137982313071681
137,982,313,071,681 is an odd composite number composed of six prime numbers multiplied together.
What does the number 137982313071681 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
137982313071681 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 137982313071681:
3 × 13 × 314 × 412 × 43 × 53
(3 × 13 × 31 × 31 × 31 × 31 × 41 × 41 × 43 × 53)See below for interesting mathematical facts about the number 137982313071681 from the Numbermatics database.
Names of 137982313071681
- Cardinal: 137982313071681 can be written as One hundred thirty-seven trillion, nine hundred eighty-two billion, three hundred thirteen million, seventy-one thousand, six hundred eighty-one.
Scientific notation
- Scientific notation: 1.37982313071681 × 1014
Factors of 137982313071681
Divisors of 137982313071681
- Number of divisors d(n): 240
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Complete list of divisors:
1 3 13 31 39 41 43 53 93 123 129 159 403 533 559 689 961 1209 1271 1333 1599 1643 1677 1681 1763 2067 2173 2279 2883 3813 3999 4929 5043 5289 6519 6837 12493 16523 17329 21359 21853 22919 28249 29627 29791 37479 39401 41323 49569 50933 51987 52111 54653 64077 65559 67363 68757 70649 72283 84747 88881 89093 89373 93439 118203 123969 152799 156333 163959 202089 211947 216849 267279 280317 387283 512213 537199 662129 677443 710489 875719 918437 923521 939679 1158209 1161849 1214707 1221431 1281013 1536639 1578923 1611597 1615441 1694243 1986387 2032329 2088253 2131467 2190119 2240773 2627157 2755311 2761883 2770563 2819037 2896609 3474627 3644121 3664293 3830999 3843039 4736769 4846323 5082729 6264759 6570357 6722319 8285649 8689827 11492997 12005773 15878603 16653169 20525999 21000733 22025159 27147289 28471547 29130049 35904479 36017319 37655917 37864361 39711403 47635809 48946613 49802987 49959507 50078671 52521533 61577997 63002199 64735843 66075477 67893689 69463963 81441867 85414641 85618373 87390147 89794879 107713437 112967751 113593083 118760969 119134209 146839839 149408961 150236013 157564599 194207529 203681067 208391889 256855119 269384637 356282907 492236693 516248239 636305969 651022723 682779929 841565959 882617957 903031519 1113038849 1167333427 1476710079 1543892597 1548744717 1552438801 1628167523 1908917907 1953068169 2006811133 2048339787 2104704359 2153382853 2524697877 2647853871 2654169563 2709094557 2783641249 3339116547 3502000281 3681590039 4631677791 4657316403 4884502569 6020433399 6314113077 6460148559 7962508689 8350923747 11044770117 20181704413 21166177799 26088544729 27361156667 27993977089 34504204319 36187336237 47860670507 60545113239 63498533397 66754868443 78265634187 82083470001 82279256453 83981931267 86292878719 103512612957 108562008711 114129291209 143582011521 200264605329 246837769359 258878636157 342387873627 867813289759 1069630333889 1121807423347 1483680785717 2603439869277 3208891001667 3365422270041 3538008027479 4451042357151 10614024082437 45994104357227 137982313071681
- Sum of all divisors σ(n): 218779658475840
- Sum of proper divisors (its aliquot sum) s(n): 80797345404159
- 137982313071681 is a deficient number, because the sum of its proper divisors (80797345404159) is less than itself. Its deficiency is 57184967667522
Bases of 137982313071681
- Binary: 111110101111110100000101100000110000100010000012
- Hexadecimal: 0x7D7E82C18441
- Base-36: 1CWS76LS8X
Squares and roots of 137982313071681
- 137982313071681 squared (1379823130716812) is 19039118720611389361444165761
- 137982313071681 cubed (1379823130716813) is 2627061639916303347247804012875864438914241
-
The
square root of 137982313071681 is 11746587.2946861039 -
The
cube root of 137982313071681 is 51674.2847036611
Scales and comparisons
How big is 137982313071681?- 137,982,313,071,681 seconds is equal to 4,387,410 years, 38 weeks, 6 days, 9 hours, 41 minutes, 21 seconds.
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To count from 1 to 137,982,313,071,681 would take you about ten million, nine hundred sixty-eight thousand, five hundred twenty-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 137982313071681 cubic inches would be around 4306.2 feet tall.
Recreational maths with 137982313071681
- 137982313071681 backwards is 186170313289731
- The number of decimal digits it has is: 15
- The sum of 137982313071681's digits is 60
- More coming soon!
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