138406320
138,406,320 is an even composite number composed of six prime numbers multiplied together.
138406320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 138406320:
24 × 34 × 5 × 13 × 31 × 53
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 31 × 53)See below for interesting mathematical facts about the number 138406320 from the Numbermatics database.
Names of 138406320
- Cardinal: 138406320 can be written as One hundred thirty-eight million, four hundred six thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3840632 × 108
Factors of 138406320
Divisors of 138406320
- Number of divisors d(n): 400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 31 36 39 40 45 48 52 53 54 60 62 65 72 78 80 81 90 93 104 106 108 117 120 124 130 135 144 155 156 159 162 180 186 195 208 212 216 234 240 248 260 265 270 279 310 312 318 324 351 360 372 390 403 405 424 432 465 468 477 496 520 530 540 558 585 620 624 636 648 689 702 720 744 780 795 806 810 837 848 930 936 954 1040 1053 1060 1080 1116 1170 1209 1240 1272 1296 1378 1395 1404 1431 1488 1560 1590 1612 1620 1643 1674 1755 1860 1872 1908 2015 2067 2106 2120 2160 2232 2340 2385 2418 2480 2511 2544 2756 2790 2808 2862 3120 3180 3224 3240 3286 3348 3445 3510 3627 3720 3816 4030 4134 4185 4212 4240 4293 4464 4680 4770 4836 4929 5022 5265 5512 5580 5616 5724 6045 6201 6360 6448 6480 6572 6696 6890 7020 7155 7254 7440 7632 8060 8215 8268 8370 8424 8586 9360 9540 9672 9858 10044 10335 10530 10881 11024 11160 11448 12090 12402 12555 12720 13144 13392 13780 14040 14310 14508 14787 16120 16430 16536 16740 16848 17172 18135 18603 19080 19344 19716 20088 20670 21060 21359 21465 21762 22320 22896 24180 24645 24804 25110 26288 27560 28080 28620 29016 29574 31005 32240 32643 32860 33072 33480 34344 36270 37206 38160 39432 40176 41340 42120 42718 42930 43524 44361 48360 49290 49608 50220 54405 55120 55809 57240 58032 59148 62010 64077 65286 65720 66960 68688 72540 73935 74412 78864 82680 84240 85436 85860 87048 88722 93015 96720 98580 99216 100440 106795 108810 111618 114480 118296 124020 128154 130572 131440 133083 145080 147870 148824 163215 165360 170872 171720 174096 177444 186030 192231 197160 200880 213590 217620 221805 223236 236592 248040 256308 261144 266166 279045 290160 295740 297648 320385 326430 341744 343440 354888 372060 384462 394320 427180 435240 443610 446472 496080 512616 522288 532332 558090 576693 591480 640770 652860 665415 709776 744120 768924 854360 870480 887220 892944 961155 1025232 1064664 1116180 1153386 1182960 1281540 1305720 1330830 1488240 1537848 1708720 1730079 1774440 1922310 2129328 2232360 2306772 2563080 2611440 2661660 2883465 3075696 3460158 3548880 3844620 4464720 4613544 5126160 5323320 5766930 6920316 7689240 8650395 9227088 10646640 11533860 13840632 15378480 17300790 23067720 27681264 34601580 46135440 69203160 138406320
- Sum of all divisors σ(n): 544465152
- Sum of proper divisors (its aliquot sum) s(n): 406058832
- 138406320 is an abundant number, because the sum of its proper divisors (406058832) is greater than itself. Its abundance is 267652512
Bases of 138406320
- Binary: 10000011111111101001101100002
- Hexadecimal: 0x83FE9B0
- Base-36: 2AEJ00
Squares and roots of 138406320
- 138406320 squared (1384063202) is 19156309415942400
- 138406320 cubed (1384063203) is 2651354291041936915968000
-
The
square root of 138406320 is 11764.6215408739 -
The
cube root of 138406320 is 517.2716068403
Scales and comparisons
How big is 138406320?- 138,406,320 seconds is equal to 4 years, 20 weeks, 5 days, 22 hours, 12 minutes.
-
To count from 1 to 138,406,320 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 138406320 cubic inches would be around 43.1 feet tall.
Recreational maths with 138406320
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