442675424890271664
442,675,424,890,271,664 is an even composite number composed of six prime numbers multiplied together.
What does the number 442675424890271664 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
442675424890271664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 442675424890271664:
24 × 32 × 7 × 13 × 97 × 348264970553
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 97 × 348264970553)See below for interesting mathematical facts about the number 442675424890271664 from the Numbermatics database.
Names of 442675424890271664
- Cardinal: 442675424890271664 can be written as Four hundred forty-two quadrillion, six hundred seventy-five trillion, four hundred twenty-four billion, eight hundred ninety million, two hundred seventy-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.42675424890271664 × 1017
Factors of 442675424890271664
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 348264970675
Divisors of 442675424890271664
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 97 104 112 117 126 144 156 168 182 194 208 234 252 273 291 312 336 364 388 468 504 546 582 624 679 728 776 819 873 936 1008 1092 1164 1261 1358 1456 1552 1638 1746 1872 2037 2184 2328 2522 2716 3276 3492 3783 4074 4368 4656 5044 5432 6111 6552 6984 7566 8148 8827 10088 10864 11349 12222 13104 13968 15132 16296 17654 20176 22698 24444 26481 30264 32592 35308 45396 48888 52962 60528 70616 79443 90792 97776 105924 141232 158886 181584 211848 317772 423696 635544 1271088 348264970553 696529941106 1044794911659 1393059882212 2089589823318 2437854793871 2786119764424 3134384734977 4179179646636 4527444617189 4875709587742 5572239528848 6268769469954 7313564381613 8358359293272 9054889234378 9751419175484 12537538939908 13582333851567 14627128763226 16716718586544 18109778468756 19502838350968 21940693144839 25075077879816 27164667703134 29254257526452 31692112320323 33781702143641 36219556937512 39005676701936 40747001554701 43881386289678 50150155759632 54329335406268 58508515052904 63384224640646 67563404287282 72439113875024 81494003109402 87762772579356 95076336960969 101345106430923 108658670812536 117017030105808 126768449281292 135126808574564 162988006218804 175525545158712 190152673921938 202690212861846 217317341625072 236471915005487 253536898562584 270253617149128 285229010882907 304035319292769 325976012437608 351051090317424 380305347843876 405380425723692 439162127867333 472943830010974 507073797125168 540507234298256 570458021765814 608070638585538 651952024875216 709415745016461 760610695687752 810760851447384 878324255734666 945887660021948 1140916043531628 1216141277171076 1317486383601999 1418831490032922 1521221391375504 1621521702894768 1756648511469332 1891775320043896 2128247235049383 2281832087063256 2432282554342152 2634972767203998 2837662980065844 3074134895071331 3513297022938664 3783550640087792 3952459150805997 4256494470098766 4563664174126512 4864565108684304 5269945534407996 5675325960131688 6148269790142662 7026594045877328 7904918301611994 8512988940197532 9222404685213993 10539891068815992 11350651920263376 12296539580285324 15809836603223988 17025977880395064 18444809370427986 21079782137631984 24593079160570648 27667214055641979 31619673206447976 34051955760790128 36889618740855972 49186158321141296 55334428111283958 63239346412895952 73779237481711944 110668856222567916 147558474963423888 221337712445135832 442675424890271664
- Sum of all divisors σ(n): 1540490195670683712
- Sum of proper divisors (its aliquot sum) s(n): 1097814770780412048
- 442675424890271664 is an abundant number, because the sum of its proper divisors (1097814770780412048) is greater than itself. Its abundance is 655139345890140384
Bases of 442675424890271664
- Binary: 110001001001011001011110100000110110110000100110111101100002
- Hexadecimal: 0x624B2F41B6137B0
- Base-36: 3D2RCAQUWEK0
Squares and roots of 442675424890271664
- 442675424890271664 squared (4426754248902716642) is 195961531801782549465354707721328896
- 442675424890271664 cubed (4426754248902716643) is 86747354352502573037538737029618988873553028533202944
-
The
square root of 442675424890271664 is 665338579.1386755773 -
The
cube root of 442675424890271664 is 762128.9710871899
Scales and comparisons
How big is 442675424890271664?- 442,675,424,890,271,664 seconds is equal to 14,075,709,226 years, 26 weeks, 6 days, 5 hours, 14 minutes, 24 seconds.
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To count from 1 to 442,675,424,890,271,664 would take you about forty-two billion, two hundred twenty-seven million, one hundred twenty-seven thousand, six hundred seventy-nine 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 442675424890271664 cubic inches would be around 63510.7 feet tall.
Recreational maths with 442675424890271664
- 442675424890271664 backwards is 466172098424576244
- The number of decimal digits it has is: 18
- The sum of 442675424890271664's digits is 81
- More coming soon!
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