442838214000

Names of 442838214000

• Cardinal: 442838214000 can be written as Four hundred forty-two billion, eight hundred thirty-eight million, two hundred fourteen thousand.

Scientific notation

• Scientific notation: 4.42838214 × 10¹¹

Factors of 442838214000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 5184

Divisors of 442838214000

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 35 36 39 40 42 45 48 50 52 53 56 60 63 65 70 72 75 78 80 84 90 91 100 104 105 106 112 117 120 125 126 130 140 144 150 156 159 168 175 180 182 195 200 208 210 212 225 234 240 250 252 260 265 273 280 300 312 315 318 325 336 350 360 364 371 375 390 400 420 424 450 455 468 477 500 504 520 525 530 546 560 585 600 624 630 636 650 689 700 720 728 742 750 780 795 819 840 848 875 900 910 936 954 975 1000 1008 1040 1050 1060 1092 1113 1125 1170 1200 1260 1272 1300 1325 1365 1378 1400 1456 1484 1500 1560 1575 1590 1625 1638 1680 1750 1800 1820 1855 1872 1908 1950 2000 2067 2100 2120 2184 2226 2250 2275 2340 2385 2520 2544 2600 2625 2650 2730 2756 2800 2925 2968 3000 3120 3150 3180 3250 3276 3339 3445 3500 3600 3640 3710 3816 3900 3975 4095 4134 4200 4240 4368 4452 4500 4550 4680 4770 4823 4875 5040 5101 5200 5250 5300 5460 5512 5565 5850 5936 6000 6201 6300 6360 6500 6552 6625 6678 6825 6890 7000 7280 7420 7632 7800 7875 7950 8190 8268 8400 8904 9000 9100 9275 9360 9540 9646 9750 10202 10335 10500 10600 10920 11024 11130 11375 11700 11925 12402 12600 12720 13000 13104 13250 13356 13650 13780 14000 14469 14625 14840 15303 15600 15750 15900 16380 16536 16695 17225 17808 18000 18200 18550 19080 19292 19500 19875 20404 20475 20670 21000 21200 21840 22260 22750 23400 23850 24115 24804 25200 25505 26000 26500 26712 27300 27560 27825 28938 29250 29680 30606 31005 31500 31800 32760 33072 33390 34125 34450 35707 36400 37100 38160 38584 39000 39750 40808 40950 41340 42000 43407 44520 45500 45909 46375 46800 47700 48230 49608 51010 51675 53000 53424 54600 55120 55650 57876 58500 59625 61212 62010 63000 63600 65520 66313 66780 68250 68900 71414 72345 74200 76515 77168 78000 79500 81616 81900 82680 83475 86125 86814 89040 91000 91818 92750 95400 96460 99216 102020 102375 103350 106000 107121 109200 111300 115752 117000 119250 120575 122424 124020 126000 127525 132626 133560 136500 137800 139125 142828 144690 148400 153030 155025 159000 163800 165360 166950 172250 173628 178535 182000 183636 185500 190800 192920 198939 204040 204750 206700 214242 217035 222600 229545 231504 234000 238500 241150 244848 248040 255050 258375 265252 267120 270353 273000 275600 278250 285656 289380 306060 310050 318000 321363 327600 331565 333900 344500 347256 357070 361725 367272 371000 382575 385840 397878 408080 409500 413400 417375 428484 434070 445200 459090 464191 477000 482300 496080 510100 516750 530504 535605 540706 546000 556500 571312 578760 596817 602875 612120 620100 637625 642726 663130 667800 689000 694512 714140 723450 734544 742000 765150 775125 795756 811059 819000 826800 834750 856968 868140 892675 918180 928382 954000 964600 994695 1020200 1033500 1061008 1071210 1081412 1085175 1113000 1147725 1157520 1193634 1205750 1224240 1240200 1275250 1285452 1326260 1335600 1351765 1378000 1392573 1428280 1446900 1530300 1550250 1591512 1606815 1622118 1638000 1657825 1669500 1713936 1736280 1785350 1808625 1836360 1856764 1892471 1912875 1929200 1989390 2040400 2067000 2142420 2162824 2170350 2226000 2295450 2320955 2387268 2411500 2433177 2480400 2550500 2570904 2652520 2678025 2703530 2785146 2856560 2893800 2984085 3060600 3100500 3183024 3213630 3244236 3315650 3339000 3472560 3514589 3570700 3617250 3672720 3713528 3784942 3825750 3978780 4055295 4134000 4177719 4284840 4325648 4340700 4463375 4590900 4641910 4774536 4823000 4866354 4973475 5101000 5141808 5305040 5356050 5407060 5425875 5570292 5677413 5738625 5787600 5968170 6121200 6201000 6427260 6488472 6631300 6678000 6758825 6962865 7029178 7141400 7234500 7427056 7569884 7651500 7957560 8034075 8110590 8289125 8355438 8569680 8681400 8926750 9181800 9283820 9462355 9549072 9646000 9732708 9946950 10202000 10543767 10712100 10814120 10851750 11140584 11354826 11477250 11604775 11936340 12165885 12402000 12854520 12976944 13262600 13390125 13517650 13925730 14058356 14282800 14469000 14920425 15139768 15303000 15915120 16068150 16221180 16578250 16710876 17032239 17362800 17572945 17853500 18363600 18567640 18924710 19465416 19893900 20276475 20888595 21087534 21424200 21628240 21703500 22281168 22709652 22954500 23209550 23872680 24331770 24602123 24867375 25709040 26525200 26780250 27035300 27851460 28116712 28387065 28938000 29840850 30279536 30606000 31631301 32136300 32442360 33156500 33421752 33794125 34064478 34814325 35145890 35707000 37135280 37849420 38930832 39787800 40170375 40552950 41777190 42175068 42848400 43407000 45419304 45909000 46419100 47311775 47745360 48663540 49204246 49734750 52718835 53560500 54070600 55702920 56233424 56774130 58023875 59681700 60829425 63262602 64272600 64884720 66313000 66843504 67588250 68128956 69628650 70291780 71414000 73806369 74602125 75698840 79575600 80340750 81105900 83554380 84350136 85161195 86814000 87864725 90838608 91818000 92838200 94623550 97327080 98408492 99469500 101382375 104442975 105437670 107121000 108141200 111405840 113548260 116047750 119363400 121658850 123010615 126525204 128545200 132626000 135176500 136257912 139257300 140583560 141935325 147612738 149204250 151397680 158156505 160681500 162211800 167108760 168700272 170322390 174071625 175729450 185676400 189247100 194654160 196816984 198939000 202764750 208885950 210875340 214242000 221419107 227096520 232095500 236558875 238726800 243317700 246021230 253050408 263594175 270353000 272515824 278514600 281167120 283870650 295225476 298408500 304147125 316313010 321363000 324423600 334217520 340644780 348143250 351458900 369031845 378494200 393633968 397878000 405529500 417771900 421750680 425805975 439323625 442838214 454193040 464191000 473117750 486635400 492042460 506100816 522214875 527188350 540706000 557029200 567741300 590450952 596817000 608294250 615053075 632626020 642726000 681289560 696286500 702917800 709676625 738063690 756988400 790782525 811059000 835543800 843501360 851611950 878647250 885676428 928382000 946235500 973270800 984084920 1044429750 1054376700 1107095535 1135482600 1180901904 1193634000 1216588500 1230106150 1265252040 1317970875 1362579120 1392573000 1405835600 1419353250 1476127380 1581565050 1622118000 1671087600 1703223900 1757294500 1771352856 1845159225 1892471000 1968169840 2088859500 2108753400 2129029875 2214191070 2270965200 2433177000 2460212300 2530504080 2635941750 2785146000 2838706500 2952254760 3075265375 3163130100 3406447800 3514589000 3542705712 3690318450 3784942000 3953912625 4177719000 4217506800 4258059750 4428382140 4866354000 4920424600 5271883500 5535477675 5677413000 5904509520 6150530750 6326260200 6812895600 7029178000 7380636900 7907825250 8355438000 8516119500 8856764280 9225796125 9840849200 10543767000 11070955350 11354826000 12301061500 12652520400 14761273800 15815650500 17032239000 17713528560 18451592250 21087534000 22141910700 24602123000 27677388375 29522547600 31631301000 34064478000 36903184500 44283821400 49204246000 55354776750 63262602000 73806369000 88567642800 110709553500 147612738000 221419107000 442838214000
• Sum of all divisors σ(n): 1939911337728
• Sum of proper divisors (its aliquot sum) s(n): 1497073123728
• 442838214000 is an abundant number, because the sum of its proper divisors (1497073123728) is greater than itself. Its abundance is 1054234909728

Bases of 442838214000

• Binary: 110011100011011001101101110010101110000₂
• Hexadecimal: 0x671B36E570
• Base-36: 5NFQFSS0

Squares and roots of 442838214000

• 442838214000 squared (442838214000²) is 196105683778709796000000
• 442838214000 cubed (442838214000³) is 86843090759812617284944344000000000
• The square root of 442838214000 is 665460.9034346045
• The cube root of 442838214000 is 7622.2238120577

Scales and comparisons

• 442,838,214,000 seconds is equal to 14,080 years, 46 weeks, 7 hours.
• To count from 1 to 442,838,214,000 would take you about twenty-eight thousand, one hundred sixty-one 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 442838214000 cubic inches would be around 635.2 feet tall.

Recreational maths with 442838214000

• 442838214000 backwards is 000412838244
• 442838214000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 442838214000's digits is 36
• More coming soon!