825133380768225

Names of 825133380768225

• Cardinal: 825133380768225 can be written as Eight hundred twenty-five trillion, one hundred thirty-three billion, three hundred eighty million, seven hundred sixty-eight thousand, two hundred twenty-five.

Scientific notation

• Scientific notation: 8.25133380768225 × 10¹⁴

Factors of 825133380768225

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 827

Divisors of 825133380768225

• Number of divisors d(n): 243
• Complete list of divisors:
  1 3 5 9 15 25 37 45 73 75 111 185 219 225 333 365 555 657 709 925 1095 1369 1665 1825 2127 2701 2775 3285 3545 4107 5329 5475 6381 6845 8103 8325 10635 12321 13505 15987 16425 17725 20535 24309 26233 26645 31905 34225 40515 47961 51757 53175 61605 67525 78699 79935 99937 102675 121545 131165 133225 155271 159525 197173 202575 236097 239805 258785 299811 308025 393495 399675 465813 499685 502681 591519 607725 655825 776355 899433 970621 985865 1180485 1199025 1293925 1499055 1508043 1774557 1915009 1967475 2329065 2498425 2513405 2911863 2957595 3778261 3881775 4497165 4524129 4853105 4929325 5745027 5902425 7295401 7495275 7540215 8735589 8872785 9575045 11334783 11645325 12567025 14559315 14787975 17235081 18599197 18891305 21886203 22485825 22620645 24265525 28725135 34004349 36477005 36695713 37701075 43677945 44363925 47875225 55797591 56673915 65658609 70855333 72796575 86175405 92995985 94456525 109431015 110087139 113103225 139795657 143625675 167392773 170021745 182385025 183478565 212565999 218389725 278987955 283369575 328293045 330261417 354276665 419386971 430877025 464979925 547155075 550435695 637697997 688170289 698978285 836963865 850108725 917392825 1062829995 1258160913 1357741381 1394939775 1641465225 1651307085 1771383325 2064510867 2096934855 2678787049 2752178475 3188489985 3440851445 3494891425 4073224143 4184819325 5172439309 5314149975 6193532601 6290804565 6788706905 8036361147 8256535425 10322554335 10484674275 12219672429 13393935245 15517317927 15942449925 17204257225 20366120715 24109083441 25862196545 30967663005 31454022825 33943534525 40181805735 46551953781 50236431097 51612771675 61098362145 66969676225 77586589635 99115120813 101830603575 120545417205 129310982725 150709293291 154838315025 200909028675 232759768905 251182155485 297345362439 305491810725 387932948175 452127879873 495575604065 602727086025 753546466455 892036087317 1163798844525 1255910777425 1486726812195 2260639399365 2477878020325 3667259470081 3767732332275 4460180436585 7433634060975 11001778410243 11303196996825 18336297350405 22300902182925 33005335230729 55008892051215 91681486752025 165026676153645 275044460256075 825133380768225
• Sum of all divisors σ(n): 1542195948144033
• Sum of proper divisors (its aliquot sum) s(n): 717062567375808
• 825133380768225 is a deficient number, because the sum of its proper divisors (717062567375808) is less than itself. Its deficiency is 108070813392417

Bases of 825133380768225

• Binary: 10111011100111010001010110000011011001000111100001₂
• Hexadecimal: 0x2EE74560D91E1
• Base-36: 84HH1ILHI9

Squares and roots of 825133380768225

• 825133380768225 squared (825133380768225²) is 680845096058000582291169650625
• 825133380768225 cubed (825133380768225³) is 561788015889804920427038455304259167351390625
• 825133380768225 is a perfect square number. Its square root is 28725135
• The cube root of 825133380768225 is 93793.9268927097

Scales and comparisons

• 825,133,380,768,225 seconds is equal to 26,236,689 years, 10 weeks, 4 days, 3 minutes, 45 seconds.
• To count from 1 to 825,133,380,768,225 would take you about sixty-five million, five hundred ninety-one thousand, seven hundred twenty-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 825133380768225 cubic inches would be around 7816.2 feet tall.

Recreational maths with 825133380768225

• 825133380768225 backwards is 522867083331528
• The number of decimal digits it has is: 15
• The sum of 825133380768225's digits is 63
• More coming soon!