137738379740686200
137,738,379,740,686,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 137738379740686200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
137738379740686200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137738379740686200:
23 × 32 × 52 × 7 × 101 × 108233836037
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 101 × 108233836037)See below for interesting mathematical facts about the number 137738379740686200 from the Numbermatics database.
Names of 137738379740686200
- Cardinal: 137738379740686200 can be written as One hundred thirty-seven quadrillion, seven hundred thirty-eight trillion, three hundred seventy-nine billion, seven hundred forty million, six hundred eighty-six thousand, two hundred.
Scientific notation
- Scientific notation: 1.377383797406862 × 1017
Factors of 137738379740686200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 108233836155
Divisors of 137738379740686200
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 101 105 120 126 140 150 168 175 180 200 202 210 225 252 280 300 303 315 350 360 404 420 450 504 505 525 600 606 630 700 707 808 840 900 909 1010 1050 1212 1260 1400 1414 1515 1575 1800 1818 2020 2100 2121 2424 2520 2525 2828 3030 3150 3535 3636 4040 4200 4242 4545 5050 5656 6060 6300 6363 7070 7272 7575 8484 9090 10100 10605 12120 12600 12726 14140 15150 16968 17675 18180 20200 21210 22725 25452 28280 30300 31815 35350 36360 42420 45450 50904 53025 60600 63630 70700 84840 90900 106050 127260 141400 159075 181800 212100 254520 318150 424200 636300 1272600 108233836037 216467672074 324701508111 432935344148 541169180185 649403016222 757636852259 865870688296 974104524333 1082338360370 1298806032444 1515273704518 1623507540555 1948209048666 2164676720740 2272910556777 2597612064888 2705845900925 3030547409036 3247015081110 3788184261295 3896418097332 4329353441480 4545821113554 4870522621665 5411691801850 6061094818072 6494030162220 6818731670331 7576368522590 7792836194664 8117537702775 9091642227108 9741045243330 10823383603700 10931617439737 11364552783885 12988060324440 13637463340662 15152737045180 16235075405550 18183284454216 18940921306475 19482090486660 21646767207400 21863234879474 22729105567770 24352613108325 27274926681324 30305474090360 32470150811100 32794852319211 34093658351655 37881842612950 38964180973320 43726469758948 45458211135540 48705226216650 54549853362648 54658087198685 56822763919425 64940301622200 65589704638422 68187316703310 75763685225900 76521322078159 87452939517896 90916422271080 97410452433300 98384556957633 109316174397370 113645527838850 131179409276844 136374633406620 151527370451800 153042644156318 163974261596055 170468291758275 194820904866600 196769113915266 218632348794740 227291055677700 229563966234477 262358818553688 272749266813240 273290435993425 306085288312636 327948523192110 340936583516550 382606610390795 393538227830532 437264697589480 454582111355400 459127932468954 491922784788165 546580871986850 612170576625272 655897046384220 681873167033100 688691898703431 765213220781590 787076455661064 819871307980275 918255864937908 983845569576330 1093161743973700 1147819831172385 1311794092768440 1363746334066200 1377383797406862 1530426441563180 1639742615960550 1836511729875816 1913033051953975 1967691139152660 2186323487947400 2295639662344770 2459613923940825 2754767594813724 3060852883126360 3279485231921100 3443459493517155 3826066103907950 3935382278305320 4591279324689540 4919227847881650 5509535189627448 5739099155861925 6558970463842200 6886918987034310 7652132207815900 9182558649379080 9838455695763300 11478198311723850 13773837974068620 15304264415631800 17217297467585775 19676911391526600 22956396623447700 27547675948137240 34434594935171550 45912793246895400 68869189870343100 137738379740686200
- Sum of all divisors σ(n): 533887207701363360
- Sum of proper divisors (its aliquot sum) s(n): 396148827960677160
- 137738379740686200 is an abundant number, because the sum of its proper divisors (396148827960677160) is greater than itself. Its abundance is 258410448219990960
Bases of 137738379740686200
- Binary: 1111010010101100001010011100111000110000110100111011110002
- Hexadecimal: 0x1E958539C61A778
- Base-36: 11O86I460Z20
Squares and roots of 137738379740686200
- 137738379740686200 squared (1377383797406862002) is 18971861253589474619955646870440000
- 137738379740686200 cubed (1377383797406862003) is 2613153429734517984462756168082220865768095928000000
-
The
square root of 137738379740686200 is 371131216.3382193859 -
The
cube root of 137738379740686200 is 516438.1578480455
Scales and comparisons
How big is 137738379740686200?- 137,738,379,740,686,200 seconds is equal to 4,379,654,422 years, 50 weeks, 3 days, 15 hours, 30 minutes.
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To count from 1 to 137,738,379,740,686,200 would take you about thirteen billion, one hundred thirty-eight million, nine hundred sixty-three thousand, two hundred sixty-eight 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 137738379740686200 cubic inches would be around 43036.5 feet tall.
Recreational maths with 137738379740686200
- 137738379740686200 backwards is 002686047973837731
- The number of decimal digits it has is: 18
- The sum of 137738379740686200's digits is 81
- More coming soon!
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