138481314816

Names of 138481314816

• Cardinal: 138481314816 can be written as One hundred thirty-eight billion, four hundred eighty-one million, three hundred fourteen thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.38481314816 × 10¹¹

Factors of 138481314816

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1120

Divisors of 138481314816

• Number of divisors d(n): 264
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 359 384 416 507 512 624 676 718 743 768 832 1014 1024 1077 1248 1352 1436 1486 1536 1664 2028 2154 2229 2496 2704 2872 2972 3072 3328 4056 4308 4458 4667 4992 5408 5744 5944 6656 8112 8616 8916 9334 9659 9984 10816 11488 11888 13312 14001 16224 17232 17832 18668 19318 19968 21632 22976 23776 28002 28977 32448 34464 35664 37336 38636 39936 43264 45952 47552 56004 57954 60671 64896 68928 71328 74672 77272 86528 91904 95104 112008 115908 121342 125567 129792 137856 142656 149344 154544 173056 182013 183808 190208 224016 231816 242684 251134 259584 266737 275712 285312 298688 309088 364026 367616 376701 380416 448032 463632 485368 502268 519168 533474 551424 570624 597376 618176 728052 753402 760832 800211 896064 927264 970736 1004536 1066948 1102848 1141248 1194752 1236352 1456104 1506804 1600422 1792128 1854528 1941472 2009072 2133896 2282496 2389504 2472704 2912208 3013608 3200844 3467581 3584256 3709056 3882944 4018144 4267792 4779008 4945408 5824416 6027216 6401688 6935162 7168512 7418112 7765888 8036288 8535584 9890816 10402743 11648832 12054432 12803376 13870324 14337024 14836224 15531776 16072576 17071168 20805486 23297664 24108864 25606752 27740648 29672448 31063552 32145152 34142336 41610972 45078553 46595328 48217728 51213504 55481296 62127104 64290304 68284672 83221944 90157106 93190656 96435456 102427008 110962592 128580608 135235659 136569344 166443888 180314212 186381312 192870912 204854016 221925184 270471318 273138688 332887776 360628424 385741824 409708032 443850368 540942636 665775552 721256848 819416064 887700736 1081885272 1331551104 1442513696 1775401472 2163770544 2663102208 2885027392 3550802944 4327541088 5326204416 5770054784 8655082176 10652408832 11540109568 17310164352 23080219136 34620328704 46160438272 69240657408 138481314816
• Sum of all divisors σ(n): 401332527360
• Sum of proper divisors (its aliquot sum) s(n): 262851212544
• 138481314816 is an abundant number, because the sum of its proper divisors (262851212544) is greater than itself. Its abundance is 124369897728

Bases of 138481314816

• Binary: 10000000111110001000010010110000000000₂
• Hexadecimal: 0x203E212C00
• Base-36: 1RM876DC

Squares and roots of 138481314816

• 138481314816 squared (138481314816²) is 19177074553168101113856
• 138481314816 cubed (138481314816³) is 2655666498447174340516812995690496
• The square root of 138481314816 is 372130.7764966505
• The cube root of 138481314816 is 5173.6501703661

Scales and comparisons

• 138,481,314,816 seconds is equal to 4,403 years, 14 weeks, 2 days, 23 hours, 53 minutes, 36 seconds.
• To count from 1 to 138,481,314,816 would take you about eight thousand, eight hundred six 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 138481314816 cubic inches would be around 431.1 feet tall.

Recreational maths with 138481314816

• 138481314816 backwards is 618413184831
• 138481314816 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138481314816's digits is 48
• More coming soon!