242305920
242,305,920 is an even composite number composed of six prime numbers multiplied together.
242305920 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 242305920:
27 × 32 × 5 × 23 × 31 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 23 × 31 × 59)See below for interesting mathematical facts about the number 242305920 from the Numbermatics database.
Names of 242305920
- Cardinal: 242305920 can be written as Two hundred forty-two million, three hundred five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 2.4230592 × 108
Factors of 242305920
Divisors of 242305920
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 31 32 36 40 45 46 48 59 60 62 64 69 72 80 90 92 93 96 115 118 120 124 128 138 144 155 160 177 180 184 186 192 207 230 236 240 248 276 279 288 295 310 320 345 354 360 368 372 384 414 460 465 472 480 496 531 552 558 576 590 620 640 690 708 713 720 736 744 828 885 920 930 944 960 992 1035 1062 1104 1116 1152 1180 1240 1357 1380 1395 1416 1426 1440 1472 1488 1656 1770 1829 1840 1860 1888 1920 1984 2070 2124 2139 2208 2232 2360 2480 2655 2714 2760 2790 2832 2852 2880 2944 2976 3312 3540 3565 3658 3680 3720 3776 3968 4071 4140 4248 4278 4416 4464 4720 4960 5310 5428 5487 5520 5580 5664 5704 5760 5952 6417 6624 6785 7080 7130 7316 7360 7440 7552 8142 8280 8496 8556 8832 8928 9145 9440 9920 10620 10695 10856 10974 11040 11160 11328 11408 11904 12213 12834 13248 13570 14160 14260 14632 14720 14880 16284 16461 16560 16992 17112 17856 18290 18880 19840 20355 21240 21390 21712 21948 22080 22320 22656 22816 24426 25668 26496 27140 27435 28320 28520 29264 29760 32085 32568 32922 33120 33984 34224 35712 36580 37760 40710 42067 42480 42780 43424 43896 44160 44640 45632 48852 51336 54280 54870 56640 57040 58528 59520 61065 64170 65136 65844 66240 67968 68448 73160 81420 82305 84134 84960 85560 86848 87792 89280 91264 97704 102672 108560 109740 113280 114080 117056 122130 126201 128340 130272 131688 132480 136896 146320 162840 164610 168268 169920 171120 173696 175584 178560 195408 205344 210335 217120 219480 228160 234112 244260 252402 256680 260544 263376 273792 292640 325680 329220 336536 339840 342240 351168 378603 390816 410688 420670 434240 438960 456320 488520 504804 513360 521088 526752 585280 631005 651360 658440 673072 684480 702336 757206 781632 821376 841340 868480 877920 977040 1009608 1026720 1053504 1170560 1262010 1302720 1316880 1346144 1368960 1514412 1563264 1682680 1755840 1893015 1954080 2019216 2053440 2107008 2524020 2605440 2633760 2692288 3028824 3365360 3511680 3786030 3908160 4038432 4106880 5048040 5267520 5384576 6057648 6730720 7572060 7816320 8076864 10096080 10535040 12115296 13461440 15144120 16153728 20192160 24230592 26922880 30288240 40384320 48461184 60576480 80768640 121152960 242305920
- Sum of all divisors σ(n): 916531200
- Sum of proper divisors (its aliquot sum) s(n): 674225280
- 242305920 is an abundant number, because the sum of its proper divisors (674225280) is greater than itself. Its abundance is 431919360
Bases of 242305920
- Binary: 11100111000101001011100000002
- Hexadecimal: 0xE714B80
- Base-36: 409GG0
Squares and roots of 242305920
- 242305920 squared (2423059202) is 58712158867046400
- 242305920 cubed (2423059203) is 14226303669465835634688000
-
The
square root of 242305920 is 15566.1787218315 -
The
cube root of 242305920 is 623.4304467705
Scales and comparisons
How big is 242305920?- 242,305,920 seconds is equal to 7 years, 36 weeks, 4 days, 11 hours, 12 minutes.
-
To count from 1 to 242,305,920 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 242305920 cubic inches would be around 52 feet tall.
Recreational maths with 242305920
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