988146198
988,146,198 is an even composite number composed of six prime numbers multiplied together.
What does the number 988146198 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 96 divisors.
988146198 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 988146198:
2 × 32 × 13 × 37 × 61 × 1871
(2 × 3 × 3 × 13 × 37 × 61 × 1871)See below for interesting mathematical facts about the number 988146198 from the Numbermatics database.
Names of 988146198
- Cardinal: 988146198 can be written as Nine hundred eighty-eight million, one hundred forty-six thousand, one hundred ninety-eight.
Scientific notation
- Scientific notation: 9.88146198 × 108
Factors of 988146198
Divisors of 988146198
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 6 9 13 18 26 37 39 61 74 78 111 117 122 183 222 234 333 366 481 549 666 793 962 1098 1443 1586 1871 2257 2379 2886 3742 4329 4514 4758 5613 6771 7137 8658 11226 13542 14274 16839 20313 24323 29341 33678 40626 48646 58682 69227 72969 88023 114131 138454 145938 176046 207681 218907 228262 264069 342393 415362 437814 528138 623043 684786 899951 1027179 1246086 1483703 1799902 2054358 2699853 2967406 4222847 4451109 5399706 8099559 8445694 8902218 12668541 13353327 16199118 25337082 26706654 38005623 54897011 76011246 109794022 164691033 329382066 494073099 988146198
- Sum of all divisors σ(n): 2408095872
- Sum of proper divisors (its aliquot sum) s(n): 1419949674
- 988146198 is an abundant number, because the sum of its proper divisors (1419949674) is greater than itself. Its abundance is 431803476
Bases of 988146198
- Binary: 1110101110010111101010000101102
- Hexadecimal: 0x3AE5EA16
- Base-36: GCBEHI
Squares and roots of 988146198
- 988146198 squared (9881461982) is 976432908621855204
- 988146198 cubed (9881461983) is 964858466256767639539114392
-
The
square root of 988146198 is 31434.7927939727 -
The
cube root of 988146198 is 996.0330165181
Scales and comparisons
How big is 988146198?- 988,146,198 seconds is equal to 31 years, 21 weeks, 5 days, 21 hours, 3 minutes, 18 seconds.
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To count from 1 to 988,146,198 would take you about forty-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 988146198 cubic inches would be around 83 feet tall.
Recreational maths with 988146198
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