137680393305
137,680,393,305 is an odd composite number composed of seven prime numbers multiplied together.
137680393305 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137680393305:
3 × 5 × 72 × 13 × 172 × 73 × 683
(3 × 5 × 7 × 7 × 13 × 17 × 17 × 73 × 683)See below for interesting mathematical facts about the number 137680393305 from the Numbermatics database.
Names of 137680393305
- Cardinal: 137680393305 can be written as One hundred thirty-seven billion, six hundred eighty million, three hundred ninety-three thousand, three hundred five.
Scientific notation
- Scientific notation: 1.37680393305 × 1011
Factors of 137680393305
Divisors of 137680393305
- Number of divisors d(n): 288
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Complete list of divisors:
1 3 5 7 13 15 17 21 35 39 49 51 65 73 85 91 105 119 147 195 219 221 245 255 273 289 357 365 455 511 595 637 663 683 735 833 867 949 1095 1105 1241 1365 1445 1533 1547 1785 1911 2023 2049 2499 2555 2847 3185 3315 3415 3577 3723 3757 4165 4335 4641 4745 4781 6069 6205 6643 7665 7735 8687 8879 9555 10115 10245 10731 10829 11271 11611 12495 14161 14235 14343 16133 17885 18615 18785 19929 21097 23205 23905 26061 26299 26637 30345 32487 33215 33467 34833 42483 43435 44395 46501 48399 49859 53655 54145 56355 58055 60809 62153 63291 70805 71715 78897 80665 81277 99645 100401 105485 112931 130305 131495 133185 139503 147679 149577 150943 162435 167335 174165 182427 184093 186459 197387 212415 232505 241995 243831 249295 274261 304045 310765 316455 338793 349013 394485 406385 435071 443037 452829 502005 552279 564655 568939 592161 648167 697515 738395 747885 754715 790517 822783 847603 912135 920465 932295 986935 1033753 1047039 1056601 1219155 1305213 1371305 1381709 1693965 1706817 1745065 1919827 1944501 2175355 2215185 2264145 2371551 2443091 2542809 2566031 2761395 2844695 2960805 3101259 3169803 3240835 3952585 4113915 4145127 4238015 4537169 5168765 5235195 5283005 5759481 5933221 6526065 6908545 7329273 7396207 7698093 8534085 9599135 9671963 9722505 11018839 11857755 12215455 12714045 12830155 13438789 13611507 14409251 15506295 15849015 17799663 17962217 20725635 22188621 22685845 28797405 29015889 29666105 31760183 33056517 36646365 36981035 38490465 40316367 41532547 43227753 48359815 53886651 55094195 67193945 68057535 72046255 77131873 88998315 89811085 95280549 100864757 110943105 124597641 125735519 145079445 158800915 165282585 187320263 201581835 207662735 216138765 231395619 269433255 302594271 377206557 385659365 476402745 504323785 539923111 561960789 622988205 628677595 706053299 936601315 1156978095 1311241841 1512971355 1619769333 1886032785 2118159897 2699615555 2809803945 3530266495 3933725523 6556209205 8098846665 9178692887 10590799485 19668627615 27536078661 45893464435 137680393305
- Sum of all divisors σ(n): 297605073024
- Sum of proper divisors (its aliquot sum) s(n): 159924679719
- 137680393305 is an abundant number, because the sum of its proper divisors (159924679719) is greater than itself. Its abundance is 22244286414
Bases of 137680393305
- Binary: 100000000011100110010000010100010110012
- Hexadecimal: 0x200E641459
- Base-36: 1R8ZCNDL
Squares and roots of 137680393305
- 137680393305 squared (1376803933052) is 18955890700619488823025
- 137680393305 cubed (1376803933053) is 2609854487107883228302133539847625
-
The
square root of 137680393305 is 371053.0869094071 -
The
cube root of 137680393305 is 5163.6567596503
Scales and comparisons
How big is 137680393305?- 137,680,393,305 seconds is equal to 4,377 years, 42 weeks, 1 day, 1 hour, 41 minutes, 45 seconds.
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To count from 1 to 137,680,393,305 would take you about eight thousand, seven hundred fifty-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 137680393305 cubic inches would be around 430.3 feet tall.
Recreational maths with 137680393305
- 137680393305 backwards is 503393086731
- The number of decimal digits it has is: 12
- The sum of 137680393305's digits is 48
- More coming soon!
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