122948340
122,948,340 is an even composite number composed of six prime numbers multiplied together.
122948340 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 122948340:
22 × 3 × 5 × 23 × 412 × 53
(2 × 2 × 3 × 5 × 23 × 41 × 41 × 53)See below for interesting mathematical facts about the number 122948340 from the Numbermatics database.
Names of 122948340
- Cardinal: 122948340 can be written as One hundred twenty-two million, nine hundred forty-eight thousand, three hundred forty.
Scientific notation
- Scientific notation: 1.2294834 × 108
Factors of 122948340
Divisors of 122948340
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 10 12 15 20 23 30 41 46 53 60 69 82 92 106 115 123 138 159 164 205 212 230 246 265 276 318 345 410 460 492 530 615 636 690 795 820 943 1060 1219 1230 1380 1590 1681 1886 2173 2438 2460 2829 3180 3362 3657 3772 4346 4715 4876 5043 5658 6095 6519 6724 7314 8405 8692 9430 10086 10865 11316 12190 13038 14145 14628 16810 18285 18860 20172 21730 24380 25215 26076 28290 32595 33620 36570 38663 43460 49979 50430 56580 65190 73140 77326 89093 99958 100860 115989 130380 149937 154652 178186 193315 199916 231978 249895 267279 299874 356372 386630 445465 463956 499790 534558 579945 599748 749685 773260 890930 999580 1069116 1159890 1336395 1499370 1781860 2049139 2319780 2672790 2998740 4098278 5345580 6147417 8196556 10245695 12294834 20491390 24589668 30737085 40982780 61474170 122948340
- Sum of all divisors σ(n): 375145344
- Sum of proper divisors (its aliquot sum) s(n): 252197004
- 122948340 is an abundant number, because the sum of its proper divisors (252197004) is greater than itself. Its abundance is 129248664
Bases of 122948340
- Binary: 1110101010000001010111101002
- Hexadecimal: 0x7540AF4
- Base-36: 2177JO
Squares and roots of 122948340
- 122948340 squared (1229483402) is 15116294308755600
- 122948340 cubed (1229483403) is 1858523292212948485704000
-
The
square root of 122948340 is 11088.2072491453 -
The
cube root of 122948340 is 497.2493489195
Scales and comparisons
How big is 122948340?- 122,948,340 seconds is equal to 3 years, 47 weeks, 2 days, 19 minutes.
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To count from 1 to 122,948,340 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 122948340 cubic inches would be around 41.4 feet tall.
Recreational maths with 122948340
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