1982443136349619200
1,982,443,136,349,619,200 is an even composite number composed of five prime numbers multiplied together.
1982443136349619200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 1982443136349619200:
210 × 3 × 52 × 31 × 832679408749
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 31 × 832679408749)See below for interesting mathematical facts about the number 1982443136349619200 from the Numbermatics database.
Names of 1982443136349619200
- Cardinal: 1982443136349619200 can be written as One quintillion, nine hundred eighty-two quadrillion, four hundred forty-three trillion, one hundred thirty-six billion, three hundred forty-nine million, six hundred nineteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.9824431363496192 × 1018
Factors of 1982443136349619200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 832679408790
Divisors of 1982443136349619200
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 75 80 93 96 100 120 124 128 150 155 160 186 192 200 240 248 256 300 310 320 372 384 400 465 480 496 512 600 620 640 744 768 775 800 930 960 992 1024 1200 1240 1280 1488 1536 1550 1600 1860 1920 1984 2325 2400 2480 2560 2976 3072 3100 3200 3720 3840 3968 4650 4800 4960 5120 5952 6200 6400 7440 7680 7936 9300 9600 9920 11904 12400 12800 14880 15360 15872 18600 19200 19840 23808 24800 25600 29760 31744 37200 38400 39680 47616 49600 59520 74400 76800 79360 95232 99200 119040 148800 158720 198400 238080 297600 396800 476160 595200 793600 1190400 2380800 832679408749 1665358817498 2498038226247 3330717634996 4163397043745 4996076452494 6661435269992 8326794087490 9992152904988 12490191131235 13322870539984 16653588174980 19984305809976 20816985218725 24980382262470 25813061671219 26645741079968 33307176349960 39968611619952 41633970437450 49960764524940 51626123342438 53291482159936 62450955656175 66614352699920 77439185013657 79937223239904 83267940874900 99921529049880 103252246684876 106582964319872 124901911312350 129065308356095 133228705399840 154878370027314 159874446479808 166535881749800 199843058099760 206504493369752 213165928639744 249803822624700 258130616712190 266457410799680 309756740054628 319748892959616 333071763499600 387195925068285 399686116199520 413008986739504 426331857279488 499607645249400 516261233424380 532914821599360 619513480109256 639497785919232 645326541780475 666143526999200 774391850136570 799372232399040 826017973479008 852663714558976 999215290498800 1032522466848760 1065829643198720 1239026960218512 1278995571838464 1290653083560950 1332287053998400 1548783700273140 1598744464798080 1652035946958016 1935979625341425 1998430580997600 2065044933697520 2131659286397440 2478053920437024 2557991143676928 2581306167121900 2664574107996800 3097567400546280 3197488929596160 3304071893916032 3871959250682850 3996861161995200 4130089867395040 4263318572794880 4956107840874048 5162612334243800 5329148215993600 6195134801092560 6394977859192320 6608143787832064 7743918501365700 7993722323990400 8260179734790080 9912215681748096 10325224668487600 10658296431987200 12390269602185120 12789955718384640 13216287575664128 15487837002731400 15987444647980800 16520359469580160 19824431363496192 20650449336975200 21316592863974400 24780539204370240 26432575151328256 30975674005462800 31974889295961600 33040718939160320 39648862726992384 41300898673950400 49561078408740480 61951348010925600 63949778591923200 66081437878320640 79297725453984768 82601797347900800 99122156817480960 123902696021851200 132162875756641280 165203594695801600 198244313634961920 247805392043702400 330407189391603200 396488627269923840 495610784087404800 660814378783206400 991221568174809600 1982443136349619200
- Sum of all divisors σ(n): 6763435166854240000
- Sum of proper divisors (its aliquot sum) s(n): 4780992030504620800
- 1982443136349619200 is an abundant number, because the sum of its proper divisors (4780992030504620800) is greater than itself. Its abundance is 2798548894155001600
Bases of 1982443136349619200
- Binary: 11011100000110000110110000111011100011000011111000100000000002
- Hexadecimal: 0x1B830D877187C400
- Base-36: F27XFW6HLQTC
Squares and roots of 1982443136349619200
- 1982443136349619200 squared (19824431363496192002) is 3930080788859714862629855985008640000
- 1982443136349619200 cubed (19824431363496192003) is 7791161685174438697674243328649657414288972709888000000
-
The
square root of 1982443136349619200 is 1407992591.0137521743 -
The
cube root of 1982443136349619200 is 1256223.4987813125
Scales and comparisons
How big is 1982443136349619200?- 1,982,443,136,349,619,200 seconds is equal to 63,035,559,636 years, 35 weeks, 1 day, 5 hours, 20 minutes.
-
To count from 1 to 1,982,443,136,349,619,200 would take you about two hundred twenty billion, six hundred twenty-four million, four hundred fifty-eight thousand, seven hundred twenty-eight 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 1982443136349619200 cubic inches would be around 104685.3 feet tall.
Recreational maths with 1982443136349619200
- 1982443136349619200 backwards is 0029169436313442891
- 1982443136349619200 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 1982443136349619200's digits is 75
- More coming soon!
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