138125762617040000
138,125,762,617,040,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138125762617040000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3600 divisors.
138125762617040000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, six hundred divisors.
Prime factorization of 138125762617040000:
27 × 54 × 114 × 312 × 412 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 31 × 31 × 41 × 41 × 73)See below for interesting mathematical facts about the number 138125762617040000 from the Numbermatics database.
Names of 138125762617040000
- Cardinal: 138125762617040000 can be written as One hundred thirty-eight quadrillion, one hundred twenty-five trillion, seven hundred sixty-two billion, six hundred seventeen million, forty thousand.
Scientific notation
- Scientific notation: 1.3812576261704 × 1017
Factors of 138125762617040000
Divisors of 138125762617040000
- Number of divisors d(n): 3600
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 41 44 50 55 62 64 73 80 82 88 100 110 121 124 125 128 146 155 160 164 176 200 205 220 242 248 250 275 292 310 320 328 341 352 365 400 410 440 451 484 496 500 550 584 605 620 625 640 656 682 704 730 775 800 803 820 880 902 961 968 992 1000 1025 1100 1168 1210 1240 1250 1271 1312 1331 1364 1375 1408 1460 1550 1600 1606 1640 1681 1705 1760 1804 1825 1922 1936 1984 2000 2050 2200 2255 2263 2336 2420 2480 2500 2542 2624 2662 2728 2750 2920 2993 3025 3100 3200 3212 3280 3362 3410 3520 3608 3650 3751 3844 3872 3875 3968 4000 4015 4100 4400 4510 4526 4672 4805 4840 4960 4961 5000 5084 5125 5248 5324 5456 5500 5840 5986 6050 6200 6355 6424 6560 6655 6724 6820 6875 7040 7216 7300 7502 7688 7744 7750 8000 8030 8200 8405 8525 8800 8833 9020 9052 9125 9344 9610 9680 9920 9922 10000 10168 10250 10571 10648 10912 11000 11275 11315 11680 11972 12100 12400 12710 12848 13120 13310 13448 13640 13750 13981 14432 14600 14641 14965 15004 15125 15376 15488 15500 16000 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2227834880920000 2511377502128000 2762515252340800 3139221877660000 3368921039440000 3453144065426000 4316430081782500 4455669761840000 5525030504681600 6278443755320000 6906288130852000 8632860163565000 12556887510640000 13812576261704000 17265720327130000 27625152523408000 34531440654260000 69062881308520000 138125762617040000
- Sum of all divisors σ(n): 406086160728634650
- Sum of proper divisors (its aliquot sum) s(n): 267960398111594650
- 138125762617040000 is an abundant number, because the sum of its proper divisors (267960398111594650) is greater than itself. Its abundance is 129834635494554650
Bases of 138125762617040000
- Binary: 1111010101011100010100110001101110001111001011100100000002
- Hexadecimal: 0x1EAB8A6371E5C80
- Base-36: 11S1HVCOOFI8
Squares and roots of 138125762617040000
- 138125762617040000 squared (1381257626170400002) is 19078726298538884749698361600000000
- 138125762617040000 cubed (1381257626170400003) is 2635263619747460217932698912105416241664000000000000
-
The
square root of 138125762617040000 is 371652744.6650165665 -
The
cube root of 138125762617040000 is 516921.8575483649
Scales and comparisons
How big is 138125762617040000?- 138,125,762,617,040,000 seconds is equal to 4,391,972,000 years, 9 weeks, 4 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,125,762,617,040,000 would take you about thirteen billion, one hundred seventy-five million, nine hundred sixteen thousand 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 138125762617040000 cubic inches would be around 43076.8 feet tall.
Recreational maths with 138125762617040000
- 138125762617040000 backwards is 000040716267521831
- The number of decimal digits it has is: 18
- The sum of 138125762617040000's digits is 53
- More coming soon!
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"Number 138125762617040000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138125762617040000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138125762617040000/
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Numbermatics. 2024. "Number 138125762617040000 - Facts about the integer". https://numbermatics.com/n/138125762617040000/
The information we have on file for 138125762617040000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138125762617040000, math, Factors of 138125762617040000, curriculum, school, college, exams, university, Prime factorization of 138125762617040000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred twenty-five trillion, seven hundred sixty-two billion, six hundred seventeen million, forty thousand.