166142091801664000
166,142,091,801,664,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 166142091801664000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2560 divisors.
166142091801664000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 166142091801664000:
29 × 53 × 11 × 23 × 413 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 23 × 41 × 41 × 41 × 53 × 53 × 53)See below for interesting mathematical facts about the number 166142091801664000 from the Numbermatics database.
Names of 166142091801664000
- Cardinal: 166142091801664000 can be written as One hundred sixty-six quadrillion, one hundred forty-two trillion, ninety-one billion, eight hundred one million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.66142091801664 × 1017
Factors of 166142091801664000
Divisors of 166142091801664000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 25 32 40 41 44 46 50 53 55 64 80 82 88 92 100 106 110 115 125 128 160 164 176 184 200 205 212 220 230 250 253 256 265 275 320 328 352 368 400 410 424 440 451 460 500 506 512 530 550 575 583 640 656 704 736 800 820 848 880 902 920 943 1000 1012 1025 1060 1100 1150 1166 1219 1265 1280 1312 1325 1375 1408 1472 1600 1640 1681 1696 1760 1804 1840 1886 2000 2024 2050 2120 2173 2200 2255 2300 2332 2438 2530 2560 2624 2650 2750 2809 2816 2875 2915 2944 3200 3280 3362 3392 3520 3608 3680 3772 4000 4048 4100 4240 4346 4400 4510 4600 4664 4715 4876 5060 5125 5248 5300 5500 5618 5632 5750 5830 5888 6095 6325 6400 6560 6625 6724 6784 7040 7216 7360 7544 8000 8096 8200 8405 8480 8692 8800 9020 9200 9328 9430 9752 10120 10250 10373 10496 10600 10865 11000 11236 11275 11500 11660 11776 12190 12650 12800 13120 13250 13409 13448 13568 14045 14080 14432 14575 14720 15088 16000 16192 16400 16810 16960 17384 17600 18040 18400 18491 18656 18860 19504 20240 20500 20746 20992 21200 21730 22000 22472 22550 23000 23320 23575 23903 24380 25300 26240 26500 26818 26896 27136 28090 28160 28864 29150 29440 30176 30475 30899 31625 32000 32384 32800 33620 33920 34768 35200 36080 36800 36982 37312 37720 38663 39008 40480 41000 41492 42025 42400 43460 44000 44944 45100 46000 46640 47150 47806 48760 49979 50600 51865 52480 53000 53636 53792 54325 56180 56375 57728 58300 58880 60352 60950 61798 63250 64000 64607 64768 65600 67045 67240 67840 68921 69536 70225 70400 72160 72875 73600 73964 74624 75440 77326 78016 80960 82000 82984 84050 84800 86920 88000 89093 89888 90200 92000 92455 93280 94300 95612 97520 99958 101200 103730 104960 106000 107272 107584 108650 112360 112750 115169 115456 116600 117875 119515 120704 121900 123596 126500 129214 129536 131200 134090 134480 135680 137842 139072 140450 140800 144320 145750 147200 147928 148877 149248 150880 152375 154495 154652 156032 161920 164000 165968 168100 169600 173840 176000 178186 179776 180400 184000 184910 186560 188600 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3775956631856 3822873718400 3918445561360 3953410869760 4004195792000 4052246141504 4104300686800 4259179958000 4297185728000 4404615371200 4452779047000 4492512352000 4514730755480 4604825160800 4719945789820 4778592148000 4898056951700 4941763587200 5065307676880 5130375858500 5191940368802 5253504879104 5376940736000 5451750346240 5505769214000 5643413444350 5699557180160 5756031451000 5899932237275 5914634809600 6122571189625 6177204484000 6195170848000 6269512898176 6331634596100 6566881098880 6814687932800 6950679488000 7047384593920 7124446475200 7223569208768 7367720257280 7393293512000 7551913263712 7645747436800 7836891122720 7914543245125 8008391584000 8104492283008 8208601373600 8518359916000 8809230742400 8905558094000 8985024704000 9029461510960 9209650321600 9439891579640 9557184296000 9796113903400 9883527174400 10130615353760 10260751717000 10383880737604 11011538428000 11286826888700 11399114360320 11512062902000 11799864474550 11829269619200 12245142379250 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47199457898200 48980569517000 49417635872000 50653076768800 51919403688020 56434134443500 56995571801600 57788553670144 58999322372750 59146348096000 60415306109696 62695128981760 63316345961000 64899254610025 65668810988800 68146879328000 71244464752000 72235692087680 73677202572800 75519132637120 76457474368000 78368911227200 81044922830080 82086013736000 83071045900832 88092307424000 90294615109600 92096503216000 94398915796400 97961139034000 98835271744000 101306153537600 103838807376040 112868268887000 117998644745500 120830612219392 125390257963520 126632691922000 129798509220050 131337621977600 136293758656000 142488929504000 144471384175360 151038265274240 156737822454400 162089845660160 164172027472000 166142091801664 176184614848000 180589230219200 184193006432000 188797831592800 195922278068000 202612307075200 207677614752080 225736537774000 235997289491000 253265383844000 259597018440100 284977859008000 288942768350720 302076530548480 313475644908800 324496273050125 328344054944000 332284183603328 361178460438400 368386012864000 377595663185600 391844556136000 405224614150400 415355229504160 451473075548000 471994578982000 506530767688000 519194036880200 604153061096960 626951289817600 648992546100250 656688109888000 664568367206656 722356920876800 755191326371200 783689112272000 810449228300800 830710459008320 902946151096000 943989157964000 1013061535376000 1038388073760400 1297985092200500 1329136734413312 1444713841753600 1510382652742400 1567378224544000 1661420918016640 1805892302192000 1887978315928000 2026123070752000 2076776147520800 2595970184401000 3020765305484800 3134756449088000 3322841836033280 3611784604384000 3775956631856000 4052246141504000 4153552295041600 5191940368802000 6645683672066560 7223569208768000 7551913263712000 8307104590083200 10383880737604000 15103826527424000 16614209180166400 20767761475208000 33228418360332800 41535522950416000 83071045900832000 166142091801664000
- Sum of all divisors σ(n): 492683571973232640
- Sum of proper divisors (its aliquot sum) s(n): 326541480171568640
- 166142091801664000 is an abundant number, because the sum of its proper divisors (326541480171568640) is greater than itself. Its abundance is 160399388369904640
Bases of 166142091801664000
- Binary: 10010011100100000101011010001011000001010000011010000000002
- Hexadecimal: 0x24E415A2C141A00
- Base-36: 19FWGFAT0Q9S
Squares and roots of 166142091801664000
- 166142091801664000 squared (1661420918016640002) is 27603194668232548121513168896000000
- 166142091801664000 cubed (1661420918016640003) is 4586052502588694269680297421702334565842944000000000
-
The
square root of 166142091801664000 is 407605313.7554317999 -
The
cube root of 166142091801664000 is 549743.2319938379
Scales and comparisons
How big is 166142091801664000?- 166,142,091,801,664,000 seconds is equal to 5,282,804,608 years, 3 weeks, 1 day, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 166,142,091,801,664,000 would take you about fifteen billion, eight hundred forty-eight million, four hundred thirteen thousand, eight hundred twenty-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 166142091801664000 cubic inches would be around 45811.9 feet tall.
Recreational maths with 166142091801664000
- 166142091801664000 backwards is 000466108190241661
- 166142091801664000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 166142091801664000's digits is 55
- More coming soon!
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Cite this page
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"Number 166142091801664000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 166142091801664000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/166142091801664000/
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The information we have on file for 166142091801664000 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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