104742066019200
104,742,066,019,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 104742066019200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
104742066019200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 104742066019200:
27 × 3 × 52 × 193 × 232 × 31 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 19 × 19 × 23 × 23 × 31 × 97)See below for interesting mathematical facts about the number 104742066019200 from the Numbermatics database.
Names of 104742066019200
- Cardinal: 104742066019200 can be written as One hundred four trillion, seven hundred forty-two billion, sixty-six million, nineteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.047420660192 × 1014
Factors of 104742066019200
Divisors of 104742066019200
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 25 30 31 32 38 40 46 48 50 57 60 62 64 69 75 76 80 92 93 95 96 97 100 114 115 120 124 128 138 150 152 155 160 184 186 190 192 194 200 228 230 240 248 276 285 291 300 304 310 320 345 361 368 372 380 384 388 400 437 456 460 465 475 480 485 496 529 552 570 575 582 589 600 608 620 640 690 713 722 736 744 760 775 776 800 874 912 920 930 950 960 970 992 1058 1083 1104 1140 1150 1164 1178 1200 1216 1240 1311 1380 1425 1426 1444 1455 1472 1488 1520 1550 1552 1587 1600 1725 1748 1767 1805 1824 1840 1843 1860 1900 1920 1940 1984 2116 2139 2166 2185 2208 2231 2280 2300 2325 2328 2356 2400 2425 2432 2480 2622 2645 2760 2850 2852 2888 2910 2944 2945 2976 3007 3040 3100 3104 3174 3200 3450 3496 3534 3565 3610 3648 3680 3686 3720 3800 3880 3968 4232 4278 4332 4370 4416 4462 4560 4600 4650 4656 4712 4800 4850 4960 5244 5290 5415 5520 5529 5700 5704 5776 5820 5890 5952 6014 6080 6200 6208 6348 6555 6693 6859 6900 6992 7068 7130 7220 7275 7296 7360 7372 7440 7600 7760 7935 8303 8464 8556 8664 8740 8832 8835 8924 9021 9025 9120 9200 9215 9300 9312 9424 9600 9700 9920 10051 10488 10580 10695 10830 10925 11040 11058 11155 11191 11400 11408 11552 11640 11780 11904 12028 12160 12400 12416 12696 13110 13225 13386 13547 13718 13800 13984 14136 14260 14440 14550 14720 14725 14744 14880 15035 15200 15520 15870 16399 16606 16928 17112 17328 17480 17670 17825 17848 18042 18050 18240 18400 18430 18600 18624 18848 19400 19840 20102 20577 20976 21160 21390 21660 21850 22080 22116 22310 22382 22800 22816 23104 23280 23560 24056 24800 24909 25392 26220 26450 26772 27075 27094 27436 27600 27645 27968 28272 28520 28880 29100 29450 29488 29760 30070 30153 30400 31040 31740 32775 32798 33212 33465 33573 33856 34224 34295 34656 34960 35017 35340 35650 35696 36084 36100 36480 36800 36860 37200 37248 37696 38800 39675 40204 40641 41154 41515 41952 42320 42389 42780 43320 43700 44160 44175 44232 44620 44764 45105 45600 45632 46075 46208 46560 47120 48112 49197 49600 49818 50255 50784 51313 52440 52900 53475 53544 54150 54188 54872 55200 55290 55775 55936 55955 56544 57040 57133 57760 58200 58900 58976 59520 60140 60306 60800 62080 63480 65550 65596 66424 66930 67146 67712 67735 68448 68590 69161 69312 69920 70034 70680 71300 71392 72168 72200 73600 73720 74400 75175 75392 77600 79350 80408 81282 81995 82308 83030 83904 84640 84778 85560 86640 87400 88350 88464 89240 89528 90210 91200 91264 92150 93120 94240 96224 98394 99200 99636 100510 101568 102626 102885 104880 105051 105800 106950 107088 108300 108376 109744 110400 110580 111550 111910 113088 114080 114266 115520 116400 117800 117952 120280 120612 124545 126960 127167 131100 131192 132848 133860 134292 135470 136896 137180 138225 138322 138624 139840 140068 141360 142600 142784 144336 144400 147440 148800 150350 150765 153939 155200 157757 158700 160816 162564 163990 164616 166060 167325 167808 167865 169280 169556 171120 171399 171475 173280 174800 175085 176700 176928 178480 179056 180420 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72536056800 73451659200 73503204224 75900047840 79894787200 84469408080 86136567450 87285055016 88915166400 89984592800 91080057408 91879005280 94875059800 96714742400 99000062400 105586760100 107981511360 109106318770 110254806336 112625877440 113850071760 114848756600 119842180800 130927582524 134976889200 135151052928 137818507920 140782346800 142312589700 145072113600 146903318400 151800095680 163659478155 168938816160 172273134900 174570110032 177830332800 179969185600 182160114816 183758010560 189750119600 198000124800 211173520200 215963022720 218212637540 220509612672 225251754880 227700143520 229697513200 239684361600 261855165048 269953778400 272765796925 275637015840 281564693600 284625179400 290144227200 303600191360 327318956310 337877632320 344546269800 349140220064 359938371200 367516021120 379500239200 422347040400 436425275080 455400287040 459395026400 523710330096 539907556800 545531593850 551274031680 563129387200 569250358800 654637912620 675755264640 689092539600 698280440128 759000478400 818297390775 844694080800 872850550160 910800574080 918790052800 1047420660192 1079815113600 1091063187700 1102548063360 1126258774400 1138500717600 1309275825240 1378185079200 1396560880256 1518000956800 1636594781550 1689388161600 1745701100320 1837580105600 2094841320384 2182126375400 2277001435200 2618551650480 2756370158400 3273189563100 3378776323200 3491402200640 4189682640768 4364252750800 4554002870400 5237103300960 5512740316800 6546379126200 6982804401280 8728505501600 10474206601920 13092758252400 17457011003200 20948413203840 26185516504800 34914022006400 52371033009600 104742066019200
- Sum of all divisors σ(n): 397010156390400
- Sum of proper divisors (its aliquot sum) s(n): 292268090371200
- 104742066019200 is an abundant number, because the sum of its proper divisors (292268090371200) is greater than itself. Its abundance is 187526024352000
Bases of 104742066019200
- Binary: 101111101000011001010011010001101011011100000002
- Hexadecimal: 0x5F4329A35B80
- Base-36: 114LU9QX6O
Squares and roots of 104742066019200
- 104742066019200 squared (1047420660192002) is 10970900393970451334768640000
- 104742066019200 cubed (1047420660192003) is 1149114773355320303320357651237797888000000
-
The
square root of 104742066019200 is 10234357.1375636487 -
The
cube root of 104742066019200 is 47138.2778553365
Scales and comparisons
How big is 104742066019200?- 104,742,066,019,200 seconds is equal to 3,330,473 years, 36 weeks, 6 days, 18 hours, 40 minutes.
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To count from 1 to 104,742,066,019,200 would take you about eight million, three hundred twenty-six thousand, one hundred eighty-four 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 104742066019200 cubic inches would be around 3928.2 feet tall.
Recreational maths with 104742066019200
- 104742066019200 backwards is 002910660247401
- The number of decimal digits it has is: 15
- The sum of 104742066019200's digits is 42
- More coming soon!
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The information we have on file for 104742066019200 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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