981456138
981,456,138 is an even composite number composed of six prime numbers multiplied together.
981456138 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 981456138:
2 × 32 × 13 × 172 × 23 × 631
(2 × 3 × 3 × 13 × 17 × 17 × 23 × 631)See below for interesting mathematical facts about the number 981456138 from the Numbermatics database.
Names of 981456138
- Cardinal: 981456138 can be written as Nine hundred eighty-one million, four hundred fifty-six thousand, one hundred thirty-eight.
Scientific notation
- Scientific notation: 9.81456138 × 108
Factors of 981456138
Divisors of 981456138
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 6 9 13 17 18 23 26 34 39 46 51 69 78 102 117 138 153 207 221 234 289 299 306 391 414 442 578 598 631 663 782 867 897 1173 1262 1326 1734 1794 1893 1989 2346 2601 2691 3519 3757 3786 3978 5083 5202 5382 5679 6647 7038 7514 8203 10166 10727 11271 11358 13294 14513 15249 16406 19941 21454 22542 24609 29026 30498 32181 33813 39882 43539 45747 49218 59823 64362 67626 73827 86411 87078 91494 96543 119646 130617 139451 147654 172822 182359 188669 193086 246721 259233 261234 278902 364718 377338 418353 493442 518466 547077 566007 740163 777699 836706 1094154 1132014 1255059 1480326 1555398 1641231 1698021 2220489 2370667 2510118 3207373 3282462 3396042 4194257 4440978 4741334 6414746 7112001 8388514 9622119 12582771 14224002 19244238 21336003 25165542 28866357 37748313 42672006 54525341 57732714 75496626 109050682 163576023 327152046 490728069 981456138
- Sum of all divisors σ(n): 2542490496
- Sum of proper divisors (its aliquot sum) s(n): 1561034358
- 981456138 is an abundant number, because the sum of its proper divisors (1561034358) is greater than itself. Its abundance is 579578220
Bases of 981456138
- Binary: 1110100111111111010101000010102
- Hexadecimal: 0x3A7FD50A
- Base-36: G8C0EI
Squares and roots of 981456138
- 981456138 squared (9814561382) is 963256150817875044
- 981456138 cubed (9814561383) is 945393661686457182050820072
-
The
square root of 981456138 is 31328.2003632509 -
The
cube root of 981456138 is 993.7801057925
Scales and comparisons
How big is 981456138?- 981,456,138 seconds is equal to 31 years, 10 weeks, 5 days, 10 hours, 42 minutes, 18 seconds.
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To count from 1 to 981,456,138 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 981456138 cubic inches would be around 82.8 feet tall.
Recreational maths with 981456138
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