138791971298203016

Names of 138791971298203016

• Cardinal: 138791971298203016 can be written as One hundred thirty-eight quadrillion, seven hundred ninety-one trillion, nine hundred seventy-one billion, two hundred ninety-eight million, two hundred three thousand and sixteen.

Scientific notation

• Scientific notation: 1.38791971298203016 × 10¹⁷

Factors of 138791971298203016

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 386

Divisors of 138791971298203016

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 8 17 19 34 38 68 76 97 136 152 194 251 323 361 388 502 646 722 776 1004 1292 1444 1649 1843 2008 2584 2888 3298 3686 4267 4769 6137 6596 6859 7372 8534 9409 9538 12274 13192 13718 14744 17068 18818 19076 24347 24548 27436 31331 34136 35017 37636 38152 48694 49096 54872 62662 63001 70034 75272 81073 90611 97388 116603 125324 126002 140068 159953 162146 178771 181222 194776 233206 250648 252004 280136 319906 324292 357542 362444 413899 462593 466412 504008 595289 639812 648584 665323 715084 724888 827798 925186 932824 1071017 1190578 1197019 1279624 1330646 1430168 1540387 1655596 1721609 1850372 2142034 2361659 2381156 2394038 2661292 3039107 3080774 3311192 3396649 3443218 3700744 4284068 4723318 4762312 4788076 5322584 6078214 6111097 6161548 6793298 6886436 7864081 8568136 8789267 9446636 9576152 11310491 12156428 12222194 12323096 13586596 13772872 15728162 15813251 17578534 18893272 20349323 22620982 22743361 24312856 24444388 27173192 29267353 31456324 31626502 35157068 40148203 40698646 44871521 45241964 45486722 48888776 57743033 58534706 62912648 63253004 64536331 70314136 80296406 81397292 89743042 90483928 90973444 103888649 115486066 116110843 117069412 126506008 129072662 149417539 160592812 162794584 166996073 179486084 181946888 207777298 230972132 232221686 234138824 258145324 268825267 298835078 300451769 321185624 333992146 358972168 386637137 415554596 432123859 461944264 464443372 516290648 537650534 592776409 597670156 600903538 667984292 762815857 773274274 831109192 852558899 864247718 928886744 1075301068 1097117627 1185552818 1195340312 1201807076 1335968584 1525631714 1533885347 1546548548 1705117798 1728495436 1973884331 2150602136 2194235254 2206106017 2371105636 2403614152 2838933241 3051263428 3067770694 3093097096 3410235596 3456990872 3947768662 4388470508 4412212034 4742211272 5107680073 5677866482 5708583611 6102526856 6135541388 6820471192 7346105603 7895537324 8776941016 8824424068 10077198953 10215360146 11262751771 11355732964 11417167222 12271082776 14493501283 14692211206 15791074648 16198619081 17648848136 20154397906 20430720292 22525503542 22711465928 22834334444 26076050899 28987002566 29143821593 29384422412 32397238162 37503802289 40308795812 40861440584 41916014323 45051007084 45668668888 52152101798 57974005132 58287643186 58768844824 64794476324 75007604578 80617591624 83832028646 90102014168 97045921387 104304203596 108463088609 115948010264 116575286372 129588952648 148786878659 150015209156 167664057292 191466780107 194091842774 208608407192 213992283649 216926177218 233150572744 275376524377 297573757318 300030418312 335328114584 382933560214 388183685548 427984567298 433852354436 495444967081 550753048754 553732610267 595147514636 712572243491 765867120428 776367371096 855969134596 867704708872 990889934162 1101506097508 1107465220534 1190295029272 1425144486982 1531734240856 1711938269192 1843872506353 1981779868324 2203012195016 2214930441068 2529376937203 2826950694521 2850288973964 3637868822033 3687745012706 3963559736648 4065853389331 4429860882136 5058753874406 5653901389042 5700577947928 7275737644066 7375490025412 8131706778662 9413454374539 10117507748812 10520919595073 11307802778084 14551475288132 14750980050824 16263413557324 18826908749078 20235015497624 21041839190146 22615605556168 29102950576264 32526827114648 37653817498156 42083678380292 48058161806857 53712063195899 69119507618627 75307634996312 84167356760584 96116323613714 107424126391798 138239015237254 178855633116241 192232647227428 214848252783596 276478030474508 357711266232482 384465294454856 429696505567192 552956060949016 715422532464964 913105074330283 1020529200722081 1430845064929928 1826210148660566 2041058401444162 3652420297321132 4082116802888324 7304840594642264 8164233605776648 17348996412275377 34697992824550754 69395985649101508 138791971298203016
• Sum of all divisors σ(n): 295053452912534400
• Sum of proper divisors (its aliquot sum) s(n): 156261481614331384
• 138791971298203016 is an abundant number, because the sum of its proper divisors (156261481614331384) is greater than itself. Its abundance is 17469510316128368

Bases of 138791971298203016

• Binary: 111101101000101101001000000000010111001111101010110001000₂
• Hexadecimal: 0x1ED169002E7D588
• Base-36: 11YLNBE8G0AW

Squares and roots of 138791971298203016

• 138791971298203016 squared (138791971298203016²) is 19263211296841209786494110751496256
• 138791971298203016 cubed (138791971298203016³) is 2673579069422405286855326842513716461694786051908096
• The square root of 138791971298203016 is 372547944.9657493629
• The cube root of 138791971298203016 is 517751.5981006615

Scales and comparisons

• 138,791,971,298,203,016 seconds is equal to 4,413,155,375 years, 27 weeks, 3 days, 3 hours, 56 minutes, 56 seconds.
• To count from 1 to 138,791,971,298,203,016 would take you about thirteen billion, two hundred thirty-nine million, four hundred sixty-six thousand, one hundred twenty-six 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 138791971298203016 cubic inches would be around 43146 feet tall.

Recreational maths with 138791971298203016

• 138791971298203016 backwards is 610302892179197831
• The number of decimal digits it has is: 18
• The sum of 138791971298203016's digits is 77
• More coming soon!