420345120
420,345,120 is an even composite number composed of seven prime numbers multiplied together.
420345120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 420345120:
25 × 3 × 5 × 13 × 31 × 41 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 31 × 41 × 53)See below for interesting mathematical facts about the number 420345120 from the Numbermatics database.
Names of 420345120
- Cardinal: 420345120 can be written as Four hundred twenty million, three hundred forty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.2034512 × 108
Factors of 420345120
Divisors of 420345120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 32 39 40 41 48 52 53 60 62 65 78 80 82 93 96 104 106 120 123 124 130 155 156 159 160 164 186 195 205 208 212 240 246 248 260 265 310 312 318 328 372 390 403 410 416 424 465 480 492 496 520 530 533 615 620 624 636 656 689 744 780 795 806 820 848 930 984 992 1040 1060 1066 1209 1230 1240 1248 1271 1272 1312 1378 1488 1560 1590 1599 1612 1640 1643 1696 1860 1968 2015 2067 2080 2120 2132 2173 2418 2460 2480 2542 2544 2665 2756 2976 3120 3180 3198 3224 3280 3286 3445 3720 3813 3936 4030 4134 4240 4264 4346 4836 4920 4929 4960 5084 5088 5330 5512 6045 6240 6355 6360 6396 6448 6519 6560 6572 6890 7440 7626 7995 8060 8215 8268 8480 8528 8692 9672 9840 9858 10168 10335 10660 10865 11024 12090 12710 12720 12792 12896 13038 13144 13780 14880 15252 15990 16120 16430 16523 16536 17056 17384 19065 19344 19680 19716 20336 20670 21320 21359 21730 22048 24180 24645 25420 25440 25584 26076 26288 27560 28249 30504 31980 32240 32595 32860 33046 33072 34768 38130 38688 39432 40672 41340 42640 42718 43460 48360 49290 49569 50840 51168 52152 52576 55120 56498 61008 63960 64077 64480 65190 65720 66092 66144 67363 69536 76260 78864 82615 82680 84747 85280 85436 86920 96720 98580 99138 101680 104304 106795 110240 112996 122016 127920 128154 130380 131440 132184 134726 141245 152520 157728 165230 165360 169494 170872 173840 193440 197160 198276 202089 203360 208608 213590 225992 247845 255840 256308 260760 262880 264368 269452 282490 305040 320385 330460 330720 336815 338988 341744 347680 394320 396552 404178 423735 427180 451984 495690 512616 521520 528736 538904 564980 610080 640770 660920 673630 677976 683488 788640 793104 808356 847470 854360 875719 903968 991380 1010445 1025232 1043040 1077808 1129960 1281540 1321840 1347260 1355952 1586208 1616712 1694940 1708720 1751438 1982760 2020890 2050464 2155616 2259920 2563080 2627157 2643680 2694520 2711904 3233424 3389880 3417440 3502876 3965520 4041780 4378595 4519840 5126160 5254314 5389040 6466848 6779760 7005752 7931040 8083560 8757190 10252320 10508628 10778080 13135785 13559520 14011504 16167120 17514380 21017256 26271570 28023008 32334240 35028760 42034512 52543140 70057520 84069024 105086280 140115040 210172560 420345120
- Sum of all divisors σ(n): 1536288768
- Sum of proper divisors (its aliquot sum) s(n): 1115943648
- 420345120 is an abundant number, because the sum of its proper divisors (1115943648) is greater than itself. Its abundance is 695598528
Bases of 420345120
- Binary: 110010000110111110101001000002
- Hexadecimal: 0x190DF520
- Base-36: 6Y9GDC
Squares and roots of 420345120
- 420345120 squared (4203451202) is 176690019907814400
- 420345120 cubed (4203451203) is 74270787620952632905728000
-
The
square root of 420345120 is 20502.3198687369 -
The
cube root of 420345120 is 749.0923063441
Scales and comparisons
How big is 420345120?- 420,345,120 seconds is equal to 13 years, 19 weeks, 2 hours, 32 minutes.
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To count from 1 to 420,345,120 would take you about twenty 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 420345120 cubic inches would be around 62.4 feet tall.
Recreational maths with 420345120
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