138595331680371000
138,595,331,680,371,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138595331680371000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 192 divisors.
138595331680371000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138595331680371000:
23 × 32 × 53 × 61 × 252450513079
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 61 × 252450513079)See below for interesting mathematical facts about the number 138595331680371000 from the Numbermatics database.
Names of 138595331680371000
- Cardinal: 138595331680371000 can be written as One hundred thirty-eight quadrillion, five hundred ninety-five trillion, three hundred thirty-one billion, six hundred eighty million, three hundred seventy-one thousand.
Scientific notation
- Scientific notation: 1.38595331680371 × 1017
Factors of 138595331680371000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 252450513150
Divisors of 138595331680371000
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 61 72 75 90 100 120 122 125 150 180 183 200 225 244 250 300 305 360 366 375 450 488 500 549 600 610 732 750 900 915 1000 1098 1125 1220 1464 1500 1525 1800 1830 2196 2250 2440 2745 3000 3050 3660 4392 4500 4575 5490 6100 7320 7625 9000 9150 10980 12200 13725 15250 18300 21960 22875 27450 30500 36600 45750 54900 61000 68625 91500 109800 137250 183000 274500 549000 252450513079 504901026158 757351539237 1009802052316 1262252565395 1514703078474 2019604104632 2272054617711 2524505130790 3029406156948 3786757696185 4544109235422 5049010261580 6058812313896 6311262826975 7573515392370 9088218470844 10098020523160 11360273088555 12622525653950 15147030784740 15399481297819 18176436941688 18933788480925 22720546177110 25245051307900 30294061569480 30798962595638 31556314134875 37867576961850 45441092354220 46198443893457 50490102615800 56801365442775 61597925191276 63112628269750 75735153923700 76997406489095 90882184708440 92396887786914 94668942404625 113602730885550 123195850382552 126225256539500 138595331680371 151470307847400 153994812978190 184793775573828 189337884809250 227205461771100 230992219467285 252450513079000 277190663360742 284006827213875 307989625956380 369587551147656 378675769618500 384987032445475 454410923542200 461984438934570 554381326721484 568013654427750 615979251912760 692976658401855 757351539237000 769974064890950 923968877869140 1108762653442968 1136027308855500 1154961097336425 1385953316803710 1539948129781900 1847937755738280 1924935162227375 2272054617711000 2309922194672850 2771906633607420 3079896259563800 3464883292009275 3849870324454750 4619844389345700 5543813267214840 5774805486682125 6929766584018550 7699740648909500 9239688778691400 11549610973364250 13859533168037100 15399481297819000 17324416460046375 23099221946728500 27719066336074200 34648832920092750 46198443893457000 69297665840185500 138595331680371000
- Sum of all divisors σ(n): 476131765689403200
- Sum of proper divisors (its aliquot sum) s(n): 337536434009032200
- 138595331680371000 is an abundant number, because the sum of its proper divisors (337536434009032200) is greater than itself. Its abundance is 198941102328661200
Bases of 138595331680371000
- Binary: 1111011000110001110111000010010000101011000000001001110002
- Hexadecimal: 0x1EC63B848560138
- Base-36: 11WNY0EH2LA0
Squares and roots of 138595331680371000
- 138595331680371000 squared (1385953316803710002) is 19208665963592049358506697641000000
- 138595331680371000 cubed (1385953316803710003) is 2662231430361493300125659639367874551704811000000000
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The
square root of 138595331680371000 is 372283939.5949964963 -
The
cube root of 138595331680371000 is 517506.9667654867
Scales and comparisons
How big is 138595331680371000?- 138,595,331,680,371,000 seconds is equal to 4,406,902,843 years, 48 weeks, 1 day, 11 hours, 30 minutes.
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To count from 1 to 138,595,331,680,371,000 would take you about thirteen billion, two hundred twenty million, seven hundred eight thousand, five hundred thirty-one 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 138595331680371000 cubic inches would be around 43125.6 feet tall.
Recreational maths with 138595331680371000
- 138595331680371000 backwards is 000173086133595831
- The number of decimal digits it has is: 18
- The sum of 138595331680371000's digits is 63
- More coming soon!
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