2004331167141120000
2,004,331,167,141,120,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 2004331167141120000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
2004331167141120000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 2004331167141120000:
211 × 32 × 54 × 61 × 941 × 17412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 61 × 941 × 1741 × 1741)See below for interesting mathematical facts about the number 2004331167141120000 from the Numbermatics database.
Names of 2004331167141120000
- Cardinal: 2004331167141120000 can be written as Two quintillion, four quadrillion, three hundred thirty-one trillion, one hundred sixty-seven billion, one hundred forty-one million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 2.00433116714112 × 1018
Factors of 2004331167141120000
Divisors of 2004331167141120000
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 61 64 72 75 80 90 96 100 120 122 125 128 144 150 160 180 183 192 200 225 240 244 250 256 288 300 305 320 360 366 375 384 400 450 480 488 500 512 549 576 600 610 625 640 720 732 750 768 800 900 915 941 960 976 1000 1024 1098 1125 1152 1200 1220 1250 1280 1440 1464 1500 1525 1536 1600 1741 1800 1830 1875 1882 1920 1952 2000 2048 2196 2250 2304 2400 2440 2500 2560 2745 2823 2880 2928 3000 3050 3072 3200 3482 3600 3660 3750 3764 3840 3904 4000 4392 4500 4575 4608 4705 4800 4880 5000 5120 5223 5490 5625 5646 5760 5856 6000 6100 6144 6400 6964 7200 7320 7500 7528 7625 7680 7808 8000 8469 8705 8784 9000 9150 9216 9410 9600 9760 10000 10240 10446 10980 11250 11292 11520 11712 12000 12200 12800 13725 13928 14115 14400 14640 15000 15056 15250 15360 15616 15669 16000 16938 17410 17568 18000 18300 18432 18820 19200 19520 20000 20892 21960 22500 22584 22875 23040 23424 23525 24000 24400 25600 26115 27450 27856 28230 28800 29280 30000 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547631466432000 556758657539200 575626412160000 626353489731600 652451551803750 657157759718400 668110389047040 684539333040000 695948321924000 710000413440000 730175288576000 782941862164500 801732466856448 821447199648000 835137986308800 869935402405000 890813852062720 912719110720000 978677327705625 1002165583570560 1026808999560000 1043922482886000 1065000620160000 1068976622475264 1095262932864000 1113517315078400 1151252824320000 1252706979463200 1304903103607500 1314315519436800 1336220778094080 1369078666080000 1391896643848000 1565883724329000 1603464933712896 1642894399296000 1670275972617600 1739870804810000 1781627704125440 1825438221440000 1957354655411250 2004331167141120 2053617999120000 2087844965772000 2130001240320000 2190525865728000 2227034630156800 2505413958926400 2609806207215000 2672441556188160 2738157332160000 2783793287696000 3131767448658000 3206929867425792 3285788798592000 3340551945235200 3479741609620000 3650876442880000 3914709310822500 4008662334282240 4107235998240000 4175689931544000 4454069260313600 5010827917852800 5219612414430000 5344883112376320 5476314664320000 5567586575392000 6263534897316000 6571577597184000 6681103890470400 6959483219240000 7829418621645000 8017324668564480 8214471996480000 8351379863088000 8908138520627200 10021655835705600 10439224828860000 10952629328640000 11135173150784000 12527069794632000 13362207780940800 13918966438480000 15658837243290000 16034649337128960 16428943992960000 16702759726176000 20043311671411200 20878449657720000 22270346301568000 25054139589264000 26724415561881600 27837932876960000 31317674486580000 32857887985920000 33405519452352000 40086623342822400 41756899315440000 44540692603136000 50108279178528000 55675865753920000 62635348973160000 66811038904704000 80173246685644800 83513798630880000 100216558357056000 111351731507840000 125270697946320000 133622077809408000 167027597261760000 200433116714112000 222703463015680000 250541395892640000 334055194523520000 400866233428224000 501082791785280000 668110389047040000 1002165583570560000 2004331167141120000
- Sum of all divisors σ(n): 7364409839011445220
- Sum of proper divisors (its aliquot sum) s(n): 5360078671870325220
- 2004331167141120000 is an abundant number, because the sum of its proper divisors (5360078671870325220) is greater than itself. Its abundance is 3355747504729205220
Bases of 2004331167141120000
- Binary: 11011110100001101000010010011101111011011000011001000000000002
- Hexadecimal: 0x1BD0D093BDB0C800
- Base-36: F87G3MPMNLS0
Squares and roots of 2004331167141120000
- 2004331167141120000 squared (20043311671411200002) is 4017343427573284317593994854400000000
- 2004331167141120000 cubed (20043311671411200003) is 8052086640994668438805112221610411638652928000000000000
-
The
square root of 2004331167141120000 is 1415744033.0586316831 -
The
cube root of 2004331167141120000 is 1260829.8822680499
Scales and comparisons
How big is 2004331167141120000?- 2,004,331,167,141,120,000 seconds is equal to 63,731,531,311 years, 37 weeks, 3 days, 16 hours.
-
To count from 1 to 2,004,331,167,141,120,000 would take you about two hundred twenty-three billion, sixty million, three hundred fifty-nine thousand, five hundred ninety-one 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 2004331167141120000 cubic inches would be around 105069.2 feet tall.
Recreational maths with 2004331167141120000
- 2004331167141120000 backwards is 0000211417611334002
- 2004331167141120000 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 2004331167141120000's digits is 36
- More coming soon!
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"Number 2004331167141120000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 2004331167141120000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/2004331167141120000/
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The information we have on file for 2004331167141120000 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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