13638974465093040000
13,638,974,465,093,040,000 is an even composite number composed of seven prime numbers multiplied together.
13638974465093040000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 13638974465093040000:
27 × 32 × 54 × 72 × 131 × 3023 × 976211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 131 × 3023 × 976211)See below for interesting mathematical facts about the number 13638974465093040000 from the Numbermatics database.
Names of 13638974465093040000
- Cardinal: 13638974465093040000 can be written as Thirteen quintillion, six hundred thirty-eight quadrillion, nine hundred seventy-four trillion, four hundred sixty-five billion, ninety-three million, forty thousand.
Scientific notation
- Scientific notation: 1.363897446509304 × 1019
Factors of 13638974465093040000
Divisors of 13638974465093040000
- Number of divisors d(n): 2880
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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 63 64 70 72 75 80 84 90 96 98 100 105 112 120 125 126 128 131 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 250 252 262 280 288 294 300 315 320 336 350 360 375 384 392 393 400 420 441 448 450 480 490 500 504 524 525 560 576 588 600 625 630 640 655 672 700 720 735 750 784 786 800 840 875 882 896 900 917 960 980 1000 1008 1048 1050 1120 1125 1152 1176 1179 1200 1225 1250 1260 1310 1344 1400 1440 1470 1500 1568 1572 1575 1600 1680 1750 1764 1800 1834 1875 1920 1960 1965 2000 2016 2096 2100 2205 2240 2250 2352 2358 2400 2450 2500 2520 2620 2625 2688 2751 2800 2880 2940 3000 3023 3136 3144 3150 3200 3275 3360 3500 3528 3600 3668 3675 3750 3920 3930 4000 4032 4192 4200 4375 4410 4480 4500 4585 4704 4716 4800 4900 5000 5040 5240 5250 5502 5600 5625 5760 5880 5895 6000 6046 6125 6272 6288 6300 6419 6550 6720 7000 7056 7200 7336 7350 7500 7840 7860 7875 8000 8064 8253 8384 8400 8750 8820 9000 9069 9170 9408 9432 9600 9800 9825 10000 10080 10480 10500 11004 11025 11200 11250 11760 11790 12000 12092 12250 12576 12600 12838 13100 13125 13440 13755 14000 14112 14400 14672 14700 15000 15115 15680 15720 15750 16000 16375 16506 16768 16800 17500 17640 18000 18138 18340 18375 18816 18864 19257 19600 19650 20000 20160 20960 21000 21161 22008 22050 22400 22500 22925 23520 23580 24000 24184 24500 25152 25200 25676 26200 26250 27207 27510 28000 28224 28800 29344 29400 29475 30000 30230 30625 31360 31440 31500 32095 32750 33012 33600 35000 35280 36000 36276 36680 36750 37728 38514 39200 39300 39375 40000 40320 41265 41920 42000 42322 44016 44100 45000 45345 45850 47040 47160 48000 48368 49000 49125 50304 50400 51352 52400 52500 54414 55020 55125 56000 56448 57771 58688 58800 58950 60000 60460 61250 62880 63000 63483 64190 65500 66024 67200 68775 70000 70560 72000 72552 73360 73500 75456 75575 77028 78400 78600 78750 80000 81875 82530 83840 84000 84644 88032 88200 90000 90690 91700 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97421246179236000 104114308893840000 106554488008539375 108245829088040000 109111795720744320 113658120542442000 121776557724045000 129894994905648000 136389744650930400 139173208827480000 142072650678052500 151544160723256000 162368743632060000 170487180813663000 181852992867907200 189430200904070000 194842492358472000 213108976017078750 216491658176080000 227316241084884000 243553115448090000 272779489301860800 278346417654960000 284145301356105000 303088321446512000 324737487264120000 340974361627326000 378860401808140000 389684984716944000 426217952034157500 454632482169768000 487106230896180000 545558978603721600 568290602712210000 649474974528240000 681948723254652000 757720803616280000 852435904068315000 909264964339536000 974212461792360000 1136581205424420000 1363897446509304000 1515441607232560000 1704871808136630000 1948424923584720000 2273162410848840000 2727794893018608000 3409743616273260000 4546324821697680000 6819487232546520000 13638974465093040000
- Sum of all divisors σ(n): 57505486532613799680
- Sum of proper divisors (its aliquot sum) s(n): 43866512067520759680
- 13638974465093040000 is an abundant number, because the sum of its proper divisors (43866512067520759680) is greater than itself. Its abundance is 30227537602427719680
Bases of 13638974465093040000
- Binary: 10111101010001110101111100000011011111000111111001110111100000002
- Hexadecimal: 0xBD475F037C7E7780
- Base-36: 2VMESXUUV9B40
Squares and roots of 13638974465093040000
- 13638974465093040000 squared (136389744650930400002) is 186021624459459976593455856441600000000
- 13638974465093040000 cubed (136389744650930400003) is 2537144185957701500387350268333943296627326464000000000000
-
The
square root of 13638974465093040000 is 3693098220.3419718959 -
The
cube root of 13638974465093040000 is 2389244.3743204997
Scales and comparisons
How big is 13638974465093040000?- 13,638,974,465,093,040,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,638,974,465,093,040,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13638974465093040000 cubic inches would be around 199103.7 feet tall.
Recreational maths with 13638974465093040000
- 13638974465093040000 backwards is 00004039056447983631
- 13638974465093040000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13638974465093040000's digits is 72
- More coming soon!
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"Number 13638974465093040000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 13638974465093040000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/13638974465093040000/
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Numbermatics. 2024. "Number 13638974465093040000 - Facts about the integer". https://numbermatics.com/n/13638974465093040000/
The information we have on file for 13638974465093040000 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!
Keywords: Divisors of 13638974465093040000, math, Factors of 13638974465093040000, curriculum, school, college, exams, university, Prime factorization of 13638974465093040000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, six hundred thirty-eight quadrillion, nine hundred seventy-four trillion, four hundred sixty-five billion, ninety-three million, forty thousand.