4146964416000000
4,146,964,416,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 4146964416000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2184 divisors.
4146964416000000 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 4146964416000000:
212 × 32 × 56 × 7 × 941 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 941 × 1093)See below for interesting mathematical facts about the number 4146964416000000 from the Numbermatics database.
Names of 4146964416000000
- Cardinal: 4146964416000000 can be written as Four quadrillion, one hundred forty-six trillion, nine hundred sixty-four billion, four hundred sixteen million.
Scientific notation
- Scientific notation: 4.146964416 × 1015
Factors of 4146964416000000
Divisors of 4146964416000000
- Number of divisors d(n): 2184
-
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 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 125 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 250 252 256 280 288 300 315 320 336 350 360 375 384 400 420 448 450 480 500 504 512 525 560 576 600 625 630 640 672 700 720 750 768 800 840 875 896 900 941 960 1000 1008 1024 1050 1093 1120 1125 1152 1200 1250 1260 1280 1344 1400 1440 1500 1536 1575 1600 1680 1750 1792 1800 1875 1882 1920 2000 2016 2048 2100 2186 2240 2250 2304 2400 2500 2520 2560 2625 2688 2800 2823 2880 3000 3072 3125 3150 3200 3279 3360 3500 3584 3600 3750 3764 3840 4000 4032 4096 4200 4372 4375 4480 4500 4608 4705 4800 5000 5040 5120 5250 5376 5465 5600 5625 5646 5760 6000 6144 6250 6300 6400 6558 6587 6720 7000 7168 7200 7500 7528 7651 7680 7875 8000 8064 8400 8469 8744 8750 8960 9000 9216 9375 9410 9600 9837 10000 10080 10240 10500 10752 10930 11200 11250 11292 11520 12000 12288 12500 12600 12800 13116 13125 13174 13440 14000 14115 14336 14400 15000 15056 15302 15360 15625 15750 16000 16128 16395 16800 16938 17488 17500 17920 18000 18432 18750 18820 19200 19674 19761 20000 20160 20480 21000 21504 21860 21875 22400 22500 22584 22953 23040 23525 24000 25000 25200 25600 26232 26250 26348 26880 27325 28000 28125 28230 28672 28800 30000 30112 30604 30720 31250 31500 32000 32256 32790 32935 33600 33876 34976 35000 35840 36000 36864 37500 37640 38255 38400 39348 39375 39522 40000 40320 42000 42345 43008 43720 43750 44800 45000 45168 45906 46080 46875 47050 48000 49185 50000 50400 51200 52464 52500 52696 53760 54650 56000 56250 56460 57600 59283 60000 60224 61208 61440 62500 63000 64000 64512 65580 65625 65870 67200 67752 68859 69952 70000 70575 71680 72000 75000 75280 76510 76800 78696 78750 79044 80000 80640 81975 84000 84690 86016 87440 87500 89600 90000 90336 91812 92160 93750 94100 96000 98370 98805 100000 100800 102400 104928 105000 105392 107520 109300 109375 112000 112500 112920 114765 115200 117625 118566 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118484697600000 129592638000000 138232147200000 148105872000000 165878576640000 172790184000000 197474496000000 207348220800000 230386912000000 259185276000000 276464294400000 296211744000000 345580368000000 414696441600000 460773824000000 518370552000000 592423488000000 691160736000000 829392883200000 1036741104000000 1382321472000000 2073482208000000 4146964416000000
- Sum of all divisors σ(n): 17146005947689632
- Sum of proper divisors (its aliquot sum) s(n): 12999041531689632
- 4146964416000000 is an abundant number, because the sum of its proper divisors (12999041531689632) is greater than itself. Its abundance is 8852077115689632
Bases of 4146964416000000
- Binary: 11101011101110100100011001001110100101110000000000002
- Hexadecimal: 0xEBBA464E97000
- Base-36: 14TZ55HU680
Squares and roots of 4146964416000000
- 4146964416000000 squared (41469644160000002) is 17197313867570221056000000000000
- 4146964416000000 cubed (41469644160000003) is 71316648659597043100485943296000000000000000000
-
The
square root of 4146964416000000 is 64396928.6224117989 -
The
cube root of 4146964416000000 is 160660.8657612633
Scales and comparisons
How big is 4146964416000000?- 4,146,964,416,000,000 seconds is equal to 131,860,641 years, 1 week, 2 days, 8 hours.
-
To count from 1 to 4,146,964,416,000,000 would take you about three hundred ninety-five million, five hundred eighty-one thousand, nine hundred twenty-three 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 4146964416000000 cubic inches would be around 13388.4 feet tall.
Recreational maths with 4146964416000000
- 4146964416000000 backwards is 0000006144696414
- 4146964416000000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 4146964416000000's digits is 45
- More coming soon!
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"Number 4146964416000000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 4146964416000000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/4146964416000000/
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Numbermatics. 2024. "Number 4146964416000000 - Facts about the integer". https://numbermatics.com/n/4146964416000000/
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