968512168
968,512,168 is an even composite number composed of six prime numbers multiplied together.
968512168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 968512168:
23 × 13 × 17 × 31 × 41 × 431
(2 × 2 × 2 × 13 × 17 × 31 × 41 × 431)See below for interesting mathematical facts about the number 968512168 from the Numbermatics database.
Names of 968512168
- Cardinal: 968512168 can be written as Nine hundred sixty-eight million, five hundred twelve thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 9.68512168 × 108
Factors of 968512168
Divisors of 968512168
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 4 8 13 17 26 31 34 41 52 62 68 82 104 124 136 164 221 248 328 403 431 442 527 533 697 806 862 884 1054 1066 1271 1394 1612 1724 1768 2108 2132 2542 2788 3224 3448 4216 4264 5084 5576 5603 6851 7327 9061 10168 11206 13361 13702 14654 16523 17671 18122 21607 22412 26722 27404 29308 33046 35342 36244 43214 44824 53444 54808 58616 66092 70684 72488 86428 95251 106888 132184 141368 172856 173693 190502 227137 229723 280891 300407 347386 381004 454274 459446 547801 561782 600814 694772 762008 908548 918892 1095602 1123564 1201628 1389544 1817096 1837784 2191204 2247128 2403256 2952781 3905291 4382408 5905562 7121413 7810582 9312617 11811124 14242826 15621164 18625234 23622248 28485652 31242328 37250468 56971304 74500936 121064021 242128042 484256084 968512168
- Sum of all divisors σ(n): 2194698240
- Sum of proper divisors (its aliquot sum) s(n): 1226186072
- 968512168 is an abundant number, because the sum of its proper divisors (1226186072) is greater than itself. Its abundance is 257673904
Bases of 968512168
- Binary: 1110011011101001010010101010002
- Hexadecimal: 0x39BA52A8
- Base-36: G0MKRS
Squares and roots of 968512168
- 968512168 squared (9685121682) is 938015819564060224
- 968512168 cubed (9685121683) is 908479735024284782428805632
-
The
square root of 968512168 is 31120.9281352597 -
The
cube root of 968512168 is 989.3919226077
Scales and comparisons
How big is 968512168?- 968,512,168 seconds is equal to 30 years, 41 weeks, 2 days, 15 hours, 9 minutes, 28 seconds.
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To count from 1 to 968,512,168 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 968512168 cubic inches would be around 82.4 feet tall.
Recreational maths with 968512168
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