328464008140060800
328,464,008,140,060,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 328464008140060800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2520 divisors.
328464008140060800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 328464008140060800:
27 × 32 × 52 × 74 × 416
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 41 × 41 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 328464008140060800 from the Numbermatics database.
Names of 328464008140060800
- Cardinal: 328464008140060800 can be written as Three hundred twenty-eight quadrillion, four hundred sixty-four trillion, eight billion, one hundred forty million, sixty thousand, eight hundred.
Scientific notation
- Scientific notation: 3.284640081400608 × 1017
Factors of 328464008140060800
Divisors of 328464008140060800
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 41 42 45 48 49 50 56 60 63 64 70 72 75 80 82 84 90 96 98 100 105 112 120 123 126 128 140 144 147 150 160 164 168 175 180 192 196 200 205 210 224 225 240 245 246 252 280 287 288 294 300 315 320 328 336 343 350 360 369 384 392 400 410 420 441 448 450 480 490 492 504 525 560 574 576 588 600 615 630 640 656 672 686 700 720 735 738 784 800 820 840 861 882 896 900 960 980 984 1008 1025 1029 1050 1120 1148 1152 1176 1200 1225 1230 1260 1312 1344 1372 1400 1435 1440 1470 1476 1568 1575 1600 1640 1680 1681 1715 1722 1764 1800 1845 1920 1960 1968 2009 2016 2050 2058 2100 2205 2240 2296 2352 2400 2401 2450 2460 2520 2583 2624 2688 2744 2800 2870 2880 2940 2952 3075 3087 3136 3150 3200 3280 3360 3362 3430 3444 3528 3600 3675 3690 3920 3936 4018 4032 4100 4116 4200 4305 4410 4480 4592 4704 4800 4802 4900 4920 5040 5043 5145 5166 5248 5488 5600 5740 5760 5880 5904 6027 6150 6174 6272 6300 6560 6720 6724 6860 6888 7056 7175 7200 7203 7350 7380 7840 7872 8036 8064 8200 8232 8400 8405 8575 8610 8820 9184 9225 9408 9600 9604 9800 9840 10045 10080 10086 10290 10332 10976 11025 11200 11480 11760 11767 11808 12005 12054 12300 12348 12600 12915 13120 13440 13448 13720 13776 14063 14112 14350 14400 14406 14700 14760 15129 15435 15680 15744 16072 16400 16464 16800 16810 17150 17220 17640 18081 18368 18450 18816 19208 19600 19680 20090 20160 20172 20580 20664 21525 21609 21952 22050 22400 22960 23520 23534 23616 24010 24108 24600 24696 25200 25215 25725 25830 26240 26896 27440 27552 28126 28224 28700 28800 28812 29400 29520 30135 30258 30870 31360 32144 32800 32928 33600 33620 34300 34440 35280 35301 36015 36162 36736 36900 38416 39200 39360 40180 40320 40344 41160 41328 42025 42189 43050 43218 43904 44100 45920 47040 47068 47232 48020 48216 49200 49392 50225 50400 50430 51450 51660 53792 54880 55104 56252 56448 57400 57624 58800 58835 59040 60025 60270 60516 61740 64288 64575 65600 65856 67200 67240 68600 68880 68921 70315 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40732143866575 40874067712800 41725610790150 41895919405620 44507318176160 44688980699328 45601000713600 45620001130564 45778955838336 46551021561800 47686412331600 47881050749280 48849495559200 48878572639890 50070732948180 52137144149216 52369899257025 53201167499200 53408781811392 54498756950400 55634147720200 55861225874160 57025001413205 57223694797920 58654287167868 59851313436600 62588416185225 63581883108800 63841400999040 65132660745600 65171430186520 66760977264240 67033471048992 68401501070400 68430001695846 69826532342700 71529618497400 73317858959835 74481634498880 76298259730560 78205716223824 79801751248800 80113172717088 81464287733150 81748135425600 83451221580300 83791838811240 89014636352320 89377961398656 91240002261128 93102043123600 95372824663200 95762101498560 97698991118400 97757145279780 100141465896360 102645002543769 104274288298432 104739798514050 106402334998400 106817563622784 111268295440400 111722451748320 114050002826410 114447389595840 117308574335736 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418959194056200 445073181761600 446889806993280 456200011305640 469234297342944 478810507492800 488785726398900 500707329481800 513225012718845 521371441492160 534087818113920 547440013566768 558612258741600 570250014132050 572236947979200 586542871678680 625645729790592 651714301865200 667609772642400 670334710489920 684300016958460 729920018089024 733178589598350 744816344988800 782057162238240 801131727170880 821160020350152 837918388112400 855375021198075 890146363523200 912400022611280 938468594685888 957621014985600 977571452797800 1001414658963600 1026450025437690 1042742882984320 1094880027133536 1117224517483200 1140500028264100 1144473895958400 1173085743357360 1303428603730400 1335219545284800 1340669420979840 1368600033916920 1459840036178048 1466357179196700 1564114324476480 1602263454341760 1642320040700304 1675836776224800 1710750042396150 1824800045222560 1876937189371776 1955142905595600 2002829317927200 2052900050875380 2189760054267072 2234449034966400 2281000056528200 2346171486714720 2566125063594225 2606857207460800 2670439090569600 2737200067833840 2932714358393400 3128228648952960 3284640081400608 3351673552449600 3421500084792300 3649600090445120 3910285811191200 4005658635854400 4105800101750760 4379520108534144 4562000113056400 4692342973429440 5132250127188450 5213714414921600 5474400135667680 5865428716786800 6569280162801216 6703347104899200 6843000169584600 7299200180890240 7820571622382400 8011317271708800 8211600203501520 9124000226112800 9384685946858880 10264500254376900 10948800271335360 11730857433573600 13138560325602432 13686000339169200 15641143244764800 16423200407003040 18248000452225600 20529000508753800 21897600542670720 23461714867147200 27372000678338400 32846400814006080 36496000904451200 41058001017507600 46923429734294400 54744001356676800 65692801628012160 82116002035015200 109488002713353600 164232004070030400 328464008140060800
- Sum of all divisors σ(n): 1401474954943355955
- Sum of proper divisors (its aliquot sum) s(n): 1073010946803295155
- 328464008140060800 is an abundant number, because the sum of its proper divisors (1073010946803295155) is greater than itself. Its abundance is 744546938663234355
Bases of 328464008140060800
- Binary: 100100011101111000001000110011011101011000001111000100000002
- Hexadecimal: 0x48EF0466EB07880
- Base-36: 2HU6RU7X7VK0
Squares and roots of 328464008140060800
- 328464008140060800 squared (3284640081400608002) is 107888604643433927482989827696640000
- 328464008140060800 cubed (3284640081400608003) is 35437523513820682981487261258877324192173555712000000
-
The
square root of 328464008140060800 is 573117796.0420185731 -
The
cube root of 328464008140060800 is 689968.4982748089 - Being both a perfect square and a perfect cube, 328464008140060800 is also a
perfect sixth number .
Scales and comparisons
How big is 328464008140060800?- 328,464,008,140,060,800 seconds is equal to 10,444,139,452 years, 50 weeks, 2 days, 8 hours.
-
To count from 1 to 328,464,008,140,060,800 would take you about thirty-one billion, three hundred thirty-two million, four hundred eighteen thousand, three hundred fifty-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 328464008140060800 cubic inches would be around 57497.4 feet tall.
Recreational maths with 328464008140060800
- 328464008140060800 backwards is 008060041800464823
- The number of decimal digits it has is: 18
- The sum of 328464008140060800's digits is 54
- More coming soon!
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"Number 328464008140060800 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 328464008140060800 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/328464008140060800/
Chicago style:
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The information we have on file for 328464008140060800 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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