138006000
138,006,000 is an even composite number composed of six prime numbers multiplied together.
138006000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138006000:
24 × 32 × 53 × 11 × 17 × 41
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 17 × 41)See below for interesting mathematical facts about the number 138006000 from the Numbermatics database.
Names of 138006000
- Cardinal: 138006000 can be written as One hundred thirty-eight million, six thousand.
Scientific notation
- Scientific notation: 1.38006 × 108
Factors of 138006000
Divisors of 138006000
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 30 33 34 36 40 41 44 45 48 50 51 55 60 66 68 72 75 80 82 85 88 90 99 100 102 110 120 123 125 132 136 144 150 153 164 165 170 176 180 187 198 200 204 205 220 225 240 246 250 255 264 272 275 300 306 328 330 340 360 369 374 375 396 400 408 410 425 440 450 451 492 495 500 510 528 550 561 600 612 615 656 660 680 697 720 738 748 750 765 792 816 820 825 850 880 900 902 935 984 990 1000 1020 1025 1100 1122 1125 1200 1224 1230 1275 1320 1353 1360 1375 1394 1476 1496 1500 1530 1584 1640 1650 1683 1700 1800 1804 1845 1870 1968 1980 2000 2040 2050 2091 2125 2200 2244 2250 2255 2448 2460 2475 2550 2640 2706 2750 2788 2805 2952 2992 3000 3060 3075 3280 3300 3366 3400 3485 3600 3608 3690 3740 3825 3960 4059 4080 4100 4125 4182 4250 4400 4488 4500 4510 4675 4920 4950 5100 5125 5412 5500 5576 5610 5904 6000 6120 6150 6273 6375 6600 6732 6765 6800 6970 7216 7380 7480 7650 7667 7920 8118 8200 8250 8364 8415 8500 8976 9000 9020 9225 9350 9840 9900 10200 10250 10455 10824 11000 11152 11220 11275 12240 12300 12375 12546 12750 13200 13464 13530 13940 14025 14760 14960 15300 15334 15375 16236 16400 16500 16728 16830 17000 17425 18000 18040 18450 18700 19125 19800 20295 20400 20500 20910 21648 22000 22440 22550 23001 23375 24600 24750 25092 25500 26928 27060 27880 28050 29520 30600 30668 30750 31365 32472 33000 33456 33660 33825 34000 34850 36080 36900 37400 38250 38335 39600 40590 41000 41820 42075 44880 45100 46002 46125 46750 49200 49500 50184 51000 52275 54120 55760 56100 56375 61200 61336 61500 62730 64944 66000 67320 67650 69003 69700 70125 73800 74800 76500 76670 81180 82000 83640 84150 87125 90200 92004 92250 93500 99000 100368 101475 102000 104550 108240 112200 112750 115005 122672 123000 125460 134640 135300 138006 139400 140250 147600 153000 153340 156825 162360 167280 168300 169125 174250 180400 184008 184500 187000 191675 198000 202950 209100 210375 224400 225500 230010 246000 250920 261375 270600 276012 278800 280500 306000 306680 313650 324720 336600 338250 345015 348500 368016 369000 374000 383350 405900 418200 420750 451000 460020 501840 507375 522750 541200 552024 561000 575025 613360 627300 673200 676500 690030 697000 738000 766700 784125 811800 836400 841500 902000 920040 958375 1014750 1045500 1104048 1122000 1150050 1254600 1353000 1380060 1394000 1533400 1568250 1623600 1683000 1725075 1840080 1916750 2029500 2091000 2300100 2509200 2706000 2760120 2875125 3066800 3136500 3366000 3450150 3833500 4059000 4182000 4600200 5520240 5750250 6273000 6900300 7667000 8118000 8625375 9200400 11500500 12546000 13800600 15334000 17250750 23001000 27601200 34501500 46002000 69003000 138006000
- Sum of all divisors σ(n): 570338496
- Sum of proper divisors (its aliquot sum) s(n): 432332496
- 138006000 is an abundant number, because the sum of its proper divisors (432332496) is greater than itself. Its abundance is 294326496
Bases of 138006000
- Binary: 10000011100111001101111100002
- Hexadecimal: 0x839CDF0
- Base-36: 2A5Y40
Squares and roots of 138006000
- 138006000 squared (1380060002) is 19045656036000000
- 138006000 cubed (1380060003) is 2628414806904216000000000
-
The
square root of 138006000 is 11747.5954986541 -
The
cube root of 138006000 is 516.7724144745
Scales and comparisons
How big is 138006000?- 138,006,000 seconds is equal to 4 years, 20 weeks, 1 day, 7 hours.
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To count from 1 to 138,006,000 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 138006000 cubic inches would be around 43.1 feet tall.
Recreational maths with 138006000
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