72475479648000
72,475,479,648,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 72475479648000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3600 divisors.
72475479648000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, six hundred divisors.
Prime factorization of 72475479648000:
28 × 34 × 53 × 11 × 134 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 13 × 13 × 13 × 13 × 89)See below for interesting mathematical facts about the number 72475479648000 from the Numbermatics database.
Names of 72475479648000
- Cardinal: 72475479648000 can be written as Seventy-two trillion, four hundred seventy-five billion, four hundred seventy-nine million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 7.2475479648 × 1013
Factors of 72475479648000
Divisors of 72475479648000
- Number of divisors d(n): 3600
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 39 40 44 45 48 50 52 54 55 60 64 65 66 72 75 78 80 81 88 89 90 96 99 100 104 108 110 117 120 125 128 130 132 135 143 144 150 156 160 162 165 169 176 178 180 192 195 198 200 208 216 220 225 234 240 250 256 260 264 267 270 275 286 288 297 300 312 320 324 325 330 338 351 352 356 360 375 384 390 396 400 405 416 429 432 440 445 450 468 480 495 500 507 520 528 534 540 550 572 576 585 594 600 624 640 648 650 660 675 676 702 704 712 715 720 750 768 780 792 800 801 810 825 832 845 858 864 880 890 891 900 936 960 975 979 990 1000 1014 1040 1053 1056 1068 1080 1100 1125 1144 1152 1157 1170 1188 1200 1248 1280 1287 1296 1300 1320 1335 1350 1352 1375 1404 1408 1424 1430 1440 1485 1500 1521 1560 1584 1600 1602 1620 1625 1650 1664 1690 1716 1728 1755 1760 1780 1782 1800 1859 1872 1920 1950 1958 1980 2000 2025 2028 2080 2106 2112 2136 2145 2160 2197 2200 2225 2250 2288 2304 2314 2340 2376 2400 2403 2475 2496 2535 2574 2592 2600 2640 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185834563200 188738228250 193267945728 201320776800 203582808000 205896249000 206482848000 214424496000 219622665600 223001475840 223689752000 226485873900 232293204000 241584932160 244025184000 251650971000 253410768000 263547198720 268427702400 271443744000 274528332000 278751844800 283107342375 289901918592 301981165200 309724272000 322113242880 329433998400 335534628000 348439806000 362377398240 366037776000 371669126400 377476456500 402641553600 407165616000 411792498000 428848992000 439245331200 447379504000 452971747800 464586408000 483169864320 503301942000 506821536000 536855404800 549056664000 557503689600 566214684750 579803837184 603962330400 619448544000 658867996800 671069256000 696879612000 724754796480 732075552000 754952913000 805283107200 814331232000 823584996000 894759008000 905943495600 929172816000 966339728640 1006603884000 1098113328000 1115007379200 1132429369500 1207924660800 1317735993600 1342138512000 1393759224000 1449509592960 1509905826000 1610566214400 1647169992000 1811886991200 1858345632000 2013207768000 2196226656000 2264858739000 2415849321600 2684277024000 2787518448000 2899019185920 3019811652000 3294339984000 3623773982400 4026415536000 4529717478000 4831698643200 5575036896000 6039623304000 6588679968000 7247547964800 8052831072000 9059434956000 12079246608000 14495095929600 18118869912000 24158493216000 36237739824000 72475479648000
- Sum of all divisors σ(n): 322321273354080
- Sum of proper divisors (its aliquot sum) s(n): 249845793706080
- 72475479648000 is an abundant number, because the sum of its proper divisors (249845793706080) is greater than itself. Its abundance is 177370314058080
Bases of 72475479648000
- Binary: 100000111101010100000110011100000100111000000002
- Hexadecimal: 0x41EA83382700
- Base-36: POURXBK00
Squares and roots of 72475479648000
- 72475479648000 squared (724754796480002) is 5252695150207662203904000000
- 72475479648000 cubed (724754796480003) is 380691600456023725032703178145792000000000
-
The
square root of 72475479648000 is 8513253.1765477291 -
The
cube root of 72475479648000 is 41693.0531567419
Scales and comparisons
How big is 72475479648000?- 72,475,479,648,000 seconds is equal to 2,304,496 years, 3 weeks, 5 days.
-
To count from 1 to 72,475,479,648,000 would take you about five million, seven hundred sixty-one thousand, two hundred forty 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 72475479648000 cubic inches would be around 3474.4 feet tall.
Recreational maths with 72475479648000
- 72475479648000 backwards is 00084697457427
- The number of decimal digits it has is: 14
- The sum of 72475479648000's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 72475479648000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 72475479648000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/72475479648000/
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The information we have on file for 72475479648000 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 72475479648000, math, Factors of 72475479648000, curriculum, school, college, exams, university, Prime factorization of 72475479648000, STEM, science, technology, engineering, physics, economics, calculator, seventy-two trillion, four hundred seventy-five billion, four hundred seventy-nine million, six hundred forty-eight thousand.