1728085161121984

Names of 1728085161121984

• Cardinal: 1728085161121984 can be written as One quadrillion, seven hundred twenty-eight trillion, eighty-five billion, one hundred sixty-one million, one hundred twenty-one thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.728085161121984 × 10¹⁵

Factors of 1728085161121984

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3906

Divisors of 1728085161121984

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 53 56 64 83 106 112 166 212 224 332 371 424 448 581 664 742 848 1162 1328 1484 1696 2324 2656 2809 2968 3392 3761 4399 4648 5312 5618 5936 6889 7522 8798 9296 11236 11872 13778 15044 17596 18592 19663 22472 23744 26327 27556 30088 30793 35192 37184 39326 44944 48223 52654 55112 60176 61586 70384 78652 89888 96446 105308 110224 120352 123172 140768 148877 157304 179776 192892 199333 210616 220448 233147 240704 246344 281536 297754 312163 314608 365117 385784 398666 421232 440896 466294 492688 595508 624326 629216 730234 771568 797332 842464 932588 985376 1042139 1191016 1248652 1258432 1395331 1460468 1543136 1594664 1632029 1684928 1865176 1970752 2084278 2185141 2382032 2497304 2555819 2790662 2920936 3086272 3189328 3264058 3730352 4168556 4370282 4764064 4994608 5111638 5581324 5841872 6378656 6528116 7460704 8337112 8740564 9528128 9989216 10223276 10564649 11162648 11683744 12356791 12757312 13056232 14921408 16544639 16674224 17481128 19351201 19978432 20446552 21129298 22325296 23367488 24713582 25909529 26112464 33089278 33348448 34962256 38702402 40893104 42258596 44650592 49427164 51819058 52224928 66178556 66696896 69924512 73952543 77404804 81786208 84517192 86497537 89301184 98854328 103638116 104449856 115812473 132357112 135458407 139849024 147905086 154809608 163572416 169034384 172995074 181366703 197708656 207276232 231624946 264714224 270916814 295810172 309619216 338068768 345990148 362733406 395417312 414552464 463249892 529428448 541833628 559926397 591620344 619238432 676137536 691980296 725466812 790834624 829104928 876865867 926499784 1025613653 1058856896 1083667256 1119852794 1183240688 1238476864 1373205037 1383960592 1450933624 1658209856 1753731734 1852999568 2051227306 2167334512 2239705588 2366481376 2746410074 2767921184 2901867248 3507463468 3705999136 3919484779 4102454612 4334669024 4479411176 4732962752 5492820148 5535842368 5803734496 6138061069 7014926936 7179295571 7411998272 7838969558 8204909224 8669338048 8958822352 9612435259 10985640296 11607468992 12276122138 14029853872 14358591142 15677939116 16409818448 17917644704 19224870518 21971280592 24552244276 28059707744 28717182284 31355878232 32819636896 35835289408 38449741036 43942561184 46473890951 49104488552 56119415488 57434364568 62711756464 65639273792 72779866961 76899482072 87885122368 92947781902 98208977104 114868729136 125423512928 145559733922 153798964144 185895563804 196417954208 229737458272 250847025856 291119467844 307597928288 325317236657 371791127608 392835908416 459474916544 509459068727 582238935688 615195856576 650634473314 743582255216 1018918137454 1164477871376 1301268946628 1487164510432 2037836274908 2328955742752 2602537893256 2974329020864 3857332948933 4075672549816 4657911485504 5205075786512 7714665897866 8151345099632 10410151573024 15429331795732 16302690199264 20820303146048 27001330642531 30858663591464 32605380398528 54002661285062 61717327182928 108005322570124 123434654365856 216010645140248 246869308731712 432021290280496 864042580560992 1728085161121984
• Sum of all divisors σ(n): 4044196454379840
• Sum of proper divisors (its aliquot sum) s(n): 2316111293257856
• 1728085161121984 is an abundant number, because the sum of its proper divisors (2316111293257856) is greater than itself. Its abundance is 588026132135872

Bases of 1728085161121984

• Binary: 110001000111010111100101110001010111001100011000000₂
• Hexadecimal: 0x623AF2E2B98C0
• Base-36: H0JZD33FLS

Squares and roots of 1728085161121984

• 1728085161121984 squared (1728085161121984²) is 2986278324089993401573728096256
• 1728085161121984 cubed (1728085161121984³) is 5160543258840144600933267325686342905309691904
• The square root of 1728085161121984 is 41570243.6981308061
• The cube root of 1728085161121984 is 120001.9712898847

Scales and comparisons

• 1,728,085,161,121,984 seconds is equal to 54,947,762 years, 41 weeks, 6 days, 3 hours, 13 minutes, 4 seconds.
• To count from 1 to 1,728,085,161,121,984 would take you about one hundred sixty-four million, eight hundred forty-three thousand, two hundred eighty-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 1728085161121984 cubic inches would be around 10000.2 feet tall.

Recreational maths with 1728085161121984

• 1728085161121984 backwards is 4891211615808271
• 1728085161121984 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 1728085161121984's digits is 64
• More coming soon!