137785457048457600

Names of 137785457048457600

• Cardinal: 137785457048457600 can be written as One hundred thirty-seven quadrillion, seven hundred eighty-five trillion, four hundred fifty-seven billion, forty-eight million, four hundred fifty-seven thousand, six hundred.

Scientific notation

• Scientific notation: 1.377854570484576 × 10¹⁷

Factors of 137785457048457600

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 177193231811

Divisors of 137785457048457600

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 240 243 270 288 300 320 324 360 384 400 405 432 450 480 486 540 576 600 640 648 675 720 800 810 864 900 960 972 1080 1152 1200 1215 1296 1350 1440 1600 1620 1728 1800 1920 1944 2025 2160 2400 2430 2592 2700 2880 3200 3240 3456 3600 3888 4050 4320 4800 4860 5184 5400 5760 6075 6480 7200 7776 8100 8640 9600 9720 10368 10800 12150 12960 14400 15552 16200 17280 19440 21600 24300 25920 28800 31104 32400 38880 43200 48600 51840 64800 77760 86400 97200 129600 155520 194400 259200 388800 777600 177193231801 354386463602 531579695403 708772927204 885966159005 1063159390806 1417545854408 1594739086209 1771932318010 2126318781612 2657898477015 2835091708816 3189478172418 3543864636020 4252637563224 4429830795025 4784217258627 5315796954030 5670183417632 6378956344836 7087729272040 7973695431045 8505275126448 8859661590050 9568434517254 10631593908060 11340366835264 12757912689672 13289492385075 14175458544080 14352651775881 15947390862090 17010550252896 17719323180100 19136869034508 21263187816120 22680733670528 23921086293135 25515825379344 26578984770150 28350917088160 28705303551762 31894781724180 34021100505792 35438646360200 38273738069016 39868477155225 42526375632240 43057955327643 47842172586270 51031650758688 53157969540300 56701834176320 57410607103524 63789563448360 68042201011584 70877292720400 71763258879405 76547476138032 79736954310450 85052751264480 86115910655286 95684345172540 102063301517376 106315939080600 113403668352640 114821214207048 119605431465675 127579126896720 141754585440800 143526517758810 153094952276064 159473908620900 170105502528960 172231821310572 191368690345080 204126603034752 212631878161200 215289776638215 229642428414096 239210862931350 255158253793440 283509170881600 287053035517620 306189904552128 318947817241800 340211005057920 344463642621144 358816294397025 382737380690160 425263756322400 430579553276430 459284856828192 478421725862700 510316507586880 567018341763200 574106071035240 612379809104256 637895634483600 688927285242288 717632588794050 765474761380320 850527512644800 861159106552860 918569713656384 956843451725400 1020633015173760 1076448883191075 1148212142070480 1275791268967200 1377854570484576 1435265177588100 1530949522760640 1701055025289600 1722318213105720 1837139427312768 1913686903450800 2152897766382150 2296424284140960 2551582537934400 2755709140969152 2870530355176200 3061899045521280 3444636426211440 3827373806901600 4305795532764300 4592848568281920 5103165075868800 5511418281938304 5741060710352400 6889272852422880 7654747613803200 8611591065528600 9185697136563840 11482121420704800 13778545704845760 15309495227606400 17223182131057200 22964242841409600 27557091409691520 34446364262114400 45928485682819200 68892728524228800 137785457048457600
• Sum of all divisors σ(n): 509859349051710840
• Sum of proper divisors (its aliquot sum) s(n): 372073892003253240
• 137785457048457600 is an abundant number, because the sum of its proper divisors (372073892003253240) is greater than itself. Its abundance is 234288434954795640

Bases of 137785457048457600

• Binary: 111101001100000110010010010100110100101101001000110000000₂
• Hexadecimal: 0x1E98324A6969180
• Base-36: 11OOV94RKO00

Squares and roots of 137785457048457600

• 137785457048457600 squared (137785457048457600²) is 18984832174052354124594538997760000
• 137785457048457600 cubed (137785457048457600³) is 2615833778090066558540452850738635909257854976000000
• The square root of 137785457048457600 is 371194634.9941733735
• The cube root of 137785457048457600 is 516496.9885790917

Scales and comparisons

• 137,785,457,048,457,600 seconds is equal to 4,381,151,335 years, 38 weeks, 3 days.
• To count from 1 to 137,785,457,048,457,600 would take you about thirteen billion, one hundred forty-three million, four hundred fifty-four thousand and seven 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 137785457048457600 cubic inches would be around 43041.4 feet tall.

Recreational maths with 137785457048457600

• 137785457048457600 backwards is 006754840754587731
• 137785457048457600 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137785457048457600's digits is 81
• More coming soon!