448121248350553440
448,121,248,350,553,440 is an even composite number composed of five prime numbers multiplied together.
448121248350553440 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 448121248350553440:
25 × 33 × 5 × 132 × 613797458293
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 13 × 613797458293)See below for interesting mathematical facts about the number 448121248350553440 from the Numbermatics database.
Names of 448121248350553440
- Cardinal: 448121248350553440 can be written as Four hundred forty-eight quadrillion, one hundred twenty-one trillion, two hundred forty-eight billion, three hundred fifty million, five hundred fifty-three thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.4812124835055344 × 1017
Factors of 448121248350553440
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 613797458316
Divisors of 448121248350553440
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 65 72 78 80 90 96 104 108 117 120 130 135 144 156 160 169 180 195 208 216 234 240 260 270 288 312 338 351 360 390 416 432 468 480 507 520 540 585 624 676 702 720 780 845 864 936 1014 1040 1080 1170 1248 1352 1404 1440 1521 1560 1690 1755 1872 2028 2080 2160 2340 2535 2704 2808 3042 3120 3380 3510 3744 4056 4320 4563 4680 5070 5408 5616 6084 6240 6760 7020 7605 8112 9126 9360 10140 11232 12168 13520 14040 15210 16224 18252 18720 20280 22815 24336 27040 28080 30420 36504 40560 45630 48672 56160 60840 73008 81120 91260 121680 146016 182520 243360 365040 730080 613797458293 1227594916586 1841392374879 2455189833172 3068987291465 3682784749758 4910379666344 5524177124637 6137974582930 7365569499516 7979366957809 9206961874395 9820759332688 11048354249274 12275949165860 14731138999032 15958733915618 16572531373911 18413923748790 19641518665376 22096708498548 23938100873427 24551898331720 27620885623185 29462277998064 31917467831236 33145062747822 36827847497580 39896834789045 44193416997096 47876201746854 49103796663440 55241771246370 58924555996128 63834935662472 66290125495644 71814302620281 73655694995160 79793669578090 82862656869555 88386833994192 95752403493708 98207593326880 103731770451517 110483542492740 119690504367135 127669871324944 132580250991288 143628605240562 147311389990320 159587339156180 165725313739110 176773667988384 191504806987416 207463540903034 215442907860843 220967084985480 239381008734270 255339742649888 265160501982576 287257210481124 294622779980640 311195311354551 319174678312360 331450627478220 359071513101405 383009613974832 414927081806068 430885815721686 441934169970960 478762017468540 518658852257585 530321003965152 574514420962248 622390622709102 638349356624720 662901254956440 718143026202810 766019227949664 829854163612136 861771631443372 883868339941920 933585934063653 957524034937080 1037317704515170 1077214539304215 1149028841924496 1244781245418204 1276698713249440 1325802509912880 1436286052405620 1555976556772755 1659708327224272 1723543262886744 1867171868127306 1915048069874160 2074635409030340 2154429078608430 2298057683848992 2489562490836408 2651605019825760 2800757802190959 2872572104811240 3111953113545510 3319416654448544 3447086525773488 3734343736254612 3830096139748320 4149270818060680 4308858157216860 4667929670318265 4979124981672816 5601515604381918 5745144209622480 6223906227091020 6894173051546976 7468687472509224 8298541636121360 8617716314433720 9335859340636530 9958249963345632 11203031208763836 11490288419244960 12447812454182040 14003789010954795 14937374945018448 16597083272242720 17235432628867440 18671718681273060 22406062417527672 24895624908364080 28007578021909590 29874749890036896 34470865257734880 37343437362546120 44812124835055344 49791249816728160 56015156043819180 74686874725092240 89624249670110688 112030312087638360 149373749450184480 224060624175276720 448121248350553440
- Sum of all divisors σ(n): 1698353015201166240
- Sum of proper divisors (its aliquot sum) s(n): 1250231766850612800
- 448121248350553440 is an abundant number, because the sum of its proper divisors (1250231766850612800) is greater than itself. Its abundance is 802110518500059360
Bases of 448121248350553440
- Binary: 110001110000000101111100110101100000011110101000101011000002
- Hexadecimal: 0x6380BE6B03D4560
- Base-36: 3EKDQ3I85NC0
Squares and roots of 448121248350553440
- 448121248350553440 squared (4481212483505534402) is 200812653223258394169873954295833600
- 448121248350553440 cubed (4481212483505534403) is 89988416846993340604820158486869173077140046147584000
-
The
square root of 448121248350553440 is 669418589.7856089865 -
The
cube root of 448121248350553440 is 765241.4965700983
Scales and comparisons
How big is 448121248350553440?- 448,121,248,350,553,440 seconds is equal to 14,248,869,567 years, 26 weeks, 5 days, 20 hours, 24 minutes.
-
To count from 1 to 448,121,248,350,553,440 would take you about forty-two billion, seven hundred forty-six million, six hundred eight thousand, seven hundred two 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 448121248350553440 cubic inches would be around 63770.1 feet tall.
Recreational maths with 448121248350553440
- 448121248350553440 backwards is 044355053842121844
- The number of decimal digits it has is: 18
- The sum of 448121248350553440's digits is 63
- 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 448121248350553440 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 448121248350553440 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/448121248350553440/
Chicago style:
Numbermatics. 2024. "Number 448121248350553440 - Facts about the integer". https://numbermatics.com/n/448121248350553440/
The information we have on file for 448121248350553440 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 448121248350553440, math, Factors of 448121248350553440, curriculum, school, college, exams, university, Prime factorization of 448121248350553440, STEM, science, technology, engineering, physics, economics, calculator, four hundred forty-eight quadrillion, one hundred twenty-one trillion, two hundred forty-eight billion, three hundred fifty million, five hundred fifty-three thousand, four hundred forty.