137982000
137,982,000 is an even composite number composed of six prime numbers multiplied together.
137982000 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 137982000:
24 × 3 × 53 × 13 × 29 × 61
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 29 × 61)See below for interesting mathematical facts about the number 137982000 from the Numbermatics database.
Names of 137982000
- Cardinal: 137982000 can be written as One hundred thirty-seven million, nine hundred eighty-two thousand.
Scientific notation
- Scientific notation: 1.37982 × 108
Factors of 137982000
Divisors of 137982000
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 29 30 39 40 48 50 52 58 60 61 65 75 78 80 87 100 104 116 120 122 125 130 145 150 156 174 183 195 200 208 232 240 244 250 260 290 300 305 312 325 348 366 375 377 390 400 435 464 488 500 520 580 600 610 624 650 696 725 732 750 754 780 793 870 915 975 976 1000 1040 1131 1160 1200 1220 1300 1392 1450 1464 1500 1508 1525 1560 1586 1625 1740 1769 1830 1885 1950 2000 2175 2262 2320 2379 2440 2600 2900 2928 3000 3016 3050 3120 3172 3250 3480 3538 3625 3660 3770 3900 3965 4350 4524 4575 4758 4875 4880 5200 5307 5655 5800 6000 6032 6100 6344 6500 6960 7076 7250 7320 7540 7625 7800 7930 8700 8845 9048 9150 9425 9516 9750 10614 10875 11310 11600 11895 12200 12688 13000 14152 14500 14640 15080 15250 15600 15860 17400 17690 18096 18300 18850 19032 19500 19825 21228 21750 22620 22875 22997 23790 24400 26000 26535 28275 28304 29000 30160 30500 31720 34800 35380 36600 37700 38064 39000 39650 42456 43500 44225 45240 45750 45994 47125 47580 53070 56550 58000 59475 61000 63440 68991 70760 73200 75400 78000 79300 84912 87000 88450 90480 91500 91988 94250 95160 99125 106140 113100 114985 118950 122000 132675 137982 141375 141520 150800 158600 174000 176900 183000 183976 188500 190320 198250 212280 221125 226200 229970 237900 265350 275964 282750 297375 317200 344955 353800 366000 367952 377000 396500 424560 442250 452400 459940 475800 530700 551928 565500 574925 594750 663375 689910 707600 754000 793000 884500 919880 951600 1061400 1103856 1131000 1149850 1189500 1326750 1379820 1586000 1724775 1769000 1839760 2122800 2262000 2299700 2379000 2653500 2759640 2874625 3449550 3538000 4599400 4758000 5307000 5519280 5749250 6899100 8623875 9198800 10614000 11498500 13798200 17247750 22997000 27596400 34495500 45994000 68991000 137982000
- Sum of all divisors σ(n): 503717760
- Sum of proper divisors (its aliquot sum) s(n): 365735760
- 137982000 is an abundant number, because the sum of its proper divisors (365735760) is greater than itself. Its abundance is 227753760
Bases of 137982000
- Binary: 10000011100101110000001100002
- Hexadecimal: 0x8397030
- Base-36: 2A5FLC
Squares and roots of 137982000
- 137982000 squared (1379820002) is 19039032324000000
- 137982000 cubed (1379820003) is 2627043758130168000000000
-
The
square root of 137982000 is 11746.5739686089 -
The
cube root of 137982000 is 516.7424562191
Scales and comparisons
How big is 137982000?- 137,982,000 seconds is equal to 4 years, 20 weeks, 1 day, 20 minutes.
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To count from 1 to 137,982,000 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 137982000 cubic inches would be around 43.1 feet tall.
Recreational maths with 137982000
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