138826080
138,826,080 is an even composite number composed of six prime numbers multiplied together.
138826080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138826080:
25 × 32 × 5 × 17 × 53 × 107
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 53 × 107)See below for interesting mathematical facts about the number 138826080 from the Numbermatics database.
Names of 138826080
- Cardinal: 138826080 can be written as One hundred thirty-eight million, eight hundred twenty-six thousand and eighty.
Scientific notation
- Scientific notation: 1.3882608 × 108
Factors of 138826080
Divisors of 138826080
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 53 60 68 72 80 85 90 96 102 106 107 120 136 144 153 159 160 170 180 204 212 214 240 255 265 272 288 306 318 321 340 360 408 424 428 477 480 510 530 535 544 612 636 642 680 720 765 795 816 848 856 901 954 963 1020 1060 1070 1224 1272 1284 1360 1440 1530 1590 1605 1632 1696 1712 1802 1819 1908 1926 2040 2120 2140 2385 2448 2544 2568 2703 2720 3060 3180 3210 3424 3604 3638 3816 3852 4080 4240 4280 4505 4770 4815 4896 5088 5136 5406 5457 5671 6120 6360 6420 7208 7276 7632 7704 8109 8160 8480 8560 9010 9095 9540 9630 10272 10812 10914 11342 12240 12720 12840 13515 14416 14552 15264 15408 16218 16371 17013 17120 18020 18190 19080 19260 21624 21828 22684 24480 25440 25680 27030 27285 28355 28832 29104 30816 32436 32742 34026 36040 36380 38160 38520 40545 43248 43656 45368 51039 51360 54060 54570 56710 58208 64872 65484 68052 72080 72760 76320 77040 81090 81855 85065 86496 87312 90736 96407 102078 108120 109140 113420 129744 130968 136104 144160 145520 154080 162180 163710 170130 174624 181472 192814 204156 216240 218280 226840 255195 259488 261936 272208 289221 291040 324360 327420 340260 385628 408312 432480 436560 453680 482035 510390 523872 544416 578442 648720 654840 680520 771256 816624 867663 873120 907360 964070 1020780 1156884 1297440 1309680 1361040 1446105 1542512 1633248 1735326 1928140 2041560 2313768 2619360 2722080 2892210 3085024 3470652 3856280 4083120 4338315 4627536 5784420 6941304 7712560 8166240 8676630 9255072 11568840 13882608 15425120 17353260 23137680 27765216 34706520 46275360 69413040 138826080
- Sum of all divisors σ(n): 515852064
- Sum of proper divisors (its aliquot sum) s(n): 377025984
- 138826080 is an abundant number, because the sum of its proper divisors (377025984) is greater than itself. Its abundance is 238199904
Bases of 138826080
- Binary: 10000100011001010001011000002
- Hexadecimal: 0x8465160
- Base-36: 2ANIW0
Squares and roots of 138826080
- 138826080 squared (1388260802) is 19272680488166400
- 138826080 cubed (1388260803) is 2675550683264627699712000
-
The
square root of 138826080 is 11782.4479629659 -
The
cube root of 138826080 is 517.7940078267
Scales and comparisons
How big is 138826080?- 138,826,080 seconds is equal to 4 years, 21 weeks, 3 days, 18 hours, 48 minutes.
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To count from 1 to 138,826,080 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 138826080 cubic inches would be around 43.1 feet tall.
Recreational maths with 138826080
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