48688007696842752
48,688,007,696,842,752 is an even composite number composed of five prime numbers multiplied together.
What does the number 48688007696842752 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2304 divisors.
48688007696842752 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 48688007696842752:
215 × 32 × 73 × 173 × 3132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 17 × 17 × 17 × 313 × 313)See below for interesting mathematical facts about the number 48688007696842752 from the Numbermatics database.
Names of 48688007696842752
- Cardinal: 48688007696842752 can be written as Forty-eight quadrillion, six hundred eighty-eight trillion, seven billion, six hundred ninety-six million, eight hundred forty-two thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 4.8688007696842752 × 1016
Factors of 48688007696842752
Divisors of 48688007696842752
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 49 51 56 63 64 68 72 84 96 98 102 112 119 126 128 136 144 147 153 168 192 196 204 224 238 252 256 272 288 289 294 306 313 336 343 357 384 392 408 441 448 476 504 512 544 576 578 588 612 626 672 686 714 768 784 816 833 867 882 896 939 952 1008 1024 1029 1071 1088 1152 1156 1176 1224 1252 1344 1372 1428 1536 1568 1632 1666 1734 1764 1792 1878 1904 2016 2023 2048 2058 2142 2176 2191 2304 2312 2352 2448 2499 2504 2601 2688 2744 2817 2856 3072 3087 3136 3264 3332 3468 3528 3584 3756 3808 4032 4046 4096 4116 4284 4352 4382 4608 4624 4704 4896 4913 4998 5008 5202 5321 5376 5488 5634 5712 5831 6069 6144 6174 6272 6528 6573 6664 6936 7056 7168 7497 7512 7616 8064 8092 8192 8232 8568 8704 8764 9216 9248 9408 9792 9826 9996 10016 10404 10642 10752 10976 11268 11424 11662 12138 12288 12348 12544 13056 13146 13328 13872 14112 14161 14336 14739 14994 15024 15232 15337 15963 16128 16184 16384 16464 17136 17408 17493 17528 18207 18432 18496 18816 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4972223008256 5175170886144 5264706714624 5282986946272 5555455008768 5593750884288 5682540580864 5914481012736 5943360314556 6016807673856 6037699367168 6392858153472 6481364176896 6494332092416 6792411788064 6900227848192 7019608952832 7306123603968 7407273345024 7458334512384 7762756329216 7885974683648 7924480419408 8022410231808 8349855547392 8523810871296 8641818902528 8871721519104 9056549050752 9150161190912 9359478603776 9722046265344 9741498138624 9910036168704 9944446016512 10350341772288 10529413429248 10565973892544 11110910017536 11187501768576 11365081161728 11828962025472 11886720629112 12033615347712 12075398734336 12785716306944 12962728353792 13584823576128 13800455696384 14039217905664 14612247207936 14916669024768 15525512658432 15771949367296 15848960838816 17047621742592 17283637805056 17743443038208 18113098101504 18718957207552 19444092530688 19482996277248 19888892033024 20700683544576 21058826858496 21131947785088 22221820035072 22375003537152 22730162323456 23657924050944 23773441258224 24067230695424 24150797468672 25571432613888 25925456707584 27169647152256 27600911392768 28078435811328 29224494415872 29833338049536 31051025316864 31697921677632 34095243485184 35486886076416 36226196203008 38888185061376 39777784066048 41401367089152 42117653716992 42263895570176 44750007074304 45460324646912 47315848101888 47546882516448 48301594937344 51142865227776 51850913415168 54339294304512 55201822785536 56156871622656 58448988831744 59666676099072 62102050633728 63395843355264 68190486970368 70973772152832 72452392406016 77776370122752 79555568132096 82802734178304 84235307433984 84527791140352 89500014148608 95093765032896 96603189874688 102285730455552 108678588609024 110403645571072 119333352198144 124204101267456 126791686710528 136380973940736 141947544305664 144904784812032 155552740245504 159111136264192 165605468356608 168470614867968 169055582280704 179000028297216 190187530065792 193206379749376 204571460911104 217357177218048 238666704396288 248408202534912 253583373421056 289809569624064 318222272528384 331210936713216 338111164561408 358000056594432 380375060131584 386412759498752 409142921822208 434714354436096 477333408792576 496816405069824 507166746842112 579619139248128 676222329122816 716000113188864 760750120263168 772825518997504 869428708872192 954666817585152 993632810139648 1014333493684224 1159238278496256 1352444658245632 1432000226377728 1521500240526336 1738857417744384 2028666987368448 2318476556992512 2704889316491264 2864000452755456 3043000481052672 3477714835488768 4057333974736896 5409778632982528 6086000962105344 6955429670977536 8114667949473792 12172001924210688 16229335898947584 24344003848421376 48688007696842752
- Sum of all divisors σ(n): 174833863537320000
- Sum of proper divisors (its aliquot sum) s(n): 126145855840477248
- 48688007696842752 is an abundant number, because the sum of its proper divisors (126145855840477248) is greater than itself. Its abundance is 77457848143634496
Bases of 48688007696842752
- Binary: 101011001111100101111100001010111001011110000000000000002
- Hexadecimal: 0xACF97C2B978000
- Base-36: DBEGHYFLDS0
Squares and roots of 48688007696842752
- 48688007696842752 squared (486880076968427522) is 2370522093487819060140349014933504
- 48688007696842752 cubed (486880076968427523) is 115415997933270728117699846167779861093280024363008
-
The
square root of 48688007696842752 is 220653592.0778149309 -
The
cube root of 48688007696842752 is 365152.2669806263
Scales and comparisons
How big is 48688007696842752?- 48,688,007,696,842,752 seconds is equal to 1,548,128,042 years, 44 weeks, 6 days, 8 hours, 19 minutes, 12 seconds.
-
To count from 1 to 48,688,007,696,842,752 would take you about four billion, six hundred forty-four million, three hundred eighty-four thousand, one hundred twenty-eight 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 48688007696842752 cubic inches would be around 30429.4 feet tall.
Recreational maths with 48688007696842752
- 48688007696842752 backwards is 25724869670088684
- The number of decimal digits it has is: 17
- The sum of 48688007696842752's digits is 90
- More coming soon!
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"Number 48688007696842752 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 48688007696842752 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/48688007696842752/
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The information we have on file for 48688007696842752 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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