42107520
42,107,520 is an even composite number composed of six prime numbers multiplied together.
42107520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 42107520:
27 × 3 × 5 × 7 × 13 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 241)See below for interesting mathematical facts about the number 42107520 from the Numbermatics database.
Names of 42107520
- Cardinal: 42107520 can be written as Forty-two million, one hundred seven thousand, five hundred twenty.
Scientific notation
- Scientific notation: 4.210752 × 107
Factors of 42107520
Divisors of 42107520
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 64 65 70 78 80 84 91 96 104 105 112 120 128 130 140 156 160 168 182 192 195 208 210 224 240 241 260 273 280 312 320 336 364 384 390 416 420 448 455 480 482 520 546 560 624 640 672 723 728 780 832 840 896 910 960 964 1040 1092 1120 1205 1248 1344 1365 1446 1456 1560 1664 1680 1687 1820 1920 1928 2080 2184 2240 2410 2496 2688 2730 2892 2912 3120 3133 3360 3374 3615 3640 3856 4160 4368 4480 4820 4992 5061 5460 5784 5824 6240 6266 6720 6748 7230 7280 7712 8320 8435 8736 9399 9640 10122 10920 11568 11648 12480 12532 13440 13496 14460 14560 15424 15665 16870 17472 18798 19280 20244 21840 21931 23136 24960 25064 25305 26992 28920 29120 30848 31330 33740 34944 37596 38560 40488 43680 43862 46272 46995 50128 50610 53984 57840 58240 62660 65793 67480 75192 77120 80976 87360 87724 92544 93990 100256 101220 107968 109655 115680 125320 131586 134960 150384 154240 161952 174720 175448 187980 200512 202440 215936 219310 231360 250640 263172 269920 300768 323904 328965 350896 375960 401024 404880 438620 462720 501280 526344 539840 601536 647808 657930 701792 751920 809760 877240 1002560 1052688 1079680 1203072 1315860 1403584 1503840 1619520 1754480 2005120 2105376 2631720 2807168 3007680 3239040 3508960 4210752 5263440 6015360 7017920 8421504 10526880 14035840 21053760 42107520
- Sum of all divisors σ(n): 165876480
- Sum of proper divisors (its aliquot sum) s(n): 123768960
- 42107520 is an abundant number, because the sum of its proper divisors (123768960) is greater than itself. Its abundance is 81661440
Bases of 42107520
- Binary: 101000001010000010100000002
- Hexadecimal: 0x2828280
- Base-36: P2IDC
Squares and roots of 42107520
- 42107520 squared (421075202) is 1773043240550400
- 42107520 cubed (421075203) is 74658453712340779008000
-
The
square root of 42107520 is 6489.0307442639 -
The
cube root of 42107520 is 347.8990326719
Scales and comparisons
How big is 42107520?- 42,107,520 seconds is equal to 1 year, 17 weeks, 4 days, 8 hours, 32 minutes.
-
To count from 1 to 42,107,520 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 42107520 cubic inches would be around 29 feet tall.
Recreational maths with 42107520
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