413981120
413,981,120 is an even composite number composed of six prime numbers multiplied together.
413981120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 413981120:
26 × 5 × 7 × 19 × 71 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 19 × 71 × 137)See below for interesting mathematical facts about the number 413981120 from the Numbermatics database.
Names of 413981120
- Cardinal: 413981120 can be written as Four hundred thirteen million, nine hundred eighty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.1398112 × 108
Factors of 413981120
Divisors of 413981120
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 71 76 80 95 112 133 137 140 142 152 160 190 224 266 274 280 284 304 320 355 380 448 497 532 548 560 568 608 665 685 710 760 959 994 1064 1096 1120 1136 1216 1330 1349 1370 1420 1520 1918 1988 2128 2192 2240 2272 2485 2603 2660 2698 2740 2840 3040 3836 3976 4256 4384 4544 4795 4970 5206 5320 5396 5480 5680 6080 6745 7672 7952 8512 8768 9443 9590 9727 9940 10412 10640 10792 10960 11360 13015 13490 15344 15904 18221 18886 19180 19454 19880 20824 21280 21584 21920 22720 26030 26980 30688 31808 36442 37772 38360 38908 39760 41648 42560 43168 43840 47215 48635 52060 53960 61376 68089 72884 75544 76720 77816 79520 83296 86336 91105 94430 97270 104120 107920 136178 145768 151088 153440 155632 159040 166592 182210 184813 188860 194540 208240 215840 272356 291536 302176 306880 311264 340445 364420 369626 377720 389080 416480 431680 544712 583072 604352 622528 680890 728840 739252 755440 778160 832960 924065 1089424 1166144 1293691 1361780 1457680 1478504 1510880 1556320 1848130 2178848 2587382 2723560 2915360 2957008 3021760 3112640 3696260 4357696 5174764 5447120 5830720 5914016 6468455 7392520 10349528 10894240 11828032 12936910 14785040 20699056 21788480 25873820 29570080 41398112 51747640 59140160 82796224 103495280 206990560 413981120
- Sum of all divisors σ(n): 1211397120
- Sum of proper divisors (its aliquot sum) s(n): 797416000
- 413981120 is an abundant number, because the sum of its proper divisors (797416000) is greater than itself. Its abundance is 383434880
Bases of 413981120
- Binary: 110001010110011011001110000002
- Hexadecimal: 0x18ACD9C0
- Base-36: 6UH1VK
Squares and roots of 413981120
- 413981120 squared (4139811202) is 171380367716454400
- 413981120 cubed (4139811203) is 70948236573269634940928000
-
The
square root of 413981120 is 20346.5259933975 -
The
cube root of 413981120 is 745.2926616191
Scales and comparisons
How big is 413981120?- 413,981,120 seconds is equal to 13 years, 8 weeks, 3 days, 10 hours, 45 minutes, 20 seconds.
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To count from 1 to 413,981,120 would take you about nineteen 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 413981120 cubic inches would be around 62.1 feet tall.
Recreational maths with 413981120
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