138316080
138,316,080 is an even composite number composed of seven prime numbers multiplied together.
138316080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138316080:
24 × 3 × 5 × 7 × 17 × 29 × 167
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 29 × 167)See below for interesting mathematical facts about the number 138316080 from the Numbermatics database.
Names of 138316080
- Cardinal: 138316080 can be written as One hundred thirty-eight million, three hundred sixteen thousand and eighty.
Scientific notation
- Scientific notation: 1.3831608 × 108
Factors of 138316080
Divisors of 138316080
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 29 30 34 35 40 42 48 51 56 58 60 68 70 80 84 85 87 102 105 112 116 119 120 136 140 145 167 168 170 174 203 204 210 232 238 240 255 272 280 290 334 336 340 348 357 406 408 420 435 464 476 493 501 510 560 580 595 609 668 680 696 714 812 816 835 840 870 952 986 1002 1015 1020 1160 1169 1190 1218 1336 1360 1392 1428 1479 1624 1670 1680 1740 1785 1904 1972 2004 2030 2040 2320 2338 2380 2436 2465 2505 2672 2839 2856 2958 3045 3248 3340 3451 3480 3507 3570 3944 4008 4060 4080 4676 4760 4843 4872 4930 5010 5678 5712 5845 5916 6090 6680 6902 6960 7014 7140 7395 7888 8016 8120 8517 9352 9520 9686 9744 9860 10020 10353 11356 11690 11832 12180 13360 13804 14028 14195 14280 14529 14790 16240 17034 17255 17535 18704 19372 19720 19873 20040 20706 22712 23380 23664 24215 24360 27608 28056 28390 28560 29058 29580 33901 34068 34510 35070 38744 39440 39746 40080 41412 42585 45424 46760 48430 48720 51765 55216 56112 56780 58116 59160 59619 67802 68136 69020 70140 72645 77488 79492 82331 82824 85170 93520 96860 99365 101703 103530 113560 116232 118320 119238 135604 136272 138040 140280 145290 158984 164662 165648 169505 170340 193720 198730 203406 207060 227120 232464 238476 246993 271208 276080 280560 290580 298095 317968 329324 339010 340680 387440 397460 406812 411655 414120 476952 493986 508515 542416 576317 581160 596190 658648 678020 681360 794920 813624 823310 828240 953904 987972 1017030 1152634 1162320 1192380 1234965 1317296 1356040 1589840 1627248 1646620 1728951 1975944 2034060 2305268 2384760 2469930 2712080 2881585 3293240 3457902 3951888 4068120 4610536 4769520 4939860 5763170 6586480 6915804 8136240 8644755 9221072 9879720 11526340 13831608 17289510 19759440 23052680 27663216 34579020 46105360 69158040 138316080
- Sum of all divisors σ(n): 539965440
- Sum of proper divisors (its aliquot sum) s(n): 401649360
- 138316080 is an abundant number, because the sum of its proper divisors (401649360) is greater than itself. Its abundance is 263333280
Bases of 138316080
- Binary: 10000011111010001001001100002
- Hexadecimal: 0x83E8930
- Base-36: 2ACLDC
Squares and roots of 138316080
- 138316080 squared (1383160802) is 19131337986566400
- 138316080 cubed (1383160803) is 2646171675456957107712000
-
The
square root of 138316080 is 11760.7856880397 -
The
cube root of 138316080 is 517.1591631837
Scales and comparisons
How big is 138316080?- 138,316,080 seconds is equal to 4 years, 20 weeks, 4 days, 21 hours, 8 minutes.
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To count from 1 to 138,316,080 would take you about 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 138316080 cubic inches would be around 43.1 feet tall.
Recreational maths with 138316080
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Numbermatics. (2024). Number 138316080 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138316080/
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