468122970
468,122,970 is an even composite number composed of six prime numbers multiplied together.
468122970 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 468122970:
2 × 3 × 5 × 74 × 67 × 97
(2 × 3 × 5 × 7 × 7 × 7 × 7 × 67 × 97)See below for interesting mathematical facts about the number 468122970 from the Numbermatics database.
Names of 468122970
- Cardinal: 468122970 can be written as Four hundred sixty-eight million, one hundred twenty-two thousand, nine hundred seventy.
Scientific notation
- Scientific notation: 4.6812297 × 108
Factors of 468122970
Divisors of 468122970
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 5 6 7 10 14 15 21 30 35 42 49 67 70 97 98 105 134 147 194 201 210 245 291 294 335 343 402 469 485 490 582 670 679 686 735 938 970 1005 1029 1358 1407 1455 1470 1715 2010 2037 2058 2345 2401 2814 2910 3283 3395 3430 4074 4690 4753 4802 5145 6499 6566 6790 7035 7203 9506 9849 10185 10290 12005 12998 14070 14259 14406 16415 19497 19698 20370 22981 23765 24010 28518 32495 32830 33271 36015 38994 45493 45962 47530 49245 64990 66542 68943 71295 72030 90986 97485 98490 99813 114905 136479 137886 142590 160867 166355 194970 199626 227465 229810 232897 272958 318451 321734 332710 344715 454930 465794 482601 499065 636902 682395 689430 698691 804335 955353 965202 998130 1164485 1364790 1397382 1592255 1608670 1910706 2229157 2328970 2413005 3184510 3493455 4458314 4776765 4826010 6687471 6986910 9553530 11145785 13374942 15604099 22291570 31208198 33437355 46812297 66874710 78020495 93624594 156040990 234061485 468122970
- Sum of all divisors σ(n): 1343942208
- Sum of proper divisors (its aliquot sum) s(n): 875819238
- 468122970 is an abundant number, because the sum of its proper divisors (875819238) is greater than itself. Its abundance is 407696268
Bases of 468122970
- Binary: 110111110011011111101010110102
- Hexadecimal: 0x1BE6FD5A
- Base-36: 7QPHZU
Squares and roots of 468122970
- 468122970 squared (4681229702) is 219139115041620900
- 468122970 cubed (4681229703) is 102584053376455249322073000
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The
square root of 468122970 is 21636.1496112409 -
The
cube root of 468122970 is 776.4616025097
Scales and comparisons
How big is 468122970?- 468,122,970 seconds is equal to 14 years, 46 weeks, 2 hours, 9 minutes, 30 seconds.
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To count from 1 to 468,122,970 would take you about twenty-two 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 468122970 cubic inches would be around 64.7 feet tall.
Recreational maths with 468122970
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