800 984431 1013040 1045200 1057896 1091480 1097460 1101975 1125064 1133460 1146054 1175440 1175850 1219400 1227915 1259400 1265697 1266300 1309776 1316952 1322370 1364350 1371825 1406330 1416825 1463280 1469300 1473498 1511280 1528072 1567800 1586844 1637220 1646190 1687596 1688400 1719081 1763160 1828229 1829100 1881360 1889100 1910090 1964664 1968862 1983555 2046525 2109495 2115792 2182960 2194920 2203950 2250128 2266920 2292108 2351700 2438800 2455830 2518800 2531394 2532600 2633904 2644740 2728700 2743650 2812660 2833650 2865135 2938600 2946996 2953293 3056144 3135600 3173688 3274440 3292380 3305925 3375192 3438162 3515825 3526320 3656458 3658200 3683745 3778200 3797091 3820180 3929328 3937724 3967110 4093050 4115475 4218990 4389840 4407900 4533840 4584216 4703400 4775225 4911660 4922155 5062788 5065200 5157243 5289480 5457400 5484687 5487300 5625320 5667300 5730270 5877200 5893992 5906586 6139575 6328485 6347376 6548880 6584760 6611850 6750384 6876324 7031650 7312916 7316400 7367490 7556400 7594182 7640360 7875448 7934220 8186100 8230950 8437980 8595405 8815800 8859879 9141145 9168432 9406800 9550450 9823320 9844310 9917775 10125576 10314486 10547475 10578960 10914800 10969374 10974600 11250640 11334600 11460540 11787984 11813172 12279150 12656970 12797603 13169520 13223700 13752648 14063300 14325675 14625832 14734980 14766465 15188364 15280720 15750896 15868440 16372200 16454061 16461900 16875960 17190810 17631600 17719758 18282290 18418725 18985455 19100900 19646640 19688620 19835550 20251152 20628972 21094950 21938748 21949200 22669200 22921080 23626344 24558300 24610775 25313940 25595206 25786215 26447400 26579637 27423435 27505296 28126600 28651350 29251664 29469960 29532930 30376728 31642425 31736880 32744400 32908122 32923800 33751920 34381620 35439516 36564580 36837450 37970910 38201800 38392809 39377240 39671100 41257944 42189900 42977025 43877496 44299395 45705725 45842160 47252688 49116600 49221550 49362183 50627880 51190412 51572430 52894800 53159274 54846870 56253200 57302700 58939920 59065860 60753456 63284850 63988015 65816244 65847600 68763240 70879032 73129160 73674900 73832325 75941820 76403600 76785618 78754480 79342200 82270305 82515888 84379800 85954050 87754992 88598790 91411450 94927275 98233200 98443100 98724366 101255760 102380824 103144860 106318548 109693740 114605400 115178427 118131720 126569700 127976030 128931075 131632488 132898185 137117175 137526480 141758064 146258320 147349800 147664650 151883640 153571236 158684400 164540610 168759600 171908100 177197580 182822900 189854550 191964045 196886200 197448732 204761648 206289720 212637096 219387480 221496975 229210800 230356854 236263440 246810915 253139400 255952060 257862150 263264976 265796370 274234350 294699600 295329300 303767280 307142472 319940075 329081220 343816200 345535281 354395160 365645800 379709100 383928090 393772400 394897464 411351525 412579440 425274192 438774960 442993950 460713708 493621830 506278800 511904120 515724300 531592740 548468700 575892135 590658600 614284944 639880150 658162440 664490925 687632400 691070562 708790320 731291600 759418200 767856180 789794928 822703050 885987900 921427416 959820225 987243660 1023808240 1031448600 1063185480 1096937400 1151784270 1181317200 1234054575 1279760300 1316324880 1328981850 1382141124 1518836400 1535712360 1645406100 1727676405 1771975800 1842854832 1919640450 1974487320 2062897200 2126370960 2193874800 2303568540 2468109150 2559520600 2657963700 2764282248 2879460675 3071424720 3290812200 3455352810 3543951600 3839280900 3948974640 4607137080 4936218300 5119041200 5315927400 5528564496 5758921350 6581624400 6910705620 7678561800 8638382025 9214274160 9872436600 10631854800 11517842700 13821411240 15357123600 17276764050 19744873200 23035685400 27642822480 34553528100 46071370800 69107056200 138214112400
- Sum of all divisors σ(n): 614793984000
- Sum of proper divisors (its aliquot sum) s(n): 476579871600
- 138214112400 is an abundant number, because the sum of its proper divisors (476579871600) is greater than itself. Its abundance is 338365759200
Bases of 138214112400
- Binary: 100000001011100011001111111100100100002
- Hexadecimal: 0x202E33FC90
- Base-36: 1RHT43O0
Squares and roots of 138214112400
- 138214112400 squared (1382141124002) is 19103140866519833760000
- 138214112400 cubed (1382141124003) is 2640323658918205700133954624000000
-
The
square root of 138214112400 is 371771.5863268735 -
The
cube root of 138214112400 is 5170.3204746801
Scales and comparisons
How big is 138214112400?- 138,214,112,400 seconds is equal to 4,394 years, 40 weeks, 4 days, 9 hours.
-
To count from 1 to 138,214,112,400 would take you about eight thousand, seven hundred eighty-nine 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 138214112400 cubic inches would be around 430.9 feet tall.
Recreational maths with 138214112400
- 138214112400 backwards is 004211412831
- 138214112400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138214112400's digits is 27
- More coming soon!
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The information we have on file for 138214112400 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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