820145088123008

Names of 820145088123008

• Cardinal: 820145088123008 can be written as Eight hundred twenty trillion, one hundred forty-five billion, eighty-eight million, one hundred twenty-three thousand and eight.

Scientific notation

• Scientific notation: 8.20145088123008 × 10¹⁴

Factors of 820145088123008

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 82

Divisors of 820145088123008

• Number of divisors d(n): 200
• Complete list of divisors:
  1 2 4 8 16 32 37 43 64 74 86 128 148 172 296 344 592 688 1184 1369 1376 1591 1849 2368 2738 2752 3182 3698 4736 5476 5504 6364 7396 10952 12728 14792 21904 25456 29584 43808 50653 50912 58867 59168 68413 79507 87616 101306 101824 117734 118336 136826 159014 175232 202612 203648 235468 236672 273652 318028 405224 470936 547304 636056 810448 941872 1094608 1272112 1620896 1874161 1883744 2178079 2189216 2531281 2544224 2941759 3241792 3418801 3748322 3767488 4356158 4378432 5062562 5088448 5883518 6483584 6837602 7496644 7534976 8712316 8756864 10125124 10176896 11767036 13675204 14993288 17424632 20250248 23534072 27350408 29986576 34849264 40500496 47068144 54700816 59973152 69698528 80588923 81000992 93657397 94136288 108845083 109401632 119946304 126495637 139397056 161177846 162001984 187314794 188272576 217690166 218803264 239892608 252991274 278794112 322355692 324003968 374629588 376545152 435380332 437606528 505982548 644711384 749259176 870760664 1011965096 1289422768 1498518352 1741521328 2023930192 2578845536 2997036704 3465323689 3483042656 4027268071 4047860384 4680338569 5157691072 5994073408 6930647378 6966085312 8054536142 8095720768 9360677138 10315382144 11988146816 13861294756 13932170624 16109072284 16191441536 18721354276 27722589512 32218144568 37442708552 55445179024 64436289136 74885417104 110890358048 128872578272 149008918627 149770834208 173172527053 221780716096 257745156544 298017837254 299541668416 346345054106 443561432192 515490313088 596035674508 599083336832 692690108212 1192071349016 1385380216424 2384142698032 2770760432848 4768285396064 5541520865696 6407383500961 9536570792128 11083041731392 12814767001922 19073141584256 22166083462784 25629534003844 51259068007688 102518136015376 205036272030752 410072544061504 820145088123008
• Sum of all divisors σ(n): 1719250970957355
• Sum of proper divisors (its aliquot sum) s(n): 899105882834347
• 820145088123008 is an abundant number, because the sum of its proper divisors (899105882834347) is greater than itself. Its abundance is 78960794711339

Bases of 820145088123008

• Binary: 10111010011110101011101000101001000101000010000000₂
• Hexadecimal: 0x2E9EAE8A45080
• Base-36: 82PTG9Y6WW

Squares and roots of 820145088123008

• 820145088123008 squared (820145088123008²) is 672637965572296557984538968064
• 820145088123008 cubed (820145088123008³) is 551660723549171981779443869606840639015616512
• The square root of 820145088123008 is 28638175.3630186433
• The cube root of 820145088123008 is 93604.5362739803

Scales and comparisons

• 820,145,088,123,008 seconds is equal to 26,078,076 years, 48 weeks, 1 day, 10 hours, 10 minutes, 8 seconds.
• To count from 1 to 820,145,088,123,008 would take you about sixty-five million, one hundred ninety-five thousand, one hundred ninety-two 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 820145088123008 cubic inches would be around 7800.4 feet tall.

Recreational maths with 820145088123008

• 820145088123008 backwards is 800321880541028
• The number of decimal digits it has is: 15
• The sum of 820145088123008's digits is 50
• More coming soon!