45382680
45,382,680 is an even composite number composed of six prime numbers multiplied together.
45382680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 45382680:
23 × 35 × 5 × 7 × 23 × 29
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 23 × 29)See below for interesting mathematical facts about the number 45382680 from the Numbermatics database.
Names of 45382680
- Cardinal: 45382680 can be written as Forty-five million, three hundred eighty-two thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.538268 × 107
Factors of 45382680
Divisors of 45382680
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 23 24 27 28 29 30 35 36 40 42 45 46 54 56 58 60 63 69 70 72 81 84 87 90 92 105 108 115 116 120 126 135 138 140 145 161 162 168 174 180 184 189 203 207 210 216 230 232 243 252 261 270 276 280 290 315 322 324 345 348 360 378 405 406 414 420 435 460 483 486 504 522 540 552 567 580 609 621 630 644 648 667 690 696 756 783 805 810 812 828 840 870 920 945 966 972 1015 1035 1044 1080 1134 1160 1215 1218 1242 1260 1288 1305 1334 1380 1449 1512 1566 1610 1620 1624 1656 1701 1740 1827 1863 1890 1932 1944 2001 2030 2070 2088 2268 2349 2415 2430 2436 2484 2520 2610 2668 2760 2835 2898 3045 3105 3132 3220 3240 3335 3402 3480 3654 3726 3780 3864 3915 4002 4060 4140 4347 4536 4669 4698 4830 4860 4872 4968 5220 5336 5481 5589 5670 5796 6003 6090 6210 6264 6440 6670 6804 7047 7245 7308 7452 7560 7830 8004 8120 8280 8505 8694 9135 9315 9338 9396 9660 9720 10005 10440 10962 11178 11340 11592 11745 12006 12180 12420 13041 13340 13608 14007 14094 14490 14616 14904 15660 16008 16443 17010 17388 18009 18270 18630 18676 18792 19320 20010 21735 21924 22356 22680 23345 23490 24012 24360 24840 26082 26680 27405 27945 28014 28188 28980 30015 31320 32886 34020 34776 35235 36018 36540 37260 37352 39123 40020 42021 43470 43848 44712 46690 46980 48024 49329 52164 54027 54810 55890 56028 56376 57960 60030 65205 65772 68040 70035 70470 72036 73080 74520 78246 80040 82215 84042 86940 90045 93380 93960 98658 104328 108054 109620 111780 112056 120060 126063 130410 131544 140070 140940 144072 156492 162081 164430 168084 173880 180090 186760 195615 197316 210105 216108 219240 223560 240120 246645 252126 260820 270135 280140 281880 312984 324162 328860 336168 360180 378189 391230 394632 420210 432216 493290 504252 521640 540270 560280 630315 648324 657720 720360 756378 782460 810405 840420 986580 1008504 1080540 1134567 1260630 1296648 1512756 1564920 1620810 1680840 1890945 1973160 2161080 2269134 2521260 3025512 3241620 3781890 4538268 5042520 5672835 6483240 7563780 9076536 11345670 15127560 22691340 45382680
- Sum of all divisors σ(n): 188697600
- Sum of proper divisors (its aliquot sum) s(n): 143314920
- 45382680 is an abundant number, because the sum of its proper divisors (143314920) is greater than itself. Its abundance is 97932240
Bases of 45382680
- Binary: 101011010001111100000110002
- Hexadecimal: 0x2B47C18
- Base-36: R0PI0
Squares and roots of 45382680
- 45382680 squared (453826802) is 2059587643982400
- 45382680 cubed (453826803) is 93469606978807184832000
-
The
square root of 45382680 is 6736.6668316015 -
The
cube root of 45382680 is 356.6947464815
Scales and comparisons
How big is 45382680?- 45,382,680 seconds is equal to 1 year, 23 weeks, 6 hours, 18 minutes.
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To count from 1 to 45,382,680 would take you about two 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 45382680 cubic inches would be around 29.7 feet tall.
Recreational maths with 45382680
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