13340387810736000
13,340,387,810,736,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13340387810736000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
13340387810736000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13340387810736000:
27 × 32 × 53 × 72 × 292 × 1313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 29 × 29 × 131 × 131 × 131)See below for interesting mathematical facts about the number 13340387810736000 from the Numbermatics database.
Names of 13340387810736000
- Cardinal: 13340387810736000 can be written as Thirteen quadrillion, three hundred forty trillion, three hundred eighty-seven billion, eight hundred ten million, seven hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.3340387810736 × 1016
Factors of 13340387810736000
Divisors of 13340387810736000
- Number of divisors d(n): 3456
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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 29 30 32 35 36 40 42 45 48 49 50 56 58 60 63 64 70 72 75 80 84 87 90 96 98 100 105 112 116 120 125 126 128 131 140 144 145 147 150 160 168 174 175 180 192 196 200 203 210 224 225 232 240 245 250 252 261 262 280 288 290 294 300 315 320 336 348 350 360 375 384 392 393 400 406 420 435 441 448 450 464 480 490 500 504 522 524 525 560 576 580 588 600 609 630 640 655 672 696 700 720 725 735 750 784 786 800 812 840 841 870 875 882 896 900 917 928 960 980 1000 1008 1015 1044 1048 1050 1120 1125 1152 1160 1176 1179 1200 1218 1225 1260 1305 1310 1344 1392 1400 1421 1440 1450 1470 1500 1568 1572 1575 1600 1624 1680 1682 1740 1750 1764 1800 1827 1834 1856 1920 1960 1965 2000 2016 2030 2088 2096 2100 2175 2205 2240 2250 2320 2352 2358 2400 2436 2450 2520 2523 2610 2620 2625 2688 2751 2784 2800 2842 2880 2900 2940 3000 3045 3136 3144 3150 3200 3248 3275 3360 3364 3480 3500 3528 3600 3625 3654 3668 3675 3712 3799 3920 3930 4000 4032 4060 4176 4192 4200 4205 4263 4350 4410 4480 4500 4585 4640 4704 4716 4800 4872 4900 5040 5046 5075 5220 5240 5250 5502 5568 5600 5684 5760 5800 5880 5887 5895 6000 6090 6125 6272 6288 6300 6419 6496 6525 6550 6720 6728 6960 7000 7056 7105 7200 7250 7308 7336 7350 7569 7598 7840 7860 7875 8000 8064 8120 8253 8352 8384 8400 8410 8526 8700 8820 9000 9135 9170 9280 9408 9432 9600 9744 9800 9825 10080 10092 10150 10440 10480 10500 10875 11004 11025 11136 11200 11368 11397 11600 11760 11774 11790 12000 12180 12250 12576 12600 12615 12789 12838 12992 13050 13100 13440 13456 13755 13920 14000 14112 14210 14400 14500 14616 14672 14700 15138 15196 15225 15680 15720 15750 16000 16240 16375 16506 16704 16768 16800 16820 17052 17161 17400 17640 17661 18000 18270 18340 18375 18560 18816 18864 18995 19257 19488 19600 19650 20160 20184 20300 20880 20960 21000 21025 21315 21750 22008 22050 22400 22736 22794 22925 23200 23520 23548 23580 24000 24360 24500 25152 25200 25230 25375 25578 25676 25984 26100 26200 26593 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59555302726500 63525656241600 65716196112000 66701939053680 68063203116000 69481186514250 74113265615200 76230787489920 76668895464000 79407070302000 83377423817100 88935918738240 90750937488000 92002674556800 92641582019000 95288484362400 101835021456000 104221779771375 105876093736000 106723102485888 111169898422800 115003343196000 119110605453000 127051312483200 133403878107360 136126406232000 138962373028500 148226531230400 153337790928000 158814140604000 166754847634200 177871837476480 185283164038000 190576968724800 208443559542750 211752187472000 222339796845600 230006686392000 238221210906000 266807756214720 272252812464000 277924746057000 296453062460800 317628281208000 333509695268400 370566328076000 381153937449600 416887119085500 444679593691200 460013372784000 476442421812000 533615512429440 555849492114000 635256562416000 667019390536800 741132656152000 833774238171000 889359187382400 952884843624000 1111698984228000 1334038781073600 1482265312304000 1667548476342000 1905769687248000 2223397968456000 2668077562147200 3335096952684000 4446795936912000 6670193905368000 13340387810736000
- Sum of all divisors σ(n): 58162487287338720
- Sum of proper divisors (its aliquot sum) s(n): 44822099476602720
- 13340387810736000 is an abundant number, because the sum of its proper divisors (44822099476602720) is greater than itself. Its abundance is 31481711665866720
Bases of 13340387810736000
- Binary: 1011110110010100000011000101001001111111110111100000002
- Hexadecimal: 0x2F6503149FF780
- Base-36: 3NCRTJZWM80
Squares and roots of 13340387810736000
- 13340387810736000 squared (133403878107360002) is 177965946940833646956861696000000
- 13340387810736000 cubed (133403878107360003) is 2374134749295586912049614929334575968256000000000
-
The
square root of 13340387810736000 is 115500596.5817319923 -
The
cube root of 13340387810736000 is 237168.0329651087
Scales and comparisons
How big is 13340387810736000?- 13,340,387,810,736,000 seconds is equal to 424,183,067 years, 44 weeks, 2 days, 8 hours.
-
To count from 1 to 13,340,387,810,736,000 would take you about one billion, two hundred seventy-two million, five hundred forty-nine thousand, two hundred three 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 13340387810736000 cubic inches would be around 19764 feet tall.
Recreational maths with 13340387810736000
- 13340387810736000 backwards is 00063701878304331
- The number of decimal digits it has is: 17
- The sum of 13340387810736000's digits is 54
- More coming soon!
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"Number 13340387810736000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 13340387810736000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/13340387810736000/
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Numbermatics. 2024. "Number 13340387810736000 - Facts about the integer". https://numbermatics.com/n/13340387810736000/
The information we have on file for 13340387810736000 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 13340387810736000, math, Factors of 13340387810736000, curriculum, school, college, exams, university, Prime factorization of 13340387810736000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, three hundred forty trillion, three hundred eighty-seven billion, eight hundred ten million, seven hundred thirty-six thousand.