72980702734938336
72,980,702,734,938,336 is an even composite number composed of six prime numbers multiplied together.
What does the number 72980702734938336 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
72980702734938336 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 72980702734938336:
25 × 32 × 13 × 29 × 313 × 2147483647
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 29 × 313 × 2147483647)See below for interesting mathematical facts about the number 72980702734938336 from the Numbermatics database.
Names of 72980702734938336
- Cardinal: 72980702734938336 can be written as Seventy-two quadrillion, nine hundred eighty trillion, seven hundred two billion, seven hundred thirty-four million, nine hundred thirty-eight thousand, three hundred thirty-six.
Scientific notation
- Scientific notation: 7.2980702734938336 × 1016
Factors of 72980702734938336
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 2147484007
Divisors of 72980702734938336
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 72 78 87 96 104 116 117 144 156 174 208 232 234 261 288 312 313 348 377 416 464 468 522 624 626 696 754 928 936 939 1044 1131 1248 1252 1392 1508 1872 1878 2088 2262 2504 2784 2817 3016 3393 3744 3756 4069 4176 4524 5008 5634 6032 6786 7512 8138 8352 9048 9077 10016 11268 12064 12207 13572 15024 16276 18096 18154 22536 24414 27144 27231 30048 32552 36192 36308 36621 45072 48828 54288 54462 65104 72616 73242 81693 90144 97656 108576 108924 118001 130208 145232 146484 163386 195312 217848 236002 290464 292968 326772 354003 390624 435696 472004 585936 653544 708006 871392 944008 1062009 1171872 1307088 1416012 1888016 2124018 2614176 2832024 3776032 4248036 5664048 8496072 11328096 16992144 33984288 2147483647 4294967294 6442450941 8589934588 12884901882 17179869176 19327352823 25769803764 27917287411 34359738352 38654705646 51539607528 55834574822 62277025763 68719476704 77309411292 83751862233 103079215056 111669149644 124554051526 154618822584 167503724466 186831077289 206158430112 223338299288 249108103052 251255586699 309237645168 335007448932 373662154578 446676598576 498216206104 502511173398 560493231867 618475290336 670014897864 672162381511 747324309156 809601334919 893353197152 996432412208 1005022346796 1120986463734 1340029795728 1344324763022 1494648618312 1619202669838 1992864824416 2010044693592 2016487144533 2241972927468 2428804004757 2680059591456 2688649526044 2989297236624 3238405339676 4020089387184 4032974289066 4483945854936 4857608009514 5377299052088 5978594473248 6049461433599 6476810679352 7286412014271 8040178774368 8065948578132 8738110959643 8967891709872 9715216019028 10754598104176 12098922867198 12953621358704 14572824028542 16131897156264 17476221919286 17935783419744 19430432038056 19492709063819 21509196208352 24197845734396 25907242717408 26214332878929 29145648057084 32263794312528 34952443838572 38860864076112 38985418127638 48395691468792 52428665757858 58291296114168 58478127191457 64527588625056 69904887677144 77721728152224 77970836255276 78642998636787 96791382937584 104857331515716 116582592228336 116956254382914 139809775354288 155941672510552 157285997273574 175434381574371 193582765875168 209714663031432 233165184456672 233912508765828 253405217829647 279619550708576 311883345021104 314571994547148 350868763148742 419429326062864 467825017531656 506810435659294 623766690042208 629143989094296 701737526297484 760215653488941 838858652125728 935650035063312 1013620871318588 1258287978188592 1403475052594968 1520431306977882 1871300070126624 2027241742637176 2280646960466823 2516575956377184 2806950105189936 3040862613955764 4054483485274352 4561293920933646 5613900210379872 6081725227911528 8108966970548704 9122587841867292 12163450455823056 18245175683734584 24326900911646112 36490351367469168 72980702734938336
- Sum of all divisors σ(n): 231949107525058560
- Sum of proper divisors (its aliquot sum) s(n): 158968404790120224
- 72980702734938336 is an abundant number, because the sum of its proper divisors (158968404790120224) is greater than itself. Its abundance is 85987702055181888
Bases of 72980702734938336
- Binary: 1000000110100011110001111111111011111100101110000111000002
- Hexadecimal: 0x103478FFDF970E0
- Base-36: JYLHZZQH6G0
Squares and roots of 72980702734938336
- 72980702734938336 squared (729807027349383362) is 5326182971685435916118101722448896
- 72980702734938336 cubed (729807027349383363) is 388708576168465286776341566238202848580317471277056
-
The
square root of 72980702734938336 is 270149408.1706238645 -
The
cube root of 72980702734938336 is 417897.0899925583
Scales and comparisons
How big is 72980702734938336?- 72,980,702,734,938,336 seconds is equal to 2,320,560,602 years, 43 weeks, 3 days, 3 hours, 45 minutes, 36 seconds.
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To count from 1 to 72,980,702,734,938,336 would take you about six billion, nine hundred sixty-one million, six hundred eighty-one thousand, eight hundred eight 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 72980702734938336 cubic inches would be around 34824.8 feet tall.
Recreational maths with 72980702734938336
- 72980702734938336 backwards is 63383943720708927
- The number of decimal digits it has is: 17
- The sum of 72980702734938336's digits is 81
- More coming soon!
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