137338329141075831175

Names of 137338329141075831175

• Cardinal: 137338329141075831175 can be written as One hundred thirty-seven quintillion, three hundred thirty-eight quadrillion, three hundred twenty-nine trillion, one hundred forty-one billion, seventy-five million, eight hundred thirty-one thousand, one hundred seventy-five.

Scientific notation

• Scientific notation: 1.37338329141075831175 × 10²⁰

Factors of 137338329141075831175

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 196

Divisors of 137338329141075831175

• Number of divisors d(n): 252
• Complete list of divisors:
  1 5 11 25 53 55 121 127 265 275 583 605 635 1325 1397 2809 2915 3025 3175 6413 6731 6985 14045 14575 15367 16129 30899 32065 33655 34925 70225 74041 76835 80645 148877 154495 160325 168275 177419 339889 356743 370205 384175 403225 744385 772475 814451 854837 887095 1637647 1699445 1783715 1851025 1951609 2048383 3721925 3924173 4072255 4274185 4435475 7890481 8188235 8497225 8918575 9403207 9758045 10241915 18014117 18907379 19620865 20361275 21370925 22532213 39452405 40941175 43165903 45306361 47016035 48790225 51209575 86795291 90070585 94536895 98104325 103435277 108564299 112661065 197262025 207981169 215829515 226531805 235080175 247854343 418195493 433976455 450352925 472684475 498369971 517176385 542821495 563305325 954748201 1002091087 1039905845 1079147575 1132659025 1194207289 1239271715 2090977465 2169882275 2287792859 2401237133 2491849855 2585881925 2714107475 4600150423 4773741005 5010455435 5199529225 5482069681 5753907847 5971036445 6196358575 10454887325 11023001957 11438964295 12006185665 12459249275 13136280179 22164361129 23000752115 23868705025 25052277175 26413608463 27410348405 28769539235 29855182225 50601654653 53110827611 55115009785 57194821475 60030928325 63292986317 65681400895 110821805645 115003760575 121253021527 127265568049 132068042315 137051742025 143847696175 243807972419 253008273265 265554138055 275575048925 290549693093 304957115891 316464931585 328407004475 554109028225 584219103721 606265107635 636327840245 660340211575 696222849487 1219039862095 1265041366325 1327770690275 1399921248539 1452748465465 1524785579455 1582324657925 2681887696609 2814873863383 2921095518605 3031325538175 3181639201225 3354528274801 3481114247435 6095199310475 6426410140931 6745075106597 6999606242695 7263742327325 7623927897275 13409438483045 14074369316915 14605477593025 15399133733929 16162727142223 16772641374005 17405571237175 30963612497213 32132050704655 33725375532985 34998031213475 36899811022811 67047192415225 70371846584575 74195826172567 76995668669645 80813635711115 83863206870025 154818062486065 160660253523275 168626877664925 177789998564453 184499055114055 340599737469343 357488980649641 370979130862835 384978343348225 404068178555575 774090312430325 816154087898237 856624538537819 888949992822265 922495275570275 1702998687346715 1787444903248205 1854895654314175 1955689984208983 3932378787146051 4080770439491185 4283122692689095 4444749964111325 8514993436733575 8937224516241025 9422869923916009 9778449921044915 19661893935730255 20403852197455925 21415613463445475 43256166658606561 45401100542504407 47114349619580045 48892249605224575 98309469678651275 103651569163076099 216280833293032805 227005502712522035 235571748097900225 499412105967548477 518257845815380495 1081404166465164025 1135027513562610175 2497060529837742385 2591289229076902475 5493533165643033247 12485302649188711925 27467665828215166235 137338329141075831175
• Sum of all divisors σ(n): 192302714822257096960
• Sum of proper divisors (its aliquot sum) s(n): 54964385681181265785
• 137338329141075831175 is a deficient number, because the sum of its proper divisors (54964385681181265785) is less than itself. Its deficiency is 82373943459894565390

Bases of 137338329141075831175

• Binary: 1110111000111110011110000101011010001000011100000001110100110000111₂
• Hexadecimal: 0x771F3C2B44380E987
• Base-36: SZFK6JJF7FEDJ

Squares and roots of 137338329141075831175

• 137338329141075831175 squared (137338329141075831175²) is 18861816651262478851623603291717101880625
• 137338329141075831175 cubed (137338329141075831175³) is 2590450383449711047427133930126985645635251116396327503484375
• The square root of 137338329141075831175 is 11719143703.4058009359
• The cube root of 137338329141075831175 is 5159376.8795289367

Scales and comparisons

• 137,338,329,141,075,831,175 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,338,329,141,075,831,175 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137338329141075831175 cubic inches would be around 429948.1 feet tall.

Recreational maths with 137338329141075831175

• 137338329141075831175 backwards is 571138570141923833731
• The number of decimal digits it has is: 21
• The sum of 137338329141075831175's digits is 82
• More coming soon!