146113968
146,113,968 is an even composite number composed of six prime numbers multiplied together.
146113968 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 146113968:
24 × 3 × 7 × 11 × 13 × 3041
(2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 3041)See below for interesting mathematical facts about the number 146113968 from the Numbermatics database.
Names of 146113968
- Cardinal: 146113968 can be written as One hundred forty-six million, one hundred thirteen thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.46113968 × 108
Factors of 146113968
Divisors of 146113968
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3041 3432 3696 4004 4368 6006 6082 6864 8008 9123 12012 12164 16016 18246 21287 24024 24328 33451 36492 39533 42574 48048 48656 63861 66902 72984 79066 85148 100353 118599 127722 133804 145968 158132 170296 200706 234157 237198 255444 267608 276731 316264 340592 401412 434863 468314 474396 510888 535216 553462 632528 702471 802824 830193 869726 936628 948792 1021776 1106924 1304589 1404942 1605648 1660386 1739452 1873256 1897584 2213848 2609178 2809884 3044041 3320772 3478904 3746512 4427696 5218356 5619768 6088082 6641544 6957808 9132123 10436712 11239536 12176164 13283088 18264246 20873424 24352328 36528492 48704656 73056984 146113968
- Sum of all divisors σ(n): 506967552
- Sum of proper divisors (its aliquot sum) s(n): 360853584
- 146113968 is an abundant number, because the sum of its proper divisors (360853584) is greater than itself. Its abundance is 214739616
Bases of 146113968
- Binary: 10001011010110000101101100002
- Hexadecimal: 0x8B585B0
- Base-36: 2EZQ9C
Squares and roots of 146113968
- 146113968 squared (1461139682) is 21349291644705024
- 146113968 cubed (1461139683) is 3119429716197097246175232
-
The
square root of 146113968 is 12087.7610830129 -
The
cube root of 146113968 is 526.7007195487
Scales and comparisons
How big is 146113968?- 146,113,968 seconds is equal to 4 years, 33 weeks, 4 days, 3 hours, 12 minutes, 48 seconds.
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To count from 1 to 146,113,968 would take you about 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 146113968 cubic inches would be around 43.9 feet tall.
Recreational maths with 146113968
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