242144640
242,144,640 is an even composite number composed of four prime numbers multiplied together.
242144640 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 242144640:
27 × 37 × 5 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 173)See below for interesting mathematical facts about the number 242144640 from the Numbermatics database.
Names of 242144640
- Cardinal: 242144640 can be written as Two hundred forty-two million, one hundred forty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 2.4214464 × 108
Factors of 242144640
Divisors of 242144640
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 173 180 192 216 240 243 270 288 320 324 346 360 384 405 432 480 486 519 540 576 640 648 692 720 729 810 864 865 960 972 1038 1080 1152 1215 1296 1384 1440 1458 1557 1620 1728 1730 1920 1944 2076 2160 2187 2430 2592 2595 2768 2880 2916 3114 3240 3456 3460 3645 3888 4152 4320 4374 4671 4860 5184 5190 5536 5760 5832 6228 6480 6920 7290 7776 7785 8304 8640 8748 9342 9720 10368 10380 10935 11072 11664 12456 12960 13840 14013 14580 15552 15570 16608 17280 17496 18684 19440 20760 21870 22144 23328 23355 24912 25920 27680 28026 29160 31104 31140 33216 34992 37368 38880 41520 42039 43740 46656 46710 49824 51840 55360 56052 58320 62280 66432 69984 70065 74736 77760 83040 84078 87480 93312 93420 99648 110720 112104 116640 124560 126117 139968 140130 149472 155520 166080 168156 174960 186840 199296 210195 224208 233280 249120 252234 279936 280260 298944 332160 336312 349920 373680 378351 420390 448416 466560 498240 504468 560520 597888 630585 672624 699840 747360 756702 840780 896832 996480 1008936 1121040 1261170 1345248 1399680 1494720 1513404 1681560 1793664 1891755 2017872 2242080 2522340 2690496 2989440 3026808 3363120 3783510 4035744 4484160 5044680 5380992 6053616 6726240 7567020 8071488 8968320 10089360 12107232 13452480 15134040 16142976 20178720 24214464 26904960 30268080 40357440 48428928 60536160 80714880 121072320 242144640
- Sum of all divisors σ(n): 873201600
- Sum of proper divisors (its aliquot sum) s(n): 631056960
- 242144640 is an abundant number, because the sum of its proper divisors (631056960) is greater than itself. Its abundance is 388912320
Bases of 242144640
- Binary: 11100110111011010101100000002
- Hexadecimal: 0xE6ED580
- Base-36: 406000
Squares and roots of 242144640
- 242144640 squared (2421446402) is 58634026680729600
- 242144640 cubed (2421446403) is 14197915282355663929344000
-
The
square root of 242144640 is 15560.9973973393 -
The
cube root of 242144640 is 623.2920966235
Scales and comparisons
How big is 242144640?- 242,144,640 seconds is equal to 7 years, 36 weeks, 2 days, 14 hours, 24 minutes.
-
To count from 1 to 242,144,640 would take you about eleven 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 242144640 cubic inches would be around 51.9 feet tall.
Recreational maths with 242144640
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