398116723820883013882321

Names of 398116723820883013882321

• Cardinal: 398116723820883013882321 can be written as Three hundred ninety-eight sextillion, one hundred sixteen quintillion, seven hundred twenty-three quadrillion, eight hundred twenty trillion, eight hundred eighty-three billion, thirteen million, eight hundred eighty-two thousand, three hundred twenty-one.

Scientific notation

• Scientific notation: 3.98116723820883013882321 × 10²³

Factors of 398116723820883013882321

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 547

Divisors of 398116723820883013882321

• Number of divisors d(n): 125
• Complete list of divisors:
  1 19 97 361 431 1843 6859 8189 9409 35017 41807 130321 155591 178771 185761 665323 794333 912673 2956229 3396649 3529459 4055279 12641137 15092327 17340787 18018817 56168351 64536331 67059721 77050301 80062991 88529281 286754213 329474953 342357523 393362063 1226190289 1274134699 1463955719 1521196829 1682056339 1747825249 5448330047 6260024107 6504792937 7473879197 7766110127 24208559281 27815158661 28902739751 31959070441 33208679731 34507149121 38156120111 118940458033 123591065803 142003704743 147556092413 169539049153 528488014559 549152055269 607222338379 630964914889 655635833299 724966282109 753312682319 2348230250257 2698070390117 2803565755847 3221241933907 3347193464737 10433889050111 11537224429201 11988333382891 12457080832681 13774359360071 14312940964061 16445287767841 51263337412223 53267749361093 61203596744233 63596675830003 73071330184943 227778334274929 236684535820939 261712827841349 271945878317159 312460467588979 324677766079489 1012087237860767 1162868338140427 1208336840770057 1388355273513917 4497006180597841 4972543728985631 5166971688026021 5936748884190601 6168877555510291 7087919027939471 22094498424668113 22958399974631083 26378750196764423 31493743309710433 98172462072494399 112798228799621419 117208673554695529 134670461530849949 436209599517990577 501196253738524037 598381122884498227 2143166347192806961 2226964797539215051 2558738769086149031 3054893101041912001 9522728821031956703 11369241334805466313 42312331153245085969 48616036612636831589 58042968919796328019 216015585361303859947 923704695640099800191 1102816409476130232361 4104296121864773338993 20953511780046474414859 398116723820883013882321
• Sum of all divisors σ(n): 425599057695481212277405
• Sum of proper divisors (its aliquot sum) s(n): 27482333874598198395084
• 398116723820883013882321 is a deficient number, because the sum of its proper divisors (27482333874598198395084) is less than itself. Its deficiency is 370634389946284815487237

Bases of 398116723820883013882321

• Binary: 1010100010011011111001101101010011110100100101000001011000111010101000111010001₂
• Hexadecimal: 0x544DF36A7A4A0B1D51D1
• Base-36: 1STVK84NP4PO6M6P

Squares and roots of 398116723820883013882321

• 398116723820883013882321 squared (398116723820883013882321²) is 158496925785873240580235210788688811604836347041
• 398116723820883013882321 cubed (398116723820883013882321³) is 63100276829553488363384045308301846725784506843107793517920525090562161
• 398116723820883013882321 is a perfect square number. Its square root is 630964914889
• The cube root of 398116723820883013882321 is 73564813.8746974871

Scales and comparisons

• 398,116,723,820,883,013,882,321 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 398,116,723,820,883,013,882,321 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 398116723820883013882321 cubic inches would be around 6130401.2 feet tall.

Recreational maths with 398116723820883013882321

• 398116723820883013882321 backwards is 123288310388028327611893
• 398116723820883013882321 is a Harshad number.
• The number of decimal digits it has is: 24
• The sum of 398116723820883013882321's digits is 97
• More coming soon!