82081382400
82,081,382,400 is an even composite number composed of four prime numbers multiplied together.
82081382400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 82081382400:
215 × 34 × 52 × 1237
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 1237)See below for interesting mathematical facts about the number 82081382400 from the Numbermatics database.
Names of 82081382400
- Cardinal: 82081382400 can be written as Eighty-two billion, eighty-one million, three hundred eighty-two thousand, four hundred.
Scientific notation
- Scientific notation: 8.20813824 × 1010
Factors of 82081382400
Divisors of 82081382400
- Number of divisors d(n): 480
-
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 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 240 256 270 288 300 320 324 360 384 400 405 432 450 480 512 540 576 600 640 648 675 720 768 800 810 864 900 960 1024 1080 1152 1200 1237 1280 1296 1350 1440 1536 1600 1620 1728 1800 1920 2025 2048 2160 2304 2400 2474 2560 2592 2700 2880 3072 3200 3240 3456 3600 3711 3840 4050 4096 4320 4608 4800 4948 5120 5184 5400 5760 6144 6185 6400 6480 6912 7200 7422 7680 8100 8192 8640 9216 9600 9896 10240 10368 10800 11133 11520 12288 12370 12800 12960 13824 14400 14844 15360 16200 16384 17280 18432 18555 19200 19792 20480 20736 21600 22266 23040 24576 24740 25600 25920 27648 28800 29688 30720 30925 32400 32768 33399 34560 36864 37110 38400 39584 40960 41472 43200 44532 46080 49152 49480 51200 51840 55296 55665 57600 59376 61440 61850 64800 66798 69120 73728 74220 76800 79168 81920 82944 86400 89064 92160 92775 98304 98960 100197 102400 103680 110592 111330 115200 118752 122880 123700 129600 133596 138240 147456 148440 153600 158336 163840 165888 166995 172800 178128 184320 185550 197920 200394 204800 207360 221184 222660 230400 237504 245760 247400 259200 267192 276480 278325 294912 296880 307200 316672 331776 333990 345600 356256 368640 371100 395840 400788 409600 414720 442368 445320 460800 475008 491520 494800 500985 518400 534384 552960 556650 593760 614400 633344 663552 667980 691200 712512 737280 742200 791680 801576 819200 829440 834975 884736 890640 921600 950016 989600 1001970 1036800 1068768 1105920 1113300 1187520 1228800 1266688 1327104 1335960 1382400 1425024 1474560 1484400 1583360 1603152 1658880 1669950 1781280 1843200 1900032 1979200 2003940 2073600 2137536 2211840 2226600 2375040 2457600 2504925 2533376 2654208 2671920 2764800 2850048 2968800 3166720 3206304 3317760 3339900 3562560 3686400 3800064 3958400 4007880 4147200 4275072 4423680 4453200 4750080 5009850 5066752 5343840 5529600 5700096 5937600 6333440 6412608 6635520 6679800 7125120 7372800 7600128 7916800 8015760 8294400 8550144 8906400 9500160 10019700 10133504 10687680 11059200 11400192 11875200 12666880 12825216 13271040 13359600 14250240 15200256 15833600 16031520 16588800 17100288 17812800 19000320 20039400 20267008 21375360 22118400 22800384 23750400 25333760 25650432 26719200 28500480 30400512 31667200 32063040 33177600 34200576 35625600 38000640 40078800 40534016 42750720 45600768 47500800 50667520 51300864 53438400 57000960 60801024 63334400 64126080 66355200 68401152 71251200 76001280 80157600 85501440 91201536 95001600 101335040 102601728 106876800 114001920 121602048 126668800 128252160 136802304 142502400 152002560 160315200 171002880 182403072 190003200 202670080 205203456 213753600 228003840 253337600 256504320 273604608 285004800 304005120 320630400 342005760 364806144 380006400 410406912 427507200 456007680 506675200 513008640 547209216 570009600 608010240 641260800 684011520 760012800 820813824 855014400 912015360 1013350400 1026017280 1094418432 1140019200 1282521600 1368023040 1520025600 1641627648 1710028800 1824030720 2052034560 2280038400 2565043200 2736046080 3040051200 3283255296 3420057600 4104069120 4560076800 5130086400 5472092160 6840115200 8208138240 9120153600 10260172800 13680230400 16416276480 20520345600 27360460800 41040691200 82081382400
- Sum of all divisors σ(n): 304327369830
- Sum of proper divisors (its aliquot sum) s(n): 222245987430
- 82081382400 is an abundant number, because the sum of its proper divisors (222245987430) is greater than itself. Its abundance is 140164605030
Bases of 82081382400
- Binary: 10011000111000110111010000000000000002
- Hexadecimal: 0x131C6E8000
- Base-36: 11PH4W00
Squares and roots of 82081382400
- 82081382400 squared (820813824002) is 6737353336695029760000
- 82081382400 cubed (820813824003) is 553011275593180689909940224000000
-
The
square root of 82081382400 is 286498.4858598733 -
The
cube root of 82081382400 is 4345.9182639287
Scales and comparisons
How big is 82081382400?- 82,081,382,400 seconds is equal to 2,609 years, 48 weeks, 4 days.
-
To count from 1 to 82,081,382,400 would take you about five thousand, two hundred nineteen 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 82081382400 cubic inches would be around 362.2 feet tall.
Recreational maths with 82081382400
- 82081382400 backwards is 00428318028
- 82081382400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 82081382400's digits is 36
- More coming soon!
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