48977148084480000
48,977,148,084,480,000 is an even composite number composed of seven prime numbers multiplied together.
48977148084480000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 48977148084480000:
211 × 32 × 54 × 7 × 112 × 257 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 11 × 11 × 257 × 19531)See below for interesting mathematical facts about the number 48977148084480000 from the Numbermatics database.
Names of 48977148084480000
- Cardinal: 48977148084480000 can be written as Forty-eight quadrillion, nine hundred seventy-seven trillion, one hundred forty-eight billion, eighty-four million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 4.897714808448 × 1016
Factors of 48977148084480000
Divisors of 48977148084480000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 50 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 99 100 105 110 112 120 121 125 126 128 132 140 144 150 154 160 165 168 175 176 180 192 198 200 210 220 224 225 231 240 242 250 252 256 257 264 275 280 288 300 308 315 320 330 336 350 352 360 363 375 384 385 396 400 420 440 448 450 462 480 484 495 500 504 512 514 525 528 550 560 576 600 605 616 625 630 640 660 672 693 700 704 720 726 750 768 770 771 792 800 825 840 847 875 880 896 900 924 960 968 990 1000 1008 1024 1028 1050 1056 1089 1100 1120 1125 1152 1155 1200 1210 1232 1250 1260 1280 1285 1320 1344 1375 1386 1400 1408 1440 1452 1500 1536 1540 1542 1575 1584 1600 1650 1680 1694 1750 1760 1792 1799 1800 1815 1848 1875 1920 1925 1936 1980 2000 2016 2048 2056 2100 2112 2178 2200 2240 2250 2304 2310 2313 2400 2420 2464 2475 2500 2520 2541 2560 2570 2625 2640 2688 2750 2772 2800 2816 2827 2880 2904 3000 3025 3072 3080 3084 3150 3168 3200 3300 3360 3388 3465 3500 3520 3584 3598 3600 3630 3696 3750 3840 3850 3855 3872 3960 4000 4032 4112 4125 4200 4224 4235 4356 4375 4400 4480 4500 4608 4620 4626 4800 4840 4928 4950 5000 5040 5082 5120 5140 5250 5280 5376 5397 5445 5500 5544 5600 5625 5632 5654 5760 5775 5808 6000 6050 6144 6160 6168 6300 6336 6400 6425 6600 6720 6776 6875 6930 7000 7040 7168 7196 7200 7260 7392 7500 7623 7680 7700 7710 7744 7875 7920 8000 8064 8224 8250 8400 8448 8470 8481 8712 8750 8800 8960 8995 9000 9075 9216 9240 9252 9600 9625 9680 9856 9900 10000 10080 10164 10240 10280 10500 10560 10752 10794 10890 11000 11088 11200 11250 11264 11308 11520 11550 11565 11616 12000 12100 12320 12336 12375 12600 12672 12705 12800 12850 13125 13200 13440 13552 13750 13860 14000 14080 14135 14336 14392 14400 14520 14784 15000 15125 15246 15360 15400 15420 15488 15750 15840 16000 16128 16191 16448 16500 16800 16896 16940 16962 17325 17424 17500 17600 17920 17990 18000 18150 18432 18480 18504 19200 19250 19275 19360 19531 19712 19789 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39754178640000 40476981888000 40814290070400 42404457216000 42514885490000 43535242741760 43729596504000 44524680076800 44974424320000 46379875080000 46644902937600 47643140160000 47829246176250 48588440560000 48977148084480 49471866752000 50596227360000 51017862588000 53005571520000 54419053427200 54661995630000 55655850096000 55973883525120 57824259840000 58306128672000 59366240102400 61221435105600 61839833440000 63524186880000 63606685824000 63772328235000 65302864112640 67461636480000 68023816784000 69569812620000 69967354406400 70674095360000 72882660840000 74207800128000 76526793882000 77741504896000 78363436935168 79508357280000 80953963776000 81628580140800 85029770980000 87459193008000 89049360153600 92759750160000 93289805875200 95286280320000 95658492352500 97176881120000 97954296168960 98943733504000 101192454720000 102035725176000 106011143040000 108838106854400 109323991260000 111311700192000 116612257344000 122442870211200 123679666880000 127213371648000 127544656470000 130605728225280 134923272960000 136047633568000 139139625240000 139934708812800 145765321680000 148415600256000 153053587764000 155483009792000 159016714560000 163257160281600 170059541960000 174918386016000 178098720307200 185519500320000 190572560640000 191316984705000 194353762240000 195908592337920 202384909440000 204071450352000 212022286080000 217676213708800 218647982520000 222623400384000 233224514688000 244885740422400 247359333760000 255089312940000 272095267136000 278279250480000 279869417625600 291530643360000 296831200512000 306107175528000 318033429120000 326514320563200 340119083920000 349836772032000 371039000640000 382633969410000 388707524480000 391817184675840 404769818880000 408142900704000 437295965040000 445246800768000 466449029376000 489771480844800 494718667520000 510178625880000 544190534272000 556558500960000 583061286720000 612214351056000 636066858240000 653028641126400 680238167840000 699673544064000 742078001280000 765267938820000 777415048960000 816285801408000 874591930080000 890493601536000 979542961689600 1020357251760000 1088381068544000 1113117001920000 1166122573440000 1224428702112000 1360476335680000 1399347088128000 1484156002560000 1530535877640000 1632571602816000 1749183860160000 1959085923379200 2040714503520000 2226234003840000 2332245146880000 2448857404224000 2720952671360000 3061071755280000 3265143205632000 3498367720320000 4081429007040000 4452468007680000 4897714808448000 5441905342720000 6122143510560000 6996735440640000 8162858014080000 9795429616896000 12244287021120000 16325716028160000 24488574042240000 48977148084480000
- Sum of all divisors σ(n): 222923750879269440
- Sum of proper divisors (its aliquot sum) s(n): 173946602794789440
- 48977148084480000 is an abundant number, because the sum of its proper divisors (173946602794789440) is greater than itself. Its abundance is 124969454710309440
Bases of 48977148084480000
- Binary: 101011100000000001110100111010011010111111101000000000002
- Hexadecimal: 0xAE0074E9AFE800
- Base-36: DE8Y77T0CG0
Squares and roots of 48977148084480000
- 48977148084480000 squared (489771480844800002) is 2398761034489082933216870400000000
- 48977148084480000 cubed (489771480844800003) is 117484474405452251398074503875780411392000000000000
-
The
square root of 48977148084480000 is 221307812.9765869789 -
The
cube root of 48977148084480000 is 365873.6763439201
Scales and comparisons
How big is 48977148084480000?- 48,977,148,084,480,000 seconds is equal to 1,557,321,812 years, 42 weeks, 4 days, 16 hours.
-
To count from 1 to 48,977,148,084,480,000 would take you about four billion, six hundred seventy-one million, nine hundred sixty-five thousand, four hundred thirty-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 48977148084480000 cubic inches would be around 30489.5 feet tall.
Recreational maths with 48977148084480000
- 48977148084480000 backwards is 00008448084177984
- 48977148084480000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48977148084480000's digits is 72
- More coming soon!
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"Number 48977148084480000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 48977148084480000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/48977148084480000/
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The information we have on file for 48977148084480000 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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