4142028800
4,142,028,800 is an even composite number composed of five prime numbers multiplied together.
4142028800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 4142028800:
211 × 52 × 72 × 13 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 127)See below for interesting mathematical facts about the number 4142028800 from the Numbermatics database.
Names of 4142028800
- Cardinal: 4142028800 can be written as Four billion, one hundred forty-two million, twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.1420288 × 109
Factors of 4142028800
Divisors of 4142028800
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 127 128 130 140 160 175 182 196 200 208 224 245 254 256 260 280 320 325 350 364 392 400 416 448 455 490 508 512 520 560 635 637 640 650 700 728 784 800 832 889 896 910 980 1016 1024 1040 1120 1225 1270 1274 1280 1300 1400 1456 1568 1600 1651 1664 1778 1792 1820 1960 2032 2048 2080 2240 2275 2450 2540 2548 2560 2600 2800 2912 3136 3175 3185 3200 3302 3328 3556 3584 3640 3920 4064 4160 4445 4480 4550 4900 5080 5096 5120 5200 5600 5824 6223 6272 6350 6370 6400 6604 6656 7112 7168 7280 7840 8128 8255 8320 8890 8960 9100 9800 10160 10192 10240 10400 11200 11557 11648 12446 12544 12700 12740 12800 13208 13312 14224 14336 14560 15680 15925 16256 16510 16640 17780 17920 18200 19600 20320 20384 20800 22225 22400 23114 23296 24892 25088 25400 25480 25600 26416 26624 28448 29120 31115 31360 31850 32512 33020 33280 35560 35840 36400 39200 40640 40768 41275 41600 44450 44800 46228 46592 49784 50176 50800 50960 51200 52832 56896 57785 58240 62230 62720 63700 65024 66040 66560 71120 71680 72800 78400 80899 81280 81536 82550 83200 88900 89600 92456 93184 99568 100352 101600 101920 105664 113792 115570 116480 124460 125440 127400 130048 132080 133120 142240 145600 155575 156800 161798 162560 163072 165100 166400 177800 179200 184912 186368 199136 203200 203840 211328 227584 231140 232960 248920 250880 254800 260096 264160 284480 288925 291200 311150 313600 323596 325120 326144 330200 332800 355600 358400 369824 398272 404495 406400 407680 422656 455168 462280 465920 497840 501760 509600 528320 568960 577850 582400 622300 627200 647192 650240 652288 660400 665600 711200 739648 796544 808990 812800 815360 845312 910336 924560 931840 995680 1019200 1056640 1137920 1155700 1164800 1244600 1254400 1294384 1300480 1304576 1320800 1422400 1479296 1593088 1617980 1625600 1630720 1690624 1820672 1849120 1991360 2022475 2038400 2113280 2275840 2311400 2329600 2489200 2508800 2588768 2641600 2844800 2958592 3186176 3235960 3251200 3261440 3381248 3698240 3982720 4044950 4076800 4226560 4551680 4622800 4659200 4978400 5177536 5283200 5689600 5917184 6372352 6471920 6502400 6522880 7396480 7965440 8089900 8153600 8453120 9103360 9245600 9956800 10355072 10566400 11379200 11834368 12744704 12943840 14792960 15930880 16179800 16307200 16906240 18491200 19913600 20710144 21132800 22758400 23668736 25887680 29585920 31861760 32359600 32614400 36982400 39827200 41420288 42265600 45516800 51775360 59171840 63723520 64719200 73964800 79654400 82840576 84531200 103550720 118343680 129438400 147929600 159308800 165681152 207101440 258876800 295859200 318617600 414202880 517753600 591718400 828405760 1035507200 2071014400 4142028800
- Sum of all divisors σ(n): 12966670080
- Sum of proper divisors (its aliquot sum) s(n): 8824641280
- 4142028800 is an abundant number, because the sum of its proper divisors (8824641280) is greater than itself. Its abundance is 4682612480
Bases of 4142028800
- Binary: 111101101110001001011000000000002
- Hexadecimal: 0xF6E25800
- Base-36: 1WI21VK
Squares and roots of 4142028800
- 4142028800 squared (41420288002) is 17156402580029440000
- 4142028800 cubed (41420288003) is 71062313590876245327872000000
-
The
square root of 4142028800 is 64358.5953855427 -
The
cube root of 4142028800 is 1605.9710224209
Scales and comparisons
How big is 4142028800?- 4,142,028,800 seconds is equal to 131 years, 36 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
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To count from 1 to 4,142,028,800 would take you about two hundred sixty-three 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 4142028800 cubic inches would be around 133.8 feet tall.
Recreational maths with 4142028800
- 4142028800 backwards is 0088202414
- The number of decimal digits it has is: 10
- The sum of 4142028800's digits is 29
- More coming soon!
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