40398839897727028608

Names of 40398839897727028608

• Cardinal: 40398839897727028608 can be written as Forty quintillion, three hundred ninety-eight quadrillion, eight hundred thirty-nine trillion, eight hundred ninety-seven billion, seven hundred twenty-seven million, twenty-eight thousand, six hundred eight.

Scientific notation

• Scientific notation: 4.0398839897727028608 × 10¹⁹

Factors of 40398839897727028608

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 63394392580

Divisors of 40398839897727028608

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 16763 19008 33526 38016 50289 67052 100578 134104 150867 184393 201156 268208 301734 368786 402312 452601 536416 553179 603468 737572 804624 905202 1072832 1106358 1206936 1475144 1609248 1659537 1810404 2145664 2212716 2413872 2950288 3218496 3319074 3620808 4425432 4827744 4978611 5900576 6436992 6638148 7241616 8850864 9655488 9957222 11801152 13276296 14483232 17701728 19310976 19914444 23602304 26552592 28966464 35403456 39828888 53105184 57932928 70806912 79657776 106210368 159315552 212420736 318631104 637262208 63394375801 126788751602 190183127403 253577503204 380366254806 507155006408 570549382209 697338133811 760732509612 1014310012816 1141098764418 1394676267622 1521465019224 1711648146627 2028620025632 2092014401433 2282197528836 2789352535244 3042930038448 3423296293254 4057240051264 4184028802866 4564395057672 5578705070488 6085860076896 6276043204299 6846592586508 8114480102528 8368057605732 9128790115344 11157410140976 12171720153792 12552086408598 13693185173016 16736115211464 18257580230688 18828129612897 22314820281952 24343440307584 25104172817196 27386370346032 33472230422928 36515160461376 37656259225794 44629640563904 50208345634392 54772740692064 66944460845856 73030320922752 75312518451588 89259281127808 100416691268784 109545481384128 133888921691712 150625036903176 200833382537568 219090962768256 267777843383424 301250073806352 401666765075136 602500147612704 803333530150272 1062679921552163 1205000295225408 2125359843104326 2410000590450816 3188039764656489 4250719686208652 6376079529312978 8501439372417304 9564119293969467 11689479137073793 12752159058625956 17002878744834608 19128238587938934 23378958274147586 25504318117251912 28692357881908401 34005757489669216 35068437411221379 38256477175877868 46757916548295172 51008636234503824 57384715763816802 68011514979338432 70136874822442758 76512954351755736 93515833096590344 102017272469007648 105205312233664137 114769431527633604 136023029958676864 140273749644885516 153025908703511472 187031666193180688 204034544938015296 210410624467328274 229538863055267208 280547499289771032 306051817407022944 315615936700992411 374063332386361376 408069089876030592 420821248934656548 459077726110534416 561094998579542064 612103634814045888 631231873401984822 748126664772722752 841642497869313096 918155452221068832 1122189997159084128 1224207269628091776 1262463746803969644 1496253329545445504 1683284995738626192 1836310904442137664 2244379994318168256 2524927493607939288 3366569991477252384 3672621808884275328 4488759988636336512 5049854987215878576 6733139982954504768 10099709974431757152 13466279965909009536 20199419948863514304 40398839897727028608
• Sum of all divisors σ(n): 130079781871634707200
• Sum of proper divisors (its aliquot sum) s(n): 89680941973907678592
• 40398839897727028608 is an abundant number, because the sum of its proper divisors (89680941973907678592) is greater than itself. Its abundance is 49282102076180649984

Bases of 40398839897727028608

• Binary: 100011000010100101100000101101100001000001111001011100110110000000₂
• Hexadecimal: 0x230A582D841E5CD80
• Base-36: 8IXJ5JRHERMO0

Squares and roots of 40398839897727028608

• 40398839897727028608 squared (40398839897727028608²) is 1632066265082181195279790117348850417664
• 40398839897727028608 cubed (40398839897727028608³) is 65933583745536358520518790270547092099757808110162476531712
• The square root of 40398839897727028608 is 6356008173.1954238109
• The cube root of 40398839897727028608 is 3431281.0990750387

Scales and comparisons

• 40,398,839,897,727,028,608 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 40,398,839,897,727,028,608 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 40398839897727028608 cubic inches would be around 285940.1 feet tall.

Recreational maths with 40398839897727028608

• 40398839897727028608 backwards is 80682072779893889304
• 40398839897727028608 is a Harshad number.
• The number of decimal digits it has is: 20
• The sum of 40398839897727028608's digits is 108
• More coming soon!