137428386750
137,428,386,750 is an even composite number composed of six prime numbers multiplied together.
137428386750 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137428386750:
2 × 34 × 53 × 172 × 23 × 1021
(2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 23 × 1021)See below for interesting mathematical facts about the number 137428386750 from the Numbermatics database.
Names of 137428386750
- Cardinal: 137428386750 can be written as One hundred thirty-seven billion, four hundred twenty-eight million, three hundred eighty-six thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 1.3742838675 × 1011
Factors of 137428386750
Divisors of 137428386750
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 5 6 9 10 15 17 18 23 25 27 30 34 45 46 50 51 54 69 75 81 85 90 102 115 125 135 138 150 153 162 170 207 225 230 250 255 270 289 306 345 375 391 405 414 425 450 459 510 575 578 621 675 690 750 765 782 810 850 867 918 1021 1035 1125 1150 1173 1242 1275 1350 1377 1445 1530 1725 1734 1863 1955 2025 2042 2070 2125 2250 2295 2346 2550 2601 2754 2875 2890 3063 3105 3375 3450 3519 3726 3825 3910 4050 4250 4335 4590 5105 5175 5202 5750 5865 6126 6210 6375 6647 6750 6885 7038 7225 7650 7803 8625 8670 9189 9315 9775 10125 10210 10350 10557 11475 11730 12750 13005 13294 13770 14450 15315 15525 15606 17250 17357 17595 18378 18630 19125 19550 19941 20250 21114 21675 22950 23409 23483 25525 25875 26010 27567 29325 30630 31050 31671 33235 34425 34714 35190 36125 38250 39015 39882 43350 45945 46575 46818 46966 48875 51050 51750 52071 52785 55134 57375 58650 59823 63342 65025 66470 68850 70449 72250 76575 77625 78030 82701 86785 87975 91890 93150 97750 99705 104142 105570 108375 114750 117045 117415 119646 127625 130050 137835 140898 146625 153150 155250 156213 158355 165402 166175 172125 173570 175950 179469 195075 199410 211347 216750 229725 232875 234090 234830 255250 260355 263925 275670 293250 295069 299115 312426 316710 325125 332350 344250 352245 358938 382875 390150 399211 413505 422694 433925 439875 459450 465750 468639 498525 520710 527850 538407 585225 587075 590138 598230 634041 650250 689175 704490 765750 781065 791775 798422 827010 830875 867850 879750 885207 897345 937278 975375 997050 1056735 1076814 1148625 1170450 1174150 1197633 1268082 1301775 1319625 1378350 1405917 1475345 1495575 1562130 1583550 1661750 1761225 1770414 1794690 1902123 1950750 1996055 2067525 2113470 2169625 2297250 2343195 2395266 2492625 2603550 2639250 2655621 2692035 2811834 2926125 2935375 2950690 2991150 3170205 3445875 3522450 3592899 3804246 3905325 3958875 3992110 4135050 4339250 4426035 4486725 4686390 4985250 5283675 5311242 5384070 5852250 5870750 5988165 6340410 6508875 6786587 6891750 7029585 7185798 7376725 7477875 7810650 7917750 7966863 8806125 8852070 8973450 9510615 9980275 10337625 10567350 10778697 11715975 11976330 13017750 13278105 13460175 13573174 14059170 14753450 14955750 15851025 15933726 17612250 17964495 19021230 19526625 19960550 20359761 20675250 21557394 22130175 22433625 23431950 23900589 26418375 26556210 26920350 29940825 31702050 32336091 33932935 35147925 35928990 36883625 39053250 39834315 40719522 44260350 44867250 47553075 47801178 49901375 52836750 53893485 58579875 59881650 61079283 64672182 66390525 67300875 67865870 70295850 73767250 79255125 79668630 89822475 95106150 99802750 101798805 107786970 110650875 117159750 119502945 122158566 132781050 134601750 149704125 158510250 161680455 169664675 175739625 179644950 183237849 199171575 203597610 221301750 237765375 239005890 269467425 299408250 305396415 323360910 331952625 339329350 351479250 366475698 398343150 449112375 475530750 508994025 538934850 549713547 597514725 610792830 663905250 808402275 848323375 898224750 916189245 995857875 1017988050 1099427094 1195029450 1347337125 1526982075 1616804550 1696646750 1832378490 1991715750 2544970125 2694674250 2748567735 2987573625 3053964150 4042011375 4580946225 5089940250 5497135470 5975147250 7634910375 8084022750 9161892450 13742838675 15269820750 22904731125 27485677350 45809462250 68714193375 137428386750
- Sum of all divisors σ(n): 426414276288
- Sum of proper divisors (its aliquot sum) s(n): 288985889538
- 137428386750 is an abundant number, because the sum of its proper divisors (288985889538) is greater than itself. Its abundance is 151557502788
Bases of 137428386750
- Binary: 11111111111110101111011000011101111102
- Hexadecimal: 0x1FFF5EC3BE
- Base-36: 1R4TB9VI
Squares and roots of 137428386750
- 137428386750 squared (1374283867502) is 18886561484707575562500
- 137428386750 cubed (1374283867503) is 2595549676098046905058098796875000
-
The
square root of 137428386750 is 370713.3484917963 -
The
cube root of 137428386750 is 5160.5043618681
Scales and comparisons
How big is 137428386750?- 137,428,386,750 seconds is equal to 4,369 years, 41 weeks, 3 days, 7 hours, 52 minutes, 30 seconds.
-
To count from 1 to 137,428,386,750 would take you about eight thousand, seven hundred thirty-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 137428386750 cubic inches would be around 430 feet tall.
Recreational maths with 137428386750
- 137428386750 backwards is 057683824731
- 137428386750 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137428386750's digits is 54
- More coming soon!
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