138314624000

Names of 138314624000

• Cardinal: 138314624000 can be written as One hundred thirty-eight billion, three hundred fourteen million, six hundred twenty-four thousand.

Scientific notation

• Scientific notation: 1.38314624 × 10¹¹

Factors of 138314624000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 154383

Divisors of 138314624000

• Number of divisors d(n): 176
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 320 350 400 448 500 512 560 640 700 800 875 896 1000 1024 1120 1280 1400 1600 1750 1792 2000 2240 2560 2800 3200 3500 3584 4000 4480 5120 5600 6400 7000 7168 8000 8960 11200 12800 14000 16000 17920 22400 25600 28000 32000 35840 44800 56000 64000 89600 112000 128000 154369 179200 224000 308738 448000 617476 771845 896000 1080583 1234952 1543690 2161166 2469904 3087380 3859225 4322332 4939808 5402915 6174760 7718450 8644664 9879616 10805830 12349520 15436900 17289328 19296125 19759232 21611660 24699040 27014575 30873800 34578656 38592250 39518464 43223320 49398080 54029150 61747600 69157312 77184500 79036928 86446640 98796160 108058300 123495200 135072875 138314624 154369000 158073856 172893280 197592320 216116600 246990400 270145750 276629248 308738000 345786560 395184640 432233200 493980800 540291500 553258496 617476000 691573120 790369280 864466400 987961600 1080583000 1106516992 1234952000 1383146240 1728932800 1975923200 2161166000 2469904000 2766292480 3457865600 3951846400 4322332000 4939808000 5532584960 6915731200 8644664000 9879616000 13831462400 17289328000 19759232000 27662924800 34578656000 69157312000 138314624000
• Sum of all divisors σ(n): 394362246720
• Sum of proper divisors (its aliquot sum) s(n): 256047622720
• 138314624000 is an abundant number, because the sum of its proper divisors (256047622720) is greater than itself. Its abundance is 117732998720

Bases of 138314624000

• Binary: 10000000110100001100011010110000000000₂
• Hexadecimal: 0x203431AC00
• Base-36: 1RJGYEWW

Squares and roots of 138314624000

• 138314624000 squared (138314624000²) is 19130935212261376000000
• 138314624000 cubed (138314624000³) is 2646088110652292411162624000000000
• The square root of 138314624000 is 371906.7409983315
• The cube root of 138314624000 is 5171.5734853233

Scales and comparisons

• 138,314,624,000 seconds is equal to 4,397 years, 50 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 138,314,624,000 would take you about eight thousand, seven hundred ninety-five 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 138314624000 cubic inches would be around 431 feet tall.

Recreational maths with 138314624000

• 138314624000 backwards is 000426413831
• 138314624000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138314624000's digits is 32
• More coming soon!