82814144040
82,814,144,040 is an even composite number composed of six prime numbers multiplied together.
82814144040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 82814144040:
23 × 34 × 5 × 19 × 59 × 1512
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 19 × 59 × 151 × 151)See below for interesting mathematical facts about the number 82814144040 from the Numbermatics database.
Names of 82814144040
- Cardinal: 82814144040 can be written as Eighty-two billion, eight hundred fourteen million, one hundred forty-four thousand and forty.
Scientific notation
- Scientific notation: 8.281414404 × 1010
Factors of 82814144040
Divisors of 82814144040
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 59 60 72 76 81 90 95 108 114 118 120 135 151 152 162 171 177 180 190 216 228 236 270 285 295 302 324 342 354 360 380 405 453 456 472 513 531 540 570 590 604 648 684 708 755 760 810 855 885 906 1026 1062 1080 1121 1140 1180 1208 1359 1368 1416 1510 1539 1593 1620 1710 1770 1812 2052 2124 2242 2265 2280 2360 2565 2655 2718 2869 3020 3078 3186 3240 3363 3420 3540 3624 4077 4104 4248 4484 4530 4779 5130 5310 5436 5605 5738 6040 6156 6372 6726 6795 6840 7080 7695 7965 8154 8607 8909 8968 9060 9558 10089 10260 10620 10872 11210 11476 12231 12312 12744 13452 13590 14345 15390 15930 16308 16815 17214 17818 18120 19116 20178 20385 20520 21240 22420 22801 22952 23895 24462 25821 26727 26904 27180 28690 30267 30780 31860 32616 33630 34428 35636 38232 40356 40770 43035 44545 44840 45602 47790 48924 50445 51642 53454 54360 57380 60534 61155 61560 63720 67260 68403 68856 71272 77463 80181 80712 81540 86070 89090 90801 91204 95580 97848 100890 103284 106908 114005 114760 121068 122310 129105 133635 134520 136806 151335 154926 160362 163080 169271 172140 178180 181602 182408 191160 201780 205209 206568 213816 228010 232389 240543 242136 244620 258210 267270 273612 302670 309852 320724 338542 342015 344280 356360 363204 387315 400905 403560 410418 433219 454005 456020 464778 481086 489240 507813 516420 534540 547224 605340 615627 619704 641448 677084 684030 721629 726408 774630 801810 820836 846355 866438 908010 912040 929556 962172 1015626 1026045 1032840 1069080 1161945 1202715 1210680 1231254 1299657 1345259 1354168 1368060 1443258 1523439 1549260 1603620 1641672 1692710 1732876 1816020 1846881 1859112 1924344 2031252 2052090 2166095 2323890 2405430 2462508 2539065 2599314 2690518 2736120 2886516 3046878 3078135 3098520 3207240 3385420 3465752 3608145 3632040 3693762 3898971 4035777 4062504 4104180 4332190 4570317 4647780 4810860 4925016 5078130 5198628 5381036 5773032 6093756 6156270 6498285 6726295 6770840 7216290 7387524 7617195 7797942 8071554 8208360 8664380 9140634 9234405 9295560 9621720 10156260 10397256 10762072 11696913 12107331 12187512 12312540 12996570 13452590 13710951 14432580 14775048 15234390 15595884 16143108 17328760 18281268 18468810 19494855 20178885 20312520 22851585 23393826 24214662 24625080 25559921 25993140 26905180 27421902 28865160 30468780 31191768 32286216 35090739 36321993 36562536 36937620 38989710 40357770 45703170 46787652 48429324 51119842 51986280 53810360 54843804 58484565 60536655 60937560 68554755 70181478 72643986 73875240 76679763 77979420 80715540 91406340 93575304 96858648 102239684 108965979 109687608 116969130 121073310 127799605 137109510 140362956 145287972 153359526 155958840 161431080 175453695 181609965 182812680 204479368 217931958 230039289 233938260 242146620 255599210 274219020 280725912 290575944 306719052 350907390 363219930 383398815 435863916 460078578 467876520 484293240 511198420 544829895 548438040 613438104 690117867 701814780 726439860 766797630 871727832 920157156 1022396840 1089659790 1150196445 1380235734 1403629560 1452879720 1533595260 1840314312 2070353601 2179319580 2300392890 2760471468 3067190520 3450589335 4140707202 4358639160 4600785780 5520942936 6901178670 8281414404 9201571560 10351768005 13802357340 16562828808 20703536010 27604714680 41407072020 82814144040
- Sum of all divisors σ(n): 299949804000
- Sum of proper divisors (its aliquot sum) s(n): 217135659960
- 82814144040 is an abundant number, because the sum of its proper divisors (217135659960) is greater than itself. Its abundance is 134321515920
Bases of 82814144040
- Binary: 10011010010000001101110001110001010002
- Hexadecimal: 0x13481B8E28
- Base-36: 121LEII0
Squares and roots of 82814144040
- 82814144040 squared (828141440402) is 6858182453077867521600
- 82814144040 cubed (828141440403) is 567954509521791062269820211264000
-
The
square root of 82814144040 is 287774.4673177243 -
The
cube root of 82814144040 is 4358.8123473067
Scales and comparisons
How big is 82814144040?- 82,814,144,040 seconds is equal to 2,633 years, 12 weeks, 1 day, 54 minutes.
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To count from 1 to 82,814,144,040 would take you about five thousand, two hundred sixty-six 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 82814144040 cubic inches would be around 363.2 feet tall.
Recreational maths with 82814144040
- 82814144040 backwards is 04044141828
- 82814144040 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 82814144040's digits is 36
- More coming soon!
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