493942107299200
493,942,107,299,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 493942107299200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
493942107299200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 493942107299200:
27 × 52 × 7 × 137 × 307 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 137 × 307 × 524287)See below for interesting mathematical facts about the number 493942107299200 from the Numbermatics database.
Names of 493942107299200
- Cardinal: 493942107299200 can be written as Four hundred ninety-three trillion, nine hundred forty-two billion, one hundred seven million, two hundred ninety-nine thousand, two hundred.
Scientific notation
- Scientific notation: 4.939421072992 × 1014
Factors of 493942107299200
Divisors of 493942107299200
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 137 140 160 175 200 224 274 280 307 320 350 400 448 548 560 614 640 685 700 800 896 959 1096 1120 1228 1370 1400 1535 1600 1918 2149 2192 2240 2456 2740 2800 3070 3200 3425 3836 4298 4384 4480 4795 4912 5480 5600 6140 6850 7672 7675 8596 8768 9590 9824 10745 10960 11200 12280 13700 15344 15350 17192 17536 19180 19648 21490 21920 22400 23975 24560 27400 30688 30700 34384 38360 39296 42059 42980 43840 47950 49120 53725 54800 61376 61400 68768 76720 84118 85960 87680 95900 98240 107450 109600 122752 122800 137536 153440 168236 171920 191800 196480 210295 214900 219200 245600 275072 294413 306880 336472 343840 383600 420590 429800 438400 491200 524287 588826 613760 672944 687680 767200 841180 859600 982400 1048574 1051475 1177652 1345888 1375360 1472065 1534400 1682360 1719200 2097148 2102950 2355304 2621435 2691776 2944130 3068800 3364720 3438400 3670009 4194296 4205900 4710608 5242870 5383552 5888260 6729440 6876800 7340018 7360325 8388592 8411800 9421216 10485740 11776520 13107175 13458880 14680036 14720650 16777184 16823600 18350045 18842432 20971480 23553040 26214350 26917760 29360072 29441300 33554368 33647200 36700090 37684864 41942960 47106080 52428700 58720144 58882600 67108736 67294400 71827319 73400180 83885920 91750225 94212160 104857400 117440288 117765200 134588800 143654638 146800360 160956109 167771840 183500450 188424320 209714800 234880576 235530400 287309276 293600720 321912218 335543680 359136595 367000900 419429600 469761152 471060800 502791233 574618552 587201440 643824436 718273190 734001800 804780545 838859200 942121600 1005582466 1126692763 1149237104 1174402880 1287648872 1436546380 1468003600 1609561090 1677718400 1795682975 2011164932 2253385526 2298474208 2348805760 2513956165 2575297744 2873092760 2936007200 3219122180 3591365950 4022329864 4023902725 4506771052 4596948416 5027912330 5150595488 5633463815 5746185520 5872014400 6438244360 7182731900 8044659728 8047805450 9013542104 9193896832 10055824660 10301190976 11266927630 11492371040 11744028800 12569780825 12876488720 14365463800 16089319456 16095610900 18027084208 20111649320 20602381952 22050986933 22533855260 22984742080 25139561650 25752977440 28167319075 28730927600 32178638912 32191221800 36054168416 40223298640 44101973866 45067710520 45969484160 50279123300 51505954880 56334638150 57461855200 64357277824 64382443600 72108336832 80446597280 88203947732 90135421040 100558246600 103011909760 110254934665 112669276300 114923710400 128764887200 144216673664 154356908531 160893194560 176407895464 180270842080 201116493200 220509869330 225338552600 229847420800 257529774400 308713817062 321786389120 352815790928 360541684160 402232986400 441019738660 450677105200 515059548800 551274673325 617427634124 705631581856 721083368320 771784542655 804465972800 882039477320 901354210400 1102549346650 1234855268248 1411263163712 1543569085310 1608931945600 1764078954640 1802708420800 2205098693300 2469710536496 2822526327424 3087138170620 3528157909280 3605416841600 3858922713275 4410197386600 4939421072992 6174276341240 7056315818560 7717845426550 8820394773200 9878842145984 12348552682480 14112631637120 15435690853100 17640789546400 19757684291968 24697105364960 30871381706200 35281579092800 49394210729920 61742763412400 70563158185600 98788421459840 123485526824800 246971053649600 493942107299200
- Sum of all divisors σ(n): 1409261481492480
- Sum of proper divisors (its aliquot sum) s(n): 915319374193280
- 493942107299200 is an abundant number, because the sum of its proper divisors (915319374193280) is greater than itself. Its abundance is 421377266894080
Bases of 493942107299200
- Binary: 11100000100111100110110111101100001011101100000002
- Hexadecimal: 0x1C13CDBD85D80
- Base-36: 4V35VDH8CG
Squares and roots of 493942107299200
- 493942107299200 squared (4939421072992002) is 243978805363174405918320640000
- 493942107299200 cubed (4939421072992003) is 120511405257427724832430349073950015488000000
-
The
square root of 493942107299200 is 22224808.3748589383 -
The
cube root of 493942107299200 is 79048.2057601713
Scales and comparisons
How big is 493942107299200?- 493,942,107,299,200 seconds is equal to 15,705,831 years, 7 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 493,942,107,299,200 would take you about thirty-nine million, two hundred sixty-four thousand, five hundred seventy-seven 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 493942107299200 cubic inches would be around 6587.4 feet tall.
Recreational maths with 493942107299200
- 493942107299200 backwards is 002992701249394
- The number of decimal digits it has is: 15
- The sum of 493942107299200's digits is 61
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 493942107299200 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
APA style:
Numbermatics. (2024). Number 493942107299200 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/493942107299200/
Chicago style:
Numbermatics. 2024. "Number 493942107299200 - Facts about the integer". https://numbermatics.com/n/493942107299200/
The information we have on file for 493942107299200 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!
Keywords: Divisors of 493942107299200, math, Factors of 493942107299200, curriculum, school, college, exams, university, Prime factorization of 493942107299200, STEM, science, technology, engineering, physics, economics, calculator, four hundred ninety-three trillion, nine hundred forty-two billion, one hundred seven million, two hundred ninety-nine thousand, two hundred.