82042382142003200

Names of 82042382142003200

• Cardinal: 82042382142003200 can be written as Eighty-two quadrillion, forty-two trillion, three hundred eighty-two billion, one hundred forty-two million, three thousand, two hundred.

Scientific notation

• Scientific notation: 8.20423821420032 × 10¹⁶

Factors of 82042382142003200

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 744420

Divisors of 82042382142003200

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 128 148 160 185 200 256 296 320 370 400 512 592 640 740 800 925 1024 1184 1280 1480 1600 1850 2048 2368 2560 2960 3200 3700 4736 5120 5920 6400 7400 9472 10240 11840 12800 14800 18944 23680 25600 29600 37888 47360 51200 59200 63617 75776 94720 118400 127234 189440 236800 254468 318085 378880 473600 508936 636170 680759 947200 1017872 1272340 1361518 1590425 1894400 2035744 2353829 2544680 2723036 3180850 3403795 4071488 4707658 5089360 5446072 6361700 6807590 8142976 9415316 10178720 10892144 11769145 12723400 13615180 16285952 17018975 18830632 20357440 21784288 23538290 25188083 25446800 27230360 32571904 34037950 37661264 40714880 43568576 47076580 50376166 50893600 54460720 58845725 65143808 68075900 75322528 81429760 87137152 94153160 100752332 101787200 108921440 117691450 125940415 130287616 136151800 150645056 162859520 174274304 188306320 201504664 203574400 217842880 235382900 251880830 272303600 301290112 325719040 348548608 376612640 403009328 407148800 435685760 470765800 503761660 544607200 602580224 629702075 651438080 697097216 753225280 806018656 814297600 871371520 941531600 1007523320 1089214400 1205160448 1259404150 1394194432 1506450560 1612037312 1628595200 1742743040 1883063200 2015046640 2178428800 2410320896 2518808300 3012901120 3224074624 3257190400 3485486080 3766126400 4030093280 4356857600 4820641792 5037616600 6025802240 6448149248 6970972160 7532252800 8060186560 8713715200 10075233200 12051604480 12896298496 15064505600 16120373120 17427430400 20150466400 24103208960 25792596992 30129011200 32240746240 34854860800 40300932800 43307845303 51585193984 60258022400 64481492480 80601865600 86615690606 120516044800 128962984960 161203731200 173231381212 216539226515 257925969920 322407462400 346462762424 433078453030 644814924800 692925524848 866156906060 1082696132575 1289629849600 1385851049696 1602390276211 1732313812120 2165392265150 2771702099392 3204780552422 3464627624240 4330784530300 5543404198784 6409561104844 6929255248480 8011951381055 8661569060600 11086808397568 12819122209688 13858510496960 16023902762110 17323138121200 22173616795136 25638244419376 27717020993920 32047805524220 34646276242400 40059756905275 44347233590272 51276488838752 55434041987840 64095611048440 69292552484800 80119513810550 88694467180544 102552977677504 110868083975680 128191222096880 138585104969600 160239027621100 205105955355008 221736167951360 256382444193760 277170209939200 320478055242200 410211910710016 443472335902720 512764888387520 554340419878400 640956110484400 820423821420032 1025529776775040 1108680839756800 1281912220968800 1640847642840064 2051059553550080 2217361679513600 2563824441937600 3281695285680128 4102119107100160 5127648883875200 8204238214200320 10255297767750400 16408476428400640 20510595535500800 41021191071001600 82042382142003200
• Sum of all divisors σ(n): 208916738843248800
• Sum of proper divisors (its aliquot sum) s(n): 126874356701245600
• 82042382142003200 is an abundant number, because the sum of its proper divisors (126874356701245600) is greater than itself. Its abundance is 44831974559242400

Bases of 82042382142003200

• Binary: 100100011011110010001110010100100000110011101100000000000₂
• Hexadecimal: 0x123791CA419D800
• Base-36: MFTLI1JTBSW

Squares and roots of 82042382142003200

• 82042382142003200 squared (82042382142003200²) is 6730952467534485579409708810240000
• 82042382142003200 cubed (82042382142003200³) is 552223374521123653517215727348508353802272768000000
• The square root of 82042382142003200 is 286430414.1357952929
• The cube root of 82042382142003200 is 434522.9846409975

Scales and comparisons

• 82,042,382,142,003,200 seconds is equal to 2,608,693,978 years, 19 weeks, 53 minutes, 20 seconds.
• To count from 1 to 82,042,382,142,003,200 would take you about seven billion, eight hundred twenty-six million, eighty-one thousand, nine hundred thirty-five 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 82042382142003200 cubic inches would be around 36210.2 feet tall.

Recreational maths with 82042382142003200

• 82042382142003200 backwards is 00230024128324028
• The number of decimal digits it has is: 17
• The sum of 82042382142003200's digits is 41
• More coming soon!