968948315223878976
968,948,315,223,878,976 is an even composite number composed of five prime numbers multiplied together.
968948315223878976 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 968948315223878976:
26 × 3 × 72 × 113 × 911433232519
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 113 × 911433232519)See below for interesting mathematical facts about the number 968948315223878976 from the Numbermatics database.
Names of 968948315223878976
- Cardinal: 968948315223878976 can be written as Nine hundred sixty-eight quadrillion, nine hundred forty-eight trillion, three hundred fifteen billion, two hundred twenty-three million, eight hundred seventy-eight thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 9.68948315223878976 × 1017
Factors of 968948315223878976
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 911433232644
Divisors of 968948315223878976
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 113 147 168 192 196 224 226 294 336 339 392 448 452 588 672 678 784 791 904 1176 1344 1356 1568 1582 1808 2352 2373 2712 3136 3164 3616 4704 4746 5424 5537 6328 7232 9408 9492 10848 11074 12656 16611 18984 21696 22148 25312 33222 37968 44296 50624 66444 75936 88592 132888 151872 177184 265776 354368 531552 1063104 911433232519 1822866465038 2734299697557 3645732930076 5468599395114 6380032627633 7291465860152 10937198790228 12760065255266 14582931720304 19140097882899 21874397580456 25520130510532 29165863440608 38280195765798 43748795160912 44660228393431 51040261021064 58331726881216 76560391531596 87497590321824 89320456786862 102080522042128 102991955274647 133980685180293 153120783063192 174995180643648 178640913573724 204161044084256 205983910549294 267961370360586 306241566126384 308975865823941 357281827147448 408322088168512 411967821098588 535922740721172 612483132252768 617951731647882 714563654294896 720943686922529 823935642197176 1071845481442344 1224966264505536 1235903463295764 1429127308589792 1441887373845058 1647871284394352 2143690962884688 2162831060767587 2471806926591528 2858254617179584 2883774747690116 3295742568788704 4287381925769376 4325662121535174 4943613853183056 5046605808457703 5767549495380232 6591485137577408 8574763851538752 8651324243070348 9887227706366112 10093211616915406 11535098990760464 15139817425373109 17302648486140696 19774455412732224 20186423233830812 23070197981520928 30279634850746218 34605296972281392 40372846467661624 46140395963041856 60559269701492436 69210593944562784 80745692935323248 121118539402984872 138421187889125568 161491385870646496 242237078805969744 322982771741292992 484474157611939488 968948315223878976
- Sum of all divisors σ(n): 3008626517616799680
- Sum of proper divisors (its aliquot sum) s(n): 2039678202392920704
- 968948315223878976 is an abundant number, because the sum of its proper divisors (2039678202392920704) is greater than itself. Its abundance is 1070729887169041728
Bases of 968948315223878976
- Binary: 1101011100100110010101011011111001101010000111101101010000002
- Hexadecimal: 0xD72655BE6A1ED40
- Base-36: 7D0NIEXW60QO
Squares and roots of 968948315223878976
- 968948315223878976 squared (9689483152238789762) is 938860837575193538168372675894808576
- 968948315223878976 cubed (9689483152238789763) is 909707626798163667529969542927268077228459067710898176
-
The
square root of 968948315223878976 is 984351723.3305781011 -
The
cube root of 968948315223878976 is 989540.4169668925
Scales and comparisons
How big is 968948315223878976?- 968,948,315,223,878,976 seconds is equal to 30,809,559,270 years, 10 weeks, 10 hours, 49 minutes, 36 seconds.
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To count from 1 to 968,948,315,223,878,976 would take you about ninety-two billion, four hundred twenty-eight million, six hundred seventy-seven thousand, eight hundred ten 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 968948315223878976 cubic inches would be around 82461.7 feet tall.
Recreational maths with 968948315223878976
- 968948315223878976 backwards is 679878322513849869
- The number of decimal digits it has is: 18
- The sum of 968948315223878976's digits is 105
- More coming soon!
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