34127831040000
34,127,831,040,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 34127831040000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1360 divisors.
34127831040000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred sixty divisors.
Prime factorization of 34127831040000:
216 × 3 × 54 × 29 × 61 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 29 × 61 × 157)See below for interesting mathematical facts about the number 34127831040000 from the Numbermatics database.
Names of 34127831040000
- Cardinal: 34127831040000 can be written as Thirty-four trillion, one hundred twenty-seven billion, eight hundred thirty-one million, forty thousand.
Scientific notation
- Scientific notation: 3.412783104 × 1013
Factors of 34127831040000
Divisors of 34127831040000
- Number of divisors d(n): 1360
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 61 64 75 80 87 96 100 116 120 122 125 128 145 150 157 160 174 183 192 200 232 240 244 250 256 290 300 305 314 320 348 366 375 384 400 435 464 471 480 488 500 512 580 600 610 625 628 640 696 725 732 750 768 785 800 870 915 928 942 960 976 1000 1024 1160 1200 1220 1250 1256 1280 1392 1450 1464 1500 1525 1536 1570 1600 1740 1769 1830 1856 1875 1884 1920 1952 2000 2048 2175 2320 2355 2400 2440 2500 2512 2560 2784 2900 2928 3000 3050 3072 3140 3200 3480 3538 3625 3660 3712 3750 3768 3840 3904 3925 4000 4096 4350 4553 4575 4640 4710 4800 4880 5000 5024 5120 5307 5568 5800 5856 6000 6100 6144 6280 6400 6960 7076 7250 7320 7424 7500 7536 7625 7680 7808 7850 8000 8192 8700 8845 9106 9150 9280 9420 9577 9600 9760 10000 10048 10240 10614 10875 11136 11600 11712 11775 12000 12200 12288 12560 12800 13659 13920 14152 14500 14640 14848 15000 15072 15250 15360 15616 15700 16000 16384 17400 17690 18125 18212 18300 18560 18840 19154 19200 19520 19625 20000 20096 20480 21228 21750 22272 22765 22875 23200 23424 23550 24000 24400 24576 25120 25600 26535 27318 27840 28304 28731 29000 29280 29696 30000 30144 30500 30720 31232 31400 32000 32768 34800 35380 36250 36424 36600 37120 37680 38125 38308 38400 39040 39250 40000 40192 40960 42456 43500 44225 44544 45530 45750 46400 46848 47100 47885 48000 48800 49152 50240 51200 53070 54375 54636 55680 56608 57462 58000 58560 58875 59392 60000 60288 61000 61440 62464 62800 64000 65536 68295 69600 70760 72500 72848 73200 74240 75360 76250 76616 76800 78080 78500 80000 80384 81920 84912 87000 88450 89088 91060 91500 92800 93696 94200 95770 96000 97600 98125 98304 100480 102400 106140 108750 109272 111360 113216 113825 114375 114924 116000 117120 117750 118784 120000 120576 122000 122880 124928 125600 128000 132675 136590 139200 141520 143655 145000 145696 146400 148480 150720 152500 153232 153600 156160 157000 160000 160768 163840 169824 174000 176900 178176 182120 183000 185600 187392 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21329894400 21737472000 22218640000 22378905600 22751887360 23311360000 23536435200 24517120000 26662368000 27171840000 27302264832 27973632000 28439859200 29420544000 33327960000 34127831040 34967040000 35549824000 36229120000 36775680000 37298176000 39227392000 42659788800 43474944000 44437280000 45503774720 46622720000 47072870400 49034240000 53324736000 54343680000 54604529664 55947264000 56879718400 58841088000 66655920000 68255662080 69934080000 71099648000 72458240000 73551360000 78454784000 85319577600 88874560000 91007549440 93245440000 98068480000 106649472000 108687360000 111894528000 113759436800 117682176000 133311840000 136511324160 139868160000 142199296000 147102720000 170639155200 177749120000 186490880000 196136960000 213298944000 217374720000 227518873600 235364352000 266623680000 273022648320 279736320000 284398592000 294205440000 341278310400 355498240000 392273920000 426597888000 455037747200 533247360000 559472640000 568797184000 588410880000 682556620800 710996480000 853195776000 1066494720000 1137594368000 1176821760000 1365113241600 1421992960000 1706391552000 2132989440000 2275188736000 2843985920000 3412783104000 4265978880000 5687971840000 6825566208000 8531957760000 11375943680000 17063915520000 34127831040000
- Sum of all divisors σ(n): 120333810479520
- Sum of proper divisors (its aliquot sum) s(n): 86205979439520
- 34127831040000 is an abundant number, because the sum of its proper divisors (86205979439520) is greater than itself. Its abundance is 52078148399520
Bases of 34127831040000
- Binary: 1111100001010000000010011111100000000000000002
- Hexadecimal: 0x1F0A013F0000
- Base-36: C3I3XG2YO
Squares and roots of 34127831040000
- 34127831040000 squared (341278310400002) is 1164708851494787481600000000
- 34127831040000 cubed (341278310400003) is 39748986894606558612751908864000000000000
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The
square root of 34127831040000 is 5841903.0324030541 -
The
cube root of 34127831040000 is 32436.6675254593
Scales and comparisons
How big is 34127831040000?- 34,127,831,040,000 seconds is equal to 1,085,159 years, 24 weeks, 10 hours, 40 minutes.
-
To count from 1 to 34,127,831,040,000 would take you about two million, seven hundred twelve thousand, eight hundred ninety-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 34127831040000 cubic inches would be around 2703.1 feet tall.
Recreational maths with 34127831040000
- 34127831040000 backwards is 00004013872143
- The number of decimal digits it has is: 14
- The sum of 34127831040000's digits is 33
- More coming soon!
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The information we have on file for 34127831040000 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!
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