135071358464000

Names of 135071358464000

• Cardinal: 135071358464000 can be written as One hundred thirty-five trillion, seventy-one billion, three hundred fifty-eight million, four hundred sixty-four thousand.

Scientific notation

• Scientific notation: 1.35071358464 × 10¹⁴

Factors of 135071358464000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 891

Divisors of 135071358464000

• Number of divisors d(n): 624
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 128 140 160 175 196 200 224 245 250 256 280 320 343 350 392 400 448 490 500 512 560 640 686 700 784 800 875 877 896 980 1000 1024 1120 1225 1280 1372 1400 1568 1600 1715 1750 1754 1792 1960 2000 2048 2240 2450 2560 2744 2800 3136 3200 3430 3500 3508 3584 3920 4000 4096 4385 4480 4900 5120 5488 5600 6125 6139 6272 6400 6860 7000 7016 7168 7840 8000 8575 8770 8960 9800 10240 10976 11200 12250 12278 12544 12800 13720 14000 14032 14336 15680 16000 17150 17540 17920 19600 20480 21925 21952 22400 24500 24556 25088 25600 27440 28000 28064 28672 30695 31360 32000 34300 35080 35840 39200 42875 42973 43850 43904 44800 49000 49112 50176 51200 54880 56000 56128 61390 62720 64000 68600 70160 71680 78400 85750 85946 87700 87808 89600 98000 98224 100352 102400 109625 109760 112000 112256 122780 125440 128000 137200 140320 143360 153475 156800 171500 171892 175400 175616 179200 196000 196448 200704 214865 219250 219520 224000 224512 245560 250880 256000 274400 280640 300811 306950 313600 343000 343784 350800 351232 358400 392000 392896 429730 438500 439040 448000 449024 491120 501760 512000 548800 561280 601622 613900 627200 686000 687568 701600 702464 716800 767375 769129 784000 785792 859460 877000 878080 896000 898048 982240 1003520 1074325 1097600 1122560 1203244 1227800 1254400 1372000 1375136 1403200 1404928 1504055 1534750 1538258 1568000 1571584 1718920 1754000 1756160 1792000 1796096 1964480 2148650 2195200 2245120 2406488 2455600 2508800 2744000 2750272 2806400 3008110 3069500 3076516 3136000 3143168 3437840 3508000 3512320 3584000 3592192 3845645 3928960 4297300 4390400 4490240 4812976 4911200 5017600 5371625 5383903 5488000 5500544 5612800 6016220 6139000 6153032 6272000 6286336 6875680 7016000 7024640 7520275 7691290 7857920 8594600 8780800 8980480 9625952 9822400 10743250 10767806 10976000 11001088 11225600 12032440 12278000 12306064 12544000 12572672 13751360 14032000 15040550 15382580 15715840 17189200 17561600 17960960 19228225 19251904 19644800 21486500 21535612 21952000 22002176 22451200 24064880 24556000 24612128 25088000 25145344 26919515 27502720 28064000 30081100 30765160 31431680 34378400 35123200 37601375 37687321 38456450 38503808 39289600 42973000 43071224 43904000 44004352 44902400 48129760 49112000 49224256 53839030 55005440 56128000 60162200 61530320 62863360 68756800 75202750 75374642 76912900 77007616 78579200 85946000 86142448 87808000 88008704 89804800 96141125 96259520 98224000 98448512 107678060 110010880 112256000 120324400 123060640 125726720 134597575 137513600 150405500 150749284 153825800 154015232 157158400 171892000 172284896 175616000 176017408 188436605 192282250 192519040 196448000 196897024 215356120 220021760 224512000 240648800 246121280 263811247 269195150 275027200 300811000 301498568 307651600 308030464 314316800 343784000 344569792 376873210 384564500 385038080 392896000 393794048 430712240 440043520 449024000 481297600 492242560 527622494 538390300 550054400 601622000 602997136 615303200 616060928 628633600 672987875 687568000 689139584 753746420 769129000 770076160 785792000 787588096 861424480 880087040 942183025 962595200 984485120 1055244988 1076780600 1100108800 1203244000 1205994272 1230606400 1232121856 1319056235 1345975750 1375136000 1378279168 1507492840 1538258000 1540152320 1571584000 1575176192 1722848960 1884366050 1925190400 1968970240 2110489976 2153561200 2200217600 2406488000 2411988544 2461212800 2638112470 2691951500 2750272000 2756558336 3014985680 3076516000 3080304640 3143168000 3150352384 3445697920 3768732100 3850380800 3937940480 4220979952 4307122400 4400435200 4710915125 4812976000 4823977088 4922425600 5276224940 5383903000 5500544000 5513116672 6029971360 6153032000 6160609280 6595281175 6891395840 7537464200 7700761600 7875880960 8441959904 8614244800 9421830250 9625952000 9647954176 9844851200 10552449880 10767806000 11001088000 11026233344 12059942720 12306064000 13190562350 13782791680 15074928400 15401523200 15751761920 16883919808 17228489600 18843660500 19251904000 19295908352 19689702400 21104899760 21535612000 22002176000 22052466688 24119885440 24612128000 26381124700 27565583360 30149856800 30803046400 32976405875 33767839616 34456979200 37687321000 38503808000 38591816704 39379404800 42209799520 43071224000 48239770880 49224256000 52762249400 55131166720 60299713600 65952811750 67535679232 68913958400 75374642000 77007616000 77183633408 78758809600 84419599040 86142448000 96479541760 98448512000 105524498800 110262333440 120599427200 131905623500 135071358464 137827916800 150749284000 154015232000 154367266816 168839198080 172284896000 192959083520 196897024000 211048997600 241198854400 263811247000 270142716928 275655833600 301498568000 337678396160 344569792000 385918167040 393794048000 422097995200 482397708800 527622494000 540285433856 551311667200 602997136000 675356792320 689139584000 771836334080 844195990400 964795417600 1055244988000 1080570867712 1205994272000 1350713584640 1378279168000 1688391980800 1929590835200 2110489976000 2411988544000 2701427169280 2756558336000 3376783961600 3859181670400 4220979952000 4823977088000 5402854338560 6753567923200 8441959904000 9647954176000 13507135846400 16883919808000 19295908352000 27014271692800 33767839616000 67535679232000 135071358464000
• Sum of all divisors σ(n): 393564745828800
• Sum of proper divisors (its aliquot sum) s(n): 258493387364800
• 135071358464000 is an abundant number, because the sum of its proper divisors (258493387364800) is greater than itself. Its abundance is 123422028900800

Bases of 135071358464000

• Binary: 11110101101100011000000010101110011000000000000₂
• Hexadecimal: 0x7AD8C0573000
• Base-36: 1BVMXBE1VK

Squares and roots of 135071358464000

• 135071358464000 squared (135071358464000²) is 18244271877310384439296000000
• 135071358464000 cubed (135071358464000³) is 2464278586654865164789797663801344000000000
• The square root of 135071358464000 is 11622020.4123035337
• The cube root of 135071358464000 is 51308.3154198537

Scales and comparisons

• 135,071,358,464,000 seconds is equal to 4,294,851 years, 20 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
• To count from 1 to 135,071,358,464,000 would take you about ten million, seven hundred thirty-seven thousand, one hundred twenty-eight 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 135071358464000 cubic inches would be around 4275.7 feet tall.

Recreational maths with 135071358464000

• 135071358464000 backwards is 000464853170531
• The number of decimal digits it has is: 15
• The sum of 135071358464000's digits is 47
• More coming soon!