442742221089000
442,742,221,089,000 is an even composite number composed of nine prime numbers multiplied together.
What does the number 442742221089000 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 3072 divisors.
442742221089000 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 442742221089000:
23 × 32 × 53 × 7 × 29 × 43 × 53 × 113 × 941
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 29 × 43 × 53 × 113 × 941)See below for interesting mathematical facts about the number 442742221089000 from the Numbermatics database.
Names of 442742221089000
- Cardinal: 442742221089000 can be written as Four hundred forty-two trillion, seven hundred forty-two billion, two hundred twenty-one million, eighty-nine thousand.
Scientific notation
- Scientific notation: 4.42742221089 × 1014
Factors of 442742221089000
Divisors of 442742221089000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 29 30 35 36 40 42 43 45 50 53 56 58 60 63 70 72 75 84 86 87 90 100 105 106 113 116 120 125 126 129 140 145 150 159 168 172 174 175 180 200 203 210 212 215 225 226 232 250 252 258 261 265 280 290 300 301 315 318 339 344 348 350 360 371 375 387 406 420 424 430 435 450 452 477 500 504 516 522 525 530 565 580 600 602 609 630 636 645 678 696 700 725 742 750 774 791 795 812 840 860 870 875 900 903 904 941 954 1000 1015 1017 1032 1044 1050 1060 1075 1113 1125 1130 1160 1204 1218 1247 1260 1272 1290 1305 1325 1356 1400 1450 1484 1500 1505 1537 1548 1575 1582 1590 1624 1695 1720 1740 1750 1800 1806 1827 1855 1882 1908 1935 2030 2034 2088 2100 2120 2150 2175 2226 2250 2260 2279 2373 2385 2408 2436 2494 2520 2580 2610 2625 2650 2709 2712 2823 2825 2900 2968 3000 3010 3045 3074 3096 3150 3164 3180 3225 3277 3339 3390 3480 3500 3612 3625 3654 3710 3741 3764 3816 3870 3955 3975 4060 4068 4200 4300 4350 4452 4500 4515 4520 4558 4611 4705 4746 4770 4859 4872 4988 5075 5085 5160 5220 5250 5300 5375 5418 5565 5646 5650 5800 5989 6020 6090 6148 6235 6300 6328 6360 6450 6525 6554 6587 6625 6678 6780 6837 7000 7119 7224 7250 7308 7420 7482 7525 7528 7685 7740 7875 7910 7950 8120 8136 8469 8475 8600 8700 8729 8904 9000 9030 9116 9135 9222 9275 9410 9492 9540 9675 9718 9831 9976 10150 10170 10440 10500 10600 10750 10759 10836 10875 11130 11223 11292 11300 11395 11865 11925 11978 12040 12180 12296 12470 12600 12900 13050 13108 13174 13250 13356 13545 13560 13674 13833 14115 14125 14238 14500 14577 14616 14840 14964 15050 15225 15370 15480 15750 15820 15900 15953 16125 16385 16695 16938 16950 17400 17458 17967 18060 18232 18270 18444 18550 18705 18820 18984 19080 19350 19436 19662 19761 19775 19875 20300 20340 20511 21000 21500 21518 21672 21750 22260 22446 22575 22584 22600 22790 22939 23055 23525 23730 23850 23956 24295 24360 24940 25375 25425 25800 26100 26187 26216 26348 26500 26712 27090 27289 27348 27666 27825 28230 28250 28476 29000 29154 29493 29928 29945 30100 30450 30740 31175 31500 31640 31800 31906 32250 32277 32625 32770 32935 33390 33876 33900 34013 34185 34916 35595 35934 36120 36540 36888 37100 37410 37625 37640 38425 38700 38872 39324 39522 39550 39750 40463 40600 40680 41022 41923 42345 42375 43000 43036 43500 43645 43731 44520 44892 45150 45580 45675 45878 46110 46375 47050 47460 47700 47859 47912 48375 48590 49155 49873 49880 50750 50850 52200 52374 52696 53000 53795 53901 54180 54578 54696 55332 55650 56115 56460 56500 56952 56975 58308 58986 59283 59325 59625 59890 60200 60900 61480 62350 63000 63812 64500 64554 65250 65540 65870 66091 66780 67725 67752 67800 68026 68370 68817 69165 69832 70575 71190 71868 72885 73080 74200 74820 75250 76125 76850 77400 78561 78648 79044 79100 79500 79765 80926 81867 81925 82044 83475 83846 84690 84750 86072 87000 87290 87462 89784 89835 90300 91160 91350 91756 92220 92750 93525 94100 94920 95400 95718 96750 96831 97180 98310 98805 98875 99746 101500 101700 102039 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37314978600 38854078200 39180727530 39208485750 39449543000 39779175300 40711928376 40858455250 41150871000 41185322892 41768134065 42165925818 42408258725 43534141700 43619923260 44380735875 45035319000 45558985500 45761469880 46409037850 46643723250 47050182900 47735010360 48009349500 48466581400 48567597750 49030146300 49193580121 49723969125 50720841000 50889910470 51481653615 52240970040 52277981000 54417677125 54524904075 55690845420 55972467900 56221234424 57201837350 57611219400 58812728625 58836175560 59174314500 59668762950 60583226750 61067892564 61287682875 62191631000 63248888727 64756797000 65301212550 66298625500 66829014504 67214547000 67552978500 67853213960 68642204820 69613556775 69965584875 70276543030 71009177400 72014024250 72699872100 73545219450 73925901000 76334865705 78361455060 78416971500 79558350600 81716910500 82370645784 83536268130 84331851636 84816517450 85802756025 87068283400 87239846520 88761471750 90874840125 91117971000 92818075700 93287446500 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1287041340375 1306024251000 1392271135500 1405530860600 1470904389000 1475807403630 1526697314100 1581222218175 1670725362600 1696330349000 1716055120500 1756913575750 1770968884356 1908371642625 1959036376500 1967743204840 2059266144600 2088406703250 2108296290900 2180996163000 2213711105445 2459679006050 2529955549080 2544495523500 2574082680750 2635370363625 2784542271000 2951614807260 3053394628200 3162444436350 3432110241000 3513827151500 3541937768712 3689518509075 3816743285250 3918072753000 4176813406500 4216592581800 4427422210890 4919358012100 5088991047000 5148165361500 5270740727250 5903229614520 6149197515125 6324888872700 7027654303000 7379037018150 7633486570500 7906111090875 8353626813000 8854844421780 9838716024200 10296330723000 10541481454500 11068555527225 12298395030250 12649777745400 14758074036300 15266973141000 15812222181750 17709688843560 18447592545375 21082962909000 22137111054450 24596790060500 29516148072600 31624444363500 36895185090750 44274222108900 49193580121000 55342777636125 63248888727000 73790370181500 88548444217800 110685555272250 147580740363000 221371110544500 442742221089000
- Sum of all divisors σ(n): 1862827505510400
- Sum of proper divisors (its aliquot sum) s(n): 1420085284421400
- 442742221089000 is an abundant number, because the sum of its proper divisors (1420085284421400) is greater than itself. Its abundance is 977343063332400
Bases of 442742221089000
- Binary: 11001001010101011111101001101000010101000111010002
- Hexadecimal: 0x192ABF4D0A8E8
- Base-36: 4CXSYV65M0
Squares and roots of 442742221089000
- 442742221089000 squared (4427422210890002) is 196020674334820956345921000000
- 442742221089000 cubed (4427422210890003) is 86786628734362167865736172945327969000000000
-
The
square root of 442742221089000 is 21041440.5659165837 -
The
cube root of 442742221089000 is 76216.7302224827
Scales and comparisons
How big is 442742221089000?- 442,742,221,089,000 seconds is equal to 14,077,833 years, 7 weeks, 1 day, 14 hours, 30 minutes.
-
To count from 1 to 442,742,221,089,000 would take you about thirty-five million, one hundred ninety-four thousand, five hundred eighty-two 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 442742221089000 cubic inches would be around 6351.4 feet tall.
Recreational maths with 442742221089000
- 442742221089000 backwards is 000980122247244
- 442742221089000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 442742221089000's digits is 45
- More coming soon!
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"Number 442742221089000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 442742221089000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/442742221089000/
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The information we have on file for 442742221089000 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!
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