137931040000

Names of 137931040000

• Cardinal: 137931040000 can be written as One hundred thirty-seven billion, nine hundred thirty-one million, forty thousand.

Scientific notation

• Scientific notation: 1.3793104 × 10¹¹

Factors of 137931040000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 5121

Divisors of 137931040000

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 169 200 208 250 256 260 320 325 338 400 416 500 520 625 640 650 676 800 832 845 1000 1040 1250 1280 1300 1352 1600 1625 1664 1690 2000 2080 2500 2600 2704 3200 3250 3328 3380 4000 4160 4225 5000 5101 5200 5408 6400 6500 6760 8000 8125 8320 8450 10000 10202 10400 10816 13000 13520 16000 16250 16640 16900 20000 20404 20800 21125 21632 25505 26000 27040 32000 32500 33800 40000 40808 41600 42250 43264 51010 52000 54080 65000 66313 67600 80000 81616 83200 84500 102020 104000 105625 108160 127525 130000 132626 135200 160000 163232 169000 204040 208000 211250 216320 255050 260000 265252 270400 326464 331565 338000 408080 416000 422500 510100 520000 530504 540800 637625 652928 663130 676000 816160 845000 862069 1020200 1040000 1061008 1081600 1275250 1305856 1326260 1352000 1632320 1657825 1690000 1724138 2040400 2080000 2122016 2550500 2652520 2704000 3188125 3264640 3315650 3380000 3448276 4080800 4244032 4310345 5101000 5305040 5408000 6376250 6529280 6631300 6760000 6896552 8161600 8289125 8488064 8620690 10202000 10610080 12752500 13262600 13520000 13793104 16323200 16578250 16976128 17241380 20404000 21220160 21551725 25505000 26525200 27040000 27586208 32646400 33156500 34482760 40808000 41445625 42440320 43103450 51010000 53050400 55172416 66313000 68965520 81616000 82891250 84880640 86206900 102020000 106100800 107758625 110344832 132626000 137931040 163232000 165782500 172413800 204040000 212201600 215517250 220689664 265252000 275862080 331565000 344827600 408080000 424403200 431034500 530504000 538793125 551724160 663130000 689655200 816160000 862069000 1061008000 1077586250 1103448320 1326260000 1379310400 1724138000 2122016000 2155172500 2652520000 2758620800 3448276000 4310345000 5305040000 5517241600 6896552000 8620690000 10610080000 13793104000 17241380000 27586208000 34482760000 68965520000 137931040000
• Sum of all divisors σ(n): 372617697606
• Sum of proper divisors (its aliquot sum) s(n): 234686657606
• 137931040000 is an abundant number, because the sum of its proper divisors (234686657606) is greater than itself. Its abundance is 96755617606

Bases of 137931040000

• Binary: 10000000011101010101001010010100000000₂
• Hexadecimal: 0x201D54A500
• Base-36: 1RD4KVLS

Squares and roots of 137931040000

• 137931040000 squared (137931040000²) is 19024971795481600000000
• 137931040000 cubed (137931040000³) is 2624134145721444388864000000000000
• The square root of 137931040000 is 371390.6837819171
• The cube root of 137931040000 is 5166.7883333589

Scales and comparisons

• 137,931,040,000 seconds is equal to 4,385 years, 40 weeks, 4 days, 1 hour, 46 minutes, 40 seconds.
• To count from 1 to 137,931,040,000 would take you about eight thousand, seven hundred seventy-one 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 137931040000 cubic inches would be around 430.6 feet tall.

Recreational maths with 137931040000

• 137931040000 backwards is 000040139731
• The number of decimal digits it has is: 12
• The sum of 137931040000's digits is 28
• More coming soon!