138125762617040000000
138,125,762,617,040,000,000 is an even composite number composed of six prime numbers multiplied together.
138125762617040000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven thousand, nine hundred twenty divisors.
Prime factorization of 138125762617040000000:
210 × 57 × 114 × 312 × 412 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 31 × 31 × 41 × 41 × 73)See below for interesting mathematical facts about the number 138125762617040000000 from the Numbermatics database.
Names of 138125762617040000000
- Cardinal: 138125762617040000000 can be written as One hundred thirty-eight quintillion, one hundred twenty-five quadrillion, seven hundred sixty-two trillion, six hundred seventeen billion, forty million.
Scientific notation
- Scientific notation: 1.3812576261704 × 1020
Factors of 138125762617040000000
Divisors of 138125762617040000000
- Number of divisors d(n): 7920
-
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 88 100 110 121 124 125 128 146 155 160 164 176 200 205 220 242 248 250 256 275 292 310 320 328 341 352 365 400 410 440 451 484 496 500 512 550 584 605 620 625 640 656 682 704 730 775 800 803 820 880 902 961 968 992 1000 1024 1025 1100 1168 1210 1240 1250 1271 1280 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 2560 2624 2662 2728 2750 2816 2920 2993 3025 3100 3125 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 5120 5125 5248 5324 5456 5500 5632 5840 5986 6050 6200 6250 6355 6400 6424 6560 6655 6724 6820 6875 7040 7216 7300 7502 7688 7744 7750 7936 8000 8030 8200 8405 8525 8800 8833 9020 9052 9125 9344 9610 9680 9920 9922 10000 10168 10250 10496 10571 10648 10912 11000 11264 11275 11315 11680 11972 12100 12400 12500 12710 12800 12848 13120 13310 13448 13640 13750 13981 14080 14432 14600 14641 14965 15004 15125 15376 15488 15500 15625 15872 16000 16060 16400 16810 17050 17600 17666 18040 18104 18250 18491 18688 18755 19220 19360 19375 19840 19844 20000 20075 20336 20500 20992 21142 21296 21824 22000 22550 22630 23360 23944 24025 24200 24800 24805 24893 25000 25420 25600 25625 25696 26240 26620 26896 27280 27500 27962 28160 28864 29200 29282 29930 30008 30250 30752 30976 31000 31250 31744 31775 32000 32120 32800 32923 33275 33620 34100 34375 35200 35332 36080 36208 36500 36982 37376 37510 38440 38720 38750 39401 39680 39688 40000 40150 40672 41000 41261 41984 42025 42284 42592 42625 43648 44000 44165 45100 45260 45625 46720 47888 48050 48400 49600 49610 49786 50000 50840 51250 51392 52111 52480 52855 53240 53792 54560 54571 55000 55924 56320 56375 56575 57728 58400 58564 59860 60016 60500 61504 61952 62000 62500 63550 64000 64240 65600 65846 66550 67240 68200 68750 69905 70153 70400 70664 72160 72416 73000 73205 73964 74752 74825 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405060887440000000 421115129930000000 431643008178250000 445566976184000000 473033433620000000 502275500425600000 539553760222812500 552503050468160000 556958720230000000 570767614120000000 627844375532000000 673784207888000000 690628813085200000 784805469415000000 842230259860000000 863286016356500000 891133952368000000 946066867240000000 1079107520445625000 1105006100936320000 1113917440460000000 1141535228240000000 1255688751064000000 1381257626170400000 1569610938830000000 1684460519720000000 1726572032713000000 1892133734480000000 2158215040891250000 2227834880920000000 2511377502128000000 2762515252340800000 3139221877660000000 3368921039440000000 3453144065426000000 4316430081782500000 4455669761840000000 5525030504681600000 6278443755320000000 6906288130852000000 8632860163565000000 12556887510640000000 13812576261704000000 17265720327130000000 27625152523408000000 34531440654260000000 69062881308520000000 138125762617040000000
- Sum of all divisors σ(n): 407608985360651358960
- Sum of proper divisors (its aliquot sum) s(n): 269483222743611358960
- 138125762617040000000 is an abundant number, because the sum of its proper divisors (269483222743611358960) is greater than itself. Its abundance is 131357460126571358960
Bases of 138125762617040000000
- Binary: 11101111100111000010100100101000111010011101001100101010100000000002
- Hexadecimal: 0x77CE149474E995400
- Base-36: T5EXKEWDIMQ68
Squares and roots of 138125762617040000000
- 138125762617040000000 squared (1381257626170400000002) is 19078726298538884749698361600000000000000
- 138125762617040000000 cubed (1381257626170400000003) is 2635263619747460217932698912105416241664000000000000000000000
-
The
square root of 138125762617040000000 is 11752691717.9444471295 -
The
cube root of 138125762617040000000 is 5169218.5754836483
Scales and comparisons
How big is 138125762617040000000?- 138,125,762,617,040,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,125,762,617,040,000,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138125762617040000000 cubic inches would be around 430768.2 feet tall.
Recreational maths with 138125762617040000000
- 138125762617040000000 backwards is 000000040716267521831
- The number of decimal digits it has is: 21
- The sum of 138125762617040000000's digits is 53
- More coming soon!
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"Number 138125762617040000000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138125762617040000000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138125762617040000000/
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The information we have on file for 138125762617040000000 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 138125762617040000000, math, Factors of 138125762617040000000, curriculum, school, college, exams, university, Prime factorization of 138125762617040000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred twenty-five quadrillion, seven hundred sixty-two trillion, six hundred seventeen billion, forty million.