3998339186313120
3,998,339,186,313,120 is an even composite number composed of nine prime numbers multiplied together.
What does the number 3998339186313120 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2304 divisors.
3998339186313120 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 3998339186313120:
25 × 3 × 5 × 112 × 29 × 43 × 61 × 113 × 8009
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 29 × 43 × 61 × 113 × 8009)See below for interesting mathematical facts about the number 3998339186313120 from the Numbermatics database.
Names of 3998339186313120
- Cardinal: 3998339186313120 can be written as Three quadrillion, nine hundred ninety-eight trillion, three hundred thirty-nine billion, one hundred eighty-six million, three hundred thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.99833918631312 × 1015
Factors of 3998339186313120
Divisors of 3998339186313120
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 32 33 40 43 44 48 55 58 60 61 66 80 86 87 88 96 110 113 116 120 121 122 129 132 145 160 165 172 174 176 183 215 220 226 232 240 242 244 258 264 290 305 319 330 339 344 348 352 363 366 430 435 440 452 464 473 480 484 488 516 528 565 580 605 610 638 645 660 671 678 688 696 726 732 860 870 880 904 915 928 946 957 968 976 1032 1056 1130 1160 1210 1220 1243 1247 1276 1290 1320 1342 1356 1376 1392 1419 1452 1464 1595 1695 1720 1740 1760 1769 1808 1815 1830 1892 1914 1936 1952 2013 2064 2260 2320 2365 2420 2440 2486 2494 2552 2580 2623 2640 2684 2712 2784 2838 2904 2928 3190 3277 3355 3390 3440 3480 3509 3538 3616 3630 3660 3729 3741 3784 3828 3872 4026 4128 4520 4640 4730 4785 4840 4859 4880 4972 4988 5104 5160 5203 5246 5280 5307 5368 5424 5676 5808 5856 6215 6235 6380 6554 6710 6780 6880 6893 6960 7018 7076 7095 7260 7320 7381 7458 7482 7568 7656 7869 8009 8052 8845 9040 9460 9570 9680 9718 9760 9831 9944 9976 10065 10208 10320 10406 10492 10527 10614 10736 10848 11352 11616 12430 12470 12760 13108 13115 13420 13560 13673 13717 13786 13920 14036 14152 14190 14520 14577 14640 14762 14916 14964 15136 15312 15609 15738 16018 16104 16385 17545 17690 18080 18645 18705 18920 19140 19360 19436 19459 19662 19888 19952 20130 20640 20679 20812 20984 21054 21228 21472 22143 22704 24027 24295 24860 24940 25520 26015 26216 26230 26535 26840 27120 27346 27434 27572 28072 28304 28380 28853 29040 29154 29280 29524 29832 29928 30624 31218 31476 32036 32208 32770 34465 35090 35380 36047 36905 37290 37410 37840 38280 38872 38918 39324 39345 39776 39904 40045 40260 41019 41151 41358 41624 41968 42108 42456 44286 45408 48054 48590 49155 49720 49880 51040 52030 52432 52460 52635 53070 53449 53680 54240 54692 54868 55144 56144 56608 56760 57706 58080 58308 58377 59048 59664 59856 62436 62952 64072 64416 65540 68365 68585 68930 70180 70760 72094 72885 73810 74580 74820 75680 75823 76067 76560 77744 77836 78045 78648 78690 80090 80520 82038 82302 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4177992880160 4226574192720 4308555157665 4369769602528 4422941577780 4543567257174 4595792168176 4649231611992 5462212003160 5507354251120 5744740210220 5811539514990 5897255437040 5958776730720 6058089676232 6198975482656 6266989320240 6554654403792 6608825101344 6893688252264 7076706524448 7572612095290 7748719353320 8193318004740 8261031376680 8329873304819 8453148385440 8617110315330 8845883155560 9087134514348 9191584336352 9298463223984 10924424006320 11014708502240 11358918142935 11489480420440 11623079029980 11794510874080 12116179352464 12533978640480 13109308807584 13787376504528 15145224190580 15497438706640 16386636009480 16522062753360 16659746609638 17234220630660 17691766311120 18174269028696 18596926447968 21848848012640 22717836285870 22978960840880 23246158059960 24232358704928 24989619914457 27574753009056 30290448381160 30994877413280 32773272018960 33044125506720 33319493219276 34468441261320 35383532622240 36348538057392 41649366524095 45435672571740 45957921681760 46492316119920 49979239828914 60580896762320 65546544037920 66638986438552 68936882522640 72697076114784 83298733048190 90871345143480 92984632239840 99958479657828 121161793524640 124948099572285 133277972877104 137873765045280 166597466096380 181742690286960 199916959315656 249896199144570 266555945754208 333194932192760 363485380573920 399833918631312 499792398289140 666389864385520 799667837262624 999584796578280 1332779728771040 1999169593156560 3998339186313120
- Sum of all divisors σ(n): 15028181109849600
- Sum of proper divisors (its aliquot sum) s(n): 11029841923536480
- 3998339186313120 is an abundant number, because the sum of its proper divisors (11029841923536480) is greater than itself. Its abundance is 7031502737223360
Bases of 3998339186313120
- Binary: 11100011010001110111111000101110010001000111101000002
- Hexadecimal: 0xE3477E2E447A0
- Base-36: 13DAJNXH02O
Squares and roots of 3998339186313120
- 3998339186313120 squared (39983391863131202) is 15986716248807062527938684134400
- 3998339186313120 cubed (39983391863131203) is 63920314038073964450835927998596171374563328000
-
The
square root of 3998339186313120 is 63232421.9551419681 -
The
cube root of 3998339186313120 is 158718.1323438575
Scales and comparisons
How big is 3998339186313120?- 3,998,339,186,313,120 seconds is equal to 127,134,818 years, 23 weeks, 2 days, 15 hours, 52 minutes.
-
To count from 1 to 3,998,339,186,313,120 would take you about three hundred eighty-one million, four hundred four thousand, four hundred fifty-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 3998339186313120 cubic inches would be around 13226.5 feet tall.
Recreational maths with 3998339186313120
- 3998339186313120 backwards is 0213136819338993
- The number of decimal digits it has is: 16
- The sum of 3998339186313120's digits is 69
- More coming soon!
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"Number 3998339186313120 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 3998339186313120 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/3998339186313120/
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The information we have on file for 3998339186313120 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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