13701353093120000
13,701,353,093,120,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13701353093120000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3600 divisors.
13701353093120000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, six hundred divisors.
Prime factorization of 13701353093120000:
214 × 54 × 73 × 11 × 672 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 67 × 67 × 79)See below for interesting mathematical facts about the number 13701353093120000 from the Numbermatics database.
Names of 13701353093120000
- Cardinal: 13701353093120000 can be written as Thirteen quadrillion, seven hundred one trillion, three hundred fifty-three billion, ninety-three million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 1.370135309312 × 1016
Factors of 13701353093120000
Divisors of 13701353093120000
- Number of divisors d(n): 3600
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 67 70 77 79 80 88 98 100 110 112 125 128 134 140 154 158 160 175 176 196 200 220 224 245 250 256 268 275 280 308 316 320 335 343 350 352 385 392 395 400 440 448 469 490 500 512 536 539 550 553 560 616 625 632 640 670 686 700 704 737 770 784 790 800 869 875 880 896 938 980 1000 1024 1072 1078 1100 1106 1120 1225 1232 1250 1264 1280 1340 1372 1375 1400 1408 1474 1540 1568 1580 1600 1675 1715 1738 1750 1760 1792 1876 1925 1960 1975 2000 2048 2144 2156 2200 2212 2240 2345 2450 2464 2500 2528 2560 2680 2695 2744 2750 2765 2800 2816 2948 3080 3136 3160 3200 3283 3350 3430 3476 3500 3520 3584 3685 3752 3773 3850 3871 3920 3950 4000 4096 4288 4312 4345 4375 4400 4424 4480 4489 4690 4900 4928 5000 5056 5120 5159 5293 5360 5390 5488 5500 5530 5600 5632 5896 6083 6125 6160 6272 6320 6400 6566 6700 6860 6875 6952 7000 7040 7168 7370 7504 7546 7700 7742 7840 7900 8000 8192 8375 8575 8576 8624 8690 8750 8800 8848 8960 8978 9380 9625 9800 9856 9875 10000 10112 10240 10318 10586 10720 10780 10976 11000 11060 11200 11264 11725 11792 12166 12250 12320 12544 12640 12800 13132 13400 13475 13720 13750 13825 13904 14000 14080 14336 14740 15008 15092 15400 15484 15680 15800 16000 16384 16415 16750 17150 17152 17248 17380 17500 17600 17696 17920 17956 18425 18760 18865 19250 19355 19600 19712 19750 20000 20224 20480 20636 21172 21440 21560 21725 21952 22000 22120 22400 22445 22528 22981 23450 23584 24332 24500 24640 25088 25280 25600 25795 26264 26465 26800 26950 27097 27440 27500 27650 27808 28000 28160 28672 29480 30016 30184 30415 30625 30800 30968 31360 31423 31600 32000 32830 33500 34300 34304 34496 34760 35000 35200 35392 35840 35912 36113 36850 37051 37520 37730 38500 38710 39200 39424 39500 40000 40448 40960 41272 41875 42344 42581 42875 42880 43120 43450 43904 44000 44240 44800 44890 45056 45962 46900 47168 48125 48664 49000 49280 49375 49379 50176 50560 51200 51590 52528 52930 53600 53900 54194 54880 55000 55300 55616 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137013530931200 139809725440000 155697194240000 171266913664000 173434849280000 177939650560000 195733615616000 204497807360000 214083642080000 244667019520000 249115510784000 274027061862400 279619450880000 311394388480000 342533827328000 391467231232000 428167284160000 489334039040000 548054123724800 622788776960000 685067654656000 856334568320000 978668078080000 1245577553920000 1370135309312000 1712669136640000 1957336156160000 2740270618624000 3425338273280000 6850676546560000 13701353093120000
- Sum of all divisors σ(n): 44781431054976000
- Sum of proper divisors (its aliquot sum) s(n): 31080077961856000
- 13701353093120000 is an abundant number, because the sum of its proper divisors (31080077961856000) is greater than itself. Its abundance is 17378724868736000
Bases of 13701353093120000
- Binary: 1100001010110101001110110111000000111011000000000000002
- Hexadecimal: 0x30AD4EDC0EC000
- Base-36: 3QWQ2PT6UBK
Squares and roots of 13701353093120000
- 13701353093120000 squared (137013530931200002) is 187727076582348991391334400000000
- 13701353093120000 cubed (137013530931200003) is 2572114961393942471594971833804259328000000000000
-
The
square root of 13701353093120000 is 117052779.0918267775 -
The
cube root of 13701353093120000 is 239288.1283901207
Scales and comparisons
How big is 13701353093120000?- 13,701,353,093,120,000 seconds is equal to 435,660,647 years, 15 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,701,353,093,120,000 would take you about one billion, three hundred six million, nine hundred eighty-one thousand, nine hundred forty-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 13701353093120000 cubic inches would be around 19940.7 feet tall.
Recreational maths with 13701353093120000
- 13701353093120000 backwards is 00002139035310731
- The number of decimal digits it has is: 17
- The sum of 13701353093120000's digits is 38
- More coming soon!
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"Number 13701353093120000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 13701353093120000 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/13701353093120000/
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Numbermatics. 2024. "Number 13701353093120000 - Facts about the integer". https://numbermatics.com/n/13701353093120000/
The information we have on file for 13701353093120000 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 13701353093120000, math, Factors of 13701353093120000, curriculum, school, college, exams, university, Prime factorization of 13701353093120000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, seven hundred one trillion, three hundred fifty-three billion, ninety-three million, one hundred twenty thousand.