642413742016000000
642,413,742,016,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 642413742016000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2184 divisors.
642413742016000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred eighty-four divisors.
Prime factorization of 642413742016000000:
212 × 56 × 17 × 31 × 372 × 13913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 5 × 17 × 31 × 37 × 37 × 13913)See below for interesting mathematical facts about the number 642413742016000000 from the Numbermatics database.
Names of 642413742016000000
- Cardinal: 642413742016000000 can be written as Six hundred forty-two quadrillion, four hundred thirteen trillion, seven hundred forty-two billion, sixteen million.
Scientific notation
- Scientific notation: 6.42413742016 × 1017
Factors of 642413742016000000
Divisors of 642413742016000000
- Number of divisors d(n): 2184
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 31 32 34 37 40 50 62 64 68 74 80 85 100 124 125 128 136 148 155 160 170 185 200 248 250 256 272 296 310 320 340 370 400 425 496 500 512 527 544 592 620 625 629 640 680 740 775 800 850 925 992 1000 1024 1054 1088 1147 1184 1240 1250 1258 1280 1360 1369 1480 1550 1600 1700 1850 1984 2000 2048 2108 2125 2176 2294 2368 2480 2500 2516 2560 2635 2720 2738 2960 3100 3125 3145 3200 3400 3700 3875 3968 4000 4096 4216 4250 4352 4588 4625 4736 4960 5000 5032 5120 5270 5440 5476 5735 5920 6200 6250 6290 6400 6800 6845 7400 7750 7936 8000 8432 8500 8704 9176 9250 9472 9920 10000 10064 10240 10540 10625 10880 10952 11470 11840 12400 12500 12580 12800 13175 13600 13690 13913 14800 15500 15625 15725 15872 16000 16864 17000 17408 18352 18500 18944 19375 19499 19840 20000 20128 20480 21080 21250 21760 21904 22940 23125 23273 23680 24800 25000 25160 25600 26350 27200 27380 27826 28675 29600 31000 31250 31450 31744 32000 33728 34000 34225 34816 36704 37000 37888 38750 38998 39680 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147613451750000 151156174592000 152375176000000 156839292484375 160603435504000 161898624500000 165784191488000 173625335680000 188945218240000 200754294380000 204265100800000 205572397445120 207230239360000 217031669600000 234628832000000 236181522800000 243800281600000 250942867975000 255331376000000 256965496806400 259037799200000 271289587000000 280040864000000 295226903500000 302312349184000 304750352000000 313678584968750 321206871008000 323797249000000 347250671360000 377890436480000 401508588760000 414460478720000 434063339200000 469257664000000 472363045600000 501885735950000 510662752000000 513930993612800 518075598400000 542579174000000 560081728000000 590453807000000 609500704000000 627357169937500 642413742016000 647594498000000 694501342720000 755780872960000 803017177520000 828920957440000 868126678400000 944726091200000 1003771471900000 1021325504000000 1027861987225600 1036151196800000 1085158348000000 1180907614000000 1219001408000000 1254714339875000 1284827484032000 1295188996000000 1511561745920000 1606034355040000 1736253356800000 1889452182400000 2007542943800000 2072302393600000 2170316696000000 2361815228000000 2509428679750000 2569654968064000 2590377992000000 3212068710080000 3472506713600000 3778904364800000 4015085887600000 4144604787200000 4340633392000000 4723630456000000 5018857359500000 5139309936128000 5180755984000000 6424137420160000 7557808729600000 8030171775200000 8681266784000000 9447260912000000 10037714719000000 10361511968000000 12848274840320000 16060343550400000 17362533568000000 18894521824000000 20075429438000000 20723023936000000 25696549680640000 32120687100800000 37789043648000000 40150858876000000 64241374201600000 80301717752000000 128482748403200000 160603435504000000 321206871008000000 642413742016000000
- Sum of all divisors σ(n): 1803972803305051008
- Sum of proper divisors (its aliquot sum) s(n): 1161559061289051008
- 642413742016000000 is an abundant number, because the sum of its proper divisors (1161559061289051008) is greater than itself. Its abundance is 519145319273051008
Bases of 642413742016000000
- Binary: 1000111010100100111111100101000010111011000101110000000000002
- Hexadecimal: 0x8EA4FE50BB17000
- Base-36: 4VPGNYW51AF4
Squares and roots of 642413742016000000
- 642413742016000000 squared (6424137420160000002) is 412695415930999803744256000000000000
- 642413742016000000 cubed (6424137420160000003) is 265121206461083124379509104825860096000000000000000000
-
The
square root of 642413742016000000 is 801507169.0359356979 -
The
cube root of 642413742016000000 is 862855.9021927313
Scales and comparisons
How big is 642413742016000000?- 642,413,742,016,000,000 seconds is equal to 20,426,769,879 years, 48 weeks, 4 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 642,413,742,016,000,000 would take you about sixty-one billion, two hundred eighty million, three hundred nine thousand, six hundred thirty-nine 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 642413742016000000 cubic inches would be around 71904.7 feet tall.
Recreational maths with 642413742016000000
- 642413742016000000 backwards is 000000610247314246
- 642413742016000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 642413742016000000's digits is 40
- More coming soon!
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The information we have on file for 642413742016000000 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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