4138198564864000
4,138,198,564,864,000 is an even composite number composed of five prime numbers multiplied together.
4138198564864000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 4138198564864000:
219 × 53 × 75 × 13 × 172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 13 × 17 × 17)See below for interesting mathematical facts about the number 4138198564864000 from the Numbermatics database.
Names of 4138198564864000
- Cardinal: 4138198564864000 can be written as Four quadrillion, one hundred thirty-eight trillion, one hundred ninety-eight billion, five hundred sixty-four million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.138198564864 × 1015
Factors of 4138198564864000
Divisors of 4138198564864000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 49 50 52 56 64 65 68 70 80 85 91 98 100 104 112 119 125 128 130 136 140 160 170 175 182 196 200 208 221 224 238 245 250 256 260 272 280 289 320 325 340 343 350 364 392 400 416 425 442 448 455 476 490 500 512 520 544 560 578 595 637 640 650 680 686 700 728 784 800 832 833 850 875 884 896 910 952 980 1000 1024 1040 1088 1105 1120 1156 1190 1225 1274 1280 1300 1360 1372 1400 1445 1456 1547 1568 1600 1625 1664 1666 1700 1715 1750 1768 1792 1820 1904 1960 2000 2023 2048 2080 2125 2176 2210 2240 2275 2312 2380 2401 2450 2548 2560 2600 2720 2744 2800 2890 2912 2975 3094 3136 3185 3200 3250 3328 3332 3400 3430 3500 3536 3584 3640 3757 3808 3920 4000 4046 4096 4160 4165 4250 4352 4420 4459 4480 4550 4624 4760 4802 4900 5096 5120 5200 5440 5488 5525 5600 5780 5824 5831 5950 6125 6188 6272 6370 6400 6500 6656 6664 6800 6860 7000 7072 7168 7225 7280 7514 7616 7735 7840 8000 8092 8192 8320 8330 8500 8575 8704 8840 8918 8960 9100 9248 9520 9604 9800 10115 10192 10240 10400 10829 10880 10976 11050 11200 11375 11560 11648 11662 11900 12005 12250 12376 12544 12740 12800 13000 13312 13328 13600 13720 14000 14144 14161 14336 14450 14560 14875 15028 15232 15470 15680 15925 16000 16184 16384 16640 16660 16807 17000 17150 17408 17680 17836 17920 18200 18496 18785 19040 19208 19600 20230 20384 20480 20800 20825 21658 21760 21952 22100 22295 22400 22750 23120 23296 23324 23800 24010 24500 24752 25088 25480 25600 26000 26299 26624 26656 27200 27440 27625 28000 28288 28322 28672 28900 29120 29155 29750 30056 30464 30940 31213 31360 31850 32000 32368 32768 33280 33320 33614 34000 34300 34816 35360 35672 35840 36125 36400 36992 37570 38080 38416 38675 39200 40460 40768 40817 40960 41600 41650 42875 43316 43520 43904 44200 44590 44800 45500 46240 46592 46648 47600 48020 49000 49504 50176 50575 50960 51200 52000 52598 53248 53312 54145 54400 54880 55250 56000 56576 56644 57344 57800 58240 58310 59500 60025 60112 60928 61880 62426 62720 63700 64000 64736 65536 66560 66640 67228 68000 68600 69632 70720 70805 71344 71680 72250 72800 73984 75140 75803 76160 76832 77350 78400 79625 80920 81536 81634 81920 83200 83300 84035 85750 86632 87040 87808 88400 89180 89600 91000 92480 93184 93296 93925 95200 96040 98000 99008 99127 100352 101150 101920 102400 104000 104125 105196 106496 106624 108290 108800 109760 110500 111475 112000 113152 113288 114688 115600 116480 116620 119000 120050 120224 121856 123760 124852 125440 127400 128000 129472 131072 131495 133120 133280 134456 136000 137200 139264 141440 141610 142688 143360 144500 145600 145775 147968 150280 151606 152320 153664 154700 156065 156800 159250 161840 163072 163268 163840 166400 166600 168070 171500 173264 174080 175616 176800 178360 179200 182000 184093 184960 186368 186592 187850 190400 192080 193375 196000 198016 198254 200704 202300 203840 204085 204800 208000 208250 210392 212992 213248 216580 217600 218491 219520 221000 222950 224000 226304 226576 229376 231200 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14779280588800 15213965312000 15916148326400 16164838144000 16552794259456 16890606387200 17387388928000 18474100736000 18724880384000 19895185408000 20690992824320 21113257984000 22737354752000 23646848942080 24342344499200 25863741030400 29558561177600 30427930624000 31832296652800 32329676288000 33105588518912 34774777856000 36948201472000 39790370816000 41381985648640 42226515968000 45474709504000 48684688998400 51727482060800 59117122355200 60855861248000 63664593305600 64659352576000 73896402944000 79580741632000 82763971297280 84453031936000 103454964121600 118234244710400 121711722496000 129318705152000 147792805888000 159161483264000 165527942594560 206909928243200 243423444992000 258637410304000 295585611776000 318322966528000 413819856486400 517274820608000 591171223552000 827639712972800 1034549641216000 2069099282432000 4138198564864000
- Sum of all divisors σ(n): 13785540765796800
- Sum of proper divisors (its aliquot sum) s(n): 9647342200932800
- 4138198564864000 is an abundant number, because the sum of its proper divisors (9647342200932800) is greater than itself. Its abundance is 5509143636068800
Bases of 4138198564864000
- Binary: 11101011001110101011011011110111100000000000000000002
- Hexadecimal: 0xEB3AB6F780000
- Base-36: 14QVA6CEDJ4
Squares and roots of 4138198564864000
- 4138198564864000 squared (41381985648640002) is 17124687362242469215338496000000
- 4138198564864000 cubed (41381985648640003) is 70865356666176463807705464323172204544000000000
-
The
square root of 4138198564864000 is 64328831.5210528287 -
The
cube root of 4138198564864000 is 160547.5842886215
Scales and comparisons
How big is 4138198564864000?- 4,138,198,564,864,000 seconds is equal to 131,581,914 years, 3 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 4,138,198,564,864,000 would take you about three hundred ninety-four million, seven hundred forty-five thousand, seven hundred forty-two 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 4138198564864000 cubic inches would be around 13379 feet tall.
Recreational maths with 4138198564864000
- 4138198564864000 backwards is 0004684658918314
- The number of decimal digits it has is: 16
- The sum of 4138198564864000's digits is 67
- More coming soon!
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Cite this page
MLA style:
"Number 4138198564864000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 4138198564864000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/4138198564864000/
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The information we have on file for 4138198564864000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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