146828220
146,828,220 is an even composite number composed of seven prime numbers multiplied together.
146828220 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 146828220:
22 × 3 × 5 × 7 × 11 × 61 × 521
(2 × 2 × 3 × 5 × 7 × 11 × 61 × 521)See below for interesting mathematical facts about the number 146828220 from the Numbermatics database.
Names of 146828220
- Cardinal: 146828220 can be written as One hundred forty-six million, eight hundred twenty-eight thousand, two hundred twenty.
Scientific notation
- Scientific notation: 1.4682822 × 108
Factors of 146828220
Divisors of 146828220
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 61 66 70 77 84 105 110 122 132 140 154 165 183 210 220 231 244 305 308 330 366 385 420 427 462 521 610 660 671 732 770 854 915 924 1042 1155 1220 1281 1342 1540 1563 1708 1830 2013 2084 2135 2310 2562 2605 2684 3126 3355 3647 3660 4026 4270 4620 4697 5124 5210 5731 6252 6405 6710 7294 7815 8052 8540 9394 10065 10420 10941 11462 12810 13420 14091 14588 15630 17193 18235 18788 20130 21882 22924 23485 25620 28182 28655 31260 31781 34386 36470 40117 40260 43764 46970 54705 56364 57310 63562 68772 70455 72940 80234 85965 93940 95343 109410 114620 120351 127124 140910 158905 160468 171930 190686 200585 218820 222467 240702 281820 317810 343860 349591 381372 401170 444934 476715 481404 601755 635620 667401 699182 802340 889868 953430 1048773 1112335 1203510 1334802 1398364 1747955 1906860 2097546 2224670 2407020 2447137 2669604 3337005 3495910 4195092 4449340 4894274 5243865 6674010 6991820 7341411 9788548 10487730 12235685 13348020 14682822 20975460 24471370 29365644 36707055 48942740 73414110 146828220
- Sum of all divisors σ(n): 521966592
- Sum of proper divisors (its aliquot sum) s(n): 375138372
- 146828220 is an abundant number, because the sum of its proper divisors (375138372) is greater than itself. Its abundance is 228310152
Bases of 146828220
- Binary: 10001100000001101011101111002
- Hexadecimal: 0x8C06BBC
- Base-36: 2FF1DO
Squares and roots of 146828220
- 146828220 squared (1468282202) is 21558526188368400
- 146828220 cubed (1468282203) is 3165400026061516876248000
-
The
square root of 146828220 is 12117.2694944035 -
The
cube root of 146828220 is 527.5575523259
Scales and comparisons
How big is 146828220?- 146,828,220 seconds is equal to 4 years, 34 weeks, 5 days, 9 hours, 37 minutes.
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To count from 1 to 146,828,220 would take you about seven 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 146828220 cubic inches would be around 44 feet tall.
Recreational maths with 146828220
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