82135027686364800
82,135,027,686,364,800 is an even composite number composed of seven prime numbers multiplied together.
82135027686364800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 82135027686364800:
27 × 3 × 52 × 7 × 192 × 312 × 18772
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 19 × 19 × 31 × 31 × 1877 × 1877)See below for interesting mathematical facts about the number 82135027686364800 from the Numbermatics database.
Names of 82135027686364800
- Cardinal: 82135027686364800 can be written as Eighty-two quadrillion, one hundred thirty-five trillion, twenty-seven billion, six hundred eighty-six million, three hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 8.21350276863648 × 1016
Factors of 82135027686364800
Divisors of 82135027686364800
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 31 32 35 38 40 42 48 50 56 57 60 62 64 70 75 76 80 84 93 95 96 100 105 112 114 120 124 128 133 140 150 152 155 160 168 175 186 190 192 200 210 217 224 228 240 248 266 280 285 300 304 310 320 336 350 361 372 380 384 399 400 420 434 448 456 465 475 480 496 525 532 560 570 589 600 608 620 640 651 665 672 700 722 744 760 775 798 800 840 868 896 912 930 950 960 961 992 1050 1064 1083 1085 1120 1140 1178 1200 1216 1240 1302 1330 1344 1400 1425 1444 1488 1520 1550 1596 1600 1680 1736 1767 1805 1824 1860 1877 1900 1920 1922 1984 1995 2100 2128 2166 2170 2240 2280 2325 2356 2400 2432 2480 2527 2604 2660 2688 2800 2850 2883 2888 2945 2976 3040 3100 3192 3200 3255 3325 3360 3472 3534 3610 3648 3720 3754 3800 3844 3968 3990 4123 4200 4256 4332 4340 4480 4560 4650 4712 4800 4805 4960 5054 5208 5320 5415 5425 5600 5631 5700 5766 5776 5890 5952 6080 6200 6384 6510 6650 6720 6727 6944 7068 7220 7296 7440 7508 7581 7600 7688 7980 8246 8400 8512 8664 8680 8835 9025 9120 9300 9385 9424 9600 9610 9920 9975 10108 10416 10640 10830 10850 11191 11200 11262 11400 11532 11552 11780 11904 12160 12369 12400 12635 12768 13020 13139 13300 13440 13454 13888 14136 14415 14440 14725 14880 15016 15162 15200 15376 15960 16275 16492 16800 17024 17328 17360 17670 18050 18240 18259 18600 18770 18848 19220 19840 19950 20181 20216 20615 20832 21280 21660 21700 22382 22400 22524 22800 23064 23104 23560 24025 24738 24800 25270 25536 26040 26278 26600 26908 27075 27776 28155 28272 28830 28880 29450 29760 30032 30324 30400 30752 31920 32550 32984 33573 33600 33635 34656 34720 35340 35663 36100 36480 36518 37200 37540 37696 37905 38440 39417 39900 40362 40432 41230 41664 42560 43320 43400 44175 44764 45048 45600 46128 46208 46925 47120 48050 49476 49600 50540 51072 52080 52556 53200 53816 54150 54777 55955 56310 56544 57660 57760 58187 58900 59520 60064 60648 60800 61504 61845 63175 63840 65100 65695 65968 67146 67200 67270 69312 69440 70680 71326 72075 72200 73036 74400 75080 75392 75810 76880 78337 78834 79800 80724 80864 82460 83328 85120 86640 86800 88350 89528 90096 91200 91295 92256 93850 94240 96100 98952 99200 100905 101080 103075 104160 105112 106400 106989 107632 108300 109554 111910 112620 113088 115320 115520 116374 117800 120128 121296 123008 123690 126350 127680 127813 130200 131390 131936 134292 134540 138624 138880 140775 141360 142652 144150 144400 146072 148800 150160 151620 153760 156674 157668 159600 161448 161728 164920 167865 168175 173280 173600 174561 176700 178315 179056 180192 182400 182590 184512 187700 188480 189525 192200 197085 197904 201810 202160 206150 208320 210224 212800 213978 215264 216600 219108 223820 225240 226176 230640 231040 232748 235011 235600 240256 242592 247380 249641 252700 255360 255626 260400 262780 263872 268584 269080 273885 279775 281550 282720 285304 288300 288800 290935 292144 297600 300320 303240 307520 309225 313348 315336 319200 322896 323456 328475 329840 335730 336350 346560 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2905172173400 2917244812160 2957050247925 3033611364224 3052438965600 3087782995728 3125619441600 3154186931120 3216440620550 3250297890240 3311896277676 3320196769600 3418731641472 3486206608080 3555013317450 3561178793200 3602413495016 3646556015200 3666742307427 3669691166400 3785024317344 3792014205280 3859728744660 3942733663900 3984236123520 4062872362800 4069918620800 4117043994304 4139870347095 4273414551840 4357758260100 4375867218240 4415861703568 4498331107200 4503016868770 4550417046336 4648275477440 4731280396680 4740017756600 4824660930825 4888989743236 4980295154400 5046699089792 5146304992880 5341768189800 5403620242524 5417163150400 5469834022800 5519827129460 5577930572928 5688021307920 5697886069120 5810344346800 5914100495850 6104877931200 6111237179045 6175565991456 6251238883200 6308373862240 6432881241100 6500595780480 6623792555352 6640393539200 6754525303155 6899783911825 6972413216160 7110026634900 7122357586400 7204826990032 7293112030400 7333484614854 7339382332800 7570048634688 7584028410560 7719457489320 7885467327800 8125744725600 8234087988608 8279740694190 8546829103680 8555732050663 8715516520200 8751734436480 8831723407136 9006033737540 9100834092672 9296550954880 9462560793360 9480035513200 9649321861650 9777979486472 9960590308800 10292609985760 10683536379600 10807240485048 10834326300800 10939668045600 11039654258920 11257542171925 11376042615840 11620688693600 11828200991700 12209755862400 12222474358090 12351131982912 12616747724480 12865762482200 13247585110704 13509050606310 13799567823650 13944826432320 14220053269800 14244715172800 14409653980064 14586224060800 14666969229708 15140097269376 15168056821120 15438914978640 15770934655600 16251489451200 16559481388380 17093658207360 17111464101326 17431033040400 17663446814272 18012067475080 18333711537135 18925121586720 18960071026400 19298643723300 19555958972944 19921180617600 20585219971520 20699351735475 21367072759200 21614480970096 21879336091200 22079308517840 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85468291036800 85557320506630 86457923880384 88317234071360 90060337375400 91668557685675 94625607933600 97779794864720 102668784607956 102926099857600 105980680885632 108072404850480 110396542589200 113760426158400 117335753837664 122224743580900 123511319829120 126167477244800 128335980759945 132475851107040 135090506063100 136891712810608 139448264323200 144096539800640 146669692297080 154389149786400 156447671783552 165594813883800 171114641013260 172915847760768 176634468142720 180120674750800 183337115371350 189251215867200 195559589729440 205337569215912 205852199715200 213893301266575 216144809700960 220793085178400 227520852316800 234671507675328 244449487161800 256671961519890 264951702214080 270181012126200 273783425621216 288193079601280 293339384594160 308778299572800 331189627767600 342229282026520 360241349501600 366674230742700 378502431734400 391119179458880 410675138431824 427786602533150 432289619401920 441586170356800 469343015350656 488898974323600 513343923039780 529903404428160 540362024252400 547566851242432 586678769188320 617556599145600 641679903799725 662379255535200 684458564053040 720482699003200 733348461485400 782238358917760 821350276863648 855573205066300 864579238803840 883172340713600 977797948647200 1026687846079560 1080724048504800 1095133702484864 1173357538376640 1283359807599450 1324758511070400 1368917128106080 1440965398006400 1466696922970800 1642700553727296 1711146410132600 1955595897294400 2053375692159120 2161448097009600 2346715076753280 2566719615198900 2649517022140800 2737834256212160 2933393845941600 3285401107454592 3422292820265200 3911191794588800 4106751384318240 4322896194019200 5133439230397800 5475668512424320 5866787691883200 6844585640530400 8213502768636480 10266878460795600 11733575383766400 13689171281060800 16427005537272960 20533756921591200 27378342562121600 41067513843182400 82135027686364800
- Sum of all divisors σ(n): 337354152693809760
- Sum of proper divisors (its aliquot sum) s(n): 255219125007444960
- 82135027686364800 is an abundant number, because the sum of its proper divisors (255219125007444960) is greater than itself. Its abundance is 173084097321080160
Bases of 82135027686364800
- Binary: 1001000111100110101011111010111001101110011010110100000002
- Hexadecimal: 0x123CD5F5CDCD680
- Base-36: MGQFQTGW22O
Squares and roots of 82135027686364800
- 82135027686364800 squared (821350276863648002) is 6746162773039912230795838679040000
- 82135027686364800 cubed (821350276863648003) is 554096266140356725639031191698334389851553792000000
-
The
square root of 82135027686364800 is 286592092.8538762041 -
The
cube root of 82135027686364800 is 434686.4833667763
Scales and comparisons
How big is 82135027686364800?- 82,135,027,686,364,800 seconds is equal to 2,611,639,820 years, 5 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 82,135,027,686,364,800 would take you about seven billion, eight hundred thirty-four million, nine hundred nineteen thousand, four hundred sixty 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 82135027686364800 cubic inches would be around 36223.9 feet tall.
Recreational maths with 82135027686364800
- 82135027686364800 backwards is 00846368672053128
- The number of decimal digits it has is: 17
- The sum of 82135027686364800's digits is 69
- More coming soon!
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"Number 82135027686364800 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 82135027686364800 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/82135027686364800/
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The information we have on file for 82135027686364800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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