12820488192000

Names of 12820488192000

• Cardinal: 12820488192000 can be written as Twelve trillion, eight hundred twenty billion, four hundred eighty-eight million, one hundred ninety-two thousand.

Scientific notation

• Scientific notation: 1.2820488192 × 10¹³

Factors of 12820488192000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 149

Divisors of 12820488192000

• Number of divisors d(n): 1020
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 139 144 150 160 162 180 192 200 216 225 240 250 256 270 278 288 300 320 324 360 375 384 400 405 417 432 450 480 500 512 540 556 576 600 640 648 675 695 720 750 768 800 810 834 864 900 960 1000 1024 1080 1112 1125 1152 1200 1251 1280 1296 1350 1390 1440 1500 1536 1600 1620 1668 1728 1800 1920 2000 2025 2048 2085 2160 2224 2250 2304 2400 2502 2560 2592 2700 2780 2880 3000 3072 3200 3240 3336 3375 3456 3475 3600 3753 3840 4000 4050 4096 4170 4320 4448 4500 4608 4800 5004 5120 5184 5400 5560 5760 6000 6144 6255 6400 6480 6672 6750 6912 6950 7200 7506 7680 8000 8100 8192 8340 8640 8896 9000 9216 9600 10008 10125 10240 10368 10425 10800 11120 11259 11520 12000 12288 12510 12800 12960 13344 13500 13824 13900 14400 15012 15360 16000 16200 16384 16680 17280 17375 17792 18000 18432 18765 19200 19321 20016 20250 20480 20736 20850 21600 22240 22518 23040 24000 24576 25020 25600 25920 26688 27000 27648 27800 28800 30024 30720 31275 32000 32400 32768 33360 34560 34750 35584 36000 36864 37530 38400 38642 40032 40500 40960 41472 41700 43200 44480 45036 46080 48000 49152 50040 51200 51840 52125 53376 54000 55296 55600 56295 57600 57963 60048 61440 62550 64000 64800 65536 66720 69120 69500 71168 72000 73728 75060 76800 77284 80064 81000 81920 82944 83400 86400 88960 90072 92160 93825 96000 96605 98304 100080 102400 103680 104250 106752 108000 110592 111200 112590 115200 115926 120096 122880 125100 128000 129600 133440 138240 139000 142336 144000 147456 150120 153600 154568 156375 160128 162000 163840 165888 166800 172800 173889 177920 180144 184320 187650 192000 193210 196608 200160 204800 207360 208500 213504 216000 221184 222400 225180 230400 231852 240192 245760 250200 256000 259200 266880 276480 278000 281475 284672 288000 289815 294912 300240 307200 309136 312750 320256 324000 327680 331776 333600 345600 347778 355840 360288 368640 375300 384000 386420 400320 409600 414720 417000 427008 432000 442368 444800 450360 460800 463704 469125 480384 483025 491520 500400 512000 518400 521667 533760 552960 556000 562950 569344 576000 579630 589824 600480 614400 618272 625500 640512 648000 663552 667200 691200 695556 711680 720576 737280 750600 768000 772840 800640 819200 829440 834000 854016 864000 869445 884736 889600 900720 921600 927408 938250 960768 966050 983040 1000800 1024000 1036800 1043334 1067520 1105920 1112000 1125900 1138688 1152000 1159260 1200960 1228800 1236544 1251000 1281024 1296000 1327104 1334400 1382400 1391112 1407375 1423360 1441152 1449075 1474560 1501200 1536000 1545680 1565001 1601280 1638400 1658880 1668000 1708032 1728000 1738890 1769472 1779200 1801440 1843200 1854816 1876500 1921536 1932100 2001600 2048000 2073600 2086668 2135040 2211840 2224000 2251800 2277376 2304000 2318520 2401920 2415125 2457600 2473088 2502000 2562048 2592000 2608335 2654208 2668800 2764800 2782224 2814750 2846720 2882304 2898150 2949120 3002400 3072000 3091360 3130002 3202560 3317760 3336000 3416064 3456000 3477780 3558400 3602880 3686400 3709632 3753000 3843072 3864200 4003200 4096000 4147200 4173336 4270080 4347225 4423680 4448000 4503600 4554752 4608000 4637040 4803840 4830250 4915200 4946176 5004000 5124096 5184000 5216670 5308416 5337600 5529600 5564448 5629500 5693440 5764608 5796300 6004800 6144000 6182720 6260004 6405120 6635520 6672000 6832128 6912000 6955560 7116800 7205760 7245375 7372800 7419264 7506000 7686144 7728400 7825005 8006400 8192000 8294400 8346672 8540160 8694450 8847360 8896000 9007200 9109504 9216000 9274080 9607680 9660500 9892352 10008000 10248192 10368000 10433340 10675200 11059200 11128896 11259000 11386880 11529216 11592600 12009600 12288000 12365440 12520008 12810240 13041675 13271040 13344000 13664256 13824000 13911120 14233600 14411520 14490750 14745600 14838528 15012000 15372288 15456800 15650010 16012800 16588800 16693344 17080320 17388900 17792000 18014400 18432000 18548160 19215360 19321000 19784704 20016000 20496384 20736000 20866680 21350400 21736125 22118400 22257792 22518000 22773760 23058432 23185200 24019200 24576000 24730880 25040016 25620480 26083350 26542080 26688000 27328512 27648000 27822240 28467200 28823040 28981500 29677056 30024000 30744576 30913600 31300020 32025600 33177600 33386688 34160640 34777800 35584000 36028800 36864000 37096320 38430720 38642000 39125025 39569408 40032000 40992768 41472000 41733360 42700800 43472250 44236800 44515584 45036000 45547520 46116864 46370400 48038400 49461760 50080032 51240960 52166700 53376000 55296000 55644480 56934400 57646080 57963000 59354112 60048000 61489152 61827200 62600040 64051200 65208375 66355200 66773376 68321280 69555600 71168000 72057600 73728000 74192640 76861440 77284000 78250050 79138816 80064000 81985536 82944000 83466720 85401600 86944500 89031168 90072000 92233728 92740800 96076800 98923520 100160064 102481920 104333400 106752000 110592000 111288960 113868800 115292160 115926000 118708224 120096000 122978304 123654400 125200080 128102400 130416750 132710400 133546752 136642560 139111200 142336000 144115200 148385280 153722880 154568000 156500100 158277632 160128000 165888000 166933440 170803200 173889000 178062336 180144000 184467456 185481600 192153600 195625125 197847040 200320128 204963840 208666800 213504000 221184000 222577920 227737600 230584320 231852000 237416448 240192000 245956608 247308800 250400160 256204800 260833500 267093504 278222400 284672000 288230400 296770560 307445760 309136000 313000200 316555264 320256000 331776000 333866880 341606400 347778000 356124672 360288000 368934912 370963200 384307200 391250250 395694080 400640256 409927680 417333600 427008000 445155840 461168640 463704000 474832896 480384000 494617600 500800320 512409600 521667000 534187008 556444800 569344000 576460800 593541120 614891520 618272000 626000400 633110528 640512000 663552000 667733760 683212800 695556000 712249344 720576000 737869824 741926400 768614400 782500500 791388160 801280512 834667200 854016000 890311680 922337280 927408000 949665792 960768000 989235200 1001600640 1024819200 1043334000 1068374016 1112889600 1138688000 1152921600 1187082240 1229783040 1236544000 1252000800 1266221056 1281024000 1335467520 1391112000 1424498688 1441152000 1483852800 1537228800 1565001000 1582776320 1602561024 1669334400 1708032000 1780623360 1844674560 1854816000 1899331584 1921536000 1978470400 2003201280 2049638400 2086668000 2136748032 2225779200 2305843200 2374164480 2473088000 2504001600 2562048000 2670935040 2782224000 2848997376 2882304000 2967705600 3074457600 3130002000 3165552640 3205122048 3338668800 3416064000 3561246720 3689349120 3709632000 3798663168 3843072000 3956940800 4006402560 4173336000 4273496064 4451558400 4611686400 4748328960 4946176000 5008003200 5124096000 5341870080 5564448000 5697994752 5764608000 5935411200 6148915200 6260004000 6331105280 6410244096 6677337600 7122493440 7419264000 7686144000 7913881600 8012805120 8346672000 8546992128 8903116800 9223372800 9496657920 9892352000 10016006400 10248192000 10683740160 11128896000 11395989504 11529216000 11870822400 12520008000 12820488192 13354675200 14244986880 14838528000 15372288000 15827763200 16025610240 16693344000 17093984256 17806233600 18446745600 18993315840 19784704000 20032012800 21367480320 22257792000 23058432000 23741644800 25040016000 25640976384 26709350400 28489973760 29677056000 30744576000 31655526400 32051220480 33386688000 34187968512 35612467200 39569408000 40064025600 42734960640 44515584000 46116864000 47483289600 50080032000 51281952768 53418700800 56979947520 59354112000 64102440960 66773376000 71224934400 79138816000 80128051200 85469921280 89031168000 92233728000 94966579200 100160064000 102563905536 106837401600 118708224000 128204881920 133546752000 142449868800 158277632000 160256102400 170939842560 178062336000 200320128000 213674803200 237416448000 256409763840 267093504000 284899737600 320512204800 356124672000 400640256000 427349606400 474832896000 512819527680 534187008000 641024409600 712249344000 801280512000 854699212800 1068374016000 1282048819200 1424498688000 1602561024000 2136748032000 2564097638400 3205122048000 4273496064000 6410244096000 12820488192000
• Sum of all divisors σ(n): 48148386070356
• Sum of proper divisors (its aliquot sum) s(n): 35327897878356
• 12820488192000 is an abundant number, because the sum of its proper divisors (35327897878356) is greater than itself. Its abundance is 22507409686356

Bases of 12820488192000

• Binary: 10111010100100000000101001010000000000000000₂
• Hexadecimal: 0xBA900A50000
• Base-36: 4JLNFNK00

Squares and roots of 12820488192000

• 12820488192000 squared (12820488192000²) is 164364917481211428864000000
• 12820488192000 cubed (12820488192000³) is 2107238483746925505606359973888000000000
• The square root of 12820488192000 is 3580570.9310108633
• The cube root of 12820488192000 is 23404.6160518693

Scales and comparisons

• 12,820,488,192,000 seconds is equal to 407,651 years, 45 weeks, 1 day.
• To count from 1 to 12,820,488,192,000 would take you about one million, nineteen thousand, one hundred twenty-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 12820488192000 cubic inches would be around 1950.4 feet tall.

Recreational maths with 12820488192000

• 12820488192000 backwards is 00029188402821
• 12820488192000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12820488192000's digits is 45
• More coming soon!