137380961520000
137,380,961,520,000 is an even composite number composed of seven prime numbers multiplied together.
137380961520000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 137380961520000:
27 × 33 × 54 × 11 × 31 × 37 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 31 × 37 × 71 × 71)See below for interesting mathematical facts about the number 137380961520000 from the Numbermatics database.
Names of 137380961520000
- Cardinal: 137380961520000 can be written as One hundred thirty-seven trillion, three hundred eighty billion, nine hundred sixty-one million, five hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3738096152 × 1014
Factors of 137380961520000
Divisors of 137380961520000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 31 32 33 36 37 40 44 45 48 50 54 55 60 62 64 66 71 72 74 75 80 88 90 93 96 99 100 108 110 111 120 124 125 128 132 135 142 144 148 150 155 160 165 176 180 185 186 192 198 200 213 216 220 222 225 240 248 250 264 270 275 279 284 288 296 297 300 310 320 330 333 341 352 355 360 370 372 375 384 396 400 407 426 432 440 444 450 465 480 495 496 500 528 540 550 555 558 568 576 592 594 600 620 625 639 640 660 666 675 682 704 710 720 740 744 750 775 781 792 800 814 825 837 852 864 880 888 900 925 930 960 990 992 999 1000 1023 1056 1065 1080 1100 1110 1116 1125 1136 1147 1152 1184 1188 1200 1221 1240 1250 1278 1320 1332 1350 1364 1375 1395 1408 1420 1440 1480 1485 1488 1500 1550 1562 1584 1600 1628 1650 1665 1674 1704 1705 1728 1760 1775 1776 1800 1850 1860 1875 1917 1920 1980 1984 1998 2000 2035 2046 2112 2130 2160 2200 2201 2220 2232 2250 2272 2294 2325 2343 2368 2376 2400 2442 2475 2480 2500 2556 2627 2640 2664 2700 2728 2750 2775 2790 2840 2880 2960 2970 2976 3000 3069 3100 3124 3168 3195 3200 3256 3300 3330 3348 3375 3408 3410 3441 3456 3520 3550 3552 3600 3663 3700 3720 3750 3834 3875 3905 3960 3968 3996 4000 4070 4092 4125 4185 4224 4260 4320 4400 4402 4440 4464 4500 4544 4588 4625 4650 4686 4736 4752 4800 4884 4950 4960 4995 5000 5041 5112 5115 5254 5280 5325 5328 5400 5456 5500 5550 5580 5625 5680 5735 5760 5920 5940 5952 6000 6105 6138 6200 6248 6336 6390 6512 6600 6603 6660 6696 6750 6816 6820 6875 6882 6975 7029 7040 7100 7104 7200 7326 7400 7425 7440 7500 7668 7750 7810 7881 7920 7992 8000 8140 8184 8250 8325 8370 8520 8525 8640 8800 8804 8875 8880 8928 9000 9088 9176 9207 9250 9300 9372 9504 9585 9600 9768 9900 9920 9990 10000 10082 10175 10224 10230 10323 10508 10560 10650 10656 10800 10912 10989 11000 11005 11100 11160 11250 11360 11470 11625 11715 11840 11880 11904 12000 12210 12276 12375 12400 12496 12617 12672 12780 13024 13135 13200 13206 13320 13392 13500 13632 13640 13750 13764 13875 13950 14058 14200 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- Sum of all divisors σ(n): 594349387315200
- Sum of proper divisors (its aliquot sum) s(n): 456968425795200
- 137380961520000 is an abundant number, because the sum of its proper divisors (456968425795200) is greater than itself. Its abundance is 319587464275200
Bases of 137380961520000
- Binary: 111110011110010011111110110100100001001100000002
- Hexadecimal: 0x7CF27F690980
- Base-36: 1CP3XXF1C0
Squares and roots of 137380961520000
- 137380961520000 squared (1373809615200002) is 18873528588159720710400000000
- 137380961520000 cubed (1373809615200003) is 2592863504716590518529409463808000000000000
-
The
square root of 137380961520000 is 11720962.4826632731 -
The
cube root of 137380961520000 is 51599.1067990331
Scales and comparisons
How big is 137380961520000?- 137,380,961,520,000 seconds is equal to 4,368,289 years, 32 weeks, 5 days.
-
To count from 1 to 137,380,961,520,000 would take you about ten million, nine hundred twenty thousand, seven hundred twenty-four 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 137380961520000 cubic inches would be around 4299.9 feet tall.
Recreational maths with 137380961520000
- 137380961520000 backwards is 000025169083731
- 137380961520000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137380961520000's digits is 45
- More coming soon!
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"Number 137380961520000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 137380961520000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/137380961520000/
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The information we have on file for 137380961520000 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 137380961520000, math, Factors of 137380961520000, curriculum, school, college, exams, university, Prime factorization of 137380961520000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, three hundred eighty billion, nine hundred sixty-one million, five hundred twenty thousand.