13985098301324800
13,985,098,301,324,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13985098301324800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
13985098301324800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13985098301324800:
29 × 52 × 13 × 172 × 29 × 127 × 2812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 17 × 29 × 127 × 281 × 281)See below for interesting mathematical facts about the number 13985098301324800 from the Numbermatics database.
Names of 13985098301324800
- Cardinal: 13985098301324800 can be written as Thirteen quadrillion, nine hundred eighty-five trillion, ninety-eight billion, three hundred one million, three hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.39850983013248 × 1016
Factors of 13985098301324800
Divisors of 13985098301324800
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 29 32 34 40 50 52 58 64 65 68 80 85 100 104 116 127 128 130 136 145 160 170 200 208 221 232 254 256 260 272 281 289 290 320 325 340 377 400 416 425 442 464 493 508 512 520 544 562 578 580 635 640 650 680 725 754 800 832 850 884 928 986 1016 1040 1088 1105 1124 1156 1160 1270 1280 1300 1360 1405 1445 1450 1508 1600 1651 1664 1700 1768 1856 1885 1972 2032 2080 2159 2176 2210 2248 2312 2320 2465 2540 2560 2600 2720 2810 2890 2900 3016 3175 3200 3302 3328 3400 3536 3653 3683 3712 3757 3770 3944 4064 4160 4318 4352 4420 4496 4624 4640 4777 4930 5080 5200 5440 5525 5620 5780 5800 6032 6350 6400 6409 6604 6656 6800 7025 7072 7225 7306 7366 7424 7514 7540 7888 8128 8149 8255 8320 8381 8636 8704 8840 8992 9248 9280 9425 9554 9860 10160 10400 10795 10880 11050 11240 11560 11600 12064 12325 12700 12800 12818 13208 13600 14050 14144 14450 14612 14732 14848 15028 15080 15776 16256 16298 16510 16640 16762 17272 17680 17984 18265 18415 18496 18560 18785 18850 19108 19720 20320 20800 21590 21760 22100 22480 23120 23200 23885 24128 24650 25400 25636 26416 27200 28067 28100 28288 28900 29224 29464 30056 30160 31552 32045 32512 32596 33020 33280 33524 34544 35360 35687 35968 36530 36703 36830 36992 37120 37570 37700 38216 39440 40640 40745 41275 41600 41905 43180 43520 44200 44960 46240 46400 47770 47879 48256 49300 50800 51272 52832 53975 54400 56134 56200 56576 57800 58448 58928 60112 60320 62101 62611 63104 64090 65024 65192 66040 67048 69088 70720 71374 71936 73060 73406 73660 73984 74240 75140 75400 76432 78880 78961 81209 81280 81490 82550 83200 83810 86360 88400 89920 91325 92075 92480 92800 93925 95540 95758 96512 98600 101600 102544 105664 105937 107950 108800 108953 112268 112400 113152 115600 116896 117856 119425 120224 120640 124202 125222 126208 128180 130384 132080 134096 138176 138533 140335 141440 142748 143872 146120 146812 147320 147968 150280 150800 152864 157760 157922 160225 162418 162560 162980 165100 166400 167620 172720 176800 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43703432191640 48224476901120 48391343603200 49769033100800 51415802578400 53788839620480 54629290239550 55059442131200 60280596126400 63280987788800 67236049525600 69925491506624 82265284125440 87406864383280 96448953802240 102831605156800 107577679240960 109258580479100 110118884262400 120561192252800 134472099051200 139850983013248 164530568250880 174813728766560 205663210313600 215155358481920 218517160958200 241122384505600 268944198102400 279701966026496 349627457533120 411326420627200 437034321916400 482244769011200 537888396204800 559403932052992 699254915066240 822652841254400 874068643832800 1075776792409600 1398509830132480 1748137287665600 2797019660264960 3496274575331200 6992549150662400 13985098301324800
- Sum of all divisors σ(n): 41475905077178880
- Sum of proper divisors (its aliquot sum) s(n): 27490806775854080
- 13985098301324800 is an abundant number, because the sum of its proper divisors (27490806775854080) is greater than itself. Its abundance is 13505708474529280
Bases of 13985098301324800
- Binary: 1100011010111101011111011100000110011000111110000000002
- Hexadecimal: 0x31AF5F70663E00
- Base-36: 3TPAXGS2K1S
Squares and roots of 13985098301324800
- 13985098301324800 squared (139850983013248002) is 195582974497717806457435095040000
- 13985098301324800 cubed (139850983013248003) is 2735247124416084973582181119999052445908992000000
-
The
square root of 13985098301324800 is 118258607.7261389037 -
The
cube root of 13985098301324800 is 240928.6836457897
Scales and comparisons
How big is 13985098301324800?- 13,985,098,301,324,800 seconds is equal to 444,682,867 years, 12 weeks, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,985,098,301,324,800 would take you about one billion, three hundred thirty-four million, forty-eight thousand, six hundred 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 13985098301324800 cubic inches would be around 20077.4 feet tall.
Recreational maths with 13985098301324800
- 13985098301324800 backwards is 00842310389058931
- 13985098301324800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13985098301324800's digits is 64
- More coming soon!
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"Number 13985098301324800 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 13985098301324800 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13985098301324800/
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Numbermatics. 2024. "Number 13985098301324800 - Facts about the integer". https://numbermatics.com/n/13985098301324800/
The information we have on file for 13985098301324800 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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