40828694148900000
40,828,694,148,900,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 40828694148900000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3888 divisors.
40828694148900000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred eighty-eight divisors.
Prime factorization of 40828694148900000:
25 × 32 × 55 × 72 × 61 × 1272 × 941
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 61 × 127 × 127 × 941)See below for interesting mathematical facts about the number 40828694148900000 from the Numbermatics database.
Names of 40828694148900000
- Cardinal: 40828694148900000 can be written as Forty quadrillion, eight hundred twenty-eight trillion, six hundred ninety-four billion, one hundred forty-eight million, nine hundred thousand.
Scientific notation
- Scientific notation: 4.08286941489 × 1016
Factors of 40828694148900000
Divisors of 40828694148900000
- Number of divisors d(n): 3888
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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 49 50 56 60 61 63 70 72 75 80 84 90 96 98 100 105 112 120 122 125 126 127 140 144 147 150 160 168 175 180 183 196 200 210 224 225 240 244 245 250 252 254 280 288 294 300 305 315 336 350 360 366 375 381 392 400 420 427 441 450 480 488 490 500 504 508 525 549 560 588 600 610 625 630 635 672 700 720 732 735 750 762 784 800 840 854 875 882 889 900 915 941 976 980 1000 1008 1016 1050 1098 1120 1125 1143 1176 1200 1220 1225 1250 1260 1270 1281 1400 1440 1464 1470 1500 1524 1525 1568 1575 1680 1708 1750 1764 1778 1800 1830 1875 1882 1905 1952 1960 2000 2016 2032 2100 2135 2196 2205 2250 2286 2352 2400 2440 2450 2500 2520 2540 2562 2625 2667 2745 2800 2823 2928 2940 2989 3000 3048 3050 3125 3150 3175 3360 3416 3500 3528 3556 3600 3660 3675 3750 3764 3810 3843 3920 4000 4064 4200 4270 4375 4392 4410 4445 4500 4572 4575 4704 4705 4880 4900 5000 5040 5080 5124 5250 5334 5490 5600 5625 5646 5715 5856 5880 5978 6000 6096 6100 6125 6223 6250 6300 6350 6405 6587 6832 7000 7056 7112 7200 7320 7350 7500 7528 7620 7625 7686 7747 7840 7875 8001 8400 8469 8540 8750 8784 8820 8890 8967 9000 9144 9150 9375 9410 9525 9760 9800 10000 10080 10160 10248 10500 10668 10675 10980 11025 11250 11292 11430 11760 11956 12000 12192 12200 12250 12446 12500 12600 12700 12810 13125 13174 13335 13664 13725 14000 14112 14115 14224 14640 14700 14945 15000 15056 15240 15250 15372 15494 15750 15875 16002 16129 16800 16938 17080 17500 17568 17640 17780 17934 18000 18288 18300 18375 18669 18750 18820 19050 19215 19600 19761 20000 20320 20496 21000 21336 21350 21875 21960 22050 22225 22500 22584 22860 22875 23241 23520 23525 23912 24400 24500 24892 25000 25200 25400 25620 26250 26348 26670 26901 27450 28000 28125 28230 28448 28575 29280 29400 29890 30000 30112 30480 30500 30625 30744 30988 31115 31500 31750 32004 32025 32258 32935 33876 34160 35000 35280 35560 35868 36000 36576 36600 36750 37338 37500 37640 38100 38125 38430 38735 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2916335296350000 3402391179075000 4082869414890000 4536521572100000 5103586768612500 5832670592700000 6804782358150000 8165738829780000 10207173537225000 13609564716300000 20414347074450000 40828694148900000
- Sum of all divisors σ(n): 173130663899118744
- Sum of proper divisors (its aliquot sum) s(n): 132301969750218744
- 40828694148900000 is an abundant number, because the sum of its proper divisors (132301969750218744) is greater than itself. Its abundance is 91473275601318744
Bases of 40828694148900000
- Binary: 100100010000110101111011001000110110001101100100101000002
- Hexadecimal: 0x910D7B236364A0
- Base-36: B60KB5MM080
Squares and roots of 40828694148900000
- 40828694148900000 squared (408286941489000002) is 1666982265904421095371210000000000
- 40828694148900000 cubed (408286941489000003) is 68060709086251901543224250600513169000000000000000
-
The
square root of 40828694148900000 is 202061114.8858186421 -
The
cube root of 40828694148900000 is 344340.8099002891
Scales and comparisons
How big is 40828694148900000?- 40,828,694,148,900,000 seconds is equal to 1,298,226,182 years, 25 weeks, 4 days, 2 hours.
-
To count from 1 to 40,828,694,148,900,000 would take you about three billion, eight hundred ninety-four million, six hundred seventy-eight thousand, five hundred forty-seven 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 40828694148900000 cubic inches would be around 28695.1 feet tall.
Recreational maths with 40828694148900000
- 40828694148900000 backwards is 00000984149682804
- 40828694148900000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40828694148900000's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 40828694148900000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 40828694148900000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/40828694148900000/
Chicago style:
Numbermatics. 2024. "Number 40828694148900000 - Facts about the integer". https://numbermatics.com/n/40828694148900000/
The information we have on file for 40828694148900000 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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