120171128
120,171,128 is an even composite number composed of five prime numbers multiplied together.
120171128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 120171128:
23 × 72 × 11 × 29 × 312
(2 × 2 × 2 × 7 × 7 × 11 × 29 × 31 × 31)See below for interesting mathematical facts about the number 120171128 from the Numbermatics database.
Names of 120171128
- Cardinal: 120171128 can be written as One hundred twenty million, one hundred seventy-one thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.20171128 × 108
Factors of 120171128
Divisors of 120171128
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 8 11 14 22 28 29 31 44 49 56 58 62 77 88 98 116 124 154 196 203 217 232 248 308 319 341 392 406 434 539 616 638 682 812 868 899 961 1078 1276 1364 1421 1519 1624 1736 1798 1922 2156 2233 2387 2552 2728 2842 3038 3596 3844 4312 4466 4774 5684 6076 6293 6727 7192 7688 8932 9548 9889 10571 11368 12152 12586 13454 15631 16709 17864 19096 19778 21142 25172 26908 27869 31262 33418 39556 42284 44051 47089 50344 53816 55738 62524 66836 69223 73997 79112 84568 88102 94178 111476 125048 133672 138446 147994 176204 188356 195083 222952 276892 295988 306559 352408 376712 390166 484561 517979 553784 591976 613118 780332 969122 1035958 1226236 1365581 1560664 1938244 2071916 2145913 2452472 2731162 3876488 4143832 4291826 5462324 8583652 10924648 15021391 17167304 30042782 60085564 120171128
- Sum of all divisors σ(n): 305645400
- Sum of proper divisors (its aliquot sum) s(n): 185474272
- 120171128 is an abundant number, because the sum of its proper divisors (185474272) is greater than itself. Its abundance is 65303144
Bases of 120171128
- Binary: 1110010100110101010011110002
- Hexadecimal: 0x729AA78
- Base-36: 1ZJOMW
Squares and roots of 120171128
- 120171128 squared (1201711282) is 14441100004792384
- 120171128 cubed (1201711283) is 1735403277136706191089152
-
The
square root of 120171128 is 10962.2592561935 -
The
cube root of 120171128 is 493.4767690219
Scales and comparisons
How big is 120171128?- 120,171,128 seconds is equal to 3 years, 42 weeks, 4 days, 20 hours, 52 minutes, 8 seconds.
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To count from 1 to 120,171,128 would take you about five 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 120171128 cubic inches would be around 41.1 feet tall.
Recreational maths with 120171128
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