48320083968
48,320,083,968 is an even composite number composed of six prime numbers multiplied together.
48320083968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 48320083968:
211 × 3 × 13 × 23 × 29 × 907
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 23 × 29 × 907)See below for interesting mathematical facts about the number 48320083968 from the Numbermatics database.
Names of 48320083968
- Cardinal: 48320083968 can be written as Forty-eight billion, three hundred twenty million, eighty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.8320083968 × 1010
Factors of 48320083968
Divisors of 48320083968
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 23 24 26 29 32 39 46 48 52 58 64 69 78 87 92 96 104 116 128 138 156 174 184 192 208 232 256 276 299 312 348 368 377 384 416 464 512 552 598 624 667 696 736 754 768 832 897 907 928 1024 1104 1131 1196 1248 1334 1392 1472 1508 1536 1664 1794 1814 1856 2001 2048 2208 2262 2392 2496 2668 2721 2784 2944 3016 3072 3328 3588 3628 3712 4002 4416 4524 4784 4992 5336 5442 5568 5888 6032 6144 6656 7176 7256 7424 8004 8671 8832 9048 9568 9984 10672 10884 11136 11776 11791 12064 13312 14352 14512 14848 16008 17342 17664 18096 19136 19968 20861 21344 21768 22272 23552 23582 24128 26013 26303 26624 28704 29024 29696 32016 34684 35328 35373 36192 38272 39936 41722 42688 43536 44544 47104 47164 48256 52026 52606 57408 58048 59392 62583 64032 69368 70656 70746 72384 76544 78909 79872 83444 85376 87072 89088 94328 96512 104052 105212 114816 116096 125166 128064 138736 141312 141492 144768 153088 157818 166888 170752 174144 178176 188656 193024 208104 210424 229632 232192 250332 256128 271193 277472 282984 289536 306176 315636 333776 341504 341939 348288 377312 386048 416208 420848 459264 464384 500664 512256 542386 554944 565968 579072 604969 612352 631272 667552 683008 683878 696576 754624 772096 813579 832416 841696 918528 928768 1001328 1024512 1025817 1084772 1109888 1131936 1158144 1209938 1262544 1335104 1366016 1367756 1393152 1509248 1627158 1664832 1683392 1814907 1837056 1857536 2002656 2049024 2051634 2169544 2219776 2263872 2316288 2419876 2525088 2670208 2735512 2786304 3018496 3254316 3329664 3366784 3629814 4005312 4098048 4103268 4339088 4439552 4527744 4839752 5050176 5340416 5471024 5572608 6036992 6508632 6659328 6733568 7259628 7864597 8010624 8206536 8678176 8879104 9055488 9679504 10100352 10680832 10942048 12073984 13017264 13318656 13467136 14519256 15729194 16021248 16413072 17356352 17758208 18110976 19359008 20200704 21361664 21884096 23593791 24147968 26034528 26637312 26934272 29038512 31458388 32042496 32826144 34712704 36221952 38718016 40401408 42723328 43768192 47187582 52069056 53274624 53868544 58077024 62916776 64084992 65652288 69425408 72443904 77436032 80802816 87536384 94375164 104138112 116154048 125833552 128169984 131304576 138850816 154872064 161605632 175072768 188750328 208276224 232308096 251667104 262609152 277701632 309744128 350145536 377500656 416552448 464616192 503334208 525218304 555403264 619488256 700291072 755001312 833104896 929232384 1006668416 1050436608 1238976512 1510002624 1666209792 1858464768 2013336832 2100873216 3020005248 3716929536 4026673664 6040010496 8053347328 12080020992 16106694656 24160041984 48320083968
- Sum of all divisors σ(n): 149920243200
- Sum of proper divisors (its aliquot sum) s(n): 101600159232
- 48320083968 is an abundant number, because the sum of its proper divisors (101600159232) is greater than itself. Its abundance is 53280075264
Bases of 48320083968
- Binary: 1011010000000001100111111000000000002
- Hexadecimal: 0xB4019F800
- Base-36: M74J3EO
Squares and roots of 48320083968
- 48320083968 squared (483200839682) is 2334830514674570625024
- 48320083968 cubed (483200839683) is 112819206520123908795505922015232
-
The
square root of 48320083968 is 219818.2976187379 -
The
cube root of 48320083968 is 3642.3015062925
Scales and comparisons
How big is 48320083968?- 48,320,083,968 seconds is equal to 1,536 years, 22 weeks, 2 days, 5 hours, 32 minutes, 48 seconds.
-
To count from 1 to 48,320,083,968 would take you about three thousand and seventy-two 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 48320083968 cubic inches would be around 303.5 feet tall.
Recreational maths with 48320083968
- 48320083968 backwards is 86938002384
- The number of decimal digits it has is: 11
- The sum of 48320083968's digits is 51
- More coming soon!
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