48468591482427648
48,468,591,482,427,648 is an even composite number composed of six prime numbers multiplied together.
What does the number 48468591482427648 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
48468591482427648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 48468591482427648:
28 × 32 × 7 × 23 × 372 × 4573
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 23 × 37 × 37 × 457 × 457 × 457)See below for interesting mathematical facts about the number 48468591482427648 from the Numbermatics database.
Names of 48468591482427648
- Cardinal: 48468591482427648 can be written as Forty-eight quadrillion, four hundred sixty-eight trillion, five hundred ninety-one billion, four hundred eighty-two million, four hundred twenty-seven thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 4.8468591482427648 × 1016
Factors of 48468591482427648
Divisors of 48468591482427648
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 37 42 46 48 56 63 64 69 72 74 84 92 96 111 112 126 128 138 144 148 161 168 184 192 207 222 224 252 256 259 276 288 296 322 333 336 368 384 414 444 448 457 483 504 518 552 576 592 644 666 672 736 768 777 828 851 888 896 914 966 1008 1036 1104 1152 1184 1288 1332 1344 1369 1371 1449 1472 1554 1656 1702 1776 1792 1828 1932 2016 2072 2208 2304 2331 2368 2553 2576 2664 2688 2738 2742 2898 2944 3108 3199 3312 3404 3552 3656 3864 4032 4107 4113 4144 4416 4662 4736 5106 5152 5328 5376 5476 5484 5796 5888 5957 6216 6398 6624 6808 7104 7312 7659 7728 8064 8214 8226 8288 8832 9324 9472 9583 9597 10212 10304 10511 10656 10952 10968 11592 11914 12321 12432 12796 13248 13616 14208 14624 15318 15456 16128 16428 16452 16576 16909 17664 17871 18648 19166 19194 20424 20608 21022 21312 21904 21936 23184 23828 24642 24864 25592 26496 27232 28416 28749 28791 29248 30636 30912 31487 31533 32856 32904 33152 33818 35742 37296 38332 38388 40848 41216 42044 42624 43808 43872 46368 47656 49284 49728 50727 51184 52992 53613 54464 57498 57582 58496 61272 61824 62974 63066 65712 65808 66304 67636 71484 73577 74592 76664 76776 81696 84088 85248 86247 87616 87744 92736 94461 94599 95312 98568 99456 101454 102368 107226 108928 114996 115164 116992 118363 122544 123648 125948 126132 131424 131616 135272 142968 147154 149184 152181 153328 153552 163392 168176 172494 175232 175488 185472 188922 189198 190624 197136 198912 202908 204736 208849 214452 217856 220409 220731 229992 230328 236726 245088 251896 252264 262848 263232 270544 283383 285936 294308 298368 304362 306656 307104 326784 336352 344988 350464 350976 355089 370944 377844 378396 381248 388907 394272 405816 409472 417698 428904 440818 441462 459984 460656 473452 490176 503792 504528 525696 526464 541088 566766 571872 588616 596736 608724 613312 614208 625633 626547 653568 661227 662193 672704 689976 710178 755688 756792 762496 777814 788544 811632 818944 835396 857808 881636 882924 919968 921312 946904 980352 1007584 1009056 1051392 1052928 1065267 1082176 1133532 1143744 1166721 1177232 1217448 1226624 1228416 1251266 1253094 1322454 1324386 1345408 1379952 1420356 1461943 1511376 1513584 1524992 1555628 1577088 1623264 1670792 1715616 1763272 1765848 1839936 1842624 1876899 1879641 1893808 1960704 1983681 2015168 2018112 2130534 2164352 2267064 2287488 2333442 2354464 2434896 2453248 2456832 2502532 2506188 2644908 2648772 2690816 2722349 2759904 2840712 2923886 3022752 3027168 3111256 3154176 3246528 3341584 3431232 3500163 3526544 3531696 3679872 3685248 3753798 3759282 3787616 3967362 4030336 4036224 4261068 4328704 4379431 4385829 4534128 4574976 4666884 4708928 4803527 4869792 5005064 5012376 5289816 5297544 5444698 5519808 5630697 5681424 5847772 6045504 6054336 6222512 6493056 6683168 6862464 7000326 7053088 7063392 7359744 7370496 7507596 7518564 7575232 7727413 7934724 8060672 8072448 8167047 8522136 8758862 8771658 9068256 9333768 9417856 9607054 9739584 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14238716651712 14634236558704 15151169578752 15594784904256 16463516128542 16724841781376 17676364508544 17702188269696 18031470045546 18193915721632 18815447004048 18984955535616 20468155186836 20793046539008 21036715053137 21951354838056 23392177356384 24041960060728 25087262672064 26514546762816 27047205068319 27290873582448 28477433303424 29268473117408 31189569808512 32927032257084 33449683562752 35352729017088 35404376539392 36062940091092 36387831443264 37630894008096 40936310373672 42073430106274 43902709676112 46784354712768 48083920121456 50174525344128 53029093525632 54094410136638 54581747164896 56954866606848 58536946234816 62379139617024 63110145159411 65854064514168 72125880182184 72775662886528 75261788016192 81872620747344 84146860212548 87805419352224 93568709425536 96167840242912 100349050688256 106058187051264 108188820273276 109163494329792 117073892469632 126220290318822 131708129028336 144251760364368 145551325773056 150523576032384 163745241494688 168293720425096 175610838704448 187137418851072 189330435478233 192335680485824 216377640546552 218326988659584 234147784939264 252440580637644 263416258056672 288503520728736 301047152064768 327490482989376 336587440850192 351221677408896 378660870956466 384671360971648 432755281093104 436653977319168 504881161275288 526832516113344 577007041457472 654980965978752 673174881700384 702443354817792 757321741912932 769342721943296 865510562186208 1009762322550576 1053665032226688 1154014082914944 1309961931957504 1346349763400768 1514643483825864 1731021124372416 2019524645101152 2107330064453376 2308028165829888 2692699526801536 3029286967651728 3462042248744832 4039049290202304 5385399053603072 6058573935303456 6924084497489664 8078098580404608 12117147870606912 16156197160809216 24234295741213824 48468591482427648
- Sum of all divisors σ(n): 171656216594553600
- Sum of proper divisors (its aliquot sum) s(n): 123187625112125952
- 48468591482427648 is an abundant number, because the sum of its proper divisors (123187625112125952) is greater than itself. Its abundance is 74719033629698304
Bases of 48468591482427648
- Binary: 101011000011000111101101010110100001001011011001000000002
- Hexadecimal: 0xAC31ED5A12D900
- Base-36: D98OJJEOU80
Squares and roots of 48468591482427648
- 48468591482427648 squared (484685914824276482) is 2349204360290457948744371554811904
- 48468591482427648 cubed (484685914824276483) is 113862626447655981726660133497863979333273929121792
-
The
square root of 48468591482427648 is 220155834.5409624795 -
The
cube root of 48468591482427648 is 364602.9120829145
Scales and comparisons
How big is 48468591482427648?- 48,468,591,482,427,648 seconds is equal to 1,541,151,285 years, 49 weeks, 15 hours, 40 minutes, 48 seconds.
-
To count from 1 to 48,468,591,482,427,648 would take you about four billion, six hundred twenty-three million, four hundred fifty-three thousand, eight hundred fifty-seven 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 48468591482427648 cubic inches would be around 30383.6 feet tall.
Recreational maths with 48468591482427648
- 48468591482427648 backwards is 84672428419586484
- The number of decimal digits it has is: 17
- The sum of 48468591482427648's digits is 90
- More coming soon!
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"Number 48468591482427648 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 48468591482427648 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/48468591482427648/
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Numbermatics. 2024. "Number 48468591482427648 - Facts about the integer". https://numbermatics.com/n/48468591482427648/
The information we have on file for 48468591482427648 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 48468591482427648, math, Factors of 48468591482427648, curriculum, school, college, exams, university, Prime factorization of 48468591482427648, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, four hundred sixty-eight trillion, five hundred ninety-one billion, four hundred eighty-two million, four hundred twenty-seven thousand, six hundred forty-eight.