6448863313920000
6,448,863,313,920,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 6448863313920000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2400 divisors.
6448863313920000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 6448863313920000:
219 × 3 × 54 × 41 × 43 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 41 × 43 × 61 × 61)See below for interesting mathematical facts about the number 6448863313920000 from the Numbermatics database.
Names of 6448863313920000
- Cardinal: 6448863313920000 can be written as Six quadrillion, four hundred forty-eight trillion, eight hundred sixty-three billion, three hundred thirteen million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 6.44886331392 × 1015
Factors of 6448863313920000
Divisors of 6448863313920000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 43 48 50 60 61 64 75 80 82 86 96 100 120 122 123 125 128 129 150 160 164 172 183 192 200 205 215 240 244 246 250 256 258 300 305 320 328 344 366 375 384 400 410 430 480 488 492 500 512 516 600 610 615 625 640 645 656 688 732 750 768 800 820 860 915 960 976 984 1000 1024 1025 1032 1075 1200 1220 1230 1250 1280 1290 1312 1376 1464 1500 1525 1536 1600 1640 1720 1763 1830 1875 1920 1952 1968 2000 2048 2050 2064 2150 2400 2440 2460 2500 2501 2560 2580 2623 2624 2752 2928 3000 3050 3072 3075 3200 3225 3280 3440 3526 3660 3721 3750 3840 3904 3936 4000 4096 4100 4128 4300 4575 4800 4880 4920 5000 5002 5120 5125 5160 5246 5248 5289 5375 5504 5856 6000 6100 6144 6150 6400 6450 6560 6880 7052 7320 7442 7500 7503 7625 7680 7808 7869 7872 8000 8192 8200 8256 8600 8815 9150 9600 9760 9840 10000 10004 10240 10250 10320 10492 10496 10578 10750 11008 11163 11712 12000 12200 12288 12300 12505 12800 12900 13115 13120 13760 14104 14640 14884 15000 15006 15250 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3523969024000 3657891840000 3749339136000 3932233728000 4030539571200 4198478720000 4228762828800 4299242209280 4404961280000 4686673920000 4915292160000 4999118848000 5038174464000 5159090651136 5242978304000 5285953536000 5374052761600 5998942617600 6248898560000 6291573964800 6297718080000 6448863313920 6553722880000 6607441920000 6717565952000 7047938048000 7498678272000 7864467456000 8061079142400 8396957440000 8598484418560 8809922560000 9373347840000 9830584320000 9998237696000 10076348928000 10318181302272 10485956608000 10571907072000 10748105523200 12497797120000 12595436160000 12897726627840 13107445760000 13214883840000 13435131904000 14997356544000 15728934912000 16122158284800 16793914880000 17196968837120 17619845120000 18746695680000 19661168640000 20152697856000 21143814144000 21496211046400 24995594240000 25190872320000 25795453255680 26214891520000 26429767680000 26870263808000 29994713088000 31457869824000 32244316569600 33587829760000 35239690240000 37493391360000 39322337280000 40305395712000 42992422092800 49991188480000 50381744640000 51590906511360 52429783040000 52859535360000 53740527616000 64488633139200 67175659520000 74986782720000 78644674560000 80610791424000 85984844185600 100763489280000 105719070720000 107481055232000 128977266278400 134351319040000 149973565440000 157289349120000 161221582848000 201526978560000 214962110464000 257954532556800 268702638080000 322443165696000 403053957120000 429924220928000 537405276160000 644886331392000 806107914240000 1074810552320000 1289772662784000 1612215828480000 2149621104640000 3224431656960000 6448863313920000
- Sum of all divisors σ(n): 22900703953327200
- Sum of proper divisors (its aliquot sum) s(n): 16451840639407200
- 6448863313920000 is an abundant number, because the sum of its proper divisors (16451840639407200) is greater than itself. Its abundance is 10002977325487200
Bases of 6448863313920000
- Binary: 101101110100100110100111111110000100000000000000000002
- Hexadecimal: 0x16E934FF080000
- Base-36: 1RHXIWOE39C
Squares and roots of 6448863313920000
- 6448863313920000 squared (64488633139200002) is 41587838041623244465766400000000
- 6448863313920000 cubed (64488633139200003) is 268194283051870719201604606296588288000000000000
-
The
square root of 6448863313920000 is 80304815.0108074155 -
The
cube root of 6448863313920000 is 186134.8630144609
Scales and comparisons
How big is 6448863313920000?- 6,448,863,313,920,000 seconds is equal to 205,053,905 years, 38 weeks, 2 days, 21 hours, 20 minutes.
-
To count from 1 to 6,448,863,313,920,000 would take you about six hundred fifteen million, one hundred sixty-one thousand, seven hundred seventeen 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 6448863313920000 cubic inches would be around 15511.2 feet tall.
Recreational maths with 6448863313920000
- 6448863313920000 backwards is 0000293133688446
- The number of decimal digits it has is: 16
- The sum of 6448863313920000's digits is 57
- More coming soon!
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"Number 6448863313920000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 6448863313920000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/6448863313920000/
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The information we have on file for 6448863313920000 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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