34128816721920000
34,128,816,721,920,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 34128816721920000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5760 divisors.
34128816721920000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.
Prime factorization of 34128816721920000:
215 × 35 × 54 × 19 × 612 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 19 × 61 × 61 × 97)See below for interesting mathematical facts about the number 34128816721920000 from the Numbermatics database.
Names of 34128816721920000
- Cardinal: 34128816721920000 can be written as Thirty-four quadrillion, one hundred twenty-eight trillion, eight hundred sixteen billion, seven hundred twenty-one million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 3.412881672192 × 1016
Factors of 34128816721920000
Divisors of 34128816721920000
- Number of divisors d(n): 5760
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 61 64 72 75 76 80 81 90 95 96 97 100 108 114 120 122 125 128 135 144 150 152 160 162 171 180 183 190 192 194 200 216 225 228 240 243 244 250 256 270 285 288 291 300 304 305 320 324 342 360 366 375 380 384 388 400 405 432 450 456 475 480 485 486 488 500 512 513 540 549 570 576 582 600 608 610 625 640 648 675 684 720 732 750 760 768 776 800 810 855 864 873 900 912 915 950 960 970 972 976 1000 1024 1026 1080 1098 1125 1140 1152 1159 1164 1200 1215 1216 1220 1250 1280 1296 1350 1368 1425 1440 1455 1464 1500 1520 1525 1536 1539 1552 1600 1620 1647 1710 1728 1746 1800 1824 1830 1843 1875 1900 1920 1940 1944 1952 2000 2025 2048 2052 2160 2196 2250 2280 2304 2318 2328 2375 2400 2425 2430 2432 2440 2500 2560 2565 2592 2619 2700 2736 2745 2850 2880 2910 2928 3000 3040 3050 3072 3078 3104 3200 3240 3294 3375 3420 3456 3477 3492 3600 3648 3660 3686 3721 3750 3800 3840 3880 3888 3904 4000 4050 4096 4104 4275 4320 4365 4392 4500 4560 4575 4608 4617 4636 4656 4750 4800 4850 4860 4864 4880 4941 5000 5120 5130 5184 5238 5400 5472 5490 5529 5625 5700 5760 5795 5820 5856 5917 6000 6075 6080 6100 6144 6156 6208 6400 6480 6588 6750 6840 6912 6954 6984 7125 7200 7275 7296 7320 7372 7442 7500 7600 7625 7680 7695 7760 7776 7808 7857 8000 8100 8192 8208 8235 8550 8640 8730 8784 9000 9120 9150 9215 9216 9234 9272 9312 9500 9600 9700 9720 9728 9760 9882 10000 10125 10240 10260 10368 10431 10476 10800 10944 10980 11058 11163 11250 11400 11520 11590 11640 11712 11834 11875 12000 12125 12150 12160 12200 12288 12312 12416 12800 12825 12960 13095 13176 13500 13680 13725 13824 13908 13968 14250 14400 14550 14592 14640 14744 14823 14884 15000 15200 15250 15360 15390 15520 15552 15616 15714 16000 16200 16384 16416 16470 16587 16875 17100 17280 17385 17460 17568 17751 18000 18240 18300 18430 18432 18468 18544 18605 18624 19000 19200 19400 19440 19456 19520 19764 20000 20250 20480 20520 20736 20862 20952 21375 21600 21825 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1066525522560000 1137627224064000 1264030248960000 1365152668876800 1422034030080000 1706440836096000 1796253511680000 1896045373440000 2133051045120000 2275254448128000 2844068060160000 3412881672192000 3792090746880000 4266102090240000 5688136120320000 6825763344384000 8532204180480000 11376272240640000 17064408360960000 34128816721920000
- Sum of all divisors σ(n): 138139580858479200
- Sum of proper divisors (its aliquot sum) s(n): 104010764136559200
- 34128816721920000 is an abundant number, because the sum of its proper divisors (104010764136559200) is greater than itself. Its abundance is 69881947414639200
Bases of 34128816721920000
- Binary: 11110010011111111111010010111010101000010000000000000002
- Hexadecimal: 0x793FFA5D508000
- Base-36: 9C1NLYGAO00
Squares and roots of 34128816721920000
- 34128816721920000 squared (341288167219200002) is 1164776130838406214608486400000000
- 34128816721920000 cubed (341288167219200003) is 39752431091451075806491758834260901888000000000000
-
The
square root of 34128816721920000 is 184739862.2980974293 -
The
cube root of 34128816721920000 is 324369.7980166667
Scales and comparisons
How big is 34128816721920000?- 34,128,816,721,920,000 seconds is equal to 1,085,190,804 years, 20 weeks, 4 days.
-
To count from 1 to 34,128,816,721,920,000 would take you about three billion, two hundred fifty-five million, five hundred seventy-two thousand, four hundred thirteen 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 34128816721920000 cubic inches would be around 27030.8 feet tall.
Recreational maths with 34128816721920000
- 34128816721920000 backwards is 00002912761882143
- 34128816721920000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 34128816721920000's digits is 54
- More coming soon!
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"Number 34128816721920000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 34128816721920000 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/34128816721920000/
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The information we have on file for 34128816721920000 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 34128816721920000, math, Factors of 34128816721920000, curriculum, school, college, exams, university, Prime factorization of 34128816721920000, STEM, science, technology, engineering, physics, economics, calculator, thirty-four quadrillion, one hundred twenty-eight trillion, eight hundred sixteen billion, seven hundred twenty-one million, nine hundred twenty thousand.