38142321573216000000

Names of 38142321573216000000

• Cardinal: 38142321573216000000 can be written as Thirty-eight quintillion, one hundred forty-two quadrillion, three hundred twenty-one trillion, five hundred seventy-three billion, two hundred sixteen million.

Scientific notation

• Scientific notation: 3.8142321573216 × 10¹⁹

Factors of 38142321573216000000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 29
• Sum of prime factors: 58

Divisors of 38142321573216000000

• Number of divisors d(n): 6048
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 41 42 48 49 50 56 60 64 70 75 80 82 84 96 98 100 105 112 120 123 125 128 140 147 150 160 164 168 175 192 196 200 205 210 224 240 245 246 250 256 280 287 294 300 320 328 336 343 350 375 384 392 400 410 420 448 480 490 492 500 512 525 560 574 588 600 615 625 640 656 672 686 700 735 750 768 784 800 820 840 861 875 896 960 980 984 1000 1024 1025 1029 1050 1120 1148 1176 1200 1225 1230 1250 1280 1312 1344 1372 1400 1435 1470 1500 1536 1568 1600 1640 1680 1681 1715 1722 1750 1792 1875 1920 1960 1968 2000 2009 2048 2050 2058 2100 2240 2296 2352 2400 2401 2450 2460 2500 2560 2624 2625 2688 2744 2800 2870 2940 3000 3072 3075 3125 3136 3200 3280 3360 3362 3430 3444 3500 3584 3675 3750 3840 3920 3936 4000 4018 4100 4116 4200 4305 4375 4480 4592 4704 4800 4802 4900 4920 5000 5043 5120 5125 5145 5248 5250 5376 5488 5600 5740 5880 6000 6027 6125 6144 6150 6250 6272 6400 6560 6720 6724 6860 6888 7000 7168 7175 7203 7350 7500 7680 7840 7872 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762846431464320000 778414725984000000 794631699442000000 908150513648000000 930300526176000000 953558039330400000 1089780616377600000 1191947549163000000 1271410719107200000 1362225770472000000 1525692862928640000 1589263398884000000 1816301027296000000 1907116078660800000 2383895098326000000 2542821438214400000 2724451540944000000 3178526797768000000 3814232157321600000 4767790196652000000 5448903081888000000 6357053595536000000 7628464314643200000 9535580393304000000 12714107191072000000 19071160786608000000 38142321573216000000
• Sum of all divisors σ(n): 152000409611663842320
• Sum of proper divisors (its aliquot sum) s(n): 113858088038447842320
• 38142321573216000000 is an abundant number, because the sum of its proper divisors (113858088038447842320) is greater than itself. Its abundance is 75715766465231842320

Bases of 38142321573216000000

• Binary: 100001000101010100101111110110001001011000010000100001100000000000₂
• Hexadecimal: 0x21154BF6258421800
• Base-36: 81SCKK81PIL1C

Squares and roots of 38142321573216000000

• 38142321573216000000 squared (38142321573216000000²) is 1454836694994618677248582656000000000000
• 38142321573216000000 cubed (38142321573216000000³) is 55490849056999509818246176157908131741696000000000000000000
• The square root of 38142321573216000000 is 6175947018.3297395253
• The cube root of 38142321573216000000 is 3366167.3850068545

Scales and comparisons

• 38,142,321,573,216,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 38,142,321,573,216,000,000 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 38142321573216000000 cubic inches would be around 280513.9 feet tall.

Recreational maths with 38142321573216000000

• 38142321573216000000 backwards is 00000061237512324183
• 38142321573216000000 is a Harshad number.
• The number of decimal digits it has is: 20
• The sum of 38142321573216000000's digits is 48
• More coming soon!