428098632
428,098,632 is an even composite number composed of five prime numbers multiplied together.
What does the number 428098632 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 128 divisors.
428098632 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 428098632:
23 × 3 × 133 × 23 × 353
(2 × 2 × 2 × 3 × 13 × 13 × 13 × 23 × 353)See below for interesting mathematical facts about the number 428098632 from the Numbermatics database.
Names of 428098632
- Cardinal: 428098632 can be written as Four hundred twenty-eight million, ninety-eight thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 4.28098632 × 108
Factors of 428098632
Divisors of 428098632
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 169 184 276 299 312 338 353 507 552 598 676 706 897 1014 1059 1196 1352 1412 1794 2028 2118 2197 2392 2824 3588 3887 4056 4236 4394 4589 6591 7176 7774 8119 8472 8788 9178 11661 13182 13767 15548 16238 17576 18356 23322 24357 26364 27534 31096 32476 36712 46644 48714 50531 52728 55068 59657 64952 93288 97428 101062 105547 110136 119314 151593 178971 194856 202124 211094 238628 303186 316641 357942 404248 422188 477256 606372 633282 715884 775541 844376 1212744 1266564 1372111 1431768 1551082 2326623 2533128 2744222 3102164 4116333 4653246 5488444 6204328 8232666 9306492 10976888 16465332 17837443 18612984 32930664 35674886 53512329 71349772 107024658 142699544 214049316 428098632
- Sum of all divisors σ(n): 1213228800
- Sum of proper divisors (its aliquot sum) s(n): 785130168
- 428098632 is an abundant number, because the sum of its proper divisors (785130168) is greater than itself. Its abundance is 357031536
Bases of 428098632
- Binary: 110011000010001000100010010002
- Hexadecimal: 0x19844448
- Base-36: 72VN0O
Squares and roots of 428098632
- 428098632 squared (4280986322) is 183268438720271424
- 428098632 cubed (4280986323) is 78456967904924027283091968
-
The
square root of 428098632 is 20690.5445070931 -
The
cube root of 428098632 is 753.6700895183
Scales and comparisons
How big is 428098632?- 428,098,632 seconds is equal to 13 years, 31 weeks, 5 days, 20 hours, 17 minutes, 12 seconds.
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To count from 1 to 428,098,632 would take you about twenty 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 428098632 cubic inches would be around 62.8 feet tall.
Recreational maths with 428098632
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