48354834382848000
48,354,834,382,848,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 48354834382848000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4032 divisors.
48354834382848000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 48354834382848000:
220 × 32 × 53 × 73 × 127 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 127 × 941)See below for interesting mathematical facts about the number 48354834382848000 from the Numbermatics database.
Names of 48354834382848000
- Cardinal: 48354834382848000 can be written as Forty-eight quadrillion, three hundred fifty-four trillion, eight hundred thirty-four billion, three hundred eighty-two million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 4.8354834382848 × 1016
Factors of 48354834382848000
Divisors of 48354834382848000
- Number of divisors d(n): 4032
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 125 126 127 128 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 250 252 254 256 280 288 294 300 315 320 336 343 350 360 375 381 384 392 400 420 441 448 450 480 490 500 504 508 512 525 560 576 588 600 630 635 640 672 686 700 720 735 750 762 768 784 800 840 875 882 889 896 900 941 960 980 1000 1008 1016 1024 1029 1050 1120 1125 1143 1152 1176 1200 1225 1260 1270 1280 1344 1372 1400 1440 1470 1500 1524 1536 1568 1575 1600 1680 1715 1750 1764 1778 1792 1800 1882 1905 1920 1960 2000 2016 2032 2048 2058 2100 2205 2240 2250 2286 2304 2352 2400 2450 2520 2540 2560 2625 2667 2688 2744 2800 2823 2880 2940 3000 3048 3072 3087 3136 3150 3175 3200 3360 3430 3500 3528 3556 3584 3600 3675 3764 3810 3840 3920 4000 4032 4064 4096 4116 4200 4410 4445 4480 4500 4572 4608 4704 4705 4800 4900 5040 5080 5120 5145 5250 5334 5376 5488 5600 5646 5715 5760 5880 6000 6096 6125 6144 6174 6223 6272 6300 6350 6400 6587 6720 6860 7000 7056 7112 7168 7200 7350 7528 7620 7680 7840 7875 8000 8001 8064 8128 8192 8232 8400 8469 8575 8820 8890 8960 9000 9144 9216 9408 9410 9525 9600 9800 10080 10160 10240 10290 10500 10668 10752 10976 11025 11200 11292 11430 11520 11760 12000 12192 12250 12288 12348 12446 12544 12600 12700 12800 13174 13335 13440 13720 14000 14112 14115 14224 14336 14400 14700 15056 15240 15360 15435 15680 15750 15875 16000 16002 16128 16256 16384 16464 16800 16938 17150 17640 17780 17920 18000 18288 18375 18432 18669 18816 18820 19050 19200 19600 19761 20160 20320 20480 20580 21000 21336 21504 21952 22050 22225 22400 22584 22860 23040 23520 23525 24000 24384 24500 24576 24696 24892 25088 25200 25400 25600 25725 26348 26670 26880 27440 28000 28224 28230 28448 28575 28672 28800 29400 30112 30480 30720 30870 31115 31360 31500 31750 32000 32004 32256 32512 32768 32928 32935 33600 33876 34300 35280 35560 35840 36000 36576 36750 36864 37338 37632 37640 38100 38400 39200 39522 40005 40320 40640 40960 41160 42000 42345 42672 42875 43008 43561 43904 44100 44450 44800 45168 45720 46080 46109 47040 47050 47625 48000 48768 49000 49152 49392 49784 50176 50400 50800 51200 51450 52696 53340 53760 54880 55125 56000 56007 56448 56460 56896 57150 57344 57600 58800 59283 60224 60960 61440 61740 62230 62720 63000 63500 64000 64008 64512 65024 65536 65856 65870 66675 67200 67752 68600 70560 70575 71120 71680 72000 73152 73500 73728 74676 75264 75280 76200 76800 77175 78400 79044 80010 80640 81280 81920 82320 84000 84690 85344 85750 86016 87122 87808 88200 88900 89600 90336 91440 92160 92218 93345 94080 94100 95250 96000 97536 98000 98304 98784 98805 99568 100352 100800 101600 102400 102900 105392 106680 107520 109760 110250 111125 112000 112014 112896 112920 113792 114300 114688 115200 117600 117625 118566 119507 120448 121920 122880 123480 124460 125440 126000 127000 128000 128016 128625 129024 130048 130683 131072 131712 131740 133350 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64473112510464 65788890316800 67159492198400 69078334832640 70488096768000 71956598784000 75554428723200 76149345484800 76753705369600 80591390638080 82236112896000 83949365248000 86347918540800 92104446443520 94443035904000 95186681856000 95942131712000 96709668765696 98683335475200 100739238297600 107455187517440 107934898176000 109648150528000 115130558054400 120887085957120 123354169344000 125924047872000 126915575808000 128946225020928 134318984396800 138156669665280 140976193536000 143913197568000 151108857446400 153507410739200 161182781276160 164472225792000 167898730496000 172695837081600 188886071808000 190373363712000 191884263424000 193419337531392 197366670950400 201478476595200 214910375034880 215869796352000 230261116108800 241774171914240 246708338688000 251848095744000 268637968793600 276313339330560 287826395136000 302217714892800 322365562552320 328944451584000 335797460992000 345391674163200 377772143616000 380746727424000 383768526848000 386838675062784 402956953190400 431739592704000 460522232217600 483548343828480 493416677376000 503696191488000 537275937587200 575652790272000 604435429785600 644731125104640 671594921984000 690783348326400 755544287232000 767537053696000 805913906380800 863479185408000 967096687656960 986833354752000 1007392382976000 1074551875174400 1151305580544000 1208870859571200 1343189843968000 1381566696652800 1511088574464000 1611827812761600 1726958370816000 1934193375313920 2014784765952000 2302611161088000 2417741719142400 2686379687936000 3022177148928000 3223655625523200 3453916741632000 4029569531904000 4835483438284800 5372759375872000 6044354297856000 6907833483264000 8059139063808000 9670966876569600 12088708595712000 16118278127616000 24177417191424000 48354834382848000
- Sum of all divisors σ(n): 205124963265331200
- Sum of proper divisors (its aliquot sum) s(n): 156770128882483200
- 48354834382848000 is an abundant number, because the sum of its proper divisors (156770128882483200) is greater than itself. Its abundance is 108415294499635200
Bases of 48354834382848000
- Binary: 101010111100101001110111001101101001000000000000000000002
- Hexadecimal: 0xABCA7736900000
- Base-36: D84CW8YPZ40
Squares and roots of 48354834382848000
- 48354834382848000 squared (483548343828480002) is 2338190008192659121036591104000000
- 48354834382848000 cubed (483548343828480003) is 113062790601786040072853429930413566984192000000000
-
The
square root of 48354834382848000 is 219897326.9115566123 -
The
cube root of 48354834382848000 is 364317.4443229431
Scales and comparisons
How big is 48354834382848000?- 48,354,834,382,848,000 seconds is equal to 1,537,534,162 years, 2 weeks, 4 days, 16 hours.
-
To count from 1 to 48,354,834,382,848,000 would take you about four billion, six hundred twelve million, six hundred two thousand, four hundred eighty-six 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 48354834382848000 cubic inches would be around 30359.8 feet tall.
Recreational maths with 48354834382848000
- 48354834382848000 backwards is 00084828343845384
- 48354834382848000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48354834382848000's digits is 72
- More coming soon!
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The information we have on file for 48354834382848000 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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