4148011008000

Names of 4148011008000

• Cardinal: 4148011008000 can be written as Four trillion, one hundred forty-eight billion, eleven million, eight thousand.

Scientific notation

• Scientific notation: 4.148011008 × 10¹²

Factors of 4148011008000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 580

Divisors of 4148011008000

• Number of divisors d(n): 816
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 127 128 144 150 160 180 192 200 225 240 250 254 256 288 300 320 360 375 381 384 400 443 450 480 500 508 512 576 600 635 640 720 750 762 768 800 886 900 960 1000 1016 1024 1125 1143 1152 1200 1270 1280 1329 1440 1500 1524 1536 1600 1772 1800 1905 1920 2000 2032 2048 2215 2250 2286 2304 2400 2540 2560 2658 2880 3000 3048 3072 3175 3200 3544 3600 3810 3840 3987 4000 4064 4096 4430 4500 4572 4608 4800 5080 5120 5316 5715 5760 6000 6096 6144 6350 6400 6645 7088 7200 7620 7680 7974 8000 8128 8192 8860 9000 9144 9216 9525 9600 10160 10240 10632 11075 11430 11520 12000 12192 12288 12700 12800 13290 14176 14400 15240 15360 15875 15948 16000 16256 16384 17720 18000 18288 18432 19050 19200 19935 20320 20480 21264 22150 22860 23040 24000 24384 24576 25400 25600 26580 28352 28575 28800 30480 30720 31750 31896 32000 32512 32768 33225 35440 36000 36576 36864 38100 38400 39870 40640 40960 42528 44300 45720 46080 47625 48000 48768 49152 50800 51200 53160 55375 56261 56704 57150 57600 60960 61440 63500 63792 64000 65024 65536 66450 70880 72000 73152 73728 76200 76800 79740 81280 81920 85056 88600 91440 92160 95250 96000 97536 98304 99675 101600 102400 106320 110750 112522 113408 114300 115200 121920 122880 127000 127584 128000 130048 132900 141760 142875 144000 146304 147456 152400 153600 159480 162560 163840 166125 168783 170112 177200 182880 184320 190500 192000 195072 196608 199350 203200 204800 212640 221500 225044 226816 228600 230400 243840 245760 254000 255168 256000 260096 265800 281305 283520 285750 288000 292608 294912 304800 307200 318960 325120 327680 332250 337566 340224 354400 365760 368640 381000 384000 390144 398700 406400 409600 425280 443000 450088 453632 457200 460800 487680 491520 498375 506349 508000 510336 512000 520192 531600 562610 567040 571500 576000 585216 589824 609600 614400 637920 650240 664500 675132 680448 708800 731520 737280 762000 768000 780288 797400 812800 819200 843915 850560 886000 900176 907264 914400 921600 975360 983040 996750 1012698 1016000 1020672 1024000 1040384 1063200 1125220 1134080 1143000 1152000 1170432 1219200 1228800 1275840 1300480 1329000 1350264 1360896 1406525 1417600 1463040 1474560 1524000 1536000 1560576 1594800 1625600 1638400 1687830 1701120 1772000 1800352 1814528 1828800 1843200 1950720 1993500 2025396 2032000 2041344 2048000 2080768 2126400 2250440 2268160 2286000 2304000 2340864 2438400 2457600 2531745 2551680 2600960 2658000 2700528 2721792 2813050 2835200 2926080 2949120 3048000 3072000 3121152 3189600 3251200 3375660 3402240 3544000 3600704 3629056 3657600 3686400 3901440 3987000 4050792 4064000 4082688 4096000 4161536 4219575 4252800 4500880 4536320 4572000 4608000 4681728 4876800 4915200 5063490 5103360 5201920 5316000 5401056 5443584 5626100 5670400 5852160 6096000 6144000 6242304 6379200 6502400 6751320 6804480 7032625 7088000 7201408 7258112 7315200 7372800 7802880 7974000 8101584 8128000 8165376 8192000 8323072 8439150 8505600 9001760 9072640 9144000 9216000 9363456 9753600 10126980 10206720 10403840 10632000 10802112 10887168 11252200 11340800 11704320 12192000 12288000 12484608 12658725 12758400 13004800 13502640 13608960 14065250 14176000 14402816 14516224 14630400 14745600 15605760 15948000 16203168 16256000 16330752 16878300 17011200 18003520 18145280 18288000 18432000 18726912 19507200 20253960 20413440 20807680 21097875 21264000 21604224 21774336 22504400 22681600 23408640 24384000 24576000 24969216 25317450 25516800 26009600 27005280 27217920 28130500 28352000 28805632 29032448 29260800 31211520 31896000 32406336 32512000 32661504 33756600 34022400 36007040 36290560 36576000 36864000 37453824 39014400 40507920 40826880 41615360 42195750 42528000 43208448 43548672 45008800 45363200 46817280 48768000 50634900 51033600 52019200 54010560 54435840 56261000 56704000 57611264 58521600 62423040 63293625 63792000 64812672 65024000 65323008 67513200 68044800 72014080 72581120 73152000 73728000 74907648 78028800 81015840 81653760 84391500 85056000 86416896 87097344 90017600 90726400 93634560 97536000 101269800 102067200 104038400 108021120 108871680 112522000 113408000 115222528 117043200 124846080 126587250 127584000 129625344 130048000 130646016 135026400 136089600 144028160 145162240 146304000 156057600 162031680 163307520 168783000 170112000 172833792 180035200 181452800 187269120 195072000 202539600 204134400 208076800 216042240 217743360 225044000 226816000 230445056 234086400 253174500 255168000 259250688 260096000 261292032 270052800 272179200 288056320 292608000 312115200 324063360 326615040 337566000 340224000 345667584 360070400 362905600 374538240 390144000 405079200 408268800 432084480 435486720 450088000 453632000 460890112 468172800 506349000 510336000 518501376 520192000 540105600 544358400 576112640 585216000 624230400 648126720 653230080 675132000 680448000 691335168 720140800 725811200 780288000 810158400 816537600 864168960 900176000 907264000 921780224 936345600 1012698000 1020672000 1037002752 1040384000 1080211200 1088716800 1152225280 1170432000 1296253440 1306460160 1350264000 1360896000 1382670336 1440281600 1560576000 1620316800 1633075200 1728337920 1800352000 1814528000 1843560448 1872691200 2025396000 2041344000 2074005504 2160422400 2177433600 2304450560 2340864000 2592506880 2700528000 2721792000 2765340672 2880563200 3121152000 3240633600 3266150400 3456675840 3600704000 3629056000 3687120896 4050792000 4082688000 4148011008 4320844800 4608901120 4681728000 5185013760 5401056000 5443584000 5530681344 5761126400 6481267200 6532300800 6913351680 7201408000 8101584000 8165376000 8296022016 8641689600 9217802240 9363456000 10370027520 10802112000 10887168000 11061362688 11522252800 12962534400 13826703360 14402816000 16203168000 16330752000 16592044032 17283379200 18435604480 20740055040 21604224000 23044505600 25925068800 27653406720 28805632000 32406336000 32661504000 33184088064 34566758400 41480110080 43208448000 46089011200 51850137600 55306813440 57611264000 64812672000 69133516800 82960220160 86416896000 92178022400 103700275200 115222528000 129625344000 138267033600 165920440320 172833792000 207400550400 230445056000 259250688000 276534067200 345667584000 414801100800 460890112000 518501376000 691335168000 829602201600 1037002752000 1382670336000 2074005504000 4148011008000
• Sum of all divisors σ(n): 15106626902016
• Sum of proper divisors (its aliquot sum) s(n): 10958615894016
• 4148011008000 is an abundant number, because the sum of its proper divisors (10958615894016) is greater than itself. Its abundance is 6810604886016

Bases of 4148011008000

• Binary: 111100010111001000101110010000000000000000₂
• Hexadecimal: 0x3C5C8B90000
• Base-36: 1GXKINLS0

Squares and roots of 4148011008000

• 4148011008000 squared (4148011008000²) is 17205995322489176064000000
• 4148011008000 cubed (4148011008000³) is 71370658001281612274322112512000000000
• The square root of 4148011008000 is 2036666.6413529731
• The cube root of 4148011008000 is 16067.4380243713

Scales and comparisons

• 4,148,011,008,000 seconds is equal to 131,893 years, 47 weeks, 5 days, 16 hours.
• To count from 1 to 4,148,011,008,000 would take you about three hundred twenty-nine thousand, seven hundred thirty-four 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 4148011008000 cubic inches would be around 1339 feet tall.

Recreational maths with 4148011008000

• 4148011008000 backwards is 0008001108414
• The number of decimal digits it has is: 13
• The sum of 4148011008000's digits is 27
• More coming soon!