138414000
138,414,000 is an even composite number composed of six prime numbers multiplied together.
138414000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138414000:
24 × 3 × 53 × 17 × 23 × 59
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 23 × 59)See below for interesting mathematical facts about the number 138414000 from the Numbermatics database.
Names of 138414000
- Cardinal: 138414000 can be written as One hundred thirty-eight million, four hundred fourteen thousand.
Scientific notation
- Scientific notation: 1.38414 × 108
Factors of 138414000
Divisors of 138414000
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 23 24 25 30 34 40 46 48 50 51 59 60 68 69 75 80 85 92 100 102 115 118 120 125 136 138 150 170 177 184 200 204 230 236 240 250 255 272 276 295 300 340 345 354 368 375 391 400 408 425 460 472 500 510 552 575 590 600 680 690 708 750 782 816 850 885 920 944 1000 1003 1020 1104 1150 1173 1180 1200 1275 1357 1360 1380 1416 1475 1500 1564 1700 1725 1770 1840 1955 2000 2006 2040 2125 2300 2346 2360 2550 2714 2760 2832 2875 2950 3000 3009 3128 3400 3450 3540 3910 4012 4071 4080 4250 4425 4600 4692 4720 5015 5100 5428 5520 5750 5865 5900 6000 6018 6256 6375 6785 6800 6900 7080 7375 7820 8024 8142 8500 8625 8850 9200 9384 9775 10030 10200 10856 11500 11730 11800 12036 12750 13570 13800 14160 14750 15045 15640 16048 16284 17000 17250 17700 18768 19550 20060 20355 20400 21712 22125 23000 23069 23460 23600 24072 25075 25500 27140 27600 29325 29500 30090 31280 32568 33925 34000 34500 35400 39100 40120 40710 44250 46000 46138 46920 48144 48875 50150 51000 54280 58650 59000 60180 65136 67850 69000 69207 70800 75225 78200 80240 81420 88500 92276 93840 97750 100300 101775 102000 108560 115345 117300 118000 120360 125375 135700 138000 138414 146625 150450 156400 162840 169625 177000 184552 195500 200600 203550 230690 234600 240720 250750 271400 276828 293250 300900 325680 339250 346035 354000 369104 376125 391000 401200 407100 461380 469200 501500 508875 542800 553656 576725 586500 601800 678500 692070 752250 782000 814200 922760 1003000 1017750 1107312 1153450 1173000 1203600 1357000 1384140 1504500 1628400 1730175 1845520 2006000 2035500 2306900 2346000 2714000 2768280 2883625 3009000 3460350 4071000 4613800 5536560 5767250 6018000 6920700 8142000 8650875 9227600 11534500 13841400 17301750 23069000 27682800 34603500 46138000 69207000 138414000
- Sum of all divisors σ(n): 501396480
- Sum of proper divisors (its aliquot sum) s(n): 362982480
- 138414000 is an abundant number, because the sum of its proper divisors (362982480) is greater than itself. Its abundance is 224568480
Bases of 138414000
- Binary: 10000100000000000111101100002
- Hexadecimal: 0x84007B0
- Base-36: 2AEOXC
Squares and roots of 138414000
- 138414000 squared (1384140002) is 19158435396000000
- 138414000 cubed (1384140003) is 2651795676901944000000000
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The
square root of 138414000 is 11764.9479386863 -
The
cube root of 138414000 is 517.2811742563
Scales and comparisons
How big is 138414000?- 138,414,000 seconds is equal to 4 years, 20 weeks, 6 days, 20 minutes.
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To count from 1 to 138,414,000 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 138414000 cubic inches would be around 43.1 feet tall.
Recreational maths with 138414000
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