242285472
242,285,472 is an even composite number composed of six prime numbers multiplied together.
242285472 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 242285472:
25 × 33 × 11 × 13 × 37 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 37 × 53)See below for interesting mathematical facts about the number 242285472 from the Numbermatics database.
Names of 242285472
- Cardinal: 242285472 can be written as Two hundred forty-two million, two hundred eighty-five thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 2.42285472 × 108
Factors of 242285472
Divisors of 242285472
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 37 39 44 48 52 53 54 66 72 74 78 88 96 99 104 106 108 111 117 132 143 144 148 156 159 176 198 208 212 216 222 234 264 286 288 296 297 312 318 333 351 352 396 407 416 424 429 432 444 468 477 481 528 572 583 592 594 624 636 666 689 702 792 814 848 858 864 888 936 954 962 999 1056 1144 1166 1184 1188 1221 1248 1272 1287 1332 1378 1404 1431 1443 1584 1628 1696 1716 1749 1776 1872 1908 1924 1961 1998 2067 2288 2332 2376 2442 2544 2574 2664 2756 2808 2862 2886 3168 3256 3432 3498 3552 3663 3744 3816 3848 3861 3922 3996 4134 4329 4576 4664 4752 4884 5088 5148 5247 5291 5328 5512 5616 5724 5772 5883 6201 6512 6864 6996 7326 7579 7632 7696 7722 7844 7992 8268 8658 9328 9504 9768 10296 10494 10582 10656 10989 11024 11232 11448 11544 11766 12402 12987 13024 13728 13992 14652 15158 15264 15392 15444 15688 15741 15873 15984 16536 17316 17649 18603 18656 19536 20592 20988 21164 21571 21978 22048 22737 22896 23088 23532 24804 25493 25974 27984 29304 30316 30888 31376 31482 31746 31968 33072 34632 35298 37206 39072 41184 41976 42328 43142 43956 45474 45792 46176 47064 47619 49608 50986 51948 52947 55968 58608 60632 61776 62752 62964 63492 64713 66144 68211 69264 70596 74412 76479 83952 84656 86284 87912 90948 94128 95238 99216 101972 103896 105894 117216 121264 123552 125928 126984 129426 136422 138528 141192 142857 148824 152958 167904 169312 172568 175824 181896 188256 190476 194139 198432 203944 204633 207792 211788 229437 242528 251856 253968 258852 272844 280423 282384 285714 297648 305916 345136 351648 363792 380952 388278 407888 409266 415584 423576 458874 503712 507936 517704 545688 560846 564768 571428 582417 595296 611832 688311 690272 727584 761904 776556 815776 818532 841269 847152 917748 1035408 1091376 1121692 1142856 1164834 1223664 1376622 1523808 1553112 1637064 1682538 1694304 1835496 2070816 2182752 2243384 2285712 2329668 2447328 2523807 2753244 3106224 3274128 3365076 3670992 4486768 4571424 4659336 5047614 5506488 6212448 6548256 6730152 7341984 7571421 8973536 9318672 10095228 11012976 13460304 15142842 18637344 20190456 22025952 26920608 30285684 40380912 60571368 80761824 121142736 242285472
- Sum of all divisors σ(n): 868734720
- Sum of proper divisors (its aliquot sum) s(n): 626449248
- 242285472 is an abundant number, because the sum of its proper divisors (626449248) is greater than itself. Its abundance is 384163776
Bases of 242285472
- Binary: 11100111000011111011101000002
- Hexadecimal: 0xE70FBA0
- Base-36: 4090O0
Squares and roots of 242285472
- 242285472 squared (2422854722) is 58702249942262784
- 242285472 cubed (2422854723) is 14222702334723111369474048
-
The
square root of 242285472 is 15565.5218993775 -
The
cube root of 242285472 is 623.4129093473
Scales and comparisons
How big is 242285472?- 242,285,472 seconds is equal to 7 years, 36 weeks, 4 days, 5 hours, 31 minutes, 12 seconds.
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To count from 1 to 242,285,472 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 242285472 cubic inches would be around 52 feet tall.
Recreational maths with 242285472
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