131006309742
131,006,309,742 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131006309742 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 512 divisors.
131006309742 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 131006309742:
2 × 33 × 73 × 11 × 61 × 83 × 127
(2 × 3 × 3 × 3 × 7 × 7 × 7 × 11 × 61 × 83 × 127)See below for interesting mathematical facts about the number 131006309742 from the Numbermatics database.
Names of 131006309742
- Cardinal: 131006309742 can be written as One hundred thirty-one billion, six million, three hundred nine thousand, seven hundred forty-two.
Scientific notation
- Scientific notation: 1.31006309742 × 1011
Factors of 131006309742
Divisors of 131006309742
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 61 63 66 77 83 98 99 122 126 127 147 154 166 183 189 198 231 249 254 294 297 343 366 378 381 427 441 462 498 539 549 581 594 671 686 693 747 762 854 882 889 913 1029 1078 1098 1143 1162 1281 1323 1342 1386 1397 1494 1617 1647 1743 1778 1826 2013 2058 2079 2241 2286 2562 2646 2667 2739 2794 2989 3087 3234 3294 3429 3486 3773 3843 4026 4067 4158 4191 4482 4697 4851 5063 5229 5334 5478 5978 6039 6174 6223 6391 6858 7546 7686 7747 8001 8134 8217 8382 8967 9261 9394 9702 9779 10126 10458 10541 11319 11529 12078 12201 12446 12573 12782 14091 14553 15189 15494 15687 16002 16434 17934 18117 18522 18669 19173 19558 20923 21082 22638 23058 23241 24003 24402 24651 25146 26901 28182 28469 29106 29337 30378 31374 31623 32879 33957 35441 36234 36603 37338 37719 38346 41846 42273 43561 44737 45567 46482 48006 49302 53802 54229 55693 56007 56938 57519 58674 62769 63246 65758 67914 68453 69723 70882 73206 73787 75438 80703 84546 85217 85407 87122 88011 89474 91134 94869 98637 101871 106323 108458 109809 111386 112014 115038 115951 125538 126819 130683 134211 136701 136906 139446 147574 161406 162687 167079 168021 170434 170814 172557 176022 188307 189738 197274 203742 205359 209169 212646 219618 221361 230153 231902 248087 253638 255651 256221 261366 264033 268422 273402 284607 295911 313159 318969 325374 334158 336042 345114 347853 376614 379603 389851 392049 402633 410718 418338 442722 460306 479171 488061 496174 501237 511302 512442 516509 528066 564921 569214 591822 596519 616077 626318 637938 643001 664083 690459 695706 744261 759206 766953 768663 779702 784098 805266 811657 887733 939477 956907 958342 976122 1002474 1033018 1043559 1129842 1138809 1169553 1176147 1193038 1207899 1232154 1286002 1328166 1380918 1437513 1464183 1488522 1503711 1533906 1537326 1549527 1623314 1736609 1775466 1789557 1848231 1878954 1913814 1929003 1992249 2071377 2087118 2232783 2277618 2300859 2339106 2352294 2415798 2434971 2657221 2728957 2818431 2875026 2928366 3007422 3099054 3130677 3416427 3473218 3508659 3579114 3615563 3696462 3858006 3984498 4142754 4175633 4312539 4465566 4501007 4601718 4648581 4869942 5209827 5314442 5368671 5457914 5636862 5681599 5787009 6214131 6261354 6698349 6832854 7017318 7073011 7231126 7304913 7971663 8186871 8351266 8455293 8625078 9002014 9297162 10249281 10419654 10525977 10737342 10846689 11363198 11574018 12428262 12526899 12937617 13396698 13503021 13945743 14146022 14609826 15629481 15943326 16106013 16373742 16910586 17044797 17361027 19102699 20498562 21051954 21219033 21693378 21914739 23914989 24560613 25053798 25875234 27006042 27891486 29229431 31258962 31507049 32212026 32540067 34089594 34722054 37580697 38205398 39771193 40509063 42438066 43829478 46888443 47829978 49121226 49511077 51134391 57308097 58458862 63014098 63657099 65080134 71744967 73681839 75161394 79542386 81018126 87688293 93776886 94521147 97620201 99022154 102268782 112742091 114616194 119313579 121527189 127314198 143489934 147363678 148533231 153403173 171924291 175376586 189042294 190971297 195240402 220549343 225484182 238627158 243054378 263064879 283563441 297066462 306806346 343848582 346577539 357940737 381942594 441098686 445599693 515772873 526129758 567126882 661648029 693155078 715881474 789194637 850690323 891199386 1031545746 1039732617 1073822211 1323296058 1336799079 1578389274 1701380646 1984944087 2079465234 2147644422 2426042773 2673598158 3119197851 3969888174 4852085546 5954832261 6238395702 7278128319 9357593553 11909664522 14556256638 18715187106 21834384957 43668769914 65503154871 131006309742
- Sum of all divisors σ(n): 383975424000
- Sum of proper divisors (its aliquot sum) s(n): 252969114258
- 131006309742 is an abundant number, because the sum of its proper divisors (252969114258) is greater than itself. Its abundance is 121962804516
Bases of 131006309742
- Binary: 11110100000001001010110100101011011102
- Hexadecimal: 0x1E8095A56E
- Base-36: 1O6LRVJI
Squares and roots of 131006309742
- 131006309742 squared (1310063097422) is 17162653192216844106564
- 131006309742 cubed (1310063097423) is 2248415860094084942654250639346488
-
The
square root of 131006309742 is 361947.9378888625 -
The
cube root of 131006309742 is 5078.8346178455
Scales and comparisons
How big is 131006309742?- 131,006,309,742 seconds is equal to 4,165 years, 30 weeks, 6 days, 17 hours, 35 minutes, 42 seconds.
-
To count from 1 to 131,006,309,742 would take you about eight thousand, three hundred thirty-one 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 131006309742 cubic inches would be around 423.2 feet tall.
Recreational maths with 131006309742
- 131006309742 backwards is 247903600131
- The number of decimal digits it has is: 12
- The sum of 131006309742's digits is 36
- More coming soon!
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