442114848000

Names of 442114848000

• Cardinal: 442114848000 can be written as Four hundred forty-two billion, one hundred fourteen million, eight hundred forty-eight thousand.

Scientific notation

• Scientific notation: 4.42114848 × 10¹¹

Factors of 442114848000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 76

Divisors of 442114848000

• Number of divisors d(n): 1620
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 59 60 63 64 70 72 75 80 81 84 90 96 98 100 105 108 112 118 120 125 126 128 135 140 144 147 150 160 162 168 175 177 180 189 192 196 200 210 216 224 225 236 240 245 250 252 256 270 280 288 294 295 300 315 320 324 336 350 354 360 375 378 384 392 400 405 413 420 432 441 448 450 472 480 490 500 504 525 531 540 560 567 576 588 590 600 630 640 648 672 675 700 708 720 735 750 756 768 784 800 810 826 840 864 875 882 885 896 900 944 945 960 980 1000 1008 1050 1062 1080 1120 1125 1134 1152 1176 1180 1200 1225 1239 1260 1280 1296 1323 1344 1350 1400 1416 1440 1470 1475 1500 1512 1568 1575 1593 1600 1620 1652 1680 1728 1750 1764 1770 1792 1800 1888 1890 1920 1960 2000 2016 2025 2065 2100 2124 2160 2205 2240 2250 2268 2304 2352 2360 2400 2450 2478 2520 2592 2625 2646 2655 2688 2700 2800 2832 2835 2880 2891 2940 2950 3000 3024 3136 3150 3186 3200 3240 3304 3360 3375 3456 3481 3500 3528 3540 3600 3675 3717 3776 3780 3840 3920 3969 4000 4032 4050 4130 4200 4248 4320 4410 4425 4480 4500 4536 4704 4720 4725 4779 4800 4900 4956 5040 5184 5250 5292 5310 5376 5400 5600 5664 5670 5760 5782 5880 5900 6000 6048 6125 6195 6272 6300 6372 6400 6480 6608 6615 6720 6750 6912 6962 7000 7056 7080 7200 7350 7375 7434 7552 7560 7840 7875 7938 7965 8000 8064 8100 8260 8400 8496 8640 8673 8820 8850 8960 9000 9072 9408 9440 9450 9558 9600 9800 9912 10080 10125 10325 10368 10443 10500 10584 10620 10800 11025 11151 11200 11328 11340 11520 11564 11760 11800 12000 12096 12250 12390 12544 12600 12744 12960 13216 13230 13275 13440 13500 13924 14000 14112 14160 14175 14400 14455 14700 14750 14868 15104 15120 15680 15750 15876 15930 16000 16128 16200 16520 16800 16992 17280 17346 17405 17640 17700 18000 18144 18375 18585 18816 18880 18900 19116 19200 19600 19824 19845 20160 20250 20650 20736 20886 21000 21168 21240 21600 22050 22125 22302 22400 22656 22680 23128 23520 23600 23625 23895 24000 24192 24367 24500 24780 25200 25488 25920 26019 26432 26460 26550 26880 27000 27848 28000 28224 28320 28350 28800 28910 29400 29500 29736 30240 30975 31329 31360 31500 31752 31860 32000 32400 33040 33075 33453 33600 33984 34560 34692 34810 35280 35400 36000 36288 36750 37170 37632 37760 37800 38232 39200 39648 39690 39825 40320 40500 41300 41772 42000 42336 42480 43200 43365 44100 44250 44604 44800 45312 45360 46256 47040 47200 47250 47790 48000 48384 48734 49000 49560 50400 50976 51625 51840 52038 52215 52864 52920 53100 54000 55125 55696 55755 56000 56448 56640 56700 57600 57820 58800 59000 59472 60480 61950 62658 62720 63000 63504 63720 64800 66080 66150 66375 66906 67200 67968 69384 69620 70560 70800 70875 72000 72275 72576 73101 73500 74340 75520 75600 76464 78057 78400 79296 79380 79650 80640 81000 82600 83544 84000 84672 84960 86400 86730 87025 88200 88500 89208 90720 92512 92925 93987 94080 94400 94500 95580 96000 97468 98000 99120 99225 100800 101952 103250 103680 104076 104430 105728 105840 106200 108000 110250 111392 111510 112000 112896 113280 113400 115640 117600 118000 118944 119475 120960 121835 123900 125316 126000 127008 127440 129600 130095 132160 132300 132750 133812 134400 135936 138768 139240 141120 141600 141750 144000 144550 145152 146202 147000 148680 151200 152928 154875 156114 156645 156800 158592 158760 159300 162000 165200 165375 167088 167265 168000 169344 169920 170569 172800 173460 174050 176400 177000 178416 181440 185024 185850 187974 188160 188800 189000 191160 194936 196000 198240 198450 199125 201600 203904 206500 208152 208860 211680 212400 216000 216825 219303 220500 222784 223020 224000 226560 226800 231280 234171 235200 236000 237888 238950 241920 243670 247800 250632 252000 254016 254880 259200 260190 261075 264320 264600 265500 267624 277536 278480 278775 281961 282240 283200 283500 288000 289100 292404 294000 297360 302400 305856 309750 312228 313290 313600 317184 317520 318600 324000 330400 330750 334176 334530 336000 338688 339840 341138 346920 348100 352800 354000 356832 361375 362880 365505 370048 371700 375948 377600 378000 382320 389872 390285 392000 396480 396900 398250 403200 407808 413000 416304 417720 423360 424800 432000 433650 435125 438606 441000 445568 446040 453600 462560 464625 468342 469935 470400 472000 475776 477900 487340 495600 496125 501264 504000 508032 509760 511707 518400 520380 522150 528640 529200 531000 535248 555072 556960 557550 563922 564480 566400 567000 578200 584808 588000 594720 597375 604800 609175 611712 619500 624456 626580 635040 637200 648000 650475 657909 660800 661500 668352 669060 672000 679680 682276 693840 696200 705600 708000 713664 722750 725760 731010 740096 743400 751896 756000 764640 779744 780570 783225 784000 792960 793800 796500 826000 832608 835440 836325 846720 849600 852845 864000 867300 870250 877212 882000 891136 892080 907200 925120 929250 936684 939870 940800 944000 951552 955800 974680 991200 992250 1002528 1008000 1016064 1019520 1023414 1040760 1044300 1058400 1062000 1070496 1084125 1096515 1110144 1113920 1115100 1127844 1132800 1134000 1156400 1169616 1170855 1176000 1189440 1194750 1209600 1218350 1223424 1239000 1248912 1253160 1270080 1274400 1296000 1300950 1305375 1315818 1321600 1323000 1336704 1338120 1364552 1387680 1392400 1393875 1409805 1411200 1416000 1427328 1445500 1462020 1486800 1503792 1512000 1529280 1535121 1559488 1561140 1566450 1568000 1585920 1587600 1593000 1652000 1665216 1670880 1672650 1693440 1699200 1705690 1734600 1740500 1754424 1764000 1784160 1814400 1827525 1850240 1858500 1873368 1879740 1888000 1911600 1949360 1951425 1973727 1982400 1984500 2005056 2016000 2039040 2046828 2081520 2088600 2116800 2124000 2140992 2168250 2193030 2220288 2227840 2230200 2255688 2268000 2312800 2339232 2341710 2349675 2352000 2378880 2389500 2436700 2478000 2497824 2506320 2540160 2548800 2558535 2592000 2601900 2610750 2631636 2643200 2646000 2673408 2676240 2729104 2775360 2784800 2787750 2819610 2822400 2832000 2854656 2891000 2924040 2973600 3007584 3024000 3045875 3058560 3070242 3118976 3122280 3132900 3175200 3186000 3252375 3289545 3304000 3330432 3341760 3345300 3398400 3411380 3469200 3481000 3508848 3528000 3568320 3628800 3655050 3700480 3717000 3746736 3759480 3823200 3898720 3902850 3916125 3947454 3964800 3969000 4010112 4093656 4163040 4177200 4181625 4233600 4248000 4264225 4281984 4336500 4386060 4455680 4460400 4511376 4536000 4605363 4625600 4678464 4683420 4699350 4704000 4757760 4779000 4873400 4956000 4995648 5012640 5080320 5097600 5117070 5203800 5221500 5263272 5292000 5352480 5458208 5482575 5550720 5569600 5575500 5639220 5664000 5782000 5848080 5854275 5947200 6015168 6048000 6091750 6117120 6140484 6237952 6244560 6265800 6350400 6372000 6504750 6579090 6608000 6660864 6683520 6690600 6822760 6938400 6962000 7017696 7049025 7056000 7136640 7310100 7434000 7493472 7518960 7646400 7675605 7797440 7805700 7832250 7894908 7929600 7938000 8020224 8187312 8326080 8354400 8363250 8467200 8496000 8528450 8563968 8673000 8772120 8920800 9022752 9072000 9137625 9210726 9251200 9356928 9366840 9398700 9558000 9746800 9757125 9868635 9912000 9991296 10025280 10195200 10234140 10407600 10443000 10526544 10584000 10704960 10916416 10965150 11101440 11139200 11151000 11278440 11564000 11696160 11708550 11748375 11894400 12030336 12183500 12280968 12489120 12531600 12700800 12744000 12792675 13009500 13158180 13216000 13367040 13381200 13645520 13816089 13876800 13924000 14035392 14098050 14112000 14273280 14620200 14868000 14986944 15037920 15292800 15351210 15594880 15611400 15664500 15789816 15876000 16374624 16447725 16652160 16708800 16726500 16992000 17056900 17346000 17544240 17841600 18045504 18144000 18275250 18421452 18502400 18713856 18733680 18797400 19116000 19493600 19514250 19737270 19824000 19982592 20050560 20468280 20815200 20886000 21053088 21168000 21321125 21409920 21832832 21930300 22278400 22302000 22556880 23026815 23128000 23392320 23417100 23496750 23788800 24060672 24367000 24561936 24978240 25063200 25401600 25488000 25585350 26019000 26316360 26762400 27291040 27412875 27632178 27753600 27848000 28070784 28196100 29240400 29271375 29736000 29973888 30075840 30585600 30702420 31189760 31222800 31329000 31579632 31752000 32749248 32895450 33304320 33417600 33453000 34113800 34692000 35088480 35245125 35683200 36091008 36550500 36842904 37467360 37594800 38232000 38378025 38987200 39028500 39474540 39648000 40101120 40936560 41630400 41772000 42106176 42336000 42642250 42819840 43665664 43860600 44604000 45113760 46053630 46256000 46784640 46834200 46993500 48734000 49123872 49343175 49956480 50126400 50976000 51170700 52038000 52632720 53524800 54582080 54825750 55264356 55507200 55696000 56141568 56392200 58480800 58542750 59472000 59947776 60151680 61404840 62445600 62658000 63159264 63504000 63963375 65498496 65790900 66835200 66906000 68227600 69080445 69384000 70176960 70490250 71366400 72182016 73101000 73685808 74934720 75189600 76464000 76756050 77974400 78057000 78949080 81873120 82238625 83260800 83544000 84212352 85284500 87721200 89208000 90227520 92107260 92512000 93569280 93668400 93987000 97468000 98247744 98686350 99912960 100252800 102341400 104076000 105265440 107049600 109164160 109651500 110528712 111392000 112784400 115134075 116961600 117085500 118944000 120303360 122809680 124891200 125316000 126318528 127008000 127926750 130996992 131581800 133812000 136455200 138160890 138768000 140353920 140980500 146202000 147371616 149869440 150379200 152928000 153512100 155948800 156114000 157898160 163746240 164477250 166521600 167088000 168424704 170569000 175442400 178416000 180455040 184214520 187336800 187974000 191890125 194936000 196495488 197372700 200505600 204682800 208152000 210530880 214099200 218328320 219303000 221057424 225568800 230268150 233923200 234171000 245619360 246715875 249782400 250632000 252637056 255853500 263163600 267624000 272910400 276321780 277536000 280707840 281961000 292404000 294743232 299738880 300758400 307024200 312228000 315796320 327492480 328954500 334176000 341138000 345402225 350884800 356832000 360910080 368429040 374673600 375948000 383780250 389872000 392990976 394745400 409365600 416304000 421061760 438606000 442114848 451137600 460536300 467846400 468342000 491238720 493431750 499564800 501264000 505274112 511707000 526327200 535248000 545820800 552643560 563922000 575670375 584808000 589486464 601516800 614048400 624456000 631592640 654984960 657909000 682276000 690804450 701769600 736858080 749347200 751896000 767560500 779744000 789490800 818731200 832608000 842123520 877212000 884229696 902275200 921072600 936684000 982477440 986863500 1002528000 1023414000 1052654400 1070496000 1091641600 1105287120 1127844000 1151340750 1169616000 1178972928 1228096800 1248912000 1263185280 1315818000 1364552000 1381608900 1403539200 1473716160 1498694400 1503792000 1535121000 1578981600 1637462400 1727011125 1754424000 1768459392 1804550400 1842145200 1873368000 1964954880 1973727000 2046828000 2105308800 2210574240 2255688000 2302681500 2339232000 2456193600 2497824000 2526370560 2631636000 2729104000 2763217800 2947432320 3007584000 3070242000 3157963200 3274924800 3454022250 3508848000 3536918784 3684290400 3746736000 3947454000 4093656000 4210617600 4421148480 4511376000 4605363000 4912387200 5263272000 5458208000 5526435600 5894864640 6140484000 6315926400 6908044500 7017696000 7368580800 7493472000 7894908000 8187312000 8842296960 9022752000 9210726000 9824774400 10526544000 11052871200 12280968000 12631852800 13816089000 14737161600 15789816000 16374624000 17684593920 18421452000 21053088000 22105742400 24561936000 27632178000 29474323200 31579632000 36842904000 44211484800 49123872000 55264356000 63159264000 73685808000 88422969600 110528712000 147371616000 221057424000 442114848000
• Sum of all divisors σ(n): 1946846233332
• Sum of proper divisors (its aliquot sum) s(n): 1504731385332
• 442114848000 is an abundant number, because the sum of its proper divisors (1504731385332) is greater than itself. Its abundance is 1062616537332

Bases of 442114848000

• Binary: 110011011110000000110010011010100000000₂
• Hexadecimal: 0x66F0193500
• Base-36: 5N3RRK00

Squares and roots of 442114848000

• 442114848000 squared (442114848000²) is 195465538822063104000000
• 442114848000 cubed (442114848000³) is 86418216985554528271368192000000000
• The square root of 442114848000 is 664917.1737893375
• The cube root of 442114848000 is 7618.0713080151

Scales and comparisons

• 442,114,848,000 seconds is equal to 14,057 years, 46 weeks.
• To count from 1 to 442,114,848,000 would take you about twenty-eight thousand, one hundred fifteen 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 442114848000 cubic inches would be around 634.8 feet tall.

Recreational maths with 442114848000

• 442114848000 backwards is 000848411244
• 442114848000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 442114848000's digits is 36
• More coming soon!