13221205311291120
13,221,205,311,291,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 13221205311291120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2340 divisors.
13221205311291120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred forty divisors.
Prime factorization of 13221205311291120:
24 × 312 × 5 × 11 × 132 × 4092
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 13 × 13 × 409 × 409)See below for interesting mathematical facts about the number 13221205311291120 from the Numbermatics database.
Names of 13221205311291120
- Cardinal: 13221205311291120 can be written as Thirteen quadrillion, two hundred twenty-one trillion, two hundred five billion, three hundred eleven million, two hundred ninety-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.322120531129112 × 1016
Factors of 13221205311291120
Divisors of 13221205311291120
- Number of divisors d(n): 2340
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 33 36 39 40 44 45 48 52 54 55 60 65 66 72 78 80 81 88 90 99 104 108 110 117 120 130 132 135 143 144 156 162 165 169 176 180 195 198 208 216 220 234 240 243 260 264 270 286 297 312 324 330 338 351 360 390 396 405 409 429 432 440 468 486 495 507 520 528 540 572 585 594 624 648 660 676 702 715 720 729 780 792 810 818 845 858 880 891 936 972 990 1014 1040 1053 1080 1144 1170 1188 1215 1227 1287 1296 1320 1352 1404 1430 1458 1485 1521 1560 1584 1620 1636 1690 1716 1755 1782 1859 1872 1944 1980 2028 2045 2106 2145 2160 2187 2288 2340 2376 2430 2454 2535 2574 2640 2673 2704 2808 2860 2916 2970 3042 3120 3159 3240 3272 3380 3432 3510 3564 3645 3681 3718 3861 3888 3960 4056 4090 4212 4290 4374 4455 4499 4563 4680 4752 4860 4908 5070 5148 5265 5317 5346 5577 5616 5720 5832 5940 6084 6135 6318 6435 6480 6544 6561 6760 6864 7020 7128 7290 7362 7436 7605 7722 7920 8019 8112 8180 8424 8580 8748 8910 8998 9126 9295 9360 9477 9720 9816 10140 10296 10530 10634 10692 10935 11043 11154 11440 11583 11664 11880 12168 12270 12636 12870 13122 13365 13497 13520 13689 14040 14256 14580 14724 14872 15210 15444 15795 15951 16038 16360 16731 16848 17160 17496 17820 17996 18252 18405 18590 18954 19305 19440 19632 19683 20280 20592 21060 21268 21384 21870 22086 22308 22495 22815 23166 23760 24057 24336 24540 25272 25740 26244 26585 26730 26994 27378 27885 28080 28431 29160 29448 29744 30420 30888 31590 31902 32076 32720 32805 33129 33462 34320 34749 34992 35640 35992 36504 36810 37180 37908 38610 39366 40095 40491 40560 41067 42120 42536 42768 43740 44172 44616 44990 45630 46332 47385 47853 48114 49080 50193 50544 51480 52488 53170 53460 53988 54756 55215 55770 56862 57915 58320 58487 58896 59049 60840 61776 63180 63804 64152 65610 66258 66924 67485 68445 69121 69498 71280 71984 72171 73008 73620 74360 75816 77220 78732 79755 80190 80982 82134 83655 84240 85072 85293 87480 88344 89232 89980 91260 92664 94770 95706 96228 98160 98415 99387 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4708406449890 4889499005655 4946204755440 5008032314883 5136443399880 5215465606032 5387614226280 5440825230984 5564480349870 5650087739868 5778498824865 6045361367760 6120928384857 6163732079856 6277875266520 6465137071536 6519332007540 6677376419844 6801031538730 7062609674835 7111998553680 7419307133160 7533450319824 7704665099820 7823198409048 8081421339420 8161237846476 8346720524805 8475131609802 8692442676720 8903168559792 9068042051640 9245598119784 9416812899780 9778998011310 10016064629766 10201547308095 10272886799760 10775228452560 10881650461968 11128960699740 11300175479736 11556997649730 12241856769714 12555750533040 12712697414703 13038664015080 13354752839688 13602063077460 14125219349670 14838614266320 15024096944649 15409330199640 15646396818096 16162842678840 16322475692952 16693441049610 16950263219604 18136084103280 18362785154571 18491196239568 18833625799560 19557996022620 20032129259532 20403094616190 21187829024505 22257921399480 22600350959472 23113995299460 24483713539428 25040161574415 25425394829406 26077328030160 26709505679376 27204126154920 28250438699340 30048193889298 30604641924285 30818660399280 32325685357680 32644951385904 33386882099220 33900526439208 36725570309142 37667251599120 39115992045240 40064258519064 40806189232380 42375658049010 44515842798960 46227990598920 48967427078856 50080323148830 50850789658812 54408252309840 55088355463713 56500877398680 60096387778596 61209283848570 63563487073515 66773764198440 67801052878416 73451140618284 75120484723245 78231984090480 80128517038128 81612378464760 84751316098020 91813925772855 92455981197840 97934854157712 100160646297660 101701579317624 110176710927426 113001754797360 120192775557192 122418567697140 127126974147030 133547528396880 146902281236568 150240969446490 163224756929520 165265066391139 169502632196040 183627851545710 200321292595320 203403158635248 220353421854852 240385551114384 244837135394280 254253948294060 275441777318565 293804562473136 300481938892980 330530132782278 339005264392080 367255703091420 400642585190640 440706843709704 489674270788560 508507896588120 550883554637130 600963877785960 661060265564556 734511406182840 826325331955695 881413687419408 1017015793176240 1101767109274260 1201927755571920 1322120531129112 1469022812365680 1652650663911390 2203534218548520 2644241062258224 3305301327822780 4407068437097040 6610602655645560 13221205311291120
- Sum of all divisors σ(n): 54601060489122456
- Sum of proper divisors (its aliquot sum) s(n): 41379855177831336
- 13221205311291120 is an abundant number, because the sum of its proper divisors (41379855177831336) is greater than itself. Its abundance is 28158649866540216
Bases of 13221205311291120
- Binary: 1011101111100010011101101111100001010011111110111100002
- Hexadecimal: 0x2EF89DBE14FEF0
- Base-36: 3M6IXVCXR00
Squares and roots of 13221205311291120
- 13221205311291120 squared (132212053112911202) is 174800269883312521301361390854400
- 13221205311291120 cubed (132212053112911203) is 2311070256596372711470789793495792435823932928000
-
The
square root of 13221205311291120 is 114983500.1697683579 -
The
cube root of 13221205311291120 is 236459.6358713437
Scales and comparisons
How big is 13221205311291120?- 13,221,205,311,291,120 seconds is equal to 420,393,433 years, 1 week, 2 days, 10 hours, 12 minutes.
-
To count from 1 to 13,221,205,311,291,120 would take you about one billion, two hundred sixty-one million, one hundred eighty thousand, two hundred ninety-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 13221205311291120 cubic inches would be around 19705 feet tall.
Recreational maths with 13221205311291120
- 13221205311291120 backwards is 02119211350212231
- 13221205311291120 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13221205311291120's digits is 36
- More coming soon!
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"Number 13221205311291120 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
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Numbermatics. (2024). Number 13221205311291120 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/13221205311291120/
Chicago style:
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The information we have on file for 13221205311291120 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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