138329740305
138,329,740,305 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138329740305 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 256 divisors.
138329740305 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138329740305:
33 × 5 × 23 × 29 × 41 × 89 × 421
(3 × 3 × 3 × 5 × 23 × 29 × 41 × 89 × 421)See below for interesting mathematical facts about the number 138329740305 from the Numbermatics database.
Names of 138329740305
- Cardinal: 138329740305 can be written as One hundred thirty-eight billion, three hundred twenty-nine million, seven hundred forty thousand, three hundred five.
Scientific notation
- Scientific notation: 1.38329740305 × 1011
Factors of 138329740305
Divisors of 138329740305
- Number of divisors d(n): 256
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Complete list of divisors:
1 3 5 9 15 23 27 29 41 45 69 87 89 115 123 135 145 205 207 261 267 345 369 421 435 445 615 621 667 783 801 943 1035 1107 1189 1263 1305 1335 1845 2001 2047 2105 2403 2581 2829 3105 3335 3567 3649 3789 3915 4005 4715 5535 5945 6003 6141 6315 7743 8487 9683 10005 10235 10701 10947 11367 12015 12209 12905 14145 17261 17835 18009 18245 18423 18945 23229 25461 27347 29049 30015 30705 32103 32841 36627 37469 38715 42435 48415 51783 53505 54735 55269 56835 59363 61045 69687 82041 83927 86305 87147 90045 92115 98523 105821 109881 112407 116145 127305 136735 145245 155349 160515 164205 178089 183135 187345 246123 251781 258915 261441 276345 280807 296815 317463 329643 337221 348435 397003 410205 419635 435735 466047 492615 500569 529105 534267 549405 562035 738369 755343 776745 842421 861787 890445 952389 1011663 1086601 1191009 1230615 1258905 1307205 1404035 1501707 1536229 1587315 1602801 1648215 1686105 1985015 2266029 2330235 2433883 2502845 2527263 2585361 2671335 2857167 3259803 3573027 3691845 3776715 4212105 4308935 4505121 4608687 4761945 5058315 5433005 5955045 7301649 7508535 7581789 7681145 7756083 8014005 9779409 10719081 11330145 11513087 12169415 12636315 12926805 13515363 13826061 14285835 16299015 17865135 21904947 22525605 23043435 23268249 24991823 29338227 34539261 35333267 36508245 37908945 38780415 41478183 44550641 48897045 53595405 57565435 65714841 67576815 69130305 74975469 103617783 105999801 109524735 116341245 124959115 133651923 146691135 172696305 176666335 207390915 222753205 224926407 310853349 317999403 328574205 374877345 400955769 518088915 529999005 668259615 674779221 953998209 1024664743 1124632035 1202867307 1554266745 1589997015 2004778845 3073994229 3373896105 4769991045 5123323715 6014336535 9221982687 15369971145 27665948061 46109913435 138329740305
- Sum of all divisors σ(n): 275643648000
- Sum of proper divisors (its aliquot sum) s(n): 137313907695
- 138329740305 is a deficient number, because the sum of its proper divisors (137313907695) is less than itself. Its deficiency is 1015832610
Bases of 138329740305
- Binary: 100000001101010001100001010100000100012
- Hexadecimal: 0x2035185411
- Base-36: 1RJPYEQ9
Squares and roots of 138329740305
- 138329740305 squared (1383297403052) is 19135117052848741493025
- 138329740305 cubed (1383297403053) is 2646955772626343371176226218872625
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The
square root of 138329740305 is 371927.0631521723 -
The
cube root of 138329740305 is 5171.7618776329
Scales and comparisons
How big is 138329740305?- 138,329,740,305 seconds is equal to 4,398 years, 23 weeks, 5 days, 15 hours, 51 minutes, 45 seconds.
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To count from 1 to 138,329,740,305 would take you about eight thousand, seven hundred ninety-six 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 138329740305 cubic inches would be around 431 feet tall.
Recreational maths with 138329740305
- 138329740305 backwards is 503047923831
- 138329740305 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138329740305's digits is 45
- More coming soon!
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