4048133646508224
4,048,133,646,508,224 is an even composite number composed of six prime numbers multiplied together.
4048133646508224 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 4048133646508224:
26 × 3 × 7 × 13 × 19 × 12194348993
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 19 × 12194348993)See below for interesting mathematical facts about the number 4048133646508224 from the Numbermatics database.
Names of 4048133646508224
- Cardinal: 4048133646508224 can be written as Four quadrillion, forty-eight trillion, one hundred thirty-three billion, six hundred forty-six million, five hundred eight thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 4.048133646508224 × 1015
Factors of 4048133646508224
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 12194349037
Divisors of 4048133646508224
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 52 56 57 64 76 78 84 91 96 104 112 114 133 152 156 168 182 192 208 224 228 247 266 273 304 312 336 364 399 416 448 456 494 532 546 608 624 672 728 741 798 832 912 988 1064 1092 1216 1248 1344 1456 1482 1596 1729 1824 1976 2128 2184 2496 2912 2964 3192 3458 3648 3952 4256 4368 5187 5824 5928 6384 6916 7904 8512 8736 10374 11856 12768 13832 15808 17472 20748 23712 25536 27664 41496 47424 55328 82992 110656 165984 331968 12194348993 24388697986 36583046979 48777395972 73166093958 85360442951 97554791944 146332187916 158526536909 170720885902 195109583888 231692630867 256081328853 292664375832 317053073818 341441771804 390219167776 463385261734 475579610727 512162657706 585328751664 634106147636 682883543608 695077892601 780438335552 926770523468 951159221454 1024325315412 1109685758363 1170657503328 1268212295272 1365767087216 1390155785202 1621848416069 1853541046936 1902318442908 2048650630824 2219371516726 2341315006656 2536424590544 2731534174432 2780311570404 3012004201271 3243696832138 3329057275089 3707082093872 3804636885816 4097301261648 4438743033452 4865545248207 5072849181088 5463068348864 5560623140808 6024008402542 6487393664276 6658114550178 7414164187744 7609273771632 8194602523296 8877486066904 9036012603813 9731090496414 10145698362176 11121246281616 12048016805084 12974787328552 13316229100356 14828328375488 15218547543264 16389205046592 17754972133808 18072025207626 19462180992828 21084029408897 22242492563232 24096033610168 25949574657104 26632458200712 30437095086528 35509944267616 36144050415252 38924361985656 42168058817794 44484985126464 48192067220336 51899149314208 53264916401424 63252088226691 71019888535232 72288100830504 77848723971312 84336117635588 96384134440672 103798298628416 106529832802848 126504176453382 144576201661008 155697447942624 168672235271176 192768268881344 213059665605696 253008352906764 289152403322016 311394895885248 337344470542352 506016705813528 578304806644032 674688941084704 1012033411627056 1349377882169408 2024066823254112 4048133646508224
- Sum of all divisors σ(n): 13876193607252480
- Sum of proper divisors (its aliquot sum) s(n): 9828059960744256
- 4048133646508224 is an abundant number, because the sum of its proper divisors (9828059960744256) is greater than itself. Its abundance is 5779926314236032
Bases of 4048133646508224
- Binary: 11100110000111000001100100000000000011100000110000002
- Hexadecimal: 0xE61C19000E0C0
- Base-36: 13UXYX9F16O
Squares and roots of 4048133646508224
- 4048133646508224 squared (40481336465082242) is 16387386019991970664467699634176
- 4048133646508224 cubed (40481336465082243) is 66338328725847987969301070868308189264575463424
-
The
square root of 4048133646508224 is 63624945.1591765539 -
The
cube root of 4048133646508224 is 159374.2964729221
Scales and comparisons
How big is 4048133646508224?- 4,048,133,646,508,224 seconds is equal to 128,718,128 years, 13 weeks, 3 days, 10 hours, 30 minutes, 24 seconds.
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To count from 1 to 4,048,133,646,508,224 would take you about three hundred eighty-six million, one hundred fifty-four thousand, three hundred eighty-four 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 4048133646508224 cubic inches would be around 13281.2 feet tall.
Recreational maths with 4048133646508224
- 4048133646508224 backwards is 4228056463318404
- The number of decimal digits it has is: 16
- The sum of 4048133646508224's digits is 60
- More coming soon!
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