42108640
42,108,640 is an even composite number composed of five prime numbers multiplied together.
42108640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 42108640:
25 × 5 × 72 × 41 × 131
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 41 × 131)See below for interesting mathematical facts about the number 42108640 from the Numbermatics database.
Names of 42108640
- Cardinal: 42108640 can be written as Forty-two million, one hundred eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.210864 × 107
Factors of 42108640
Divisors of 42108640
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 49 56 70 80 82 98 112 131 140 160 164 196 205 224 245 262 280 287 328 392 410 490 524 560 574 655 656 784 820 917 980 1048 1120 1148 1310 1312 1435 1568 1640 1834 1960 2009 2096 2296 2620 2870 3280 3668 3920 4018 4192 4585 4592 5240 5371 5740 6419 6560 7336 7840 8036 9170 9184 10045 10480 10742 11480 12838 14672 16072 18340 20090 20960 21484 22960 25676 26855 29344 32095 32144 36680 37597 40180 42968 45920 51352 53710 64190 64288 73360 75194 80360 85936 102704 107420 128380 146720 150388 160720 171872 187985 205408 214840 256760 263179 300776 321440 375970 429680 513520 526358 601552 751940 859360 1027040 1052716 1203104 1315895 1503880 2105432 2631790 3007760 4210864 5263580 6015520 8421728 10527160 21054320 42108640
- Sum of all divisors σ(n): 119451024
- Sum of proper divisors (its aliquot sum) s(n): 77342384
- 42108640 is an abundant number, because the sum of its proper divisors (77342384) is greater than itself. Its abundance is 35233744
Bases of 42108640
- Binary: 101000001010000110111000002
- Hexadecimal: 0x28286E0
- Base-36: P2J8G
Squares and roots of 42108640
- 42108640 squared (421086402) is 1773137562649600
- 42108640 cubed (421086403) is 74664411296089452544000
-
The
square root of 42108640 is 6489.1170431731 -
The
cube root of 42108640 is 347.9021171839
Scales and comparisons
How big is 42108640?- 42,108,640 seconds is equal to 1 year, 17 weeks, 4 days, 8 hours, 50 minutes, 40 seconds.
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To count from 1 to 42,108,640 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 42108640 cubic inches would be around 29 feet tall.
Recreational maths with 42108640
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