242484480
242,484,480 is an even composite number composed of six prime numbers multiplied together.
242484480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 242484480:
28 × 32 × 5 × 7 × 31 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 31 × 97)See below for interesting mathematical facts about the number 242484480 from the Numbermatics database.
Names of 242484480
- Cardinal: 242484480 can be written as Two hundred forty-two million, four hundred eighty-four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 2.4248448 × 108
Factors of 242484480
Divisors of 242484480
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 31 32 35 36 40 42 45 48 56 60 62 63 64 70 72 80 84 90 93 96 97 105 112 120 124 126 128 140 144 155 160 168 180 186 192 194 210 217 224 240 248 252 256 279 280 288 291 310 315 320 336 360 372 384 388 420 434 448 465 480 485 496 504 558 560 576 582 620 630 640 651 672 679 720 744 768 776 840 868 873 896 930 960 970 992 1008 1085 1116 1120 1152 1164 1240 1260 1280 1302 1344 1358 1395 1440 1455 1488 1552 1680 1736 1746 1792 1860 1920 1940 1953 1984 2016 2037 2170 2232 2240 2304 2328 2480 2520 2604 2688 2716 2790 2880 2910 2976 3007 3104 3255 3360 3395 3472 3492 3720 3840 3880 3906 3968 4032 4074 4340 4365 4464 4480 4656 4960 5040 5208 5376 5432 5580 5760 5820 5952 6014 6111 6208 6510 6720 6790 6944 6984 7440 7760 7812 7936 8064 8148 8680 8730 8928 8960 9021 9312 9765 9920 10080 10185 10416 10864 11160 11520 11640 11904 12028 12222 12416 13020 13440 13580 13888 13968 14880 15035 15520 15624 16128 16296 17360 17460 17856 18042 18624 19530 19840 20160 20370 20832 21049 21728 22320 23280 23808 24056 24444 24832 26040 26880 27063 27160 27776 27936 29760 30070 30555 31040 31248 32592 34720 34920 35712 36084 37248 39060 39680 40320 40740 41664 42098 43456 44640 45105 46560 48112 48888 52080 54126 54320 55552 55872 59520 60140 61110 62080 62496 63147 65184 69440 69840 71424 72168 74496 78120 80640 81480 83328 84196 86912 89280 90210 93120 96224 97776 104160 105245 108252 108640 111744 119040 120280 122220 124160 124992 126294 130368 135315 138880 139680 144336 156240 162960 166656 168392 173824 178560 180420 186240 189441 192448 195552 208320 210490 216504 217280 223488 240560 244440 249984 252588 260736 270630 277760 279360 288672 312480 315735 325920 336784 357120 360840 372480 378882 384896 391104 416640 420980 433008 434560 481120 488880 499968 505176 521472 541260 558720 577344 624960 631470 651840 673568 721680 757764 769792 782208 833280 841960 866016 869120 947205 962240 977760 1010352 1082520 1117440 1154688 1249920 1262940 1303680 1347136 1443360 1515528 1564416 1683920 1732032 1894410 1924480 1955520 2020704 2165040 2309376 2499840 2525880 2607360 2694272 2886720 3031056 3367840 3464064 3788820 3848960 3911040 4041408 4330080 5051760 5388544 5773440 6062112 6735680 6928128 7577640 7822080 8082816 8660160 10103520 11546880 12124224 13471360 15155280 16165632 17320320 20207040 24248448 26942720 30310560 34640640 40414080 48496896 60621120 80828160 121242240 242484480
- Sum of all divisors σ(n): 999957504
- Sum of proper divisors (its aliquot sum) s(n): 757473024
- 242484480 is an abundant number, because the sum of its proper divisors (757473024) is greater than itself. Its abundance is 514988544
Bases of 242484480
- Binary: 11100111010000000101000000002
- Hexadecimal: 0xE740500
- Base-36: 40DA80
Squares and roots of 242484480
- 242484480 squared (2424844802) is 58798723040870400
- 242484480 cubed (2424844803) is 14257777781229477691392000
-
The
square root of 242484480 is 15571.9131772561 -
The
cube root of 242484480 is 623.5835485563
Scales and comparisons
How big is 242484480?- 242,484,480 seconds is equal to 7 years, 36 weeks, 6 days, 12 hours, 48 minutes.
-
To count from 1 to 242,484,480 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 242484480 cubic inches would be around 52 feet tall.
Recreational maths with 242484480
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