137307483007016
137,307,483,007,016 is an even composite number composed of six prime numbers multiplied together.
What does the number 137307483007016 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
137307483007016 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 137307483007016:
23 × 7 × 892 × 972 × 167 × 197
(2 × 2 × 2 × 7 × 89 × 89 × 97 × 97 × 167 × 197)See below for interesting mathematical facts about the number 137307483007016 from the Numbermatics database.
Names of 137307483007016
- Cardinal: 137307483007016 can be written as One hundred thirty-seven trillion, three hundred seven billion, four hundred eighty-three million, seven thousand and sixteen.
Scientific notation
- Scientific notation: 1.37307483007016 × 1014
Factors of 137307483007016
Divisors of 137307483007016
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 7 8 14 28 56 89 97 167 178 194 197 334 356 388 394 623 668 679 712 776 788 1169 1246 1336 1358 1379 1576 2338 2492 2716 2758 4676 4984 5432 5516 7921 8633 9352 9409 11032 14863 15842 16199 17266 17533 18818 19109 29726 31684 32398 32899 34532 35066 37636 38218 55447 59452 60431 63368 64796 65798 65863 69064 70132 75272 76436 104041 110894 113393 118904 120862 122731 129592 131596 131726 133763 140264 152872 208082 221788 226786 230293 241724 245462 263192 263452 267526 416164 443576 453572 460586 483448 490924 526904 535052 768337 832328 837401 907144 921172 981848 1070104 1322807 1441711 1536674 1560437 1571303 1674802 1700701 1842344 1853573 2645614 2883422 2928011 3073348 3120874 3142606 3191203 3349604 3401402 3707146 5291228 5378359 5766844 5856022 5861807 6146696 6241748 6285212 6382406 6699208 6802804 7414292 9259649 10091977 10582456 10756718 10923059 10999121 11533688 11712044 11723614 11904907 12483496 12570424 12764812 12975011 13605608 14828584 18519298 20183954 20496077 21513436 21846118 21998242 22338421 23424088 23447228 23809814 25529624 25950022 37038596 40367908 40992154 43026872 43692236 43996484 44676842 46894456 47619628 51900044 74077192 74528689 80735816 81984308 87384472 87992968 89353684 95239256 103800088 128312279 139845967 149057378 151362389 163968616 164967997 178707368 256624558 260592979 279691934 284017067 298114756 302724778 309546691 329935994 513249116 521185958 521700823 559383868 568034134 596229512 605449556 619093382 659871988 898185953 978921769 1026498232 1042371916 1043401646 1059536723 1118767736 1136068268 1154775979 1210899112 1238186764 1319743976 1796371906 1824150853 1957843538 1988119469 2084743832 2086803292 2119073446 2166826837 2272136536 2309551958 2476373528 3592743812 3648301706 3915687076 3976238938 4173606584 4238146892 4333653674 4619103916 7185487624 7296603412 7831374152 7952477876 8476293784 8667307348 9238207832 12446291063 14593206824 14682151733 15904955752 17334614696 24892582126 25277518963 27549655499 29364303466 49785164252 50555037926 55099310998 58728606932 87124037441 99570328504 101110075852 102775062131 110198621996 117457213864 174248074882 176942632741 192847588493 202220151704 205550124262 220397243992 348496149764 353885265482 385695176986 411100248524 696992299528 707770530964 771390353972 822200497048 1415541061928 1542780707944 2451919339411 4903838678822 9807677357644 17163435375877 19615354715288 34326870751754 68653741503508 137307483007016
- Sum of all divisors σ(n): 304008651999360
- Sum of proper divisors (its aliquot sum) s(n): 166701168992344
- 137307483007016 is an abundant number, because the sum of its proper divisors (166701168992344) is greater than itself. Its abundance is 29393685985328
Bases of 137307483007016
- Binary: 111110011100001011000111011111111101000001010002
- Hexadecimal: 0x7CE163BFE828
- Base-36: 1CO66Q7HUW
Squares and roots of 137307483007016
- 137307483007016 squared (1373074830070162) is 18853344889721987601505224256
- 137307483007016 cubed (1373074830070163) is 2588705333070913755066178818954068301380096
-
The
square root of 137307483007016 is 11717827.5719954165 -
The
cube root of 137307483007016 is 51589.9058594251
Scales and comparisons
How big is 137307483007016?- 137,307,483,007,016 seconds is equal to 4,365,953 years, 12 weeks, 3 days, 5 hours, 56 minutes, 56 seconds.
-
To count from 1 to 137,307,483,007,016 would take you about ten million, nine hundred fourteen thousand, eight hundred eighty-three 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 137307483007016 cubic inches would be around 4299.2 feet tall.
Recreational maths with 137307483007016
- 137307483007016 backwards is 610700384703731
- The number of decimal digits it has is: 15
- The sum of 137307483007016's digits is 50
- More coming soon!
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