12380073984000

Names of 12380073984000

• Cardinal: 12380073984000 can be written as Twelve trillion, three hundred eighty billion, seventy-three million, nine hundred eighty-four thousand.

Scientific notation

• Scientific notation: 1.2380073984 × 10¹³

Factors of 12380073984000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 8242

Divisors of 12380073984000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 60 64 72 75 80 82 90 96 100 120 123 125 128 144 150 160 164 180 192 200 205 225 240 246 250 256 288 300 320 328 360 369 375 384 400 410 450 480 492 500 512 576 600 615 640 656 720 738 750 768 800 820 900 960 984 1000 1024 1025 1125 1152 1200 1230 1280 1312 1440 1476 1500 1536 1600 1640 1800 1845 1920 1968 2000 2048 2050 2250 2304 2400 2460 2560 2624 2880 2952 3000 3072 3075 3200 3280 3600 3690 3840 3936 4000 4096 4100 4500 4608 4800 4920 5120 5125 5248 5760 5904 6000 6144 6150 6400 6560 7200 7380 7680 7872 8000 8191 8192 8200 9000 9216 9225 9600 9840 10240 10250 10496 11520 11808 12000 12288 12300 12800 13120 14400 14760 15360 15375 15744 16000 16382 16384 16400 18000 18432 18450 19200 19680 20480 20500 20992 23040 23616 24000 24573 24576 24600 25600 26240 28800 29520 30720 30750 31488 32000 32764 32768 32800 36000 36864 36900 38400 39360 40955 40960 41000 41984 46080 46125 47232 48000 49146 49152 49200 51200 52480 57600 59040 61440 61500 62976 64000 65528 65600 72000 73719 73728 73800 76800 78720 81910 81920 82000 83968 92160 92250 94464 96000 98292 98304 98400 102400 104960 115200 118080 122865 122880 123000 125952 128000 131056 131200 144000 147438 147456 147600 153600 157440 163820 163840 164000 167936 184320 184500 188928 192000 196584 196800 204775 204800 209920 230400 236160 245730 245760 246000 251904 256000 262112 262400 288000 294876 294912 295200 307200 314880 327640 328000 335831 335872 368595 368640 369000 377856 384000 393168 393600 409550 409600 419840 460800 472320 491460 491520 492000 503808 512000 524224 524800 576000 589752 590400 614325 614400 629760 655280 656000 671662 671744 737190 737280 738000 755712 768000 786336 787200 819100 819200 839680 921600 944640 982920 984000 1007493 1007616 1023875 1024000 1048448 1049600 1152000 1179504 1180800 1228650 1228800 1259520 1310560 1312000 1343324 1343488 1474380 1474560 1476000 1511424 1536000 1572672 1574400 1638200 1679155 1679360 1842975 1843200 1889280 1965840 1968000 2014986 2015232 2047750 2048000 2096896 2099200 2304000 2359008 2361600 2457300 2457600 2519040 2621120 2624000 2686648 2948760 2952000 3022479 3022848 3071625 3072000 3145344 3148800 3276400 3358310 3358720 3685950 3686400 3778560 3931680 3936000 4029972 4030464 4095500 4096000 4193792 4198400 4608000 4718016 4723200 4914600 5037465 5038080 5242240 5248000 5373296 5897520 5904000 6044958 6045696 6143250 6144000 6290688 6297600 6552800 6716620 6717440 7371900 7372800 7557120 7863360 7872000 8059944 8191000 8387584 8395775 8396800 9214875 9216000 9436032 9446400 9829200 10074930 10076160 10484480 10496000 10746592 11795040 11808000 12089916 12091392 12286500 12288000 12581376 12595200 13105600 13433240 14743800 15112395 15114240 15726720 15744000 16119888 16382000 16775168 16791550 16793600 18429750 18432000 18872064 18892800 19658400 20149860 20152320 20968960 20992000 21493184 23590080 23616000 24179832 24573000 25162752 25187325 25190400 26211200 26866480 29487600 30224790 30228480 31453440 31488000 32239776 32764000 33550336 33583100 33587200 36859500 36864000 37744128 37785600 39316800 40299720 41937920 41978875 41984000 42986368 47180160 47232000 48359664 49146000 50325504 50374650 50380800 52422400 53732960 58975200 60449580 60456960 62906880 62976000 64479552 65528000 67100672 67166200 73719000 75488256 75561975 75571200 78633600 80599440 83875840 83957750 83968000 85972736 94360320 94464000 96719328 98292000 100651008 100749300 100761600 104844800 107465920 117950400 120899160 125813760 125936625 125952000 128959104 131056000 134201344 134332400 147438000 150976512 151123950 151142400 157267200 161198880 167751680 167915500 167936000 171945472 188720640 188928000 193438656 196584000 201302016 201498600 209689600 214931840 235900800 241798320 251627520 251873250 251904000 257918208 262112000 268402688 268664800 294876000 301953024 302247900 302284800 314534400 322397760 335503360 335831000 343890944 377441280 377809875 377856000 386877312 393168000 402604032 402997200 419379200 429863680 471801600 483596640 503255040 503746500 503808000 515836416 524224000 537329600 589752000 603906048 604495800 629068800 644795520 671006720 671662000 687781888 754882560 755619750 755712000 773754624 786336000 805208064 805994400 838758400 859727360 943603200 967193280 1006510080 1007493000 1031672832 1048448000 1074659200 1179504000 1207812096 1208991600 1258137600 1289591040 1342013440 1343324000 1375563776 1509765120 1511239500 1511424000 1547509248 1572672000 1611988800 1677516800 1719454720 1887206400 1934386560 2013020160 2014986000 2063345664 2096896000 2149318400 2359008000 2415624192 2417983200 2516275200 2579182080 2686648000 2751127552 3019530240 3022479000 3095018496 3145344000 3223977600 3355033600 3438909440 3774412800 3868773120 4026040320 4029972000 4126691328 4193792000 4298636800 4718016000 4835966400 5032550400 5158364160 5373296000 5502255104 6039060480 6044958000 6190036992 6290688000 6447955200 6710067200 6877818880 7548825600 7737546240 8059944000 8253382656 8387584000 8597273600 9436032000 9671932800 10065100800 10316728320 10746592000 11004510208 12078120960 12089916000 12380073984 12581376000 12895910400 13755637760 15097651200 15475092480 16119888000 16506765312 16775168000 17194547200 18872064000 19343865600 20130201600 20633456640 21493184000 24179832000 24760147968 25162752000 25791820800 27511275520 30195302400 30950184960 32239776000 33013530624 33550336000 34389094400 37744128000 38687731200 41266913280 42986368000 48359664000 49520295936 50325504000 51583641600 55022551040 60390604800 61900369920 64479552000 68778188800 75488256000 77375462400 82533826560 85972736000 96719328000 99040591872 100651008000 103167283200 123800739840 128959104000 137556377600 150976512000 154750924800 165067653120 171945472000 193438656000 206334566400 247601479680 257918208000 275112755200 301953024000 309501849600 343890944000 386877312000 412669132800 495202959360 515836416000 619003699200 687781888000 773754624000 825338265600 1031672832000 1238007398400 1375563776000 1547509248000 2063345664000 2476014796800 3095018496000 4126691328000 6190036992000 12380073984000
• Sum of all divisors σ(n): 45727819038720
• Sum of proper divisors (its aliquot sum) s(n): 33347745054720
• 12380073984000 is an abundant number, because the sum of its proper divisors (33347745054720) is greater than itself. Its abundance is 20967671070720

Bases of 12380073984000

• Binary: 10110100001001110101111010011000000000000000₂
• Hexadecimal: 0xB4275E98000
• Base-36: 4DZBSEM80

Squares and roots of 12380073984000

• 12380073984000 squared (12380073984000²) is 153266231849313632256000000
• 12380073984000 cubed (12380073984000³) is 1897447289543399906949048827904000000000
• The square root of 12380073984000 is 3518532.9306402691
• The cube root of 12380073984000 is 23133.4859041633

Scales and comparisons

• 12,380,073,984,000 seconds is equal to 393,648 years, 3 weeks, 8 hours.
• To count from 1 to 12,380,073,984,000 would take you about nine hundred eighty-four thousand, one hundred twenty 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 12380073984000 cubic inches would be around 1927.8 feet tall.

Recreational maths with 12380073984000

• 12380073984000 backwards is 00048937008321
• 12380073984000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12380073984000's digits is 45
• More coming soon!