148048992013824
148,048,992,013,824 is an even composite number composed of five prime numbers multiplied together.
What does the number 148048992013824 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
148048992013824 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 148048992013824:
29 × 37 × 112 × 532 × 389
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 53 × 53 × 389)See below for interesting mathematical facts about the number 148048992013824 from the Numbermatics database.
Names of 148048992013824
- Cardinal: 148048992013824 can be written as One hundred forty-eight trillion, forty-eight billion, nine hundred ninety-two million, thirteen thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.48048992013824 × 1014
Factors of 148048992013824
Divisors of 148048992013824
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 53 54 64 66 72 81 88 96 99 106 108 121 128 132 144 159 162 176 192 198 212 216 242 243 256 264 288 297 318 324 352 363 384 389 396 424 432 477 484 486 512 528 576 583 594 636 648 704 726 729 768 778 792 848 864 891 954 968 972 1056 1089 1152 1166 1167 1188 1272 1296 1408 1431 1452 1458 1536 1556 1584 1696 1728 1749 1782 1908 1936 1944 2112 2178 2187 2304 2332 2334 2376 2544 2592 2673 2809 2816 2862 2904 2916 3112 3168 3267 3392 3456 3498 3501 3564 3816 3872 3888 4224 4279 4293 4356 4374 4608 4664 4668 4752 5088 5184 5247 5346 5618 5632 5724 5808 5832 6224 6336 6413 6534 6784 6912 6996 7002 7128 7632 7744 7776 8019 8427 8448 8558 8586 8712 8748 9328 9336 9504 9801 10176 10368 10494 10503 10692 11236 11448 11616 11664 12448 12672 12826 12837 12879 13068 13568 13824 13992 14004 14256 15264 15488 15552 15741 16038 16854 16896 17116 17172 17424 17496 18656 18672 19008 19239 19602 20352 20617 20736 20988 21006 21384 22472 22896 23232 23328 24057 24896 25281 25344 25652 25674 25758 26136 27136 27984 28008 28512 29403 30528 30899 30976 31104 31482 31509 32076 33708 34232 34344 34848 34992 37312 37344 38016 38478 38511 38637 39204 40704 41234 41472 41976 42012 42768 44944 45792 46464 46656 47069 47223 48114 49792 50562 50688 51304 51348 51516 52272 55968 56016 57024 57717 58806 61056 61798 61851 61952 62208 62964 63018 64152 67416 68464 68688 69696 69984 74624 74688 75843 76032 76956 77022 77274 78408 81408 82468 83952 84024 85536 88209 89888 91584 92697 92928 93312 94138 94446 94527 96228 99584 101124 102608 102696 103032 104544 111936 112032 114048 115434 115533 115911 117612 122112 123596 123702 124416 125928 126036 128304 134832 136928 137376 139392 139968 141207 141669 149248 149376 151686 152064 153912 154044 154548 156816 164936 167904 168048 171072 173151 176418 179776 183168 185394 185553 185856 186624 188276 188892 189054 192456 199168 202248 205216 205392 206064 209088 223872 224064 226787 227529 228096 230868 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1542177000144 1682374909248 1827765333504 2056236000192 2243166545664 2313265500216 2741648000256 2793377207808 3084354000288 3364749818496 4112472000384 4486333091328 4626531000432 5483296000512 6168708000576 6729499636992 8224944000768 9253062000864 12337416001152 13458999273984 16449888001536 18506124001728 24674832002304 37012248003456 49349664004608 74024496006912 148048992013824
- Sum of all divisors σ(n): 498295624226400
- Sum of proper divisors (its aliquot sum) s(n): 350246632212576
- 148048992013824 is an abundant number, because the sum of its proper divisors (350246632212576) is greater than itself. Its abundance is 202197640198752
Bases of 148048992013824
- Binary: 1000011010100110010101111001010000001110000000002
- Hexadecimal: 0x86A657940E00
- Base-36: 1GH8RNC000
Squares and roots of 148048992013824
- 148048992013824 squared (1480489920138242) is 21918504036309322531007102976
- 148048992013824 cubed (1480489920138243) is 3245012429026528000716430415105642383540224
-
The
square root of 148048992013824 is 12167538.4533530035 -
The
cube root of 148048992013824 is 52901.5607228449
Scales and comparisons
How big is 148048992013824?- 148,048,992,013,824 seconds is equal to 4,707,500 years, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 148,048,992,013,824 would take you about eleven million, seven hundred sixty-eight thousand, seven hundred fifty 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 148048992013824 cubic inches would be around 4408.5 feet tall.
Recreational maths with 148048992013824
- 148048992013824 backwards is 428310299840841
- The number of decimal digits it has is: 15
- The sum of 148048992013824's digits is 63
- More coming soon!
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The information we have on file for 148048992013824 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!
Keywords: Divisors of 148048992013824, math, Factors of 148048992013824, curriculum, school, college, exams, university, Prime factorization of 148048992013824, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-eight trillion, forty-eight billion, nine hundred ninety-two million, thirteen thousand, eight hundred twenty-four.