828125137728

Names of 828125137728

• Cardinal: 828125137728 can be written as Eight hundred twenty-eight billion, one hundred twenty-five million, one hundred thirty-seven thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 8.28125137728 × 10¹¹

Factors of 828125137728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 244260

Divisors of 828125137728

• Number of divisors d(n): 252
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 64 72 84 87 96 112 116 126 144 168 174 192 203 224 232 252 261 288 336 348 406 448 464 504 522 576 609 672 696 812 841 928 1008 1044 1218 1344 1392 1624 1682 1827 1856 2016 2088 2436 2523 2784 3248 3364 3654 4032 4176 4872 5046 5568 5887 6496 6728 7308 7569 8352 9744 10092 11774 12992 13456 14616 15138 16704 17661 19488 20184 23548 26912 29232 30276 35322 38976 40368 47096 52983 53824 58464 60552 70644 80736 94192 105966 116928 121104 141288 161472 188384 211932 242208 244219 282576 376768 423864 484416 488438 565152 732657 847728 976876 1130304 1465314 1695456 1709533 1953752 2197971 2930628 3390912 3419066 3907504 4395942 5128599 5861256 6838132 7082351 7815008 8791884 10257198 11722512 13676264 14164702 15385797 15630016 17583768 20514396 21247053 23445024 27352528 28329404 30771594 35167536 41028792 42494106 46890048 49576457 54705056 56658808 61543188 63741159 70335072 82057584 84988212 99152914 109410112 113317616 123086376 127482318 140670144 148729371 164115168 169976424 198305828 205388179 226635232 246172752 254964636 297458742 328230336 339952848 396611656 410776358 446188113 453270464 492345504 509929272 594917484 616164537 679905696 793223312 821552716 892376226 984691008 1019858544 1189834968 1232329074 1359811392 1437717253 1586446624 1643105432 1784752452 1848493611 2039717088 2379669936 2464658148 2875434506 3172893248 3286210864 3569504904 3696987222 4079434176 4313151759 4759339872 4929316296 5750869012 6572421728 7139009808 7393974444 8626303518 9518679744 9858632592 11501738024 12939455277 13144843456 14278019616 14787948888 17252607036 19717265184 23003476048 25878910554 28556039232 29575897776 34505214072 39434530368 46006952096 51757821108 59151795552 69010428144 92013904192 103515642216 118303591104 138020856288 207031284432 276041712576 414062568864 828125137728
• Sum of all divisors σ(n): 2809547908960
• Sum of proper divisors (its aliquot sum) s(n): 1981422771232
• 828125137728 is an abundant number, because the sum of its proper divisors (1981422771232) is greater than itself. Its abundance is 1153297633504

Bases of 828125137728

• Binary: 1100000011010000000110101100101101000000₂
• Hexadecimal: 0xC0D01ACB40
• Base-36: AKFOBPS0

Squares and roots of 828125137728

• 828125137728 squared (828125137728²) is 685791243737018969001984
• 828125137728 cubed (828125137728³) is 567920968172375251116916562705252352
• The square root of 828125137728 is 910013.8118336447
• The cube root of 828125137728 is 9390.7149061521

Scales and comparisons

• 828,125,137,728 seconds is equal to 26,331 years, 42 weeks, 3 days, 16 hours, 28 minutes, 48 seconds.
• To count from 1 to 828,125,137,728 would take you about fifty-two thousand, six hundred sixty-three 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 828125137728 cubic inches would be around 782.6 feet tall.

Recreational maths with 828125137728

• 828125137728 backwards is 827731521828
• The number of decimal digits it has is: 12
• The sum of 828125137728's digits is 54
• More coming soon!