4028008105766400
4,028,008,105,766,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 4028008105766400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 240 divisors.
4028008105766400 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 4028008105766400:
29 × 3 × 52 × 7 × 14985149203
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 14985149203)See below for interesting mathematical facts about the number 4028008105766400 from the Numbermatics database.
Names of 4028008105766400
- Cardinal: 4028008105766400 can be written as Four quadrillion, twenty-eight trillion, eight billion, one hundred five million, seven hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.0280081057664 × 1015
Factors of 4028008105766400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 14985149220
Divisors of 4028008105766400
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 128 140 150 160 168 175 192 200 210 224 240 256 280 300 320 336 350 384 400 420 448 480 512 525 560 600 640 672 700 768 800 840 896 960 1050 1120 1200 1280 1344 1400 1536 1600 1680 1792 1920 2100 2240 2400 2560 2688 2800 3200 3360 3584 3840 4200 4480 4800 5376 5600 6400 6720 7680 8400 8960 9600 10752 11200 12800 13440 16800 17920 19200 22400 26880 33600 38400 44800 53760 67200 89600 134400 268800 14985149203 29970298406 44955447609 59940596812 74925746015 89910895218 104896044421 119881193624 149851492030 179821790436 209792088842 224777238045 239762387248 299702984060 314688133263 359643580872 374628730075 419584177684 449554476090 479524774496 524480222105 599405968120 629376266526 719287161744 749257460150 839168355368 899108952180 959049548992 1048960444210 1123886190225 1198811936240 1258752533052 1438574323488 1498514920300 1573440666315 1678336710736 1798217904360 1918099097984 2097920888420 2247772380450 2397623872480 2517505066104 2622401110525 2877148646976 2997029840600 3146881332630 3356673421472 3596435808720 3836198195968 4195841776840 4495544760900 4795247744960 5035010132208 5244802221050 5754297293952 5994059681200 6293762665260 6713346842944 7192871617440 7672396391936 7867203331575 8391683553680 8991089521800 9590495489920 10070020264416 10489604442100 11508594587904 11988119362400 12587525330520 13426693685888 14385743234880 15734406663150 16783367107360 17982179043600 19180990979840 20140040528832 20979208884200 23017189175808 23976238724800 25175050661040 26853387371776 28771486469760 31468813326300 33566734214720 35964358087200 38361981959680 40280081057664 41958417768400 47952477449600 50350101322080 53706774743552 57542972939520 62937626652600 67133468429440 71928716174400 80560162115328 83916835536800 95904954899200 100700202644160 115085945879040 125875253305200 134266936858880 143857432348800 161120324230656 167833671073600 191809909798400 201400405288320 251750506610400 268533873717760 287714864697600 335667342147200 402800810576640 503501013220800 575429729395200 671334684294400 805601621153280 1007002026441600 1342669368588800 2014004052883200 4028008105766400
- Sum of all divisors σ(n): 15207169174606464
- Sum of proper divisors (its aliquot sum) s(n): 11179161068840064
- 4028008105766400 is an abundant number, because the sum of its proper divisors (11179161068840064) is greater than itself. Its abundance is 7151152963073664
Bases of 4028008105766400
- Binary: 11100100111101110011101110000100101111101110000000002
- Hexadecimal: 0xE4F73B84BEE00
- Base-36: 13NT5DM33EO
Squares and roots of 4028008105766400
- 4028008105766400 squared (40280081057664002) is 16224849300119821848931368960000
- 4028008105766400 cubed (40280081057664003) is 65353824495720944382263471224646421970944000000
-
The
square root of 4028008105766400 is 63466590.4690522981 -
The
cube root of 4028008105766400 is 159109.7445975959
Scales and comparisons
How big is 4028008105766400?- 4,028,008,105,766,400 seconds is equal to 128,078,198 years, 16 weeks, 3 days, 2 hours, 40 minutes.
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To count from 1 to 4,028,008,105,766,400 would take you about three hundred eighty-four million, two hundred thirty-four thousand, five hundred ninety-four 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 4028008105766400 cubic inches would be around 13259.1 feet tall.
Recreational maths with 4028008105766400
- 4028008105766400 backwards is 0046675018008204
- The number of decimal digits it has is: 16
- The sum of 4028008105766400's digits is 51
- More coming soon!
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