137505943025854973100

Names of 137505943025854973100

• Cardinal: 137505943025854973100 can be written as One hundred thirty-seven quintillion, five hundred five quadrillion, nine hundred forty-three trillion, twenty-five billion, eight hundred fifty-four million, nine hundred seventy-three thousand, one hundred.

Scientific notation

• Scientific notation: 1.375059430258549731 × 10²⁰

Factors of 137505943025854973100

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 4312837296

Divisors of 137505943025854973100

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 11841007 23682014 35523021 47364028 59205035 71046042 106569063 118410070 142092084 177615105 213138126 236820140 296025175 319707189 355230210 426276252 532845315 592050350 639414378 710460420 888075525 1065690630 1184100700 1278828756 1598535945 1776151050 2131381260 2664226575 3197071890 3552302100 4300996279 5328453150 6394143780 7992679725 8601992558 10656906300 12902988837 15985359450 17203985116 21504981395 25805977674 31970718900 38708966511 43009962790 51611955348 64514944185 77417933022 86019925580 107524906975 116126899533 129029888370 154835866044 193544832555 215049813950 232253799066 258059776740 322574720925 387089665110 430099627900 464507598132 580634497665 645149441850 774179330220 967724162775 1161268995330 1290298883700 1935448325550 2322537990660 2903172488325 3870896651100 5806344976650 11612689953300 50928127046612953 101856254093225906 152784381139838859 203712508186451812 254640635233064765 305568762279677718 458353143419516577 509281270466129530 611137524559355436 763921905699194295 916706286839033154 1018562540932259060 1273203176165323825 1375059430258549731 1527843811398388590 1833412573678066308 2291765717097582885 2546406352330647650 2750118860517099462 3055687622796777180 3819609528495971475 4583531434195165770 5092812704661295300 5500237721034198924 6875297151292748655 7639219056991942950 9167062868390331540 11458828585487914425 13750594302585497310 15278438113983885900 22917657170975828850 27501188605170994620 34376485756463743275 45835314341951657700 68752971512927486550 137505943025854973100
• Sum of all divisors σ(n): 442056180200028083200
• Sum of proper divisors (its aliquot sum) s(n): 304550237174173110100
• 137505943025854973100 is an abundant number, because the sum of its proper divisors (304550237174173110100) is greater than itself. Its abundance is 167044294148318137000

Bases of 137505943025854973100

• Binary: 1110111010001000111001111101010010011110001001100000000010010101100₂
• Hexadecimal: 0x774473EA4F13004AC
• Base-36: T0PEKPF2YO430

Squares and roots of 137505943025854973100

• 137505943025854973100 squared (137505943025854973100²) is 18907884367429673915378746234001723610000
• 137505943025854973100 cubed (137505943025854973100³) is 2599946470567238639614461438287994828810255099290184891000000
• The square root of 137505943025854973100 is 11726292808.2943150213
• The cube root of 137505943025854973100 is 5161474.9382397845

Scales and comparisons

• 137,505,943,025,854,973,100 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,505,943,025,854,973,100 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 137505943025854973100 cubic inches would be around 430122.9 feet tall.

Recreational maths with 137505943025854973100

• 137505943025854973100 backwards is 001379458520349505731
• The number of decimal digits it has is: 21
• The sum of 137505943025854973100's digits is 81
• More coming soon!