13599802688640000
13,599,802,688,640,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13599802688640000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 440 divisors.
13599802688640000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty divisors.
Prime factorization of 13599802688640000:
210 × 3 × 54 × 7 × 1011890081
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 1011890081)See below for interesting mathematical facts about the number 13599802688640000 from the Numbermatics database.
Names of 13599802688640000
- Cardinal: 13599802688640000 can be written as Thirteen quadrillion, five hundred ninety-nine trillion, eight hundred two billion, six hundred eighty-eight million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.359980268864 × 1016
Factors of 13599802688640000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 1011890098
Divisors of 13599802688640000
- Number of divisors d(n): 440
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 125 128 140 150 160 168 175 192 200 210 224 240 250 256 280 300 320 336 350 375 384 400 420 448 480 500 512 525 560 600 625 640 672 700 750 768 800 840 875 896 960 1000 1024 1050 1120 1200 1250 1280 1344 1400 1500 1536 1600 1680 1750 1792 1875 1920 2000 2100 2240 2400 2500 2560 2625 2688 2800 3000 3072 3200 3360 3500 3584 3750 3840 4000 4200 4375 4480 4800 5000 5120 5250 5376 5600 6000 6400 6720 7000 7168 7500 7680 8000 8400 8750 8960 9600 10000 10500 10752 11200 12000 12800 13125 13440 14000 15000 15360 16000 16800 17500 17920 19200 20000 21000 21504 22400 24000 25600 26250 26880 28000 30000 32000 33600 35000 35840 38400 40000 42000 44800 48000 52500 53760 56000 60000 64000 67200 70000 76800 80000 84000 89600 96000 105000 107520 112000 120000 128000 134400 140000 160000 168000 179200 192000 210000 224000 240000 268800 280000 320000 336000 384000 420000 448000 480000 537600 560000 640000 672000 840000 896000 960000 1120000 1344000 1680000 1920000 2240000 2688000 3360000 4480000 6720000 13440000 1011890081 2023780162 3035670243 4047560324 5059450405 6071340486 7083230567 8095120648 10118900810 12142680972 14166461134 15178351215 16190241296 20237801620 21249691701 24285361944 25297252025 28332922268 30356702430 32380482592 35416152835 40475603240 42499383402 48570723888 50594504050 56665844536 60713404860 64760965184 70832305670 75891756075 80951206480 84998766804 97141447776 101189008100 106248458505 113331689072 121426809720 126486260125 129521930368 141664611340 151783512150 161902412960 169997533608 177080764175 194282895552 202378016200 212496917010 226663378144 242853619440 252972520250 259043860736 283329222680 303567024300 323804825920 339995067216 354161528350 379458780375 388565791104 404756032400 424993834020 453326756288 485707238880 505945040500 518087721472 531242292525 566658445360 607134048600 632431300625 647609651840 679990134432 708323056700 758917560750 777131582208 809512064800 849987668040 885403820875 906653512576 971414477760 1011890081000 1036175442944 1062484585050 1133316890720 1214268097200 1264862601250 1295219303680 1359980268864 1416646113400 1517835121500 1554263164416 1619024129600 1699975336080 1770807641750 1813307025152 1897293901875 1942828955520 2023780162000 2124969170100 2266633781440 2428536194400 2529725202500 2590438607360 2656211462625 2719960537728 2833292226800 3035670243000 3108526328832 3238048259200 3399950672160 3541615283500 3626614050304 3794587803750 3885657911040 4047560324000 4249938340200 4427019104375 4533267562880 4857072388800 5059450405000 5180877214720 5312422925250 5439921075456 5666584453600 6071340486000 6476096518400 6799901344320 7083230567000 7253228100608 7589175607500 7771315822080 8095120648000 8499876680400 8854038208750 9066535125760 9714144777600 10118900810000 10624845850500 10879842150912 11333168907200 12142680972000 12952193036800 13281057313125 13599802688640 14166461134000 15178351215000 15542631644160 16190241296000 16999753360800 17708076417500 18133070251520 19428289555200 20237801620000 21249691701000 21759684301824 22666337814400 24285361944000 25904386073600 26562114626250 27199605377280 28332922268000 30356702430000 32380482592000 33999506721600 35416152835000 36266140503040 38856579110400 40475603240000 42499383402000 45332675628800 48570723888000 53124229252500 54399210754560 56665844536000 60713404860000 64760965184000 67999013443200 70832305670000 77713158220800 80951206480000 84998766804000 90665351257600 97141447776000 106248458505000 108798421509120 113331689072000 121426809720000 129521930368000 135998026886400 141664611340000 161902412960000 169997533608000 181330702515200 194282895552000 212496917010000 226663378144000 242853619440000 271996053772800 283329222680000 323804825920000 339995067216000 388565791104000 424993834020000 453326756288000 485707238880000 543992107545600 566658445360000 647609651840000 679990134432000 849987668040000 906653512576000 971414477760000 1133316890720000 1359980268864000 1699975336080000 1942828955520000 2266633781440000 2719960537728000 3399950672160000 4533267562880000 6799901344320000 13599802688640000
- Sum of all divisors σ(n): 51766904234367168
- Sum of proper divisors (its aliquot sum) s(n): 38167101545727168
- 13599802688640000 is an abundant number, because the sum of its proper divisors (38167101545727168) is greater than itself. Its abundance is 24567298857087168
Bases of 13599802688640000
- Binary: 1100000101000011110010110100000100010110010100000000002
- Hexadecimal: 0x3050F2D0459400
- Base-36: 3PWQ73SBE2O
Squares and roots of 13599802688640000
- 13599802688640000 squared (135998026886400002) is 184954633169939772785049600000000
- 13599802688640000 cubed (135998026886400003) is 2515346517460971847948988250875756544000000000000
-
The
square root of 13599802688640000 is 116618191.9283608169 -
The
cube root of 13599802688640000 is 238695.4840279645
Scales and comparisons
How big is 13599802688640000?- 13,599,802,688,640,000 seconds is equal to 432,431,658 years, 28 weeks, 3 days, 2 hours, 40 minutes.
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To count from 1 to 13,599,802,688,640,000 would take you about one billion, two hundred ninety-seven million, two hundred ninety-four thousand, nine hundred seventy-five 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 13599802688640000 cubic inches would be around 19891.3 feet tall.
Recreational maths with 13599802688640000
- 13599802688640000 backwards is 00004688620899531
- The number of decimal digits it has is: 17
- The sum of 13599802688640000's digits is 69
- More coming soon!
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