13518331963136000
13,518,331,963,136,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13518331963136000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
13518331963136000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 13518331963136000:
211 × 53 × 7 × 11 × 13 × 37 × 73 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 13 × 37 × 73 × 19531)See below for interesting mathematical facts about the number 13518331963136000 from the Numbermatics database.
Names of 13518331963136000
- Cardinal: 13518331963136000 can be written as Thirteen quadrillion, five hundred eighteen trillion, three hundred thirty-one billion, nine hundred sixty-three million, one hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.3518331963136 × 1016
Factors of 13518331963136000
Divisors of 13518331963136000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 37 40 44 50 52 55 56 64 65 70 73 74 77 80 88 91 100 104 110 112 125 128 130 140 143 146 148 154 160 175 176 182 185 200 208 220 224 250 256 259 260 275 280 286 292 296 308 320 325 350 352 364 365 370 385 400 407 416 440 448 455 481 500 511 512 518 520 550 560 572 584 592 616 640 650 700 704 715 728 730 740 770 800 803 814 832 875 880 896 910 925 949 962 1000 1001 1022 1024 1036 1040 1100 1120 1144 1168 1184 1232 1280 1295 1300 1375 1400 1408 1430 1456 1460 1480 1540 1600 1606 1625 1628 1664 1750 1760 1792 1820 1825 1850 1898 1924 1925 2000 2002 2035 2044 2048 2072 2080 2200 2240 2275 2288 2336 2368 2405 2464 2555 2560 2590 2600 2701 2750 2800 2816 2849 2860 2912 2920 2960 3080 3200 3212 3250 3256 3328 3367 3500 3520 3575 3584 3640 3650 3700 3796 3848 3850 4000 4004 4015 4070 4088 4144 4160 4400 4480 4550 4576 4625 4672 4736 4745 4810 4928 5005 5110 5120 5180 5200 5291 5402 5500 5600 5621 5632 5698 5720 5824 5840 5920 6160 6400 6424 6475 6500 6512 6643 6656 6734 7000 7040 7150 7168 7280 7300 7400 7592 7696 7700 8000 8008 8030 8140 8176 8288 8320 8800 8960 9100 9125 9152 9250 9344 9472 9490 9620 9625 9856 10010 10175 10220 10240 10360 10400 10439 10582 10804 11000 11200 11242 11264 11375 11396 11440 11648 11680 11840 12025 12320 12775 12800 12848 12950 13000 13024 13286 13312 13468 13505 14000 14080 14245 14300 14336 14560 14600 14800 15184 15392 15400 16000 16016 16060 16280 16352 16576 16640 16835 17600 17875 17920 18200 18250 18304 18500 18688 18907 18944 18980 19240 19250 19531 19712 20020 20075 20350 20440 20720 20800 20878 21164 21608 22000 22400 22484 22528 22750 22792 22880 23296 23360 23680 23725 24050 24640 25025 25550 25600 25696 25900 26000 26048 26455 26572 26624 26936 27010 28000 28105 28160 28490 28600 29120 29200 29600 29711 30368 30784 30800 32000 32032 32120 32375 32560 32704 33152 33215 33280 33670 35113 35200 35750 35840 36400 36500 36608 37000 37037 37376 37814 37888 37960 38480 38500 39062 39424 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5708755052000 5786957176000 5908361872000 5942123939840 6034969626400 6144696346880 6499198059200 6524291488000 6600748028875 6613665344000 6642914969600 6752413568000 6759165981568 7022510110720 7026160064000 7122408832000 7307206466560 7407305185280 7427654924800 7543712033000 7680870433600 7724761121792 8123997574000 8303643712000 8318973515776 8417392256000 8448957476960 8778137638400 9134008083200 9259131481600 9284568656000 9453378995200 9601088042000 9655951402240 9831514155008 10398716894720 10438866380800 10561196846200 10972672048000 11417510104000 11573914352000 11816723744000 12069939252800 12289392693760 12998396118400 13048582976000 13201496057750 13227330688000 13504827136000 13518331963136 14052320128000 14244817664000 14614412933120 14855309849600 15087424066000 15361740867200 15449522243584 16247995148000 16607287424000 16834784512000 16897914953920 17556275276800 18268016166400 18518262963200 18569137312000 18906757990400 19202176084000 19311902804480 20797433789440 21122393692400 21945344096000 22835020208000 23147828704000 23633447488000 24139878505600 24578785387520 25996792236800 26097165952000 26402992115500 26454661376000 27036663926272 28104640256000 29710619699200 30174848132000 30723481734400 32495990296000 33214574848000 33795829907840 35112550553600 36536032332800 37036525926400 37138274624000 38404352168000 38623805608960 41594867578880 42244787384800 43890688192000 45670040416000 46295657408000 47266894976000 48279757011200 49157570775040 51993584473600 52194331904000 52805984231000 54073327852544 60349696264000 61446963468800 64991980592000 67591659815680 73072064665600 74276549248000 76808704336000 77247611217920 84489574769600 87781376384000 91340080832000 92591314816000 94533789952000 96559514022400 103987168947200 105611968462000 108146655705088 120699392528000 122893926937600 129983961184000 135183319631360 148553098496000 153617408672000 168979149539200 175562752768000 182680161664000 185182629632000 193119028044800 207974337894400 211223936924000 241398785056000 245787853875200 259967922368000 270366639262720 307234817344000 337958299078400 365360323328000 386238056089600 422447873848000 482797570112000 519935844736000 540733278525440 614469634688000 675916598156800 844895747696000 965595140224000 1039871689472000 1228939269376000 1351833196313600 1689791495392000 1931190280448000 2703666392627200 3379582990784000 6759165981568000 13518331963136000
- Sum of all divisors σ(n): 47156309032734720
- Sum of proper divisors (its aliquot sum) s(n): 33637977069598720
- 13518331963136000 is an abundant number, because the sum of its proper divisors (33637977069598720) is greater than itself. Its abundance is 20119645106462720
Bases of 13518331963136000
- Binary: 1100000000011011011001111011101001111001011000000000002
- Hexadecimal: 0x3006D9EE9E5800
- Base-36: 3P3UJYXV2M8
Squares and roots of 13518331963136000
- 13518331963136000 squared (135183319631360002) is 182745299065544419662954496000000
- 13518331963136000 cubed (135183319631360003) is 2470411617470596520998917491365517459456000000000
-
The
square root of 13518331963136000 is 116268361.8321682555 -
The
cube root of 13518331963136000 is 238217.8874824867
Scales and comparisons
How big is 13518331963136000?- 13,518,331,963,136,000 seconds is equal to 429,841,141 years, 25 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,518,331,963,136,000 would take you about one billion, two hundred eighty-nine million, five hundred twenty-three thousand, four hundred twenty-four 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 13518331963136000 cubic inches would be around 19851.5 feet tall.
Recreational maths with 13518331963136000
- 13518331963136000 backwards is 00063136913381531
- The number of decimal digits it has is: 17
- The sum of 13518331963136000's digits is 53
- More coming soon!
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"Number 13518331963136000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 13518331963136000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13518331963136000/
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Numbermatics. 2024. "Number 13518331963136000 - Facts about the integer". https://numbermatics.com/n/13518331963136000/
The information we have on file for 13518331963136000 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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