198000972
198,000,972 is an even composite number composed of six prime numbers multiplied together.
198000972 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 198000972:
22 × 32 × 13 × 17 × 41 × 607
(2 × 2 × 3 × 3 × 13 × 17 × 41 × 607)See below for interesting mathematical facts about the number 198000972 from the Numbermatics database.
Names of 198000972
- Cardinal: 198000972 can be written as One hundred ninety-eight million, nine hundred seventy-two.
Scientific notation
- Scientific notation: 1.98000972 × 108
Factors of 198000972
Divisors of 198000972
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 9 12 13 17 18 26 34 36 39 41 51 52 68 78 82 102 117 123 153 156 164 204 221 234 246 306 369 442 468 492 533 607 612 663 697 738 884 1066 1214 1326 1394 1476 1599 1821 1989 2091 2132 2428 2652 2788 3198 3642 3978 4182 4797 5463 6273 6396 7284 7891 7956 8364 9061 9594 10319 10926 12546 15782 18122 19188 20638 21852 23673 24887 25092 27183 30957 31564 36244 41276 47346 49774 54366 61914 71019 74661 81549 92871 94692 99548 108732 123828 134147 142038 149322 163098 185742 223983 268294 284076 298644 323531 326196 371484 402441 423079 447966 536588 647062 804882 846158 895932 970593 1207323 1269237 1294124 1609764 1692316 1941186 2414646 2538474 2911779 3807711 3882372 4829292 5076948 5500027 5823558 7615422 11000054 11647116 15230844 16500081 22000108 33000162 49500243 66000324 99000486 198000972
- Sum of all divisors σ(n): 585591552
- Sum of proper divisors (its aliquot sum) s(n): 387590580
- 198000972 is an abundant number, because the sum of its proper divisors (387590580) is greater than itself. Its abundance is 189589608
Bases of 198000972
- Binary: 10111100110101000001010011002
- Hexadecimal: 0xBCD414C
- Base-36: 39VUJ0
Squares and roots of 198000972
- 198000972 squared (1980009722) is 39204384912944784
- 198000972 cubed (1980009723) is 7762506319425202614330048
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The
square root of 198000972 is 14071.2818179439 -
The
cube root of 198000972 is 582.8486220743
Scales and comparisons
How big is 198000972?- 198,000,972 seconds is equal to 6 years, 15 weeks, 2 days, 16 hours, 16 minutes, 12 seconds.
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To count from 1 to 198,000,972 would take you about nine 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 198000972 cubic inches would be around 48.6 feet tall.
Recreational maths with 198000972
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