138432323933310464000

Names of 138432323933310464000

• Cardinal: 138432323933310464000 can be written as One hundred thirty-eight quintillion, four hundred thirty-two quadrillion, three hundred twenty-three trillion, nine hundred thirty-three billion, three hundred ten million, four hundred sixty-four thousand.

Scientific notation

• Scientific notation: 1.38432323933310464 × 10²⁰

Factors of 138432323933310464000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 64670

Divisors of 138432323933310464000

• Number of divisors d(n): 156
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2048 2560 3200 4000 4096 5120 6400 8000 10240 12800 16000 20480 25600 32000 51200 64000 64663 102400 128000 129326 256000 258652 323315 512000 517304 646630 1034608 1293260 1616575 2069216 2586520 3233150 4138432 5173040 6466300 8082875 8276864 10346080 12932600 16165750 16553728 20692160 25865200 32331500 33107456 41384320 51730400 64663000 66214912 82768640 103460800 129326000 132429824 165537280 206921600 258652000 264859648 331074560 413843200 517304000 662149120 827686400 1034608000 1324298240 1655372800 2069216000 3310745600 4138432000 4181303569 6621491200 8276864000 8362607138 16553728000 16725214276 20906517845 33107456000 33450428552 41813035690 66900857104 83626071380 104532589225 133801714208 167252142760 209065178450 267603428416 334504285520 418130356900 522662946125 535206856832 669008571040 836260713800 1045325892250 1070413713664 1338017142080 1672521427600 2090651784500 2140827427328 2676034284160 3345042855200 4181303569000 4281654854656 5352068568320 6690085710400 8362607138000 8563309709312 10704137136640 13380171420800 16725214276000 17126619418624 21408274273280 26760342841600 33450428552000 42816548546560 53520685683200 66900857104000 85633097093120 107041371366400 133801714208000 214082742732800 267603428416000 428165485465600 535206856832000 1070413713664000 2140827427328000
• Sum of all divisors σ(n): 138435526041485790468
• Sum of proper divisors (its aliquot sum) s(n): 3202108175326468
• 138432323933310464000 is a deficient number, because the sum of its proper divisors (3202108175326468) is less than itself. Its deficiency is 138429121825135137532

Bases of 138432323933310464000

• Binary: 1111000000100100010011010010010101111100100110001101011000000000000₂
• Hexadecimal: 0x78122692BE4C6B000
• Base-36: T7QS3BWUVFRI8

Squares and roots of 138432323933310464000

• 138432323933310464000 squared (138432323933310464000²) is 19163508309577001094524166211895296000000
• 138432323933310464000 cubed (138432323933310464000³) is 2652848990010050241167689443609633484489729029177344000000000
• The square root of 138432323933310464000 is 11765726664.0573655645
• 138432323933310464000 is a perfect cube number. Its cube root is 5173040

Scales and comparisons

• 138,432,323,933,310,464,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,432,323,933,310,464,000 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 138432323933310464000 cubic inches would be around 431086.7 feet tall.

Recreational maths with 138432323933310464000

• 138432323933310464000 backwards is 000464013339323234831
• The number of decimal digits it has is: 21
• The sum of 138432323933310464000's digits is 62
• More coming soon!