14388328608768000
14,388,328,608,768,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 14388328608768000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3360 divisors.
14388328608768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 14388328608768000:
213 × 34 × 53 × 17 × 61 × 4092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 61 × 409 × 409)See below for interesting mathematical facts about the number 14388328608768000 from the Numbermatics database.
Names of 14388328608768000
- Cardinal: 14388328608768000 can be written as Fourteen quadrillion, three hundred eighty-eight trillion, three hundred twenty-eight billion, six hundred eight million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.4388328608768 × 1016
Factors of 14388328608768000
Divisors of 14388328608768000
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 61 64 68 72 75 80 81 85 90 96 100 102 108 120 122 125 128 135 136 144 150 153 160 162 170 180 183 192 200 204 216 225 240 244 250 255 256 270 272 288 300 305 306 320 324 340 360 366 375 384 400 405 408 409 425 432 450 459 480 488 500 510 512 540 544 549 576 600 610 612 640 648 675 680 720 732 750 765 768 800 810 816 818 850 864 900 915 918 960 976 1000 1020 1024 1037 1080 1088 1098 1125 1152 1200 1220 1224 1227 1275 1280 1296 1350 1360 1377 1440 1464 1500 1525 1530 1536 1600 1620 1632 1636 1647 1700 1728 1800 1830 1836 1920 1952 2000 2025 2040 2045 2048 2074 2125 2160 2176 2196 2250 2295 2304 2400 2440 2448 2454 2550 2560 2592 2700 2720 2745 2754 2880 2928 3000 3050 3060 3072 3111 3200 3240 3264 3272 3294 3375 3400 3456 3600 3660 3672 3681 3825 3840 3904 4000 4050 4080 4090 4096 4148 4250 4320 4352 4392 4500 4575 4590 4608 4800 4880 4896 4908 4941 5100 5120 5184 5185 5400 5440 5490 5508 5760 5856 6000 6100 6120 6135 6144 6222 6375 6400 6480 6528 6544 6588 6750 6800 6885 6912 6953 7200 7320 7344 7362 7625 7650 7680 7808 8000 8100 8160 8180 8192 8235 8296 8500 8640 8704 8784 9000 9150 9180 9216 9333 9600 9760 9792 9816 9882 10125 10200 10225 10240 10368 10370 10800 10880 10980 11016 11043 11475 11520 11712 12000 12200 12240 12270 12288 12444 12750 12800 12960 13056 13088 13176 13500 13600 13725 13770 13824 13906 14400 14640 14688 14724 15250 15300 15360 15555 15616 16000 16200 16320 16360 16470 16592 17000 17280 17408 17568 18000 18300 18360 18405 18432 18666 19125 19200 19520 19584 19632 19764 20250 20400 20450 20480 20736 20740 20859 21600 21760 21960 22032 22086 22875 22950 23040 23424 24000 24400 24480 24540 24576 24705 24888 24949 25500 25600 25920 25925 26112 26176 26352 27000 27200 27450 27540 27648 27812 27999 28800 29280 29376 29448 30500 30600 30675 30720 31110 31232 32000 32400 32640 32720 32940 33129 33184 34000 34425 34560 34765 34816 35136 36000 36600 36720 36810 36864 37332 38250 38400 39040 39168 39264 39528 40500 40800 40900 40960 41175 41472 41480 41718 43200 43520 43920 44064 44172 45750 45900 46080 46665 46848 48000 48800 48960 49080 49410 49776 49898 51000 51125 51200 51840 51850 52224 52352 52704 54000 54400 54900 55080 55215 55296 55624 55998 57375 57600 58560 58752 58896 61000 61200 61350 61440 62220 62464 62577 64000 64800 65280 65440 65880 66258 66368 68000 68625 68850 69120 69530 69632 70272 72000 73200 73440 73620 73728 74664 74847 76500 76800 77775 78080 78336 78528 79056 81000 81600 81800 82350 82944 82960 83436 83997 86400 87040 87840 88128 88344 91500 91800 92025 92160 93330 93696 96000 97600 97920 98160 98820 99552 99796 102000 102250 102400 103680 103700 104295 104448 104704 105408 108000 108800 109800 110160 110430 110592 111248 111996 114750 115200 117120 117504 117792 122000 122400 122700 122880 123525 124440 124745 124928 125154 128000 129600 129625 130560 130880 131760 132516 132736 136000 137250 137700 138240 139060 139264 139995 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37469605752000 38368876290048 39312373248000 39967579468800 42318613555200 44408421632000 44963526902400 47020681728000 47174847897600 47961095362560 49959474336000 52898266944000 53290105958400 56204408628000 56424818073600 57553314435072 58968559872000 59951369203200 63948127150080 66612632448000 70531022592000 71941643043840 74939211504000 78624746496000 79935158937600 84637227110400 88816843264000 89927053804800 94041363456000 95922190725120 99918948672000 105796533888000 106580211916800 112408817256000 115106628870144 117937119744000 119902738406400 133225264896000 141062045184000 143883286087680 149878423008000 159870317875200 169274454220800 177633686528000 179854107609600 191844381450240 199837897344000 211593067776000 224817634512000 235874239488000 239805476812800 266450529792000 282124090368000 287766572175360 299756846016000 319740635750400 359708215219200 399675794688000 423186135552000 449635269024000 479610953625600 532901059584000 575533144350720 599513692032000 719416430438400 799351589376000 846372271104000 899270538048000 959221907251200 1199027384064000 1438832860876800 1598703178752000 1798541076096000 2398054768128000 2877665721753600 3597082152192000 4796109536256000 7194164304384000 14388328608768000
- Sum of all divisors σ(n): 57873180345943248
- Sum of proper divisors (its aliquot sum) s(n): 43484851737175248
- 14388328608768000 is an abundant number, because the sum of its proper divisors (43484851737175248) is greater than itself. Its abundance is 29096523128407248
Bases of 14388328608768000
- Binary: 1100110001111000011011110011111010001100100000000000002
- Hexadecimal: 0x331E1BCFA32000
- Base-36: 3XO8IWU0W00
Squares and roots of 14388328608768000
- 14388328608768000 squared (143883286087680002) is 207024000153891690406477824000000
- 14388328608768000 cubed (143883286087680003) is 2978729344115830643727192841808963960832000000000
-
The
square root of 14388328608768000 is 119951359.3452279307 -
The
cube root of 14388328608768000 is 243222.3326502291
Scales and comparisons
How big is 14388328608768000?- 14,388,328,608,768,000 seconds is equal to 457,504,343 years, 38 weeks, 2 days.
-
To count from 1 to 14,388,328,608,768,000 would take you about one billion, three hundred seventy-two million, five hundred thirteen thousand and thirty-one 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 14388328608768000 cubic inches would be around 20268.5 feet tall.
Recreational maths with 14388328608768000
- 14388328608768000 backwards is 00086780682388341
- 14388328608768000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 14388328608768000's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 14388328608768000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 14388328608768000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/14388328608768000/
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Numbermatics. 2024. "Number 14388328608768000 - Facts about the integer". https://numbermatics.com/n/14388328608768000/
The information we have on file for 14388328608768000 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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