40330534642824384
40,330,534,642,824,384 is an even composite number composed of five prime numbers multiplied together.
What does the number 40330534642824384 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 224 divisors.
40330534642824384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 40330534642824384:
26 × 33 × 7 × 191 × 17456566769
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 191 × 17456566769)See below for interesting mathematical facts about the number 40330534642824384 from the Numbermatics database.
Names of 40330534642824384
- Cardinal: 40330534642824384 can be written as Forty quadrillion, three hundred thirty trillion, five hundred thirty-four billion, six hundred forty-two million, eight hundred twenty-four thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 4.0330534642824384 × 1016
Factors of 40330534642824384
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 17456566972
Divisors of 40330534642824384
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 191 192 216 224 252 288 336 378 382 432 448 504 573 576 672 756 764 864 1008 1146 1337 1344 1512 1528 1719 1728 2016 2292 2674 3024 3056 3438 4011 4032 4584 5157 5348 6048 6112 6876 8022 9168 10314 10696 12033 12096 12224 13752 16044 18336 20628 21392 24066 27504 32088 36099 36672 41256 42784 48132 55008 64176 72198 82512 85568 96264 110016 128352 144396 165024 192528 256704 288792 330048 385056 577584 770112 1155168 2310336 17456566769 34913133538 52369700307 69826267076 104739400614 122195967383 139652534152 157109100921 209478801228 244391934766 279305068304 314218201842 366587902149 418957602456 471327302763 488783869532 558610136608 628436403684 733175804298 837915204912 942654605526 977567739064 1099763706447 1117220273216 1256872807368 1466351608596 1675830409824 1885309211052 1955135478128 2199527412894 2513745614736 2932703217192 3299291119341 3334204252879 3351660819648 3770618422104 3910270956256 4399054825788 5027491229472 5865406434384 6598582238682 6668408505758 7541236844208 7820541912512 8798109651576 10002612758637 10054982458944 11730812868768 13197164477364 13336817011516 15082473688416 17596219303152 20005225517274 23339429770153 23461625737536 26394328954728 26673634023032 30007838275911 30164947376832 35192438606304 40010451034548 46678859540306 52788657909456 53347268046064 60015676551822 70018289310459 70384877212608 80020902069096 90023514827733 93357719080612 105577315818912 106694536092128 120031353103644 140036578620918 160041804138192 180047029655466 186715438161224 210054867931377 211154631637824 213389072184256 240062706207288 280073157241836 320083608276384 360094059310932 373430876322448 420109735862754 480125412414576 560146314483672 630164603794131 640167216552768 720188118621864 746861752644896 840219471725508 960250824829152 1120292628967344 1260329207588262 1440376237243728 1493723505289792 1680438943451016 1920501649658304 2240585257934688 2520658415176524 2880752474487456 3360877886902032 4481170515869376 5041316830353048 5761504948974912 6721755773804064 10082633660706096 13443511547608128 20165267321412192 40330534642824384
- Sum of all divisors σ(n): 136211495718297600
- Sum of proper divisors (its aliquot sum) s(n): 95880961075473216
- 40330534642824384 is an abundant number, because the sum of its proper divisors (95880961075473216) is greater than itself. Its abundance is 55550426432648832
Bases of 40330534642824384
- Binary: 100011110100100001101000010101101111110010110100110000002
- Hexadecimal: 0x8F486856FCB4C0
- Base-36: B13ZBU6SHC0
Squares and roots of 40330534642824384
- 40330534642824384 squared (403305346428243842) is 1626552024576057763105300664979456
- 40330534642824384 cubed (403305346428243843) is 65599712775520836442939466765759386609713175855104
-
The
square root of 40330534642824384 is 200824636.5434888171 -
The
cube root of 40330534642824384 is 342934.6169373467
Scales and comparisons
How big is 40330534642824384?- 40,330,534,642,824,384 seconds is equal to 1,282,386,251 years, 5 weeks, 4 days, 1 hour, 26 minutes, 24 seconds.
-
To count from 1 to 40,330,534,642,824,384 would take you about three billion, eight hundred forty-seven million, one hundred fifty-eight thousand, seven hundred fifty-three 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 40330534642824384 cubic inches would be around 28577.9 feet tall.
Recreational maths with 40330534642824384
- 40330534642824384 backwards is 48342824643503304
- 40330534642824384 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40330534642824384's digits is 63
- More coming soon!
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