3428414818816000

Names of 3428414818816000

• Cardinal: 3428414818816000 can be written as Three quadrillion, four hundred twenty-eight trillion, four hundred fourteen billion, eight hundred eighteen million, eight hundred sixteen thousand.

Scientific notation

• Scientific notation: 3.428414818816 × 10¹⁵

Factors of 3428414818816000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 77151

Divisors of 3428414818816000

• Number of divisors d(n): 832
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 37 40 50 52 64 65 74 80 100 104 125 128 130 148 160 181 185 200 208 250 256 260 296 320 325 362 370 400 416 481 500 512 520 592 640 650 724 740 800 832 905 925 962 1000 1024 1040 1184 1280 1300 1448 1480 1600 1625 1664 1810 1850 1924 2000 2048 2080 2353 2368 2405 2560 2600 2896 2960 3200 3250 3328 3620 3700 3848 4000 4096 4160 4525 4625 4706 4736 4810 5120 5200 5792 5920 6400 6500 6656 6697 7240 7400 7696 8000 8320 9050 9250 9412 9472 9620 10240 10400 11584 11765 11840 12025 12800 13000 13312 13394 14480 14800 15392 16000 16640 18100 18500 18824 18944 19240 20480 20800 22625 23168 23530 23680 24050 25600 26000 26624 26788 28960 29600 30784 32000 33280 33485 36200 37000 37648 37888 38480 41600 45250 46336 47060 47360 48100 51200 52000 53248 53576 57920 58825 59200 60125 61568 64000 66560 66970 72400 74000 75296 75776 76913 76960 83200 87061 90500 92672 94120 94720 96200 102400 104000 107152 115840 117650 118400 120250 123136 128000 133120 133940 144800 148000 150592 151552 153826 153920 166400 167425 174122 181000 185344 188240 189440 192400 208000 214304 231680 235300 236800 240500 246272 256000 266240 267880 289600 294125 296000 301184 307652 307840 332800 334850 348244 362000 370688 376480 378880 384565 384800 416000 428608 435305 463360 470600 473600 481000 492544 512000 535760 579200 588250 592000 602368 615304 615680 665600 669700 696488 724000 741376 752960 757760 769130 769600 832000 837125 857216 870610 926720 941200 947200 962000 985088 999869 1071520 1158400 1176500 1184000 1204736 1230608 1231360 1331200 1339400 1392976 1448000 1505920 1538260 1539200 1664000 1674250 1714432 1741220 1853440 1882400 1894400 1922825 1924000 1970176 1999738 2143040 2176525 2316800 2353000 2368000 2409472 2461216 2462720 2678800 2785952 2845781 2896000 3011840 3076520 3078400 3328000 3348500 3428864 3482440 3706880 3764800 3788800 3845650 3848000 3999476 4286080 4353050 4633600 4706000 4736000 4818944 4922432 4925440 4999345 5357600 5571904 5691562 5792000 6023680 6153040 6156800 6656000 6697000 6857728 6964880 7529600 7691300 7696000 7998952 8572160 8706100 9267200 9412000 9472000 9614125 9637888 9844864 9850880 9998690 10715200 10882625 11143808 11383124 11584000 12047360 12306080 12313600 13394000 13715456 13921253 13929760 14228905 15059200 15382600 15392000 15997904 17144320 17412200 18534400 18824000 18944000 19228250 19689728 19997380 21430400 21765250 22287616 22766248 23168000 24094720 24612160 24627200 24996725 26788000 27430912 27842506 27859520 28457810 30118400 30765200 30784000 31995808 34288640 34824400 36995153 37648000 38456500 39379456 39994760 42860800 43530500 44575232 45532496 46336000 48189440 49224320 49254400 49993450 53576000 55685012 55719040 56915620 60236800 61530400 61568000 63991616 68577280 69606265 69648800 71144525 73990306 75296000 76913000 78758912 79989520 85721600 87061000 89150464 91064992 92672000 98448640 99986900 107152000 111370024 111438080 113831240 120473600 123060800 123136000 124983625 127983232 137154560 139212530 139297600 142289050 147980612 150592000 153826000 157517824 159979040 171443200 174122000 178300928 180976289 182129984 184975765 196897280 199973800 214304000 222740048 222876160 227662480 240947200 246121600 246272000 249967250 255966464 278425060 278595200 284578100 295961224 301184000 307652000 315035648 319958080 342886400 348031325 348244000 355722625 356601856 361952578 364259968 369951530 393794560 399947600 428608000 445480096 445752320 455324960 492243200 499934500 511932928 515086361 556850120 557190400 569156200 591922448 602368000 615304000 639916160 685772800 696062650 696488000 711445250 723905156 728519936 739903060 787589120 799895200 857216000 890960192 891504640 904881445 910649920 924878825 984486400 999869000 1023865856 1030172722 1113700240 1114380800 1138312400 1183844896 1204736000 1230608000 1279832320 1392125300 1392976000 1422890500 1447810312 1457039872 1479806120 1575178240 1599790400 1714432000 1740156625 1781920384 1783009280 1809762890 1821299840 1849757650 1968972800 1999738000 2047731712 2060345444 2227400480 2228761600 2276624800 2367689792 2461216000 2559664640 2575431805 2784250600 2785952000 2845781000 2895620624 2914079744 2959612240 3199580800 3428864000 3480313250 3563840768 3619525780 3642599680 3699515300 3937945600 3999476000 4095463424 4120690888 4454800960 4457523200 4524407225 4553249600 4624394125 4735379584 4922432000 5119329280 5150863610 5568501200 5571904000 5691562000 5791241248 5828159488 5919224480 6399161600 6696122693 6960626500 7127681536 7239051560 7285199360 7399030600 7875891200 7998952000 8241381776 8909601920 8915046400 9048814450 9106499200 9248788250 9470759168 9844864000 10238658560 10301727220 11137002400 11143808000 11383124000 11582482496 11656318976 11838448960 12798323200 12877159025 13392245386 13921253000 14255363072 14478103120 14570398720 14798061200 15997904000 16482763552 17819203840 18097628900 18212998400 18497576500 18941518336 19689728000 20477317120 20603454440 22274004800 22287616000 22622036125 22766248000 23164964992 23676897920 25596646400 25754318050 26784490772 27842506000 28510726144 28956206240 29140797440 29596122400 31995808000 32965527104 33480613465 35638407680 36195257800 36425996800 36995153000 37883036672 39379456000 41206908880 44548009600 44575232000 45244072250 45532496000 46329929984 47353795840 51193292800 51508636100 53568981544 55685012000 57021452288 57912412480 58281594880 59192244800 63991616000 64385795125 65931054208 66961226930 71276815360 72390515600 72851993600 73990306000 75766073344 82413817760 89096019200 90488144500 91064992000 92659859968 94707591680 102386585600 103017272200 107137963088 111370024000 115824824960 118384489600 127983232000 128771590250 131862108416 133922453860 142553630720 144781031200 145703987200 147980612000 151532146688 164827635520 167403067325 178192038400 180976289000 182129984000 185319719936 189415183360 206034544400 214275926176 222740048000 231649649920 236768979200 255966464000 257543180500 263724216832 267844907720 285107261440 289562062400 291407974400 295961224000 329655271040 334806134650 356384076800 361952578000 364259968000 370639439872 378830366720 412069088800 428551852352 445480096000 463299299840 473537958400 511932928000 515086361000 527448433664 535689815440 579124124800 591922448000 659310542080 669612269300 712768153600 723905156000 728519936000 741278879744 757660733440 824138177600 837015336625 857103704704 890960192000 926598599680 947075916800 1030172722000 1054896867328 1071379630880 1158248249600 1183844896000 1318621084160 1339224538600 1425536307200 1447810312000 1457039872000 1648276355200 1674030673250 1714207409408 1781920384000 1853197199360 1894151833600 2060345444000 2109793734656 2142759261760 2316496499200 2367689792000 2637242168320 2678449077200 2895620624000 3296552710400 3348061346500 3428414818816 3563840768000 3706394398720 3788303667200 4120690888000 4285518523520 4632992998400 4735379584000 5274484336640 5356898154400 5791241248000 6593105420800 6696122693000 6856829637632 7127681536000 8241381776000 8571037047040 9265985996800 9470759168000 10548968673280 10713796308800 11582482496000 13186210841600 13392245386000 13713659275264 16482763552000 17142074094080 18531971993600 18941518336000 21427592617600 23164964992000 26372421683200 26784490772000 27427318550528 32965527104000 34284148188160 42855185235200 46329929984000 52744843366400 53568981544000 65931054208000 68568296376320 85710370470400 92659859968000 107137963088000 131862108416000 137136592752640 171420740940800 214275926176000 263724216832000 342841481881600 428551852352000 685682963763200 857103704704000 1714207409408000 3428414818816000
• Sum of all divisors σ(n): 9515901599096256
• Sum of proper divisors (its aliquot sum) s(n): 6087486780280256
• 3428414818816000 is an abundant number, because the sum of its proper divisors (6087486780280256) is greater than itself. Its abundance is 2659071961464256

Bases of 3428414818816000

• Binary: 1100001011100010000000000111011010110001000000000000₂
• Hexadecimal: 0xC2E20076B1000
• Base-36: XR9S0W2PZ4

Squares and roots of 3428414818816000

• 3428414818816000 squared (3428414818816000²) is 11754028169877146107641856000000
• 3428414818816000 cubed (3428414818816000³) is 40297684358387515941610113371257962496000000000
• The square root of 3428414818816000 is 58552667.0512624899
• The cube root of 3428414818816000 is 150787.1922778987

Scales and comparisons

• 3,428,414,818,816,000 seconds is equal to 109,012,986 years, 23 weeks, 4 days, 15 hours, 6 minutes, 40 seconds.
• To count from 1 to 3,428,414,818,816,000 would take you about three hundred twenty-seven million, thirty-eight thousand, nine hundred fifty-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 3428414818816000 cubic inches would be around 12565.6 feet tall.

Recreational maths with 3428414818816000

• 3428414818816000 backwards is 0006188184148243
• The number of decimal digits it has is: 16
• The sum of 3428414818816000's digits is 58
• More coming soon!