1340575980717200400
1,340,575,980,717,200,400 is an even composite number composed of five prime numbers multiplied together.
1340575980717200400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 1340575980717200400:
24 × 33 × 52 × 31 × 4004109858773
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 31 × 4004109858773)See below for interesting mathematical facts about the number 1340575980717200400 from the Numbermatics database.
Names of 1340575980717200400
- Cardinal: 1340575980717200400 can be written as One quintillion, three hundred forty quadrillion, five hundred seventy-five trillion, nine hundred eighty billion, seven hundred seventeen million, two hundred thousand, four hundred.
Scientific notation
- Scientific notation: 1.3405759807172004 × 1018
Factors of 1340575980717200400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 4004109858814
Divisors of 1340575980717200400
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 36 40 45 48 50 54 60 62 72 75 80 90 93 100 108 120 124 135 144 150 155 180 186 200 216 225 240 248 270 279 300 310 360 372 400 432 450 465 496 540 558 600 620 675 720 744 775 837 900 930 1080 1116 1200 1240 1350 1395 1488 1550 1674 1800 1860 2160 2232 2325 2480 2700 2790 3100 3348 3600 3720 4185 4464 4650 5400 5580 6200 6696 6975 7440 8370 9300 10800 11160 12400 13392 13950 16740 18600 20925 22320 27900 33480 37200 41850 55800 66960 83700 111600 167400 334800 4004109858773 8008219717546 12012329576319 16016439435092 20020549293865 24024659152638 32032878870184 36036988728957 40041098587730 48049318305276 60061647881595 64065757740368 72073977457914 80082197175460 96098636610552 100102746469325 108110966186871 120123295763190 124127405621963 144147954915828 160164394350920 180184943644785 192197273221104 200205492938650 216221932373742 240246591526380 248254811243926 288295909831656 300308239407975 320328788701840 360369887289570 372382216865889 400410985877300 432443864747484 480493183052760 496509622487852 540554830934355 576591819663312 600616478815950 620637028109815 720739774579140 744764433731778 800821971754600 864887729494968 900924718223925 960986366105520 993019244975704 1081109661868710 1117146650597667 1201232957631900 1241274056219630 1441479549158280 1489528867463556 1601643943509200 1729775458989936 1801849436447850 1861911084329445 1986038489951408 2162219323737420 2234293301195334 2402465915263800 2482548112439260 2702774154671775 2882959098316560 2979057734927112 3103185140549075 3351439951793001 3603698872895700 3723822168658890 4324438647474840 4468586602390668 4804931830527600 4965096224878520 5405548309343550 5585733252988335 5958115469854224 6206370281098150 6702879903586002 7207397745791400 7447644337317780 8648877294949680 8937173204781336 9309555421647225 9930192449757040 10811096618687100 11171466505976670 12412740562196300 13405759807172004 14414795491582800 14895288674635560 16757199758965005 17874346409562672 18619110843294450 21622193237374200 22342933011953340 24825481124392600 26811519614344008 27928666264941675 29790577349271120 33514399517930010 37238221686588900 43244386474748400 44685866023906680 49650962248785200 53623039228688016 55857332529883350 67028799035860020 74476443373177800 83785998794825025 89371732047813360 111714665059766700 134057598071720040 148952886746355600 167571997589650050 223429330119533400 268115196143440080 335143995179300100 446858660239066800 670287990358600200 1340575980717200400
- Sum of all divisors σ(n): 4925375455080721920
- Sum of proper divisors (its aliquot sum) s(n): 3584799474363521520
- 1340575980717200400 is an abundant number, because the sum of its proper divisors (3584799474363521520) is greater than itself. Its abundance is 2244223493646321120
Bases of 1340575980717200400
- Binary: 10010100110101010111011000000011101010001000111010100000100002
- Hexadecimal: 0x129AAEC07511D410
- Base-36: A6NUIVLSWRO0
Squares and roots of 1340575980717200400
- 1340575980717200400 squared (13405759807172004002) is 1797143960075883658687160413760160000
- 1340575980717200400 cubed (13405759807172004003) is 2409208026768720977134533375457626900569752256064000000
-
The
square root of 1340575980717200400 is 1157832449.3281402243 -
The
cube root of 1340575980717200400 is 1102631.7099255405
Scales and comparisons
How big is 1340575980717200400?- 1,340,575,980,717,200,400 seconds is equal to 42,626,169,513 years, 1 week, 6 days, 9 hours.
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To count from 1 to 1,340,575,980,717,200,400 would take you about one hundred forty-nine billion, one hundred ninety-one million, five hundred ninety-three thousand, two hundred ninety-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 1340575980717200400 cubic inches would be around 91886 feet tall.
Recreational maths with 1340575980717200400
- 1340575980717200400 backwards is 0040027170895750431
- The number of decimal digits it has is: 19
- The sum of 1340575980717200400's digits is 63
- More coming soon!
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