40948708942108656
40,948,708,942,108,656 is an even composite number composed of six prime numbers multiplied together.
40948708942108656 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 40948708942108656:
24 × 33 × 13 × 41 × 101 × 1760791301
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 41 × 101 × 1760791301)See below for interesting mathematical facts about the number 40948708942108656 from the Numbermatics database.
Names of 40948708942108656
- Cardinal: 40948708942108656 can be written as Forty quadrillion, nine hundred forty-eight trillion, seven hundred eight billion, nine hundred forty-two million, one hundred eight thousand, six hundred fifty-six.
Scientific notation
- Scientific notation: 4.0948708942108656 × 1016
Factors of 40948708942108656
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 1760791461
Divisors of 40948708942108656
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 41 48 52 54 72 78 82 101 104 108 117 123 144 156 164 202 208 216 234 246 303 312 328 351 369 404 432 468 492 533 606 624 656 702 738 808 909 936 984 1066 1107 1212 1313 1404 1476 1599 1616 1818 1872 1968 2132 2214 2424 2626 2727 2808 2952 3198 3636 3939 4141 4264 4428 4797 4848 5252 5454 5616 5904 6396 7272 7878 8282 8528 8856 9594 10504 10908 11817 12423 12792 14391 14544 15756 16564 17712 19188 21008 21816 23634 24846 25584 28782 31512 33128 35451 37269 38376 43632 47268 49692 53833 57564 63024 66256 70902 74538 76752 94536 99384 107666 111807 115128 141804 149076 161499 189072 198768 215332 223614 230256 283608 298152 322998 430664 447228 484497 567216 596304 645996 861328 894456 968994 1291992 1453491 1788912 1937988 2583984 2906982 3875976 5813964 7751952 11627928 23255856 1760791301 3521582602 5282373903 7043165204 10564747806 14086330408 15847121709 21129495612 22890286913 28172660816 31694243418 42258991224 45780573826 47541365127 63388486836 68670860739 72192443341 84517982448 91561147652 95082730254 126776973672 137341721478 144384886682 177839921401 183122295304 190165460508 206012582217 216577330023 253553947344 274683442956 288769773364 355679842802 366244590608 380330921016 412025164434 433154660046 533519764203 549366885912 577539546728 618037746651 649731990069 711359685604 760661842032 824050328868 866309320092 938501763433 1067039528406 1098733771824 1155079093456 1236075493302 1299463980138 1422719371208 1600559292609 1648100657736 1732618640184 1877003526866 1949195970207 2134079056812 2311918978213 2472150986604 2598927960276 2815505290299 2845438742416 3201118585218 3296201315472 3465237280368 3754007053732 3898391940414 4268158113624 4623837956426 4801677877827 4944301973208 5197855920552 5631010580598 6402237170436 6935756934639 7291436777441 7508014107464 7796783880828 8446515870897 8536316227248 9247675912852 9603355755654 9888603946416 10395711841104 11262021161196 12804474340872 13871513869278 14582873554882 15016028214928 15593567761656 16893031741794 18495351825704 19206711511308 20807270803917 21874310332323 22524042322392 25339547612691 25608948681744 27743027738556 29165747109764 31187135523312 33786063483588 36990703651408 38413423022616 41614541607834 43748620664646 45048084644784 50679095225382 55486055477112 58331494219528 62421812411751 65622930996969 67572126967176 76826846045232 83229083215668 87497241329292 94788678106733 101358190450764 110972110954224 116662988439056 124843624823502 131245861993938 135144253934352 166458166431336 174994482658584 189577356213466 196868792990907 202716380901528 249687249647004 262491723987876 284366034320199 332916332862672 349988965317168 379154712426932 393737585981814 405432761803056 499374499294008 524983447975752 568732068640398 758309424853864 787475171963628 853098102960597 998748998588016 1049966895951504 1137464137280796 1516618849707728 1574950343927256 1706196205921194 2274928274561592 2559294308881791 3149900687854512 3412392411842388 4549856549123184 5118588617763582 6824784823684776 10237177235527164 13649569647369552 20474354471054328 40948708942108656
- Sum of all divisors σ(n): 130950471719652480
- Sum of proper divisors (its aliquot sum) s(n): 90001762777543824
- 40948708942108656 is an abundant number, because the sum of its proper divisors (90001762777543824) is greater than itself. Its abundance is 49053053835435168
Bases of 40948708942108656
- Binary: 100100010111101010100010010000101000000101010111111100002
- Hexadecimal: 0x917AA2428157F0
- Base-36: B773T6VSPO0
Squares and roots of 40948708942108656
- 40948708942108656 squared (409487089421086562) is 1676796764025529405201615710126336
- 40948708942108656 cubed (409487089421086563) is 68662662645151053900255300465149561669495999164416
-
The
square root of 40948708942108656 is 202357873.4374045947 -
The
cube root of 40948708942108656 is 344677.8732145071
Scales and comparisons
How big is 40948708942108656?- 40,948,708,942,108,656 seconds is equal to 1,302,042,281 years, 35 weeks, 4 days, 15 hours, 57 minutes, 36 seconds.
-
To count from 1 to 40,948,708,942,108,656 would take you about three billion, nine hundred six million, one hundred twenty-six thousand, eight hundred forty-five 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 40948708942108656 cubic inches would be around 28723.2 feet tall.
Recreational maths with 40948708942108656
- 40948708942108656 backwards is 65680124980784904
- The number of decimal digits it has is: 17
- The sum of 40948708942108656's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 40948708942108656 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 40948708942108656 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/40948708942108656/
Chicago style:
Numbermatics. 2024. "Number 40948708942108656 - Facts about the integer". https://numbermatics.com/n/40948708942108656/
The information we have on file for 40948708942108656 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 40948708942108656, math, Factors of 40948708942108656, curriculum, school, college, exams, university, Prime factorization of 40948708942108656, STEM, science, technology, engineering, physics, economics, calculator, forty quadrillion, nine hundred forty-eight trillion, seven hundred eight billion, nine hundred forty-two million, one hundred eight thousand, six hundred fifty-six.