138517188073407

Names of 138517188073407

• Cardinal: 138517188073407 can be written as One hundred thirty-eight trillion, five hundred seventeen billion, one hundred eighty-eight million, seventy-three thousand, four hundred seven.

Scientific notation

• Scientific notation: 1.38517188073407 × 10¹⁴

Factors of 138517188073407

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 63

Divisors of 138517188073407

• Number of divisors d(n): 576
• Complete list of divisors:
  1 3 9 11 13 17 19 27 33 39 51 57 81 99 117 121 143 153 171 187 209 221 243 247 297 323 351 361 363 429 459 513 561 627 663 729 741 891 969 1053 1083 1089 1287 1377 1539 1573 1683 1881 1989 2057 2187 2223 2299 2431 2673 2717 2907 3159 3249 3267 3553 3861 3971 4131 4199 4617 4693 4719 5049 5643 5967 6137 6171 6561 6669 6897 7293 8019 8151 8721 9477 9747 9801 10659 11583 11913 12393 12597 13851 14079 14157 15147 16929 17901 18411 18513 19683 20007 20691 21879 24057 24453 26163 26741 28431 29241 29403 29887 31977 34749 35739 37179 37791 39083 41553 42237 42471 43681 45441 46189 50787 51623 53703 55233 55539 59049 60021 62073 65637 67507 72171 73359 78489 79781 80223 85293 87723 88209 89661 95931 104247 107217 111537 113373 117249 124659 126711 127413 131043 136323 138567 152361 154869 161109 165699 166617 177147 180063 186219 196911 202521 216513 220077 235467 239343 240669 255879 263169 264627 268983 287793 312741 321651 334611 340119 351747 373977 380133 382239 393129 408969 415701 457083 464607 483327 497097 499851 508079 531441 540189 558657 567853 590733 607563 649539 660231 706401 718029 722007 742577 767637 789507 793881 806949 863379 877591 938223 964953 1003833 1020357 1055241 1121931 1140399 1146717 1179387 1226907 1247103 1371249 1393821 1449981 1491291 1499553 1524237 1594323 1620567 1675971 1703559 1772199 1822689 1948617 1980693 2119203 2154087 2166021 2227731 2302911 2368521 2381643 2420847 2590137 2632773 2814669 2894859 3011499 3061071 3165723 3365793 3421197 3440151 3538161 3680721 3741309 4113747 4181463 4349943 4473873 4498659 4572711 4782969 4861701 5027913 5110677 5316597 5468067 5845851 5942079 6357609 6462261 6498063 6683193 6908733 7105563 7144929 7262541 7770411 7898319 8444007 8684577 9034497 9183213 9497169 9653501 10097379 10263591 10320453 10614483 11042163 11223927 12341241 12544389 13049829 13421619 13495977 13718133 14348907 14585103 15083739 15332031 15949791 16404201 17537553 17826237 19072827 19386783 19494189 20049579 20726199 21316689 21434787 21787623 23311233 23694957 25332021 26053731 27103491 27549639 28491507 28960503 30292137 30790773 30961359 31843449 33126489 33671781 37023723 37633167 39149487 40264857 40487931 41154399 43755309 45251217 45996093 47849373 49212603 52612659 53478711 57218481 58160349 58482567 60148737 62178597 63950067 64304361 65362869 69933699 71084871 75996063 78161193 81310473 82648917 85474521 86881509 90876411 92372319 92884077 95530347 99379467 101015343 111071169 112899501 117448461 120794571 121463793 123463197 131265927 135753651 137988279 143548119 147637809 157837977 160436133 171655443 174481047 175447701 180446211 186535791 191850201 192913083 196088607 209801097 213254613 227988189 234483579 243931419 247946751 256423563 260644527 272629233 277116957 278652231 286591041 298138401 303046029 333213507 338698503 352345383 362383713 364391379 370389591 393797781 407260953 413964837 430644357 442913427 481308399 514966329 523443141 526343103 541338633 575550603 578739249 588265821 629403291 639763839 683964567 703450737 743840253 769270689 781933581 831350871 835956693 859773123 894415203 909138087 999640521 1016095509 1057036149 1087151139 1093174137 1111168773 1181393343 1221782859 1241894511 1291933071 1328740281 1443925197 1544898987 1570329423 1579029309 1624015899 1726651809 1736217747 1764797463 1888209873 1919291517 2051893701 2110352211 2231520759 2307812067 2345800743 2494052613 2507870079 2579319369 2683245609 2727414261 2998921563 3048286527 3171108447 3261453417 3279522411 3333506319 3544180029 3665348577 3725683533 3875799213 3986220843 4331775591 4634696961 4710988269 4737087927 4872047697 5179955427 5294392389 5664629619 5757874551 6331056633 6694562277 6923436201 7037402229 7482157839 7523610237 7737958107 8182242783 9144859581 9784360251 9838567233 10000518957 10996045731 11177050599 11627397639 11958662529 12995326773 14132964807 14211263781 14616143091 15883177167 16993888857 17273623653 18993169899 20083686831 20770308603 21112206687 22446473517 22570830711 23213874321 24546728349 27434578743 29353080753 29515701699 30001556871 32988137193 33531151797 34882192917 35875987587 38985980319 42398894421 42633791343 43848429273 47649531501 50981666571 51820870959 56979509697 60251060493 62310925809 63336620061 67339420551 69641622963 73640185047 82303736229 88059242259 90004670613 100593455391 107627962761 127196683263 127901374029 131545287819 142948594503 155462612877 186932777427 190009860183 208924868889 220920555141 246911208687 270014011839 301780366173 322883888283 381590049789 383704122087 394635863457 428845783509 466387838631 560798332281 570029580549 626774606667 662761665423 740733626061 810042035517 905341098519 968651664849 1144770149367 1183907590371 1399163515893 1710088741647 2430126106551 2716023295557 3551722771113 4197490547679 5130266224941 7290378319653 8148069886671 10655168313339 12592471643037 15390798674823 46172396024469 138517188073407
• Sum of all divisors σ(n): 274844611762560
• Sum of proper divisors (its aliquot sum) s(n): 136327423689153
• 138517188073407 is a deficient number, because the sum of its proper divisors (136327423689153) is less than itself. Its deficiency is 2189764384254

Bases of 138517188073407

• Binary: 11111011111101100001011110010100101011110111111₂
• Hexadecimal: 0x7DFB0BCA57BF
• Base-36: 1D3LX1DCXR

Squares and roots of 138517188073407

• 138517188073407 squared (138517188073407²) is 19187011391763606444420587649
• 138517188073407 cubed (138517188073407³) is 2657730865519522070655009148712593089550143
• The square root of 138517188073407 is 11769332.5245490027
• The cube root of 138517188073407 is 51740.9687241357

Scales and comparisons

• 138,517,188,073,407 seconds is equal to 4,404,418 years, 6 weeks, 1 day, 7 hours, 3 minutes, 27 seconds.
• To count from 1 to 138,517,188,073,407 would take you about eleven million, eleven thousand and forty-five 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 138517188073407 cubic inches would be around 4311.7 feet tall.

Recreational maths with 138517188073407

• 138517188073407 backwards is 704370881715831
• The number of decimal digits it has is: 15
• The sum of 138517188073407's digits is 63
• More coming soon!