972477128
972,477,128 is an even composite number composed of five prime numbers multiplied together.
972477128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 972477128:
23 × 72 × 61 × 67 × 607
(2 × 2 × 2 × 7 × 7 × 61 × 67 × 607)See below for interesting mathematical facts about the number 972477128 from the Numbermatics database.
Names of 972477128
- Cardinal: 972477128 can be written as Nine hundred seventy-two million, four hundred seventy-seven thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 9.72477128 × 108
Factors of 972477128
Divisors of 972477128
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 4 7 8 14 28 49 56 61 67 98 122 134 196 244 268 392 427 469 488 536 607 854 938 1214 1708 1876 2428 2989 3283 3416 3752 4087 4249 4856 5978 6566 8174 8498 11956 13132 16348 16996 23912 26264 28609 29743 32696 33992 37027 40669 57218 59486 74054 81338 114436 118972 148108 162676 200263 228872 237944 259189 284683 296216 325352 400526 518378 569366 801052 1036756 1138732 1602104 1814323 1992781 2073512 2277464 2480809 3628646 3985562 4961618 7257292 7971124 9923236 14514584 15942248 17365663 19846472 34731326 69462652 121559641 138925304 243119282 486238564 972477128
- Sum of all divisors σ(n): 2191645440
- Sum of proper divisors (its aliquot sum) s(n): 1219168312
- 972477128 is an abundant number, because the sum of its proper divisors (1219168312) is greater than itself. Its abundance is 246691184
Bases of 972477128
- Binary: 1110011111011011010010110010002
- Hexadecimal: 0x39F6D2C8
- Base-36: G2ZK5K
Squares and roots of 972477128
- 972477128 squared (9724771282) is 945711764483128384
- 972477128 cubed (9724771283) is 919683060640365095327601152
-
The
square root of 972477128 is 31184.5655413059 -
The
cube root of 972477128 is 990.7402306595
Scales and comparisons
How big is 972477128?- 972,477,128 seconds is equal to 30 years, 47 weeks, 6 days, 12 hours, 32 minutes, 8 seconds.
-
To count from 1 to 972,477,128 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 972477128 cubic inches would be around 82.6 feet tall.
Recreational maths with 972477128
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