242673984
242,673,984 is an even composite number composed of five prime numbers multiplied together.
242673984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 242673984:
26 × 32 × 7 × 139 × 433
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 139 × 433)See below for interesting mathematical facts about the number 242673984 from the Numbermatics database.
Names of 242673984
- Cardinal: 242673984 can be written as Two hundred forty-two million, six hundred seventy-three thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 2.42673984 × 108
Factors of 242673984
Divisors of 242673984
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 139 144 168 192 224 252 278 288 336 417 433 448 504 556 576 672 834 866 973 1008 1112 1251 1299 1344 1668 1732 1946 2016 2224 2502 2598 2919 3031 3336 3464 3892 3897 4032 4448 5004 5196 5838 6062 6672 6928 7784 7794 8757 8896 9093 10008 10392 11676 12124 13344 13856 15568 15588 17514 18186 20016 20784 23352 24248 26688 27279 27712 31136 31176 35028 36372 40032 41568 46704 48496 54558 60187 62272 62352 70056 72744 80064 83136 93408 96992 109116 120374 124704 140112 145488 180561 186816 193984 218232 240748 249408 280224 290976 361122 421309 436464 481496 541683 560448 581952 722244 842618 872928 962992 1083366 1263927 1444488 1685236 1745856 1925984 2166732 2527854 2888976 3370472 3791781 3851968 4333464 5055708 5777952 6740944 7583562 8666928 10111416 11555904 13481888 15167124 17333856 20222832 26963776 30334248 34667712 40445664 60668496 80891328 121336992 242673984
- Sum of all divisors σ(n): 802518080
- Sum of proper divisors (its aliquot sum) s(n): 559844096
- 242673984 is an abundant number, because the sum of its proper divisors (559844096) is greater than itself. Its abundance is 317170112
Bases of 242673984
- Binary: 11100111011011101001010000002
- Hexadecimal: 0xE76E940
- Base-36: 40HCG0
Squares and roots of 242673984
- 242673984 squared (2426739842) is 58890662510432256
- 242673984 cubed (2426739843) is 14291231691806037125627904
-
The
square root of 242673984 is 15577.9967903451 -
The
cube root of 242673984 is 623.7459518105
Scales and comparisons
How big is 242673984?- 242,673,984 seconds is equal to 7 years, 37 weeks, 1 day, 17 hours, 26 minutes, 24 seconds.
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To count from 1 to 242,673,984 would take you about eleven 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 242673984 cubic inches would be around 52 feet tall.
Recreational maths with 242673984
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