42049920
42,049,920 is an even composite number composed of five prime numbers multiplied together.
42049920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 42049920:
27 × 3 × 5 × 112 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 181)See below for interesting mathematical facts about the number 42049920 from the Numbermatics database.
Names of 42049920
- Cardinal: 42049920 can be written as Forty-two million, forty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.204992 × 107
Factors of 42049920
Divisors of 42049920
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 121 128 132 160 165 176 181 192 220 240 242 264 320 330 352 362 363 384 440 480 484 528 543 605 640 660 704 724 726 880 905 960 968 1056 1086 1210 1320 1408 1448 1452 1760 1810 1815 1920 1936 1991 2112 2172 2420 2640 2715 2896 2904 3520 3620 3630 3872 3982 4224 4344 4840 5280 5430 5792 5808 5973 7040 7240 7260 7744 7964 8688 9680 9955 10560 10860 11584 11616 11946 14480 14520 15488 15928 17376 19360 19910 21120 21720 21901 23168 23232 23892 28960 29040 29865 31856 34752 38720 39820 43440 43802 46464 47784 57920 58080 59730 63712 65703 69504 77440 79640 86880 87604 95568 109505 115840 116160 119460 127424 131406 159280 173760 175208 191136 219010 232320 238920 254848 262812 318560 328515 347520 350416 382272 438020 477840 525624 637120 657030 700832 764544 876040 955680 1051248 1274240 1314060 1401664 1752080 1911360 2102496 2628120 2803328 3504160 3822720 4204992 5256240 7008320 8409984 10512480 14016640 21024960 42049920
- Sum of all divisors σ(n): 148140720
- Sum of proper divisors (its aliquot sum) s(n): 106090800
- 42049920 is an abundant number, because the sum of its proper divisors (106090800) is greater than itself. Its abundance is 64040880
Bases of 42049920
- Binary: 101000000110100001100000002
- Hexadecimal: 0x281A180
- Base-36: P19XC
Squares and roots of 42049920
- 42049920 squared (420499202) is 1768195772006400
- 42049920 cubed (420499203) is 74352490757207359488000
-
The
square root of 42049920 is 6484.5909662831 -
The
cube root of 42049920 is 347.7403268279
Scales and comparisons
How big is 42049920?- 42,049,920 seconds is equal to 1 year, 17 weeks, 3 days, 16 hours, 32 minutes.
-
To count from 1 to 42,049,920 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 42049920 cubic inches would be around 29 feet tall.
Recreational maths with 42049920
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