137872258850390938112

Names of 137872258850390938112

• Cardinal: 137872258850390938112 can be written as One hundred thirty-seven quintillion, eight hundred seventy-two quadrillion, two hundred fifty-eight trillion, eight hundred fifty billion, three hundred ninety million, nine hundred thirty-eight thousand, one hundred twelve.

Scientific notation

• Scientific notation: 1.37872258850390938112 × 10²⁰

Factors of 137872258850390938112

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 141055

Divisors of 137872258850390938112

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 4 8 16 29 32 58 64 116 127 128 232 254 256 464 508 512 841 928 1016 1682 1856 2032 3364 3683 3712 4064 6728 7366 7424 8128 13456 14732 14848 16129 16256 26912 29464 32258 32512 53824 58928 64516 65024 106807 107648 117856 129032 140897 213614 215296 235712 258064 281794 427228 430592 467741 471424 516128 563588 854456 935482 942848 1032256 1127176 1708912 1870964 1885696 2064512 2254352 3417824 3741928 4086013 4129024 4508704 6835648 7483856 8172026 8258048 9017408 13564489 13671296 14967712 16344052 17893919 18034816 27128978 27342592 29935424 32688104 35787838 36069632 54257956 54685184 59870848 65376208 71575676 72139264 108515912 118494377 119741696 130752416 143151352 217031824 236988754 239483392 261504832 286302704 434063648 473977508 518923651 523009664 572605408 868127296 947955016 1037847302 1046019328 1145210816 1736254592 1895910032 2075694604 2092038656 2272527713 2290421632 3472509184 3791820064 4151389208 4545055426 4580843264 6945018368 7583640128 8302778416 9090110852 9161686528 15048785879 15167280256 16605556832 18180221704 19851964609 30097571758 30334560512 33211113664 36360443408 39703929218 60195143516 60669121024 65903303677 66422227328 72720886816 79407858436 120390287032 131806607354 132844454656 145441773632 158815716872 240780574064 263613214708 265688909312 290883547264 317631433744 481561148128 527226429416 575706973661 581767094528 635262867488 963122296256 1054452858832 1151413947322 1163534189056 1270525734976 1911195806633 1926244592512 2108905717664 2302827894644 2521199505343 2541051469952 3822391613266 3852489185024 4217811435328 4605655789288 5042399010686 5082102939904 7644783226532 7704978370048 8435622870656 9211311578576 10084798021372 10164205879808 15289566453064 16695502236169 16871245741312 18422623157152 20169596042744 30579132906128 33391004472338 33742491482624 36845246314304 40339192085488 61158265812256 66782008944676 73114785654947 73690492628608 80678384170976 122316531624512 133564017889352 146229571309894 147380985257216 161356768341952 244633063249024 267128035778704 292459142619788 294761970514432 320192337178561 322713536683904 489266126498048 534256071557408 584918285239576 640384674357122 645427073367808 978532252996096 1068512143114816 1169836570479152 1280769348714244 1290854146735616 2120328783993463 2137024286229632 2339673140958304 2561538697428488 4240657567986926 4274048572459264 4679346281916608 5123077394856976 8481315135973852 8548097144918528 9285577778178269 9358692563833216 10246154789713952 16962630271947704 18571155556356538 18717385127666432 20492309579427904 33925260543895408 37142311112713076 37434770255332864 40984619158855808 67850521087790816 74284622225426152 81969238317711616 135701042175581632 148569244450852304 163938476635423232 269281755567169801 271402084351163264 297138488901704608 538563511134339602 542804168702326528 594276977803409216 1077127022268679204 1085608337404653056 1188553955606818432 2154254044537358408 2377107911213636864 4308508089074716816 4754215822427273728 8617016178149433632 17234032356298867264 34468064712597734528 68936129425195469056 137872258850390938112
• Sum of all divisors σ(n): 287568140468937909867
• Sum of proper divisors (its aliquot sum) s(n): 149695881618546971755
• 137872258850390938112 is an abundant number, because the sum of its proper divisors (149695881618546971755) is greater than itself. Its abundance is 11823622768156033643

Bases of 137872258850390938112

• Binary: 1110111100101011100101010001111001000100110010000100001001000000000₂
• Hexadecimal: 0x7795CA8F226421200
• Base-36: T3HLGTTP52LFK

Squares and roots of 137872258850390938112

• 137872258850390938112 squared (137872258850390938112²) is 19008759760509202363644141415007414124544
• 137872258850390938112 cubed (137872258850390938112³) is 2620780646125820004739611934186576452932920513158251364220928
• The square root of 137872258850390938112 is 11741901841.2858033103
• The cube root of 137872258850390938112 is 5166054.2638518603

Scales and comparisons

• 137,872,258,850,390,938,112 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,872,258,850,390,938,112 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 137872258850390938112 cubic inches would be around 430504.5 feet tall.

Recreational maths with 137872258850390938112

• 137872258850390938112 backwards is 211839093058852278731
• The number of decimal digits it has is: 21
• The sum of 137872258850390938112's digits is 92
• More coming soon!