442012428000
442,012,428,000 is an even composite number composed of seven prime numbers multiplied together.
442012428000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 442012428000:
25 × 32 × 53 × 11 × 13 × 19 × 4519
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 13 × 19 × 4519)See below for interesting mathematical facts about the number 442012428000 from the Numbermatics database.
Names of 442012428000
- Cardinal: 442012428000 can be written as Four hundred forty-two billion, twelve million, four hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.42012428 × 1011
Factors of 442012428000
Divisors of 442012428000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 19 20 22 24 25 26 30 32 33 36 38 39 40 44 45 48 50 52 55 57 60 65 66 72 75 76 78 80 88 90 95 96 99 100 104 110 114 117 120 125 130 132 143 144 150 152 156 160 165 171 176 180 190 195 198 200 208 209 220 225 228 234 240 247 250 260 264 275 285 286 288 300 304 312 325 330 342 352 360 375 380 390 396 400 416 418 429 440 450 456 468 475 480 494 495 500 520 528 550 570 572 585 600 608 624 627 650 660 684 715 720 741 750 760 780 792 800 825 836 855 858 880 900 912 936 950 975 988 990 1000 1040 1045 1056 1100 1125 1140 1144 1170 1200 1235 1248 1254 1287 1300 1320 1368 1375 1425 1430 1440 1482 1500 1520 1560 1584 1625 1650 1672 1710 1716 1760 1800 1824 1872 1881 1900 1950 1976 1980 2000 2080 2090 2145 2200 2223 2250 2280 2288 2340 2375 2400 2470 2475 2508 2574 2600 2640 2717 2736 2750 2850 2860 2925 2964 3000 3040 3120 3135 3168 3250 3300 3344 3420 3432 3575 3600 3705 3744 3762 3800 3900 3952 3960 4000 4125 4180 4275 4290 4400 4446 4500 4519 4560 4576 4680 4750 4875 4940 4950 5016 5148 5200 5225 5280 5434 5472 5500 5700 5720 5850 5928 6000 6175 6240 6270 6435 6500 6600 6688 6840 6864 7125 7150 7200 7410 7524 7600 7800 7904 7920 8151 8250 8360 8550 8580 8800 8892 9000 9038 9120 9360 9405 9500 9750 9880 9900 10032 10296 10400 10450 10725 10868 11000 11115 11400 11440 11700 11856 12000 12350 12375 12540 12870 13000 13200 13557 13585 13680 13728 14250 14300 14625 14820 15048 15200 15600 15675 15840 16302 16500 16720 17100 17160 17784 17875 18000 18076 18525 18720 18810 19000 19500 19760 19800 20064 20592 20900 21375 21450 21736 22000 22230 22595 22800 22880 23400 23712 24453 24700 24750 25080 25740 26000 26125 26400 27114 27170 27360 28500 28600 29250 29640 30096 30875 31200 31350 32175 32604 33000 33440 34200 34320 35568 35750 36000 36152 37050 37620 38000 39000 39520 39600 40671 40755 41184 41800 42750 42900 43472 44000 44460 45190 45600 46800 47025 48906 49400 49500 49709 50160 51480 52000 52250 53625 54228 54340 55575 57000 57200 58500 58747 59280 60192 61750 62700 64350 65208 66000 67785 67925 68400 68640 71136 71500 72304 74100 75240 76000 78000 78375 79200 81342 81510 83600 85500 85800 85861 86944 88920 90380 92625 93600 94050 97812 98800 99000 99418 100320 102960 104500 107250 108456 108680 111150 112975 114000 114400 117000 117494 118560 122265 123500 125400 128700 130416 132000 135570 135850 136800 143000 144608 148200 149127 150480 156000 156750 160875 162684 163020 167200 171000 171600 171722 176241 177840 180760 185250 188100 195624 197600 198000 198836 203355 203775 205920 209000 214500 216912 217360 222300 225950 228000 234000 234988 235125 244530 247000 248545 250800 257400 257583 260832 271140 271700 277875 286000 293735 296400 298254 300960 313500 321750 325368 326040 338925 339625 342000 343200 343444 352482 355680 361520 370500 376200 391248 396000 397672 406710 407550 418000 429000 429305 433824 434720 444600 447381 451900 468000 469976 470250 489060 494000 497090 501600 514800 515166 528723 542280 543400 555750 564875 572000 587470 592800 596508 611325 627000 643500 646217 650736 652080 677850 679250 684000 686888 704964 723040 741000 745635 752400 772749 782496 795344 813420 815100 836000 858000 858610 881205 889200 894762 903800 939952 940500 944471 978120 988000 994180 1016775 1018875 1029600 1030332 1057446 1084560 1086800 1111500 1116193 1129750 1174940 1193016 1222650 1242725 1254000 1287000 1287915 1292434 1301472 1304160 1355700 1358500 1373776 1409928 1468675 1482000 1491270 1504800 1545498 1590688 1626840 1630200 1694625 1716000 1717220 1762410 1778400 1789524 1807600 1879904 1881000 1888942 1938651 1956240 1988360 2033550 2037750 2060664 2114892 2146525 2169120 2173600 2223000 2232386 2236905 2259500 2349880 2386032 2445300 2485450 2508000 2574000 2575830 2584868 2643615 2711400 2717000 2747552 2819856 2833413 2937350 2964000 2982540 3056625 3090996 3231085 3253680 3260400 3348579 3389250 3434440 3524820 3579048 3615200 3728175 3762000 3777884 3863745 3877302 3912480 3976720 4067100 4075500 4121328 4229784 4293050 4406025 4446000 4464772 4473810 4519000 4699760 4722355 4772064 4890600 4970900 5083875 5148000 5151660 5169736 5287230 5422800 5434000 5580965 5639712 5666826 5815953 5874700 5965080 6113250 6181992 6213625 6439575 6462170 6507360 6520800 6697158 6778500 6868880 7049640 7158096 7343375 7456350 7524000 7555768 7727490 7754604 7953440 8134200 8151000 8242656 8459568 8500239 8586100 8812050 8892000 8929544 8947620 9038000 9399520 9444710 9693255 9781200 9941800 10045737 10167750 10303320 10339472 10574460 10732625 10845600 10868000 11161930 11184525 11333652 11631906 11749400 11930160 12226500 12278123 12363984 12427250 12879150 12924340 13218075 13394316 13557000 13737760 14099280 14167065 14316192 14686750 14912700 15111536 15454980 15509208 16155425 16268400 16302000 16742895 16919136 17000478 17172200 17624100 17859088 17895240 18076000 18640875 18889420 19318725 19386510 19562400 19883600 20091474 20335500 20606640 20678944 21148920 21465250 22030125 22323860 22369050 22667304 23263812 23498800 23611775 23860320 24453000 24556246 24727968 24854500 25758300 25848680 26436150 26788632 27114000 27904825 28198560 28334130 29079765 29373500 29825400 30223072 30909960 31018416 32197875 32310850 32536800 32604000 33485790 34000956 34344400 35248200 35718176 35790480 36834369 37281750 37778840 38637450 38773020 39767200 40182948 40671000 41213280 42297840 42501195 42930500 44060250 44647720 44738100 45334608 46527624 46997600 47223550 48466275 48906000 49112492 49709000 50228685 51516600 51697360 52872300 53577264 54228000 55809650 55922625 56668260 58159530 58747000 59650800 61390615 61819920 62036832 64395750 64621700 66090375 66971580 68001912 68688800 70496400 70835325 71580960 73668738 74563500 75557680 77274900 77546040 80365896 80777125 81342000 83714475 84595680 85002390 85861000 88120500 89295440 89476200 90669216 93055248 94447100 96593625 96932550 97812000 98224984 99418000 100457370 103033200 103394720 105744600 107154528 110503107 111619300 111845250 113336520 116319060 117494000 118058875 119301600 122781230 123639840 128791500 129243400 132180750 133943160 136003824 139524125 140992800 141670650 145398825 147337476 149127000 151115360 154549800 155092080 160731792 161554250 162684000 167428950 170004780 171722000 176241000 178590880 178952400 184171845 186110496 188894200 193187250 193865100 196449968 198836000 200914740 206066400 211489200 212505975 221006214 223238600 223690500 226673040 232638120 234988000 236117750 242331375 245562460 251143425 257583000 258486800 264361500 267886320 272007648 279048250 283341300 290797650 294674952 298254000 306953075 309099600 310184160 321463584 323108500 334857900 340009560 343444000 352482000 354176625 357904800 368343690 377788400 386374500 387730200 392899936 401829480 418572375 422978400 425011950 442012428 446477200 447381000 453346080 465276240 472235500 484662750 491124920 502286850 515166000 516973600 528723000 535772640 552515535 558096500 566682600 581595300 589349904 596508000 613906150 618199200 646217000 669715800 680019120 704964000 708353250 726994125 736687380 755576800 772749000 775460400 803658960 837144750 850023900 884024856 892954400 894762000 920859225 930552480 944471000 969325500 982249840 1004573700 1030332000 1057446000 1062529875 1105031070 1116193000 1133365200 1163190600 1178699808 1227812300 1255717125 1292434000 1339431600 1360038240 1416706500 1453988250 1473374760 1534765375 1545498000 1550920800 1607317920 1674289500 1700047800 1768049712 1789524000 1841718450 1888942000 1938651000 1964499680 2009147400 2114892000 2125059750 2210062140 2232386000 2266730400 2326381200 2455624600 2511434250 2584868000 2678863200 2762577675 2833413000 2907976500 2946749520 3069530750 3090996000 3348579000 3400095600 3536099424 3683436900 3777884000 3877302000 4018294800 4250119500 4420124280 4464772000 4604296125 4652762400 4911249200 5022868500 5525155350 5666826000 5815953000 5893499040 6139061500 6697158000 6800191200 7366873800 7754604000 8036589600 8500239000 8840248560 9208592250 9822498400 10045737000 11050310700 11333652000 11631906000 12278123000 13394316000 13812888375 14733747600 17000478000 17680497120 18417184500 20091474000 22100621400 23263812000 24556246000 27625776750 29467495200 34000956000 36834369000 40182948000 44201242800 49112492000 55251553500 73668738000 88402485600 110503107000 147337476000 221006214000 442012428000
- Sum of all divisors σ(n): 1940377420800
- Sum of proper divisors (its aliquot sum) s(n): 1498364992800
- 442012428000 is an abundant number, because the sum of its proper divisors (1498364992800) is greater than itself. Its abundance is 1056352564800
Bases of 442012428000
- Binary: 1100110111010011111111001100110111000002
- Hexadecimal: 0x66E9FE66E0
- Base-36: 5N22SC80
Squares and roots of 442012428000
- 442012428000 squared (4420124280002) is 195374986506455184000000
- 442012428000 cubed (4420124280003) is 86358172156185493553026752000000000
-
The
square root of 442012428000 is 664840.1522170573 -
The
cube root of 442012428000 is 7617.4829969877
Scales and comparisons
How big is 442012428000?- 442,012,428,000 seconds is equal to 14,054 years, 32 weeks, 4 days, 14 hours.
-
To count from 1 to 442,012,428,000 would take you about twenty-eight thousand, one hundred 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 442012428000 cubic inches would be around 634.8 feet tall.
Recreational maths with 442012428000
- 442012428000 backwards is 000824210244
- The number of decimal digits it has is: 12
- The sum of 442012428000's digits is 27
- More coming soon!
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The information we have on file for 442012428000 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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