42131824458884549202
42,131,824,458,884,549,202 is an even composite number composed of six prime numbers multiplied together.
What does the number 42131824458884549202 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 96 divisors.
42131824458884549202 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 42131824458884549202:
2 × 3 × 112 × 19 × 31 × 98527701288743
(2 × 3 × 11 × 11 × 19 × 31 × 98527701288743)See below for interesting mathematical facts about the number 42131824458884549202 from the Numbermatics database.
Names of 42131824458884549202
- Cardinal: 42131824458884549202 can be written as Forty-two quintillion, one hundred thirty-one quadrillion, eight hundred twenty-four trillion, four hundred fifty-eight billion, eight hundred eighty-four million, five hundred forty-nine thousand, two hundred two.
Scientific notation
- Scientific notation: 4.2131824458884549202 × 1019
Factors of 42131824458884549202
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 7
- Sum of prime factors: 98527701288809
Divisors of 42131824458884549202
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 121 186 209 242 341 363 418 589 627 682 726 1023 1178 1254 1767 2046 2299 3534 3751 4598 6479 6897 7502 11253 12958 13794 19437 22506 38874 71269 142538 213807 427614 98527701288743 197055402577486 295583103866229 591166207732458 1083804714176173 1872026324486117 2167609428352346 3054358739951033 3251414142528519 3744052648972234 5616078973458351 6108717479902066 6502828285057038 9163076219853099 11232157946916702 11921851855937903 18326152439706198 20592289569347287 23843703711875806 33597946139461363 35765555567813709 41184579138694574 58032816059069627 61776868708041861 67195892278922726 71531111135627418 100793838418384089 116065632118139254 123553737416083722 174098448177208881 201587676836768178 226515185262820157 348196896354417762 369577407534074993 453030370525640314 638360976649765897 679545555788460471 739154815068149986 1108732222602224979 1276721953299531794 1359091111576920942 1915082929949297691 2217464445204449958 3830165859898595382 7021970743147424867 14043941486294849734 21065912229442274601 42131824458884549202
- Sum of all divisors σ(n): 100640135204374671360
- Sum of proper divisors (its aliquot sum) s(n): 58508310745490122158
- 42131824458884549202 is an abundant number, because the sum of its proper divisors (58508310745490122158) is greater than itself. Its abundance is 16376486286605572956
Bases of 42131824458884549202
- Binary: 1001001000101100100100111100011111000100101110110110001010010100102
- Hexadecimal: 0x248B24F1F12ED8A52
- Base-36: 8W3ITB0ACJFPU
Squares and roots of 42131824458884549202
- 42131824458884549202 squared (421318244588845492022) is 1775090632234262337171038392322758836804
- 42131824458884549202 cubed (421318244588845492023) is 74787806915904332125031490094324307137934857007765426430408
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The
square root of 42131824458884549202 is 6490903208.2511097327 -
The
cube root of 42131824458884549202 is 3479659.5556685039
Scales and comparisons
How big is 42131824458884549202?- 42,131,824,458,884,549,202 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 42,131,824,458,884,549,202 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42131824458884549202 cubic inches would be around 289971.6 feet tall.
Recreational maths with 42131824458884549202
- 42131824458884549202 backwards is 20294548885442813124
- The number of decimal digits it has is: 20
- The sum of 42131824458884549202's digits is 84
- More coming soon!
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