131306146531105
131,306,146,531,105 is an odd composite number composed of seven prime numbers multiplied together.
131306146531105 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 131306146531105:
5 × 73 × 13 × 292 × 83 × 139 × 607
(5 × 7 × 7 × 7 × 13 × 29 × 29 × 83 × 139 × 607)See below for interesting mathematical facts about the number 131306146531105 from the Numbermatics database.
Names of 131306146531105
- Cardinal: 131306146531105 can be written as One hundred thirty-one trillion, three hundred six billion, one hundred forty-six million, five hundred thirty-one thousand, one hundred five.
Scientific notation
- Scientific notation: 1.31306146531105 × 1014
Factors of 131306146531105
Divisors of 131306146531105
- Number of divisors d(n): 384
-
Complete list of divisors:
1 5 7 13 29 35 49 65 83 91 139 145 203 245 343 377 415 455 581 607 637 695 841 973 1015 1079 1421 1715 1807 1885 2407 2639 2905 3035 3185 4031 4067 4205 4249 4459 4865 5395 5887 6811 7105 7553 7891 9035 9947 10933 11537 12035 12649 13195 16849 17603 18473 20155 20335 21245 22295 28217 28469 29435 29743 31291 34055 37765 39455 41209 47677 49735 50381 52403 52871 54665 55237 57685 63245 69803 76531 80759 84245 84373 88015 88543 92365 116899 117943 123221 129311 141085 142345 148715 149981 156455 197519 206045 208201 219037 228839 238385 251905 262015 264355 276185 288463 334573 349015 352667 366821 370097 382655 386659 403795 421865 442715 488621 510487 535717 565313 584495 589715 590611 616105 619801 646555 654953 749905 818293 825601 862547 907439 987595 1041005 1049867 1095185 1096849 1144195 1382633 1442315 1461049 1519687 1533259 1601873 1672865 1763335 1834105 1850485 1933295 2342011 2443105 2446817 2468669 2552435 2567747 2678585 2706613 2826565 2953055 3099005 3274765 3420347 3573409 3750019 3957191 4091465 4128005 4134277 4312735 4349449 4537195 4584671 5249335 5484245 5728051 6037829 6352073 6636331 6913165 7002959 7305245 7349069 7598435 7666295 7677943 8009365 9702617 10227343 10637809 10732813 11213111 11710055 12234085 12343345 12838735 13533065 16394077 17101735 17127719 17280683 17867045 17974229 18750095 18993637 19785955 20671385 21747245 22923355 23942429 25013863 28640255 28939939 30189145 30446143 31760365 31808621 32092697 33181655 35014795 36745345 38389715 40096357 42370421 44464511 46454317 48513085 49020713 51136715 51443483 53189045 53664065 53745601 56065555 67918319 70957693 71591401 74464663 78491777 81970385 85638595 86403415 89871145 91038467 94968185 114758539 119712145 119894033 125069315 126134021 132955459 144699695 152230715 159043105 160463485 175097041 200481785 203085811 211852105 213123001 222322555 222660347 224648879 232271585 245103565 257217415 268728005 296592947 311251577 325180219 339591595 343144991 354788465 357957005 372323315 376219207 392458885 455192335 475428233 496703851 501139807 521252641 550815473 573792695 599470165 630670105 637269269 664777295 839258231 875485205 882938147 922450009 930688213 1015429055 1065615005 1113301735 1123244395 1421600677 1482964735 1491861007 1556257885 1558622429 1625901095 1715724955 1881096035 2076150629 2276261533 2377141165 2402014937 2483519255 2505699035 2606263205 2640115543 2754077365 3186346345 3327997631 3476926957 3855708311 4196291155 4414690735 4460884883 4612250045 4653441065 5889488519 6180567029 6457150063 6514817491 7108003385 7459305035 7793112145 9951204739 10380753145 10910357003 11381307665 12010074685 13200577715 14533054403 16639988155 17384634785 18480808801 19278541555 22304424415 24338488699 26989958177 29447442595 30902835145 31226194181 32285750315 32574087455 41226419633 43263969203 45200050441 49756023695 54551785015 69658433173 72665272015 76563350747 92404044005 121692443495 129365661607 134949790885 156130970905 188929707239 206132098165 216319846015 226000252205 288584937431 316400353087 348292165865 382816753735 535943455229 646828308035 905559631249 944648536195 1442924687155 1582001765435 2020094562017 2679717276145 3751604186603 4527798156245 10100472810085 18758020933015 26261229306221 131306146531105
- Sum of all divisors σ(n): 209251381248000
- Sum of proper divisors (its aliquot sum) s(n): 77945234716895
- 131306146531105 is a deficient number, because the sum of its proper divisors (77945234716895) is less than itself. Its deficiency is 53360911814210
Bases of 131306146531105
- Binary: 111011101101100000110000011100010000111001000012
- Hexadecimal: 0x776C18388721
- Base-36: 1AJL7LF4TD
Squares and roots of 131306146531105
- 131306146531105 squared (1313061465311052) is 17241304116848017624732521025
- 131306146531105 cubed (1313061465311053) is 2263889204754189685022268017240285228982625
-
The
square root of 131306146531105 is 11458889.4108942775 -
The
cube root of 131306146531105 is 50827.0634273007
Scales and comparisons
How big is 131306146531105?- 131,306,146,531,105 seconds is equal to 4,175,129 years, 15 weeks, 5 days, 7 hours, 58 minutes, 25 seconds.
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To count from 1 to 131,306,146,531,105 would take you about ten million, four hundred thirty-seven thousand, eight hundred twenty-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 131306146531105 cubic inches would be around 4235.6 feet tall.
Recreational maths with 131306146531105
- 131306146531105 backwards is 501135641603131
- The number of decimal digits it has is: 15
- The sum of 131306146531105's digits is 40
- More coming soon!
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