166742139419680000
166,742,139,419,680,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 166742139419680000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4050 divisors.
166742139419680000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand and fifty divisors.
Prime factorization of 166742139419680000:
28 × 54 × 114 × 192 × 37 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 19 × 19 × 37 × 73 × 73)See below for interesting mathematical facts about the number 166742139419680000 from the Numbermatics database.
Names of 166742139419680000
- Cardinal: 166742139419680000 can be written as One hundred sixty-six quadrillion, seven hundred forty-two trillion, one hundred thirty-nine billion, four hundred nineteen million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.6674213941968 × 1017
Factors of 166742139419680000
Divisors of 166742139419680000
- Number of divisors d(n): 4050
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Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 32 37 38 40 44 50 55 64 73 74 76 80 88 95 100 110 121 125 128 146 148 152 160 176 185 190 200 209 220 242 250 256 275 292 296 304 320 352 361 365 370 380 400 407 418 440 475 484 500 550 584 592 605 608 625 640 703 704 722 730 740 760 800 803 814 836 880 925 950 968 1000 1045 1100 1168 1184 1210 1216 1250 1280 1331 1375 1387 1406 1408 1444 1460 1480 1520 1600 1606 1628 1672 1760 1805 1825 1850 1900 1936 2000 2035 2090 2200 2299 2336 2368 2375 2420 2432 2500 2662 2701 2750 2774 2812 2816 2888 2920 2960 3025 3040 3200 3212 3256 3344 3515 3520 3610 3650 3700 3800 3872 3971 4000 4015 4070 4180 4400 4477 4598 4625 4672 4736 4750 4840 4864 5000 5225 5324 5329 5402 5500 5548 5624 5776 5840 5920 6050 6080 6400 6424 6512 6655 6688 6875 6935 7030 7040 7220 7300 7400 7600 7733 7744 7942 8000 8030 8140 8360 8800 8833 8954 9025 9125 9196 9250 9344 9472 9500 9680 10000 10175 10450 10648 10658 10804 11000 11096 11248 11495 11552 11680 11840 11875 12100 12160 12848 13024 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303167526217600 333484278839360 344508552520000 351036082988800 378959407772000 398904639760000 409685846240000 416855348549200 438795103736000 450654430864000 456827779232000 461889582880000 473699259715000 521069185686500 548493879670000 563318038580000 571034724040000 606335052435200 651336482108125 666968557678720 689017105040000 757918815544000 797809279520000 833710697098400 877590207472000 901308861728000 947398519430000 1042138371373000 1096987759340000 1126636077160000 1142069448080000 1302672964216250 1333937115357440 1378034210080000 1515837631088000 1667421394196800 1755180414944000 1894797038860000 2084276742746000 2193975518680000 2253272154320000 2284138896160000 2605345928432500 3031675262176000 3334842788393600 3789594077720000 4168553485492000 4387951037360000 4506544308640000 5210691856865000 6669685576787200 7579188155440000 8337106970984000 8775902074720000 10421383713730000 15158376310880000 16674213941968000 20842767427460000 33348427883936000 41685534854920000 83371069709840000 166742139419680000
- Sum of all divisors σ(n): 502777927000911870
- Sum of proper divisors (its aliquot sum) s(n): 336035787581231870
- 166742139419680000 is an abundant number, because the sum of its proper divisors (336035787581231870) is greater than itself. Its abundance is 169293648161551870
Bases of 166742139419680000
- Binary: 10010100000110001100010111101001010011001011011101000000002
- Hexadecimal: 0x2506317A532DD00
- Base-36: 19LT5LDC0LJ4
Squares and roots of 166742139419680000
- 166742139419680000 squared (1667421394196800002) is 27802941058252002967171302400000000
- 166742139419680000 cubed (1667421394196800003) is 4635921874212200879107690346854285791232000000000000
-
The
square root of 166742139419680000 is 408340714.8689437263 -
The
cube root of 166742139419680000 is 550404.2641266803
Scales and comparisons
How big is 166742139419680000?- 166,742,139,419,680,000 seconds is equal to 5,301,884,266 years, 12 weeks, 4 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 166,742,139,419,680,000 would take you about fifteen billion, nine hundred five million, six hundred fifty-two thousand, seven 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 166742139419680000 cubic inches would be around 45867 feet tall.
Recreational maths with 166742139419680000
- 166742139419680000 backwards is 000086914931247661
- The number of decimal digits it has is: 18
- The sum of 166742139419680000's digits is 67
- More coming soon!
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"Number 166742139419680000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 166742139419680000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/166742139419680000/
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The information we have on file for 166742139419680000 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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