1813742132428800
1,813,742,132,428,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1813742132428800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
1813742132428800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 1813742132428800:
215 × 33 × 52 × 7 × 61 × 181 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 61 × 181 × 1061)See below for interesting mathematical facts about the number 1813742132428800 from the Numbermatics database.
Names of 1813742132428800
- Cardinal: 1813742132428800 can be written as One quadrillion, eight hundred thirteen trillion, seven hundred forty-two billion, one hundred thirty-two million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.8137421324288 × 1015
Factors of 1813742132428800
Divisors of 1813742132428800
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 61 63 64 70 72 75 80 84 90 96 100 105 108 112 120 122 126 128 135 140 144 150 160 168 175 180 181 183 189 192 200 210 216 224 225 240 244 252 256 270 280 288 300 305 315 320 336 350 360 362 366 378 384 400 420 427 432 448 450 480 488 504 512 525 540 543 549 560 576 600 610 630 640 672 675 700 720 724 732 756 768 800 840 854 864 896 900 905 915 945 960 976 1008 1024 1050 1061 1080 1086 1098 1120 1152 1200 1220 1260 1267 1280 1281 1344 1350 1400 1440 1448 1464 1512 1525 1536 1575 1600 1629 1647 1680 1708 1728 1792 1800 1810 1830 1890 1920 1952 2016 2048 2100 2122 2135 2160 2172 2196 2240 2304 2400 2440 2520 2534 2560 2562 2688 2700 2715 2745 2800 2880 2896 2928 3024 3050 3072 3150 3183 3200 3258 3294 3360 3416 3456 3584 3600 3620 3660 3780 3801 3840 3843 3904 4032 4096 4200 4244 4270 4320 4344 4392 4480 4525 4575 4608 4725 4800 4880 4887 5040 5068 5120 5124 5305 5376 5400 5430 5490 5600 5760 5792 5856 6048 6100 6144 6300 6335 6366 6400 6405 6516 6588 6720 6832 6912 7168 7200 7240 7320 7427 7560 7602 7680 7686 7808 8064 8145 8192 8235 8400 8488 8540 8640 8688 8784 8960 9050 9150 9216 9450 9549 9600 9760 9774 10080 10136 10240 10248 10610 10675 10752 10800 10860 10980 11041 11200 11403 11520 11529 11584 11712 12096 12200 12288 12600 12670 12732 12800 12810 13032 13176 13440 13575 13664 13725 13824 14336 14400 14480 14640 14854 15120 15204 15360 15372 15616 15915 16128 16290 16384 16470 16800 16976 17080 17280 17376 17568 17920 18100 18300 18432 18900 19005 19098 19200 19215 19520 19548 20160 20272 20480 20496 21220 21350 21504 21600 21720 21960 22082 22281 22400 22806 23040 23058 23168 23424 24192 24400 24435 24576 25200 25340 25464 25600 25620 26064 26352 26525 26880 27150 27328 27450 27648 28647 28672 28800 28960 29280 29708 30240 30408 30720 30744 31232 31675 31830 32025 32256 32580 32768 32940 33123 33600 33952 34160 34209 34560 34752 35136 35840 36200 36600 36864 37135 37800 38010 38196 38400 38430 39040 39096 40320 40544 40725 40960 40992 41175 42440 42700 43008 43200 43440 43920 44164 44562 44800 45612 46080 46116 46336 46848 47745 48384 48800 48870 49152 50400 50680 50928 51200 51240 52128 52704 53050 53760 54300 54656 54900 55205 55296 57015 57294 57344 57600 57645 57920 58560 59416 60480 60816 61440 61488 62464 63350 63660 64050 64512 64721 65160 65880 66246 66843 67200 67904 68320 68418 69120 69504 70272 71680 72400 73200 73728 74270 75600 76020 76392 76800 76860 77287 78080 78192 79575 80640 81088 81450 81920 81984 82350 84880 85400 86016 86400 86880 87840 88328 89124 89600 91224 92160 92232 92672 93696 95025 95490 96075 96768 97600 97740 98304 99369 100800 101360 101856 102400 102480 104256 105408 106100 107520 108600 109312 109800 110410 110592 111405 114030 114588 114688 115200 115290 115840 117120 118832 120960 121632 122175 122880 122976 124928 126700 127320 128100 129024 129442 130320 131760 132492 133686 134400 135808 136640 136836 138240 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7084930204800 7197389414400 7433369395200 7557258885120 8061076144128 8097063091200 8396954316800 8636867297280 9068710662144 9446573606400 9596519219200 9911159193600 10020674764800 10076345180160 10364240756736 10796084121600 11335888327680 12091614216192 12595431475200 12955300945920 13435126906880 14169860409600 14394778828800 14866738790400 15114517770240 16194126182400 16793908633600 17273734594560 18137421324288 18893147212800 20152690360320 21592168243200 22671776655360 24183228432384 25190862950400 25910601891840 28339720819200 28789557657600 29733477580800 30229035540480 32388252364800 33587817267200 36274842648576 37786294425600 40305380720640 43184336486400 45343553310720 50381725900800 51821203783680 56679441638400 60458071080960 64776504729600 67175634534400 72549685297152 75572588851200 86368672972800 90687106621440 100763451801600 113358883276800 120916142161920 129553009459200 151145177702400 181374213242880 201526903603200 226717766553600 259106018918400 302290355404800 362748426485760 453435533107200 604580710809600 906871066214400 1813742132428800
- Sum of all divisors σ(n): 7790629842777600
- Sum of proper divisors (its aliquot sum) s(n): 5976887710348800
- 1813742132428800 is an abundant number, because the sum of its proper divisors (5976887710348800) is greater than itself. Its abundance is 4163145577920000
Bases of 1813742132428800
- Binary: 1100111000110010110101111111000010010000000000000002
- Hexadecimal: 0x67196BF848000
- Base-36: HUX1MS7PC0
Squares and roots of 1813742132428800
- 1813742132428800 squared (18137421324288002) is 3289660522947370676587069440000
- 1813742132428800 cubed (18137421324288003) is 5966595891857405446987146355858181455872000000
-
The
square root of 1813742132428800 is 42588051.5218623261 -
The
cube root of 1813742132428800 is 121952.8199819631
Scales and comparisons
How big is 1813742132428800?- 1,813,742,132,428,800 seconds is equal to 57,671,389 years, 28 weeks.
-
To count from 1 to 1,813,742,132,428,800 would take you about one hundred seventy-three million, fourteen thousand, one hundred sixty-eight 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 1813742132428800 cubic inches would be around 10162.7 feet tall.
Recreational maths with 1813742132428800
- 1813742132428800 backwards is 0088242312473181
- 1813742132428800 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1813742132428800's digits is 54
- More coming soon!
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"Number 1813742132428800 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 1813742132428800 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/1813742132428800/
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The information we have on file for 1813742132428800 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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