10468982784000

Names of 10468982784000

• Cardinal: 10468982784000 can be written as Ten trillion, four hundred sixty-eight billion, nine hundred eighty-two million, seven hundred eighty-four thousand.

Scientific notation

• Scientific notation: 1.0468982784 × 10¹³

Factors of 10468982784000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 36
• Sum of prime factors: 23

Divisors of 10468982784000

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 192 195 200 208 240 250 256 260 300 312 320 325 375 384 390 400 416 480 500 512 520 600 624 640 650 750 768 780 800 832 960 975 1000 1024 1040 1200 1248 1280 1300 1500 1536 1560 1600 1625 1664 1920 1950 2000 2048 2080 2400 2496 2560 2600 3000 3072 3120 3200 3250 3328 3840 3900 4000 4096 4160 4800 4875 4992 5120 5200 6000 6144 6240 6400 6500 6656 7680 7800 8000 8192 8320 9600 9750 9984 10240 10400 12000 12288 12480 12800 13000 13312 15360 15600 16000 16384 16640 19200 19500 19968 20480 20800 24000 24576 24960 25600 26000 26624 30720 31200 32000 32768 33280 38400 39000 39936 40960 41600 48000 49152 49920 51200 52000 53248 61440 62400 64000 65536 66560 76800 78000 79872 81920 83200 96000 98304 99840 102400 104000 106496 122880 124800 128000 131072 133120 153600 156000 159744 163840 166400 192000 196608 199680 204800 208000 212992 245760 249600 256000 262144 266240 307200 312000 319488 327680 332800 384000 393216 399360 409600 416000 425984 491520 499200 512000 524288 532480 614400 624000 638976 655360 665600 768000 786432 798720 819200 832000 851968 983040 998400 1024000 1048576 1064960 1228800 1248000 1277952 1310720 1331200 1536000 1572864 1597440 1638400 1664000 1703936 1966080 1996800 2048000 2097152 2129920 2457600 2496000 2555904 2621440 2662400 3072000 3145728 3194880 3276800 3328000 3407872 3932160 3993600 4096000 4194304 4259840 4915200 4992000 5111808 5242880 5324800 6144000 6291456 6389760 6553600 6656000 6815744 7864320 7987200 8192000 8388608 8519680 9830400 9984000 10223616 10485760 10649600 12288000 12582912 12779520 13107200 13312000 13631488 15728640 15974400 16384000 16777216 17039360 19660800 19968000 20447232 20971520 21299200 24576000 25165824 25559040 26214400 26624000 27262976 31457280 31948800 32768000 33554432 34078720 39321600 39936000 40894464 41943040 42598400 49152000 50331648 51118080 52428800 53248000 54525952 62914560 63897600 65536000 67108864 68157440 78643200 79872000 81788928 83886080 85196800 98304000 100663296 102236160 104857600 106496000 109051904 125829120 127795200 131072000 134217728 136314880 157286400 159744000 163577856 167772160 170393600 196608000 201326592 204472320 209715200 212992000 218103808 251658240 255590400 262144000 268435456 272629760 314572800 319488000 327155712 335544320 340787200 393216000 402653184 408944640 419430400 425984000 436207616 503316480 511180800 524288000 536870912 545259520 629145600 638976000 654311424 671088640 681574400 786432000 805306368 817889280 838860800 851968000 872415232 1006632960 1022361600 1048576000 1073741824 1090519040 1258291200 1277952000 1308622848 1342177280 1363148800 1572864000 1610612736 1635778560 1677721600 1703936000 1744830464 2013265920 2044723200 2097152000 2147483648 2181038080 2516582400 2555904000 2617245696 2684354560 2726297600 3145728000 3221225472 3271557120 3355443200 3407872000 3489660928 4026531840 4089446400 4194304000 4362076160 5033164800 5111808000 5234491392 5368709120 5452595200 6291456000 6442450944 6543114240 6710886400 6815744000 6979321856 8053063680 8178892800 8388608000 8724152320 10066329600 10223616000 10468982784 10737418240 10905190400 12582912000 13086228480 13421772800 13631488000 13958643712 16106127360 16357785600 16777216000 17448304640 20132659200 20447232000 20937965568 21810380800 25165824000 26172456960 26843545600 27262976000 27917287424 32212254720 32715571200 33554432000 34896609280 40265318400 40894464000 41875931136 43620761600 50331648000 52344913920 53687091200 54525952000 65431142400 67108864000 69793218560 80530636800 81788928000 83751862272 87241523200 100663296000 104689827840 109051904000 130862284800 134217728000 139586437120 161061273600 163577856000 174483046400 201326592000 209379655680 218103808000 261724569600 268435456000 327155712000 348966092800 402653184000 418759311360 436207616000 523449139200 654311424000 697932185600 805306368000 872415232000 1046898278400 1308622848000 1744830464000 2093796556800 2617245696000 3489660928000 5234491392000 10468982784000
• Sum of all divisors σ(n): 37520834289120
• Sum of proper divisors (its aliquot sum) s(n): 27051851505120
• 10468982784000 is an abundant number, because the sum of its proper divisors (27051851505120) is greater than itself. Its abundance is 16582868721120

Bases of 10468982784000

• Binary: 10011000010110000000000000000000000000000000₂
• Hexadecimal: 0x98580000000
• Base-36: 3PLDU1QTC

Squares and roots of 10468982784000

• 10468982784000 squared (10468982784000²) is 109599600531688390656000000
• 10468982784000 cubed (10468982784000³) is 1147396331099523008230330466304000000000
• The square root of 10468982784000 is 3235580.7491082647
• The cube root of 10468982784000 is 21876.0124502933

Scales and comparisons

• 10,468,982,784,000 seconds is equal to 332,881 years, 14 weeks, 5 hours, 20 minutes.
• To count from 1 to 10,468,982,784,000 would take you about eight hundred thirty-two thousand, two hundred three 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 10468982784000 cubic inches would be around 1823 feet tall.

Recreational maths with 10468982784000

• 10468982784000 backwards is 00048728986401
• The number of decimal digits it has is: 14
• The sum of 10468982784000's digits is 57
• More coming soon!