972945168
972,945,168 is an even composite number composed of six prime numbers multiplied together.
972945168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 972945168:
24 × 3 × 132 × 31 × 53 × 73
(2 × 2 × 2 × 2 × 3 × 13 × 13 × 31 × 53 × 73)See below for interesting mathematical facts about the number 972945168 from the Numbermatics database.
Names of 972945168
- Cardinal: 972945168 can be written as Nine hundred seventy-two million, nine hundred forty-five thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 9.72945168 × 108
Factors of 972945168
Divisors of 972945168
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 53 62 73 78 93 104 106 124 146 156 159 169 186 208 212 219 248 292 312 318 338 372 403 424 438 496 507 584 624 636 676 689 744 806 848 876 949 1014 1168 1209 1272 1352 1378 1488 1612 1643 1752 1898 2028 2067 2263 2418 2544 2704 2756 2847 3224 3286 3504 3796 3869 4056 4134 4526 4836 4929 5239 5512 5694 6448 6572 6789 7592 7738 8112 8268 8957 9052 9672 9858 10478 11024 11388 11607 12337 13144 13578 15184 15476 15717 16536 17914 18104 19344 19716 20956 21359 22776 23214 24674 26288 26871 27156 29419 30952 31434 33072 35828 36208 37011 39432 41912 42718 45552 46428 49348 50297 53742 54312 58838 61904 62868 64077 71656 74022 78864 83824 85436 88257 92856 98696 100594 107484 108624 117676 119939 125736 128154 143312 148044 150891 170872 176514 185712 197392 201188 214968 235352 239878 251472 256308 277667 296088 301782 341744 353028 359817 382447 402376 429936 470704 479756 512616 555334 592176 603564 653861 706056 719634 764894 804752 833001 959512 1025232 1110668 1147341 1207128 1307722 1412112 1439268 1529788 1559207 1666002 1919024 1961583 2221336 2294682 2414256 2615444 2878536 3059576 3118414 3332004 3923166 4442672 4589364 4677621 5230888 5757072 6119152 6236828 6664008 7846332 9178728 9355242 10461776 12473656 13328016 15692664 18357456 18710484 20269691 24947312 31385328 37420968 40539382 60809073 74841936 81078764 121618146 162157528 243236292 324315056 486472584 972945168
- Sum of all divisors σ(n): 2901671424
- Sum of proper divisors (its aliquot sum) s(n): 1928726256
- 972945168 is an abundant number, because the sum of its proper divisors (1928726256) is greater than itself. Its abundance is 955781088
Bases of 972945168
- Binary: 1110011111110111110111000100002
- Hexadecimal: 0x39FDF710
- Base-36: G39LAO
Squares and roots of 972945168
- 972945168 squared (9729451682) is 946622299934548224
- 972945168 cubed (9729451683) is 921011592642365410803781632
-
The
square root of 972945168 is 31192.0689919729 -
The
cube root of 972945168 is 990.8991484281
Scales and comparisons
How big is 972945168?- 972,945,168 seconds is equal to 30 years, 48 weeks, 4 days, 22 hours, 32 minutes, 48 seconds.
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To count from 1 to 972,945,168 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 972945168 cubic inches would be around 82.6 feet tall.
Recreational maths with 972945168
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