138988080
138,988,080 is an even composite number composed of seven prime numbers multiplied together.
138988080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138988080:
24 × 32 × 5 × 7 × 11 × 23 × 109
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 23 × 109)See below for interesting mathematical facts about the number 138988080 from the Numbermatics database.
Names of 138988080
- Cardinal: 138988080 can be written as One hundred thirty-eight million, nine hundred eighty-eight thousand and eighty.
Scientific notation
- Scientific notation: 1.3898808 × 108
Factors of 138988080
Divisors of 138988080
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 23 24 28 30 33 35 36 40 42 44 45 46 48 55 56 60 63 66 69 70 72 77 80 84 88 90 92 99 105 109 110 112 115 120 126 132 138 140 144 154 161 165 168 176 180 184 198 207 210 218 220 230 231 240 252 253 264 276 280 308 315 322 327 330 336 345 360 368 385 396 414 420 436 440 460 462 483 495 504 506 528 545 552 560 616 630 644 654 660 690 693 720 759 763 770 792 805 828 840 872 880 920 924 966 981 990 1008 1012 1035 1090 1104 1155 1199 1232 1260 1265 1288 1308 1320 1380 1386 1449 1518 1526 1540 1584 1610 1635 1656 1680 1744 1771 1840 1848 1932 1962 1980 2024 2070 2180 2277 2289 2310 2398 2415 2507 2520 2530 2576 2616 2640 2760 2772 2898 3036 3052 3080 3220 3270 3312 3465 3542 3597 3696 3795 3815 3864 3924 3960 4048 4140 4360 4554 4578 4620 4796 4830 4905 5014 5040 5060 5232 5313 5520 5544 5796 5995 6072 6104 6160 6440 6540 6867 6930 7084 7194 7245 7521 7590 7630 7728 7848 7920 8280 8393 8720 8855 9108 9156 9240 9592 9660 9810 10028 10120 10626 10791 11088 11385 11445 11592 11990 12144 12208 12535 12880 13080 13734 13860 14168 14388 14490 15042 15180 15260 15696 15939 16560 16786 17549 17710 17985 18216 18312 18480 19184 19320 19620 20056 20240 21252 21582 22563 22770 22890 23184 23980 25070 25179 26160 26565 27468 27577 27720 28336 28776 28980 30084 30360 30520 31878 33572 34335 35098 35420 35970 36432 36624 37605 38640 39240 40112 41965 42504 43164 45126 45540 45780 47960 50140 50358 52647 53130 53955 54936 55154 55440 57552 57960 60168 60720 61040 63756 67144 68670 70196 70840 71940 75210 75537 78480 79695 82731 83930 85008 86328 87745 90252 91080 91560 95920 100280 100716 105294 106260 107910 109872 110308 112815 115920 120336 125895 127512 134288 137340 137885 140392 141680 143880 150420 151074 157941 159390 165462 167860 172656 175490 180504 182160 183120 193039 200560 201432 210588 212520 215820 220616 225630 248193 251790 255024 263235 274680 275770 280784 287760 300840 302148 315882 318780 330924 335720 350980 361008 377685 386078 402864 413655 421176 425040 431640 441232 451260 496386 503580 526470 549360 551540 579117 601680 604296 631764 637560 661848 671440 701960 755370 772156 789705 827310 842352 863280 902520 965195 992772 1007160 1052940 1103080 1158234 1208592 1240965 1263528 1275120 1323696 1403920 1510740 1544312 1579410 1654620 1737351 1805040 1930390 1985544 2014320 2105880 2206160 2316468 2481930 2527056 2895585 3021480 3088624 3158820 3309240 3474702 3860780 3971088 4211760 4632936 4963860 5791170 6042960 6317640 6618480 6949404 7721560 8686755 9265872 9927720 11582340 12635280 13898808 15443120 17373510 19855440 23164680 27797616 34747020 46329360 69494040 138988080
- Sum of all divisors σ(n): 612817920
- Sum of proper divisors (its aliquot sum) s(n): 473829840
- 138988080 is an abundant number, because the sum of its proper divisors (473829840) is greater than itself. Its abundance is 334841760
Bases of 138988080
- Binary: 10000100100011001010001100002
- Hexadecimal: 0x848CA30
- Base-36: 2AQZW0
Squares and roots of 138988080
- 138988080 squared (1389880802) is 19317686382086400
- 138988080 cubed (1389880803) is 2684928140288335130112000
-
The
square root of 138988080 is 11789.3205911113 -
The
cube root of 138988080 is 517.9953389263
Scales and comparisons
How big is 138988080?- 138,988,080 seconds is equal to 4 years, 21 weeks, 5 days, 15 hours, 48 minutes.
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To count from 1 to 138,988,080 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 138988080 cubic inches would be around 43.2 feet tall.
Recreational maths with 138988080
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