34768020672000
34,768,020,672,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 34768020672000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3840 divisors.
34768020672000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 34768020672000:
29 × 32 × 53 × 7 × 11 × 61 × 71 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 61 × 71 × 181)See below for interesting mathematical facts about the number 34768020672000 from the Numbermatics database.
Names of 34768020672000
- Cardinal: 34768020672000 can be written as Thirty-four trillion, seven hundred sixty-eight billion, twenty million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 3.4768020672 × 1013
Factors of 34768020672000
Divisors of 34768020672000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 50 55 56 60 61 63 64 66 70 71 72 75 77 80 84 88 90 96 99 100 105 110 112 120 122 125 126 128 132 140 142 144 150 154 160 165 168 175 176 180 181 183 192 198 200 210 213 220 224 225 231 240 244 250 252 256 264 275 280 284 288 300 305 308 315 320 330 336 350 352 355 360 362 366 375 384 385 396 400 420 426 427 440 448 450 462 480 488 495 497 500 504 512 525 528 543 549 550 560 568 576 600 610 616 630 639 640 660 671 672 693 700 704 710 720 724 732 750 768 770 781 792 800 825 840 852 854 875 880 896 900 905 915 924 960 976 990 994 1000 1008 1050 1056 1065 1086 1098 1100 1120 1125 1136 1152 1155 1200 1220 1232 1260 1267 1278 1280 1281 1320 1342 1344 1375 1386 1400 1408 1420 1440 1448 1464 1491 1500 1525 1536 1540 1562 1575 1584 1600 1629 1650 1680 1704 1708 1750 1760 1775 1792 1800 1810 1830 1848 1920 1925 1952 1980 1988 1991 2000 2013 2016 2100 2112 2130 2135 2172 2196 2200 2240 2250 2272 2304 2310 2343 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278144165376 284983776000 289733505600 310428756000 316072915200 331124006400 347680206720 351192128000 362166882000 386311340800 395091144000 413905008000 434600258400 451532736000 463573608960 482889176000 489690432000 496686009600 526788192000 543250323000 551873344000 569967552000 579467011200 620857512000 632145830400 695360413440 724333764000 772622681600 790182288000 827810016000 869200516800 965778352000 993372019200 1053576384000 1086500646000 1158934022400 1241715024000 1390720826880 1448667528000 1580364576000 1655620032000 1738401033600 1931556704000 2173001292000 2317868044800 2483430048000 2897335056000 3160729152000 3476802067200 3863113408000 4346002584000 4966860096000 5794670112000 6953604134400 8692005168000 11589340224000 17384010336000 34768020672000
- Sum of all divisors σ(n): 161811875377152
- Sum of proper divisors (its aliquot sum) s(n): 127043854705152
- 34768020672000 is an abundant number, because the sum of its proper divisors (127043854705152) is greater than itself. Its abundance is 92275834033152
Bases of 34768020672000
- Binary: 1111110011111000011111000010110001110000000002
- Hexadecimal: 0x1F9F0F858E00
- Base-36: CBO7HTOG0
Squares and roots of 34768020672000
- 34768020672000 squared (347680206720002) is 1208815261448619331584000000
- 34768020672000 cubed (347680206720003) is 42028113998674681586371334504448000000000
-
The
square root of 34768020672000 is 5896441.3566150221 -
The
cube root of 34768020672000 is 32638.2342975057
Scales and comparisons
How big is 34768020672000?- 34,768,020,672,000 seconds is equal to 1,105,515 years, 26 weeks, 4 days, 16 hours.
-
To count from 1 to 34,768,020,672,000 would take you about two million, seven hundred sixty-three thousand, seven hundred eighty-eight 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 34768020672000 cubic inches would be around 2719.9 feet tall.
Recreational maths with 34768020672000
- 34768020672000 backwards is 00027602086743
- 34768020672000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34768020672000's digits is 45
- More coming soon!
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MLA style:
"Number 34768020672000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 34768020672000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/34768020672000/
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The information we have on file for 34768020672000 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 34768020672000, math, Factors of 34768020672000, curriculum, school, college, exams, university, Prime factorization of 34768020672000, STEM, science, technology, engineering, physics, economics, calculator, thirty-four trillion, seven hundred sixty-eight billion, twenty million, six hundred seventy-two thousand.