82672564125102968448
82,672,564,125,102,968,448 is an even composite number composed of six prime numbers multiplied together.
82672564125102968448 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 82672564125102968448:
27 × 32 × 17 × 1229 × 2221 × 1546534333
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 1229 × 2221 × 1546534333)See below for interesting mathematical facts about the number 82672564125102968448 from the Numbermatics database.
Names of 82672564125102968448
- Cardinal: 82672564125102968448 can be written as Eighty-two quintillion, six hundred seventy-two quadrillion, five hundred sixty-four trillion, one hundred twenty-five billion, one hundred two million, nine hundred sixty-eight thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 8.2672564125102968448 × 1019
Factors of 82672564125102968448
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 1546537805
Divisors of 82672564125102968448
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1229 1632 2176 2221 2448 2458 3264 3687 4442 4896 4916 6528 6663 7374 8884 9792 9832 11061 13326 14748 17768 19584 19664 19989 20893 22122 26652 29496 35536 37757 39328 39978 41786 44244 53304 58992 62679 71072 75514 78656 79956 83572 88488 106608 113271 117984 125358 142144 151028 157312 159912 167144 176976 188037 213216 226542 235968 250716 284288 302056 319824 334288 339813 353952 376074 426432 453084 471936 501432 604112 639648 668576 679626 707904 752148 852864 906168 1002864 1208224 1279296 1337152 1359252 1415808 1504296 1812336 2005728 2416448 2558592 2674304 2718504 2729609 3008592 3624672 4011456 4832896 5437008 5459218 6017184 7249344 8022912 8188827 10874016 10918436 12034368 14498688 16377654 21748032 21836872 24068736 24566481 32755308 43496064 43673744 46403353 49132962 65510616 87347488 92806706 98265924 131021232 139210059 174694976 185613412 196531848 262042464 278420118 349389952 371226824 393063696 417630177 524084928 556840236 742453648 786127392 835260354 1048169856 1113680472 1484907296 1546534333 1572254784 1670520708 2227360944 2969814592 3093068666 3144509568 3341041416 4454721888 4639602999 5939629184 6186137332 6682082832 8909443776 9279205998 12372274664 13364165664 13918808997 17818887552 18558411996 24744549328 26291083661 26728331328 27837617994 37116823992 49489098656 52582167322 53456662656 55675235988 74233647984 78873250983 98978197312 105164334644 111350471976 148467295968 157746501966 197956394624 210328669288 222700943952 236619752949 296934591936 315493003932 420657338576 445401887904 473239505898 593869183872 630986007864 841314677152 890803775808 946479011796 1261972015728 1682629354304 1781607551616 1892958023592 1900690695257 2523944031456 3365258708608 3434852753593 3785916047184 3801381390514 5047888062912 5702072085771 6869705507186 7571832094368 7602762781028 10095776125824 10304558260779 11404144171542 13739411014372 15143664188736 15205525562056 17106216257313 20609116521558 22808288343084 27478822028744 30287328377472 30411051124112 30913674782337 32311741819369 34212432514626 41218233043116 45616576686168 54957644057488 58392496811081 60822102248224 61827349564674 64623483638738 68424865029252 82436466086232 91233153372336 96935225458107 109915288114976 116784993622162 121644204496448 123654699129348 129246967277476 136849730058504 164872932172464 175177490433243 182466306744672 193870450916214 219830576229952 233569987244324 243288408992896 247309398258696 258493934554952 273699460117008 290805676374321 329745864344928 350354980866486 364932613489344 387740901832428 439661152459904 467139974488648 494618796517392 516987869109904 525532471299729 547398920234016 581611352748642 659491728689856 700709961732972 729865226978688 775481803664856 934279948977296 989237593034784 1033975738219808 1051064942599458 1094797840468032 1163222705497284 1318983457379712 1401419923465944 1550963607329712 1868559897954592 1978475186069568 2067951476439616 2102129885198916 2189595680936064 2326445410994568 2802839846931888 3101927214659424 3737119795909184 3956950372139136 4135902952879232 4204259770397832 4221434034165797 4652890821989136 5605679693863776 6203854429318848 7474239591818368 8408519540795664 8442868068331594 9305781643978272 11211359387727552 12407708858637696 12664302102497391 16817039081591328 16885736136663188 18611563287956544 22422718775455104 25328604204994782 33634078163182656 33771472273326376 37223126575913088 37992906307492173 50657208409989564 67268156326365312 67542944546652752 71764378580818549 75985812614984346 101314416819979128 135085889093305504 143528757161637098 151971625229968692 202628833639958256 215293135742455647 270171778186611008 287057514323274196 303943250459937384 405257667279916512 430586271484911294 540343556373222016 574115028646548392 607886500919874768 645879407227366941 810515334559833024 861172542969822588 1148230057293096784 1215773001839749536 1291758814454733882 1621030669119666048 1722345085939645176 2296460114586193568 2431546003679499072 2583517628909467764 3444690171879290352 4592920229172387136 4863092007358998144 5167035257818935528 6889380343758580704 9185840458344774272 10334070515637871056 13778760687517161408 20668141031275742112 27557521375034322816 41336282062551484224 82672564125102968448
- Sum of all divisors σ(n): 252211433141051326800
- Sum of proper divisors (its aliquot sum) s(n): 169538869015948358352
- 82672564125102968448 is an abundant number, because the sum of its proper divisors (169538869015948358352) is greater than itself. Its abundance is 86866304890845389904
Bases of 82672564125102968448
- Binary: 10001111011010011111111001100001101110000110111011100001110100000002
- Hexadecimal: 0x47B4FF30DC3770E80
- Base-36: HG3V64HHJMOW0
Squares and roots of 82672564125102968448
- 82672564125102968448 squared (826725641251029684482) is 6834752859019262346865274058501283528704
- 82672564125102968448 cubed (826725641251029684483) is 565046544016500814875774138583107918856486256514958614331392
-
The
square root of 82672564125102968448 is 9092445442.5145146673 -
The
cube root of 82672564125102968448 is 4356326.9735776675
Scales and comparisons
How big is 82672564125102968448?- 82,672,564,125,102,968,448 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 82,672,564,125,102,968,448 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 82672564125102968448 cubic inches would be around 363027.2 feet tall.
Recreational maths with 82672564125102968448
- 82672564125102968448 backwards is 84486920152146527628
- The number of decimal digits it has is: 20
- The sum of 82672564125102968448's digits is 90
- More coming soon!
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