137709403551225
137,709,403,551,225 is an odd composite number composed of five prime numbers multiplied together.
What does the number 137709403551225 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 405 divisors.
137709403551225 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred five divisors.
Prime factorization of 137709403551225:
34 × 52 × 112 × 1512 × 1572
(3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 151 × 151 × 157 × 157)See below for interesting mathematical facts about the number 137709403551225 from the Numbermatics database.
Names of 137709403551225
- Cardinal: 137709403551225 can be written as One hundred thirty-seven trillion, seven hundred nine billion, four hundred three million, five hundred fifty-one thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.37709403551225 × 1014
Factors of 137709403551225
Divisors of 137709403551225
- Number of divisors d(n): 405
-
Complete list of divisors:
1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 151 157 165 225 275 297 363 405 453 471 495 605 675 755 785 825 891 1089 1359 1413 1485 1661 1727 1815 2025 2265 2355 2475 3025 3267 3775 3925 4077 4239 4455 4983 5181 5445 6795 7065 7425 8305 8635 9075 9801 11325 11775 12231 12717 14949 15543 16335 18271 18997 20385 21195 22275 22801 23707 24649 24915 25905 27225 33975 35325 41525 43175 44847 46629 49005 54813 56991 61155 63585 68403 71121 73947 74745 77715 81675 91355 94985 101925 105975 114005 118535 123245 124575 129525 134541 139887 164439 170973 205209 213363 221841 224235 233145 245025 250811 260777 271139 274065 284955 305775 317925 342015 355605 369735 373725 388575 456775 474925 493317 512919 570025 592675 615627 616225 640089 665523 672705 699435 752433 782331 813417 822195 854865 1026045 1066815 1109205 1121175 1165725 1254055 1303885 1355695 1370325 1424775 1479951 1538757 1710075 1778025 1846881 1848675 1920267 1996569 2257299 2346993 2440251 2466585 2564595 2758921 2868547 2982529 3078135 3200445 3327615 3363525 3497175 3579757 3721999 3762165 3911655 4067085 4110975 4274325 5130225 5334075 5546025 6270275 6519425 6771897 6778475 7040979 7320753 7399755 7693785 8276763 8605641 8947587 9234405 9601335 9982845 10739271 11165997 11286495 11734965 12201255 12332925 12822975 13794605 14342735 14912645 15390675 16002225 16638075 17898785 18609995 18810825 19558275 20315691 20335425 21122937 21962259 24830289 25816923 26842761 32217813 33497991 33859485 35204895 36603765 36998775 38468925 39377327 40941989 41383815 43028205 44737935 46172025 48006675 49914225 53696355 55829985 56432475 58674825 61006275 68973025 71713675 74490867 74563225 77450769 80528283 89493925 93049975 96653439 100493973 101578455 105614685 109811295 118131981 122825967 124151445 129084615 134213805 161089065 167489955 169297425 176024475 183018825 196886635 204709945 206919075 215141025 223472601 223689675 232352307 241584849 268481775 279149925 289960317 301481919 354395943 368477901 372454335 387253845 402641415 433150597 450361879 483267195 502469865 507892275 528073425 549056475 562021849 590659905 614129835 620757225 645423075 671069025 805445325 837449775 984433175 1023549725 1063187829 1105433703 1117363005 1161761535 1207924245 1299451791 1351085637 1449801585 1507409595 1686065547 1771979715 1842389505 1862271675 1936269225 2013207075 2165752985 2251809395 2416335975 2512349325 2810109245 2953299525 3070649175 3189563487 3316301109 3898355373 4053256911 5058196641 5315939145 5527168515 5586815025 5808807675 6039621225 6182240339 6497258955 6755428185 7249007925 7537047975 8430327735 8859898575 9211947525 10828764925 11259046975 11695066119 12159770733 14050546225 15174589923 15947817435 16581505545 18546721017 19491776865 20266284555 25290983205 26579695725 27635842575 30911201695 32486294775 33777140925 35085198357 36479312199 42151638675 45523769769 55640163051 58475330595 60798853665 68004643729 75872949615 79739087175 82907527725 92733605085 97458884325 101331422775 126454916025 154556008475 166920489153 175425991785 182396560995 204013931187 227618848845 278200815255 292376652975 303994268325 340023218645 379364748075 463668025425 500761467459 612041793561 834602445765 877129958925 911982804975 1020069655935 1138094244225 1391004076275 1700116093225 1836125380683 2503807337295 3060208967805 4173012228825 5100348279675 5508376142049 9180626903415 12519036686475 15301044839025 27541880710245 45903134517075 137709403551225
- Sum of all divisors σ(n): 284061521205693
- Sum of proper divisors (its aliquot sum) s(n): 146352117654468
- 137709403551225 is an abundant number, because the sum of its proper divisors (146352117654468) is greater than itself. Its abundance is 8642714103243
Bases of 137709403551225
- Binary: 111110100111110111110000001010010110101111110012
- Hexadecimal: 0x7D3EF814B5F9
- Base-36: 1CTATRBMK9
Squares and roots of 137709403551225
- 137709403551225 squared (1377094035512252) is 18963879826434140641199000625
- 137709403551225 cubed (1377094035512253) is 2611504579915353783843710755210295994515625
-
137709403551225 is a
perfect square number . Itssquare root is 11734965 -
The
cube root of 137709403551225 is 51640.1940735047
Scales and comparisons
How big is 137709403551225?- 137,709,403,551,225 seconds is equal to 4,378,733 years, 3 weeks, 4 days, 9 hours, 33 minutes, 45 seconds.
-
To count from 1 to 137,709,403,551,225 would take you about ten million, nine hundred forty-six thousand, eight hundred thirty-two 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 137709403551225 cubic inches would be around 4303.3 feet tall.
Recreational maths with 137709403551225
- 137709403551225 backwards is 522155304907731
- The number of decimal digits it has is: 15
- The sum of 137709403551225's digits is 54
- More coming soon!
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