642137400
642,137,400 is an even composite number composed of five prime numbers multiplied together.
642137400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 642137400:
23 × 32 × 52 × 532 × 127
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 53 × 53 × 127)See below for interesting mathematical facts about the number 642137400 from the Numbermatics database.
Names of 642137400
- Cardinal: 642137400 can be written as Six hundred forty-two million, one hundred thirty-seven thousand, four hundred.
Scientific notation
- Scientific notation: 6.421374 × 108
Factors of 642137400
Divisors of 642137400
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 53 60 72 75 90 100 106 120 127 150 159 180 200 212 225 254 265 300 318 360 381 424 450 477 508 530 600 635 636 762 795 900 954 1016 1060 1143 1270 1272 1325 1524 1590 1800 1905 1908 2120 2286 2385 2540 2650 2809 3048 3175 3180 3810 3816 3975 4572 4770 5080 5300 5618 5715 6350 6360 6731 7620 7950 8427 9144 9525 9540 10600 11236 11430 11925 12700 13462 14045 15240 15900 16854 19050 19080 20193 22472 22860 23850 25281 25400 26924 28090 28575 31800 33655 33708 38100 40386 42135 45720 47700 50562 53848 56180 57150 60579 67310 67416 70225 76200 80772 84270 95400 100965 101124 112360 114300 121158 126405 134620 140450 161544 168275 168540 201930 202248 210675 228600 242316 252810 269240 280900 302895 336550 337080 356743 403860 421350 484632 504825 505620 561800 605790 632025 673100 713486 807720 842700 1009650 1011240 1070229 1211580 1264050 1346200 1426972 1514475 1685400 1783715 2019300 2140458 2423160 2528100 2853944 3028950 3210687 3567430 4038600 4280916 5056200 5351145 6057900 6421374 7134860 8561832 8918575 10702290 12115800 12842748 14269720 16053435 17837150 21404580 25685496 26755725 32106870 35674300 42809160 53511450 64213740 71348600 80267175 107022900 128427480 160534350 214045800 321068700 642137400
- Sum of all divisors σ(n): 2215274880
- Sum of proper divisors (its aliquot sum) s(n): 1573137480
- 642137400 is an abundant number, because the sum of its proper divisors (1573137480) is greater than itself. Its abundance is 931000080
Bases of 642137400
- Binary: 1001100100011000111101001110002
- Hexadecimal: 0x26463D38
- Base-36: AMB8E0
Squares and roots of 642137400
- 642137400 squared (6421374002) is 412340440478760000
- 642137400 cubed (6421374003) is 264779218363885701624000000
-
The
square root of 642137400 is 25340.4301463097 -
The
cube root of 642137400 is 862.7321618253
Scales and comparisons
How big is 642137400?- 642,137,400 seconds is equal to 20 years, 21 weeks, 5 days, 3 hours, 30 minutes.
-
To count from 1 to 642,137,400 would take you about thirty 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 642137400 cubic inches would be around 71.9 feet tall.
Recreational maths with 642137400
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