40748105204352000
40,748,105,204,352,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 40748105204352000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3168 divisors.
40748105204352000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 40748105204352000:
210 × 32 × 53 × 7 × 13 × 31 × 35412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 31 × 3541 × 3541)See below for interesting mathematical facts about the number 40748105204352000 from the Numbermatics database.
Names of 40748105204352000
- Cardinal: 40748105204352000 can be written as Forty quadrillion, seven hundred forty-eight trillion, one hundred five billion, two hundred four million, three hundred fifty-two thousand.
Scientific notation
- Scientific notation: 4.0748105204352 × 1016
Factors of 40748105204352000
Divisors of 40748105204352000
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 31 32 35 36 39 40 42 45 48 50 52 56 60 62 63 64 65 70 72 75 78 80 84 90 91 93 96 100 104 105 112 117 120 124 125 126 128 130 140 144 150 155 156 160 168 175 180 182 186 192 195 200 208 210 217 224 225 234 240 248 250 252 256 260 273 279 280 288 300 310 312 315 320 325 336 350 360 364 372 375 384 390 400 403 416 420 434 448 450 455 465 468 480 496 500 504 512 520 525 546 558 560 576 585 600 620 624 630 640 650 651 672 700 720 728 744 750 768 775 780 800 806 819 832 840 868 875 896 900 910 930 936 960 975 992 1000 1008 1024 1040 1050 1085 1092 1116 1120 1125 1152 1170 1200 1209 1240 1248 1260 1280 1300 1302 1344 1365 1395 1400 1440 1456 1488 1500 1536 1550 1560 1575 1600 1612 1625 1638 1664 1680 1736 1750 1792 1800 1820 1860 1872 1920 1950 1953 1984 2000 2015 2016 2080 2100 2170 2184 2232 2240 2250 2275 2304 2325 2340 2400 2418 2480 2496 2520 2560 2600 2604 2625 2688 2730 2790 2800 2821 2880 2912 2925 2976 3000 3072 3100 3120 3150 3200 3224 3250 3255 3276 3328 3360 3472 3500 3541 3584 3600 3627 3640 3720 3744 3840 3875 3900 3906 3968 4000 4030 4032 4095 4160 4200 4340 4368 4464 4480 4500 4550 4608 4650 4680 4800 4836 4875 4960 4992 5040 5120 5200 5208 5250 5376 5425 5460 5580 5600 5642 5760 5824 5850 5952 6000 6045 6200 6240 6300 6400 6448 6500 6510 6552 6656 6720 6825 6944 6975 7000 7082 7168 7200 7254 7280 7440 7488 7680 7750 7800 7812 7875 7936 8000 8060 8064 8190 8320 8400 8463 8680 8736 8928 8960 9000 9100 9216 9300 9360 9600 9672 9750 9765 9920 9984 10075 10080 10400 10416 10500 10623 10752 10850 10920 11160 11200 11284 11375 11520 11625 11648 11700 11904 12000 12090 12400 12480 12600 12800 12896 13000 13020 13104 13312 13440 13650 13888 13950 14000 14105 14164 14400 14508 14560 14625 14880 14976 15360 15500 15600 15624 15750 15872 16000 16120 16128 16275 16380 16640 16800 16926 17360 17472 17705 17856 17920 18000 18135 18200 18600 18720 19200 19344 19500 19530 19840 19968 20150 20160 20475 20800 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5093513150544000 5821157886336000 6791350867392000 8149621040870400 10187026301088000 13582701734784000 20374052602176000 40748105204352000
- Sum of all divisors σ(n): 186607163959437312
- Sum of proper divisors (its aliquot sum) s(n): 145859058755085312
- 40748105204352000 is an abundant number, because the sum of its proper divisors (145859058755085312) is greater than itself. Its abundance is 105110953550733312
Bases of 40748105204352000
- Binary: 100100001100010000101111100011111111100111000100000000002
- Hexadecimal: 0x90C42F8FF9C400
- Base-36: B57ZX3TRSW0
Squares and roots of 40748105204352000
- 40748105204352000 squared (407481052043520002) is 1660408077744938547679739904000000
- 40748105204352000 cubed (407481052043520003) is 67658483034106630662735230076332128862208000000000
-
The
square root of 40748105204352000 is 201861599.1325541837 -
The
cube root of 40748105204352000 is 344114.1038133125
Scales and comparisons
How big is 40748105204352000?- 40,748,105,204,352,000 seconds is equal to 1,295,663,703 years, 17 weeks, 2 days, 8 hours.
-
To count from 1 to 40,748,105,204,352,000 would take you about three billion, eight hundred eighty-six million, nine hundred ninety-one thousand, one hundred ten 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 40748105204352000 cubic inches would be around 28676.2 feet tall.
Recreational maths with 40748105204352000
- 40748105204352000 backwards is 00025340250184704
- 40748105204352000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40748105204352000's digits is 45
- More coming soon!
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"Number 40748105204352000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 40748105204352000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/40748105204352000/
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Numbermatics. 2024. "Number 40748105204352000 - Facts about the integer". https://numbermatics.com/n/40748105204352000/
The information we have on file for 40748105204352000 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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