968116149
968,116,149 is an odd composite number composed of six prime numbers multiplied together.
968116149 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 968116149:
32 × 7 × 11 × 13 × 41 × 2621
(3 × 3 × 7 × 11 × 13 × 41 × 2621)See below for interesting mathematical facts about the number 968116149 from the Numbermatics database.
Names of 968116149
- Cardinal: 968116149 can be written as Nine hundred sixty-eight million, one hundred sixteen thousand, one hundred forty-nine.
Scientific notation
- Scientific notation: 9.68116149 × 108
Factors of 968116149
Divisors of 968116149
- Number of divisors d(n): 96
-
Complete list of divisors:
1 3 7 9 11 13 21 33 39 41 63 77 91 99 117 123 143 231 273 287 369 429 451 533 693 819 861 1001 1287 1353 1599 2583 2621 3003 3157 3731 4059 4797 5863 7863 9009 9471 11193 17589 18347 23589 28413 28831 33579 34073 41041 52767 55041 86493 102219 107461 123123 165123 201817 238511 259479 306657 322383 369369 374803 605451 715533 752227 967149 1124409 1182071 1396993 1816353 2146599 2256681 2623621 3373227 3546213 4190979 6770043 7870863 8274497 9778951 10638639 12572937 15366923 23612589 24823491 29336853 46100769 74470473 88010559 107568461 138302307 322705383 968116149
- Sum of all divisors σ(n): 1924086528
- Sum of proper divisors (its aliquot sum) s(n): 955970379
- 968116149 is a deficient number, because the sum of its proper divisors (955970379) is less than itself. Its deficiency is 12145770
Bases of 968116149
- Binary: 1110011011010001000111101101012
- Hexadecimal: 0x39B447B5
- Base-36: G0E379
Squares and roots of 968116149
- 968116149 squared (9681161492) is 937248877954590201
- 968116149 cubed (9681161493) is 907365774379968862265255949
-
The
square root of 968116149 is 31114.5649013449 -
The
cube root of 968116149 is 989.2570520199
Scales and comparisons
How big is 968116149?- 968,116,149 seconds is equal to 30 years, 40 weeks, 5 days, 1 hour, 9 minutes, 9 seconds.
-
To count from 1 to 968,116,149 would take you about forty-six 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 968116149 cubic inches would be around 82.4 feet tall.
Recreational maths with 968116149
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