981405138
981,405,138 is an even composite number composed of seven prime numbers multiplied together.
981405138 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 981405138:
2 × 3 × 7 × 17 × 19 × 73 × 991
See below for interesting mathematical facts about the number 981405138 from the Numbermatics database.
Names of 981405138
- Cardinal: 981405138 can be written as Nine hundred eighty-one million, four hundred five thousand, one hundred thirty-eight.
Scientific notation
- Scientific notation: 9.81405138 × 108
Factors of 981405138
Divisors of 981405138
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 6 7 14 17 19 21 34 38 42 51 57 73 102 114 119 133 146 219 238 266 323 357 399 438 511 646 714 798 969 991 1022 1241 1387 1533 1938 1982 2261 2482 2774 2973 3066 3723 4161 4522 5946 6783 6937 7446 8322 8687 9709 13566 13874 16847 17374 18829 19418 20811 23579 26061 29127 33694 37658 41622 47158 50541 52122 56487 58254 70737 72343 101082 112974 117929 131803 141474 144686 165053 217029 235858 263606 320093 330106 353787 395409 434058 495159 506401 640186 707574 790818 960279 990318 1012802 1229831 1374517 1519203 1920558 2240651 2459662 2749034 3038406 3689493 4123551 4481302 6721953 7378986 8247102 8608817 9621619 13443906 17217634 19243238 23366789 25826451 28864857 46733578 51652902 57729714 70100367 140200734 163567523 327135046 490702569 981405138
- Sum of all divisors σ(n): 2536980480
- Sum of proper divisors (its aliquot sum) s(n): 1555575342
- 981405138 is an abundant number, because the sum of its proper divisors (1555575342) is greater than itself. Its abundance is 574170204
Bases of 981405138
- Binary: 1110100111111100001101110100102
- Hexadecimal: 0x3A7F0DD2
- Base-36: G8AX1U
Squares and roots of 981405138
- 981405138 squared (9814051382) is 963156044892799044
- 981405138 cubed (9814051383) is 945246291153551640983088072
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The
square root of 981405138 is 31327.3863895475 -
The
cube root of 981405138 is 993.7628920285
Scales and comparisons
How big is 981405138?- 981,405,138 seconds is equal to 31 years, 10 weeks, 4 days, 20 hours, 32 minutes, 18 seconds.
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To count from 1 to 981,405,138 would take you about forty-six 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 981405138 cubic inches would be around 82.8 feet tall.
Recreational maths with 981405138
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