828534760138988144

Names of 828534760138988144

• Cardinal: 828534760138988144 can be written as Eight hundred twenty-eight quadrillion, five hundred thirty-four trillion, seven hundred sixty billion, one hundred thirty-eight million, nine hundred eighty-eight thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 8.28534760138988144 × 10¹⁷

Factors of 828534760138988144

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 613

Divisors of 828534760138988144

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 4 8 11 16 22 44 88 121 176 179 242 358 421 484 716 842 968 1432 1684 1936 1969 2864 3368 3938 4631 6736 7876 9262 15752 18524 21659 31504 32041 37048 43318 50941 64082 74096 75359 86636 101882 128164 150718 173272 177241 203764 256328 301436 346544 352451 354482 407528 512656 602872 704902 708964 815056 828949 1205744 1409804 1417928 1657898 1949651 2819608 2835856 3315796 3876961 3899302 5639216 5735339 6631592 7753922 7798604 9118439 11470678 13263184 13489261 15507844 15597208 18236878 21446161 22941356 26978522 31015688 31194416 31726139 36473756 42892322 45882712 53957044 62031376 63088729 63452278 72947512 74618461 85784644 91765424 107914088 126177458 126904556 145895024 148381871 149236922 171569288 215828176 252354916 253809112 296763742 298473844 343138576 348987529 504709832 507618224 593527484 596947688 693976019 697975058 820803071 1009419664 1187054968 1193895376 1387952038 1395950116 1632200581 1641606142 2374109936 2414577719 2775904076 2791900232 3264401162 3283212284 3838862819 4829155438 5551808152 5583800464 5678978881 6528802324 6566424568 7677725638 9028833781 9658310876 11103616304 11357957762 13057604648 13132849136 13356704519 15355451276 18057667562 19316621752 22715915524 26115209296 26560354909 26713409038 30710902552 36115335124 38633243504 45431831048 53120709818 53426818076 61421805104 62468767691 72230670248 90863662096 106241419636 106853636152 124937535382 144461340496 146923749709 212482839272 213707272304 249875070764 292163903999 293847499418 424965678544 499750141528 584327807998 587694998836 687156444601 999500283056 1016537219699 1168655615996 1175389997672 1374312889202 1616161246799 2033074439398 2337311231992 2350779995344 2390850108901 2748625778404 3232322493598 4066148878796 4674622463984 4781700217802 5497251556808 6464644987196 8132297757592 9563400435604 10994503113616 11181909416689 12929289974392 16264595515184 19126800871208 22363818833378 25858579948784 26299351197911 38253601742416 44727637666756 52598702395822 89455275333512 105197404791644 123001003583579 178910550667024 210394809583288 246002007167158 289292863177021 420789619166576 427962169493279 492004014334316 578585726354042 855924338986558 984008028668632 1157171452708084 1711848677973116 1968016057337264 2314342905416168 3423697355946232 4628685810832336 4707583864426069 6847394711892464 9415167728852138 18830335457704276 37660670915408552 51783422508686759 75321341830817104 103566845017373518 207133690034747036 414267380069494072 828534760138988144
• Sum of all divisors σ(n): 1778625641101065120
• Sum of proper divisors (its aliquot sum) s(n): 950090880962076976
• 828534760138988144 is an abundant number, because the sum of its proper divisors (950090880962076976) is greater than itself. Its abundance is 121556120823088832

Bases of 828534760138988144

• Binary: 101101111111100010111111100101111110001001011101101001110000₂
• Hexadecimal: 0xB7F8BF97E25DA70
• Base-36: 6AM3268L6IY8

Squares and roots of 828534760138988144

• 828534760138988144 squared (828534760138988144²) is 686469848758570617083088584172564736
• 828534760138988144 cubed (828534760138988144³) is 568764131483829774358903134307468898227955908376489984
• The square root of 828534760138988144 is 910238847.8520284205
• The cube root of 828534760138988144 is 939226.2986688403

Scales and comparisons

• 828,534,760,138,988,144 seconds is equal to 26,344,842,546 years, 7 weeks, 20 hours, 15 minutes, 44 seconds.
• To count from 1 to 828,534,760,138,988,144 would take you about seventy-nine billion, thirty-four million, five hundred twenty-seven thousand, six hundred thirty-eight 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 828534760138988144 cubic inches would be around 78268.9 feet tall.

Recreational maths with 828534760138988144

• 828534760138988144 backwards is 441889831067435828
• The number of decimal digits it has is: 18
• The sum of 828534760138988144's digits is 89
• More coming soon!