137380224094750
137,380,224,094,750 is an even composite number composed of seven prime numbers multiplied together.
137380224094750 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137380224094750:
2 × 53 × 72 × 13 × 19 × 19801 × 2293
(2 × 5 × 5 × 5 × 7 × 7 × 13 × 19 × 19801 × 2293)See below for interesting mathematical facts about the number 137380224094750 from the Numbermatics database.
Names of 137380224094750
- Cardinal: 137380224094750 can be written as One hundred thirty-seven trillion, three hundred eighty billion, two hundred twenty-four million, ninety-four thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 1.3738022409475 × 1014
Factors of 137380224094750
Divisors of 137380224094750
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 5 7 10 13 14 19 25 26 35 38 49 50 65 70 91 95 98 125 130 133 175 182 190 245 247 250 266 325 350 455 475 490 494 637 650 665 875 910 931 950 1225 1235 1274 1330 1625 1729 1750 1862 2275 2293 2375 2450 2470 3185 3250 3325 3458 4550 4586 4655 4750 6125 6175 6370 6650 8645 9310 11375 11465 12103 12250 12350 15925 16051 16625 17290 19801 22750 22930 23275 24206 29809 30875 31850 32102 33250 39602 43225 43567 46550 57325 59618 60515 61750 79625 80255 86450 87134 99005 112357 114650 116375 121030 138607 149045 159250 160510 198010 208663 216125 217835 224714 232750 257413 277214 286625 298090 302575 304969 376219 401275 417326 432250 435670 495025 514826 561785 566371 573250 605150 609938 693035 745225 752438 802550 970249 990050 1043315 1089175 1123570 1132742 1287065 1386070 1460641 1490450 1512875 1524845 1801891 1881095 1940498 2006375 2086630 2134783 2178350 2475125 2574130 2633533 2808925 2831855 2921282 3025750 3049690 3465175 3603782 3726125 3762190 3964597 4012750 4269566 4851245 4890847 4950250 5216575 5267066 5445875 5617850 5663710 6435325 6930350 7303205 7452250 7624225 7929194 9009455 9405475 9702490 9781694 10433150 10673915 10891750 12613237 12870650 13167665 14044625 14159275 14606410 15248450 17325875 18018910 18434731 18810950 19822985 21347830 24256225 24454235 25226474 26082875 26335330 27752179 28089250 28318550 32176625 34235929 34651750 36516025 36869462 38121125 39645970 45047275 45403693 47027375 48512450 48908470 52165750 53369575 55504358 63066185 64353250 65838325 68471858 70796375 73032050 76242250 90094550 90807386 92173655 94054750 99114925 106739150 121281125 122271175 126132370 131676650 138760895 141592750 171179645 182580125 184347310 198229850 225236375 227018465 239651503 242562250 244542350 266847875 277521790 315330925 317825851 329191625 342359290 365160250 450472750 454036930 460868275 479303006 495574625 533695750 590248009 611355875 630661850 635651702 658383250 693804475 855898225 862670167 921736550 991149250 1135092325 1180496018 1198257515 1222711750 1387608950 1576654625 1589129255 1711796450 1725340334 2224780957 2270184650 2304341375 2396515030 2951240045 3153309250 3178258510 3469022375 4131736063 4279491125 4313350835 4449561914 4608682750 5675461625 5902480090 5991287575 6038691169 6938044750 7945646275 8263472126 8558982250 8626701670 11123904785 11214712171 11350923250 11982575150 12077382338 14756200225 15891292550 20658680315 21566754175 22247809570 22429424342 28922152441 29512400450 29956437875 30193455845 39728231375 41317360630 42270838183 43133508350 55619523925 56073560855 57844304882 59912875750 60386911690 73781001125 78502985197 79456462750 84541676366 103293401575 107833770875 111239047850 112147121710 144610762205 147562002250 150967279225 157005970394 206586803150 211354190915 215667541750 278097619625 280367804275 289221524410 301934558450 392514925985 422708381830 516467007875 549520896379 556195239250 560735608550 723053811025 754836396125 785029851970 1032934015750 1056770954575 1099041792758 1401839021375 1446107622050 1509672792250 1962574629925 2113541909150 2747604481895 2803678042750 3615269055125 3925149259850 5283854772875 5495208963790 7230538110250 9812873149625 10567709545750 13738022409475 19625746299250 27476044818950 68690112047375 137380224094750
- Sum of all divisors σ(n): 339297929792640
- Sum of proper divisors (its aliquot sum) s(n): 201917705697890
- 137380224094750 is an abundant number, because the sum of its proper divisors (201917705697890) is greater than itself. Its abundance is 64537481603140
Bases of 137380224094750
- Binary: 111110011110010010100110111010011010010000111102
- Hexadecimal: 0x7CF25374D21E
- Base-36: 1CP3LQDGDA
Squares and roots of 137380224094750
- 137380224094750 squared (1373802240947502) is 18873325972323728456977562500
- 137380224094750 cubed (1373802240947503) is 2592821751491099251812425170522624046875000
-
The
square root of 137380224094750 is 11720931.0250828625 -
The
cube root of 137380224094750 is 51599.0144753421
Scales and comparisons
How big is 137380224094750?- 137,380,224,094,750 seconds is equal to 4,368,266 years, 9 weeks, 2 days, 23 hours, 39 minutes, 10 seconds.
-
To count from 1 to 137,380,224,094,750 would take you about ten million, nine hundred twenty thousand, six hundred sixty-five 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 137380224094750 cubic inches would be around 4299.9 feet tall.
Recreational maths with 137380224094750
- 137380224094750 backwards is 057490422083731
- The number of decimal digits it has is: 15
- The sum of 137380224094750's digits is 55
- More coming soon!
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