131408870638968

Names of 131408870638968

• Cardinal: 131408870638968 can be written as One hundred thirty-one trillion, four hundred eight billion, eight hundred seventy million, six hundred thirty-eight thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 1.31408870638968 × 10¹⁴

Factors of 131408870638968

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 377124

Divisors of 131408870638968

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 97 104 117 138 156 167 184 194 207 234 276 291 299 312 334 388 414 468 501 552 582 598 668 776 828 873 897 936 1002 1164 1196 1261 1336 1503 1656 1746 1794 2004 2171 2231 2328 2392 2522 2691 3006 3492 3588 3783 3841 4008 4342 4462 5044 5382 6012 6513 6693 6984 7176 7566 7682 8684 8924 10088 10764 11349 11523 12024 13026 13386 15132 15364 16199 17368 17848 19539 20079 21528 22698 23046 26052 26772 29003 30264 30728 32398 34569 39078 40158 45396 46092 48597 49933 52104 53544 58006 64796 69138 78156 80316 87009 90792 92184 97194 99866 116012 129592 138276 145791 149799 156312 160632 174018 194388 199732 210587 232024 261027 276552 291582 299598 348036 372577 376819 388776 399464 421174 449397 522054 583164 599196 631761 696072 745154 753638 842348 898794 1044108 1117731 1130457 1166328 1198392 1263522 1490308 1507276 1684696 1797588 1895283 2088216 2235462 2260914 2527044 2980616 3014552 3353193 3391371 3595176 3790566 4470924 4521828 4843501 4898647 5054088 6706386 6782742 7581132 8666837 8941848 9043656 9687002 9797294 13412772 13565484 14530503 14695941 15162264 17333674 19374004 19594588 26000511 26825544 27130968 29061006 29391882 34667348 36551443 38748008 39189176 43591509 44087823 52001022 58122012 58783764 62928773 69334696 73102886 78001533 87183018 88175646 104002044 109654329 112668881 116244024 117567528 125857546 146205772 156003066 174366036 176351292 188786319 208004088 219308658 225337762 251715092 292411544 312006132 328962987 338006643 348732072 352702584 377572638 438617316 450675524 475168759 503430184 566358957 624012264 657925974 676013286 755145276 818074049 840683189 877234632 901351048 950337518 1014019929 1132717914 1315851948 1352026572 1425506277 1447361779 1510290552 1636148098 1681366378 1900675036 2028039858 2265435828 2454222147 2522049567 2631703896 2704053144 2851012554 2894723558 3272296196 3362732756 3801350072 4056079716 4276518831 4342085337 4530871656 4908444294 5044099134 5702025108 5789447116 6104090981 6544592392 6725465512 7362666441 7566148701 8112159432 8553037662 8684170674 9816888588 10088198268 10928881457 11404050216 11578894232 12208181962 13026256011 14725332882 15132297402 17106075324 17368341348 18312272943 18815703127 19633777176 20176396536 21857762914 24416363924 26052512022 29450665764 30264594804 32786644371 34212150648 34736682696 36624545886 37631406254 43715525828 48832727848 52105024044 54936818829 56447109381 58901331528 60529189608 65573288742 73249091772 75262812508 79353182753 87431051656 98359933113 104210048088 109873637658 112894218762 131146577484 140394092563 146498183544 150525625016 158706365506 169341328143 196719866226 219747275316 225788437524 238059548259 262293154968 280788185126 317412731012 338682656286 393439732452 421182277689 439494550632 451576875048 476119096518 561576370252 634825462024 677365312572 714178644777 786879464904 842364555378 952238193036 1123152740504 1263546833067 1354730625144 1428357289554 1684729110756 1825123203319 1904476386072 2527093666134 2856714579108 3369458221512 3650246406638 5054187332268 5475369609957 5713429158216 7300492813276 10108374664536 10950739219914 14600985626552 16426108829871 21901478439828 32852217659742 43802956879656 65704435319484 131408870638968
• Sum of all divisors σ(n): 406483752729600
• Sum of proper divisors (its aliquot sum) s(n): 275074882090632
• 131408870638968 is an abundant number, because the sum of its proper divisors (275074882090632) is greater than itself. Its abundance is 143666011451664

Bases of 131408870638968

• Binary: 11101111000010000000011000011100000010101111000₂
• Hexadecimal: 0x7784030E0578
• Base-36: 1AKWEGP9Q0

Squares and roots of 131408870638968

• 131408870638968 squared (131408870638968²) is 17268291282609026100600105024
• 131408870638968 cubed (131408870638968³) is 2269206655312388315946490312533410786975232
• The square root of 131408870638968 is 11463370.8235827391
• The cube root of 131408870638968 is 50840.3144032975

Scales and comparisons

• 131,408,870,638,968 seconds is equal to 4,178,395 years, 31 weeks, 5 days, 18 hours, 22 minutes, 48 seconds.
• To count from 1 to 131,408,870,638,968 would take you about ten million, four hundred forty-five thousand, nine hundred eighty-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 131408870638968 cubic inches would be around 4236.7 feet tall.

Recreational maths with 131408870638968

• 131408870638968 backwards is 869836078804131
• 131408870638968 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 131408870638968's digits is 72
• More coming soon!