48679432252416000
48,679,432,252,416,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48679432252416000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
48679432252416000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 48679432252416000:
213 × 32 × 53 × 7 × 17 × 5419 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 17 × 5419 × 8191)See below for interesting mathematical facts about the number 48679432252416000 from the Numbermatics database.
Names of 48679432252416000
- Cardinal: 48679432252416000 can be written as Forty-eight quadrillion, six hundred seventy-nine trillion, four hundred thirty-two billion, two hundred fifty-two million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 4.8679432252416 × 1016
Factors of 48679432252416000
Divisors of 48679432252416000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 32 34 35 36 40 42 45 48 50 51 56 60 63 64 68 70 72 75 80 84 85 90 96 100 102 105 112 119 120 125 126 128 136 140 144 150 153 160 168 170 175 180 192 200 204 210 224 225 238 240 250 252 255 256 272 280 288 300 306 315 320 336 340 350 357 360 375 384 400 408 420 425 448 450 476 480 500 504 510 512 525 544 560 576 595 600 612 630 640 672 680 700 714 720 750 765 768 800 816 840 850 875 896 900 952 960 1000 1008 1020 1024 1050 1071 1088 1120 1125 1152 1190 1200 1224 1260 1275 1280 1344 1360 1400 1428 1440 1500 1530 1536 1575 1600 1632 1680 1700 1750 1785 1792 1800 1904 1920 2000 2016 2040 2048 2100 2125 2142 2176 2240 2250 2304 2380 2400 2448 2520 2550 2560 2625 2688 2720 2800 2856 2880 2975 3000 3060 3072 3150 3200 3264 3360 3400 3500 3570 3584 3600 3808 3825 3840 4000 4032 4080 4096 4200 4250 4284 4352 4480 4500 4608 4760 4800 4896 5040 5100 5120 5250 5355 5376 5419 5440 5600 5712 5760 5950 6000 6120 6144 6300 6375 6400 6528 6720 6800 7000 7140 7168 7200 7616 7650 7680 7875 8000 8064 8160 8191 8192 8400 8500 8568 8704 8925 8960 9000 9216 9520 9600 9792 10080 10200 10240 10500 10710 10752 10838 10880 11200 11424 11520 11900 12000 12240 12288 12600 12750 12800 13056 13440 13600 14000 14280 14336 14400 14875 15232 15300 15360 15750 16000 16128 16257 16320 16382 16800 17000 17136 17408 17850 17920 18000 18432 19040 19125 19200 19584 20160 20400 20480 21000 21420 21504 21676 21760 22400 22848 23040 23800 24000 24480 24573 24576 25200 25500 25600 26112 26775 26880 27095 27200 28000 28560 28672 28800 29750 30464 30600 30720 31500 32000 32256 32514 32640 32764 33600 34000 34272 34816 35700 35840 36000 36864 37933 38080 38250 38400 39168 40320 40800 40955 40960 42000 42840 43008 43352 43520 44625 44800 45696 46080 47600 48000 48771 48960 49146 50400 51000 51200 52224 53550 53760 54190 54400 56000 57120 57337 57344 57600 59500 60928 61200 61440 63000 64000 64512 65028 65280 65528 67200 68000 68544 69632 71400 71680 72000 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2863496014848 2897585253120 2971519488000 2982808348800 2994367488000 3018317972000 3042464515776 3090757603328 3169233870600 3181662238720 3195866088000 3272566874112 3380516128640 3395607718500 3408923827200 3477102303744 3579370018560 3621981566400 3728510436000 3803080644720 3817994686464 3863447004160 3961542338250 3977077798400 4056619354368 4090708592640 4225645160800 4261154784000 4346377879680 4474212523200 4491551232000 4527476958000 4545231769600 4636136404992 4753850805900 4772493358080 4829308755200 4971347248000 5070774192960 5113385740800 5282056451000 5408825805824 5432972349600 5454278123520 5592765654000 5681539712000 5726992029696 5795170506240 5942313507375 5943038976000 5965616697600 6036635944000 6084929031552 6181515206656 6338467741200 6363324477440 6391732176000 6761032257280 6791215437000 6817847654400 6954204607488 7158740037120 7243963132800 7457020872000 7606161289440 7635989372928 7726894008320 7923084676500 7954155596800 8113238708736 8181417185280 8451290321600 8522309568000 8692755759360 8948425046400 8983102464000 9054953916000 9090463539200 9272272809984 9507701611800 9544986716160 9658617510400 9942694496000 10141548385920 10226771481600 10564112902000 10817651611648 10865944699200 11185531308000 11363079424000 11453984059392 11590341012480 11884627014750 11931233395200 12073271888000 12169858063104 12676935482400 12726648954880 12783464352000 13522064514560 13582430874000 13635695308800 13908409214976 14317480074240 14487926265600 14914041744000 15212322578880 15453788016640 15846169353000 15908311193600 16226477417472 16362834370560 16902580643200 17044619136000 17385511518720 17896850092800 18109907832000 18544545619968 19015403223600 19089973432320 19317235020800 19885388992000 20283096771840 20453542963200 21128225804000 21635303223296 21731889398400 22371062616000 22726158848000 22907968118784 23180682024960 23769254029500 23862466790400 24146543776000 24339716126208 25353870964800 25566928704000 27044129029120 27164861748000 27271390617600 27816818429952 28634960148480 28975852531200 29828083488000 30424645157760 30907576033280 31692338706000 31816622387200 32452954834944 33805161286400 34089238272000 34771023037440 35793700185600 36219815664000 38030806447200 38179946864640 38634470041600 39770777984000 40566193543680 40907085926400 42256451608000 43270606446592 43463778796800 44742125232000 45452317696000 46361364049920 47538508059000 47724933580800 48293087552000 48679432252416 50707741929600 51133857408000 54088258058240 54329723496000 55633636859904 57269920296960 57951705062400 59656166976000 60849290315520 63384677412000 63633244774400 64905909669888 67610322572800 68178476544000 69542046074880 71587400371200 72439631328000 76061612894400 77268940083200 79541555968000 81132387087360 81814171852800 84512903216000 86927557593600 89484250464000 92722728099840 95077016118000 95449867161600 96586175104000 97358864504832 101415483859200 102267714816000 108176516116480 108659446992000 114539840593920 115903410124800 119312333952000 121698580631040 126769354824000 129811819339776 135220645145600 136356953088000 139084092149760 143174800742400 144879262656000 152123225788800 154537880166400 159083111936000 162264774174720 169025806432000 173855115187200 178968500928000 190154032236000 190899734323200 193172350208000 194717729009664 202830967718400 204535429632000 216353032232960 217318893984000 231806820249600 238624667904000 243397161262080 253538709648000 270441290291200 278168184299520 286349601484800 289758525312000 304246451577600 318166223872000 324529548349440 338051612864000 347710230374400 357937001856000 380308064472000 386344700416000 389435458019328 405661935436800 409070859264000 434637787968000 463613640499200 477249335808000 486794322524160 507077419296000 540882580582400 572699202969600 579517050624000 608492903155200 649059096698880 676103225728000 695420460748800 715874003712000 760616128944000 772689400832000 811323870873600 869275575936000 954498671616000 973588645048320 1014154838592000 1081765161164800 1159034101248000 1216985806310400 1352206451456000 1390840921497600 1431748007424000 1521232257888000 1622647741747200 1738551151872000 1947177290096640 2028309677184000 2318068202496000 2433971612620800 2704412902912000 2863496014848000 3042464515776000 3245295483494400 3477102303744000 4056619354368000 4867943225241600 5408825805824000 6084929031552000 6954204607488000 8113238708736000 9735886450483200 12169858063104000 16226477417472000 24339716126208000 48679432252416000
- Sum of all divisors σ(n): 212428657356963840
- Sum of proper divisors (its aliquot sum) s(n): 163749225104547840
- 48679432252416000 is an abundant number, because the sum of its proper divisors (163749225104547840) is greater than itself. Its abundance is 115069792852131840
Bases of 48679432252416000
- Binary: 101011001111000110101111100010110100010111100000000000002
- Hexadecimal: 0xACF1AF8B45E000
- Base-36: DBBF2G9E680
Squares and roots of 48679432252416000
- 48679432252416000 squared (486794322524160002) is 2369687124417559079137837056000000
- 48679432252416000 cubed (486794322524160003) is 115355023832507051995855550114288470327296000000000
-
The
square root of 48679432252416000 is 220634159.3054348419 -
The
cube root of 48679432252416000 is 365130.8275681947
Scales and comparisons
How big is 48679432252416000?- 48,679,432,252,416,000 seconds is equal to 1,547,855,370 years, 13 weeks, 2 days, 8 hours.
-
To count from 1 to 48,679,432,252,416,000 would take you about four billion, six hundred forty-three million, five hundred sixty-six thousand, one hundred ten 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 48679432252416000 cubic inches would be around 30427.6 feet tall.
Recreational maths with 48679432252416000
- 48679432252416000 backwards is 00061425223497684
- 48679432252416000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48679432252416000's digits is 63
- More coming soon!
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"Number 48679432252416000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 48679432252416000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/48679432252416000/
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The information we have on file for 48679432252416000 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!
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