13728227884800
13,728,227,884,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13728227884800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
13728227884800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13728227884800:
28 × 3 × 52 × 113 × 13 × 312 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 11 × 13 × 31 × 31 × 43)See below for interesting mathematical facts about the number 13728227884800 from the Numbermatics database.
Names of 13728227884800
- Cardinal: 13728227884800 can be written as Thirteen trillion, seven hundred twenty-eight billion, two hundred twenty-seven million, eight hundred eighty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.37282278848 × 1013
Factors of 13728227884800
Divisors of 13728227884800
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 31 32 33 39 40 43 44 48 50 52 55 60 62 64 65 66 75 78 80 86 88 93 96 100 104 110 120 121 124 128 129 130 132 143 150 155 156 160 165 172 176 186 192 195 200 208 215 220 240 242 248 256 258 260 264 275 286 300 310 312 320 325 330 341 344 352 363 372 384 390 400 403 416 429 430 440 465 473 480 484 496 516 520 528 550 559 572 600 605 620 624 640 645 650 660 682 688 704 715 726 744 768 775 780 800 806 825 832 858 860 880 930 946 960 961 968 975 992 1023 1032 1040 1056 1075 1100 1118 1144 1200 1209 1210 1240 1248 1280 1290 1300 1320 1331 1333 1364 1376 1408 1419 1430 1452 1488 1550 1560 1573 1600 1612 1650 1664 1677 1705 1716 1720 1760 1815 1860 1892 1920 1922 1936 1950 1984 2015 2046 2064 2080 2112 2145 2150 2200 2236 2288 2325 2365 2400 2418 2420 2480 2496 2580 2600 2640 2662 2666 2728 2752 2795 2816 2838 2860 2883 2904 2976 3025 3100 3120 3146 3200 3224 3225 3300 3328 3354 3410 3432 3440 3520 3575 3630 3720 3751 3784 3840 3844 3872 3900 3968 3993 3999 4030 4092 4128 4160 4224 4290 4300 4400 4433 4472 4576 4650 4719 4730 4800 4805 4836 4840 4960 4992 5115 5160 5200 5203 5280 5324 5332 5456 5504 5590 5676 5720 5766 5808 5952 6045 6050 6149 6200 6240 6292 6400 6448 6450 6600 6655 6665 6708 6820 6864 6880 7040 7095 7150 7260 7440 7502 7568 7688 7744 7800 7865 7936 7986 7998 8060 8184 8256 8320 8385 8448 8525 8580 8600 8800 8866 8944 9075 9152 9300 9438 9460 9600 9610 9672 9680 9920 9984 10075 10230 10320 10400 10406 10560 10571 10648 10664 10725 10912 11008 11180 11253 11352 11440 11532 11616 11825 11904 12090 12100 12298 12400 12480 12493 12584 12896 12900 13200 13299 13310 13330 13416 13640 13728 13760 13975 14080 14190 14300 14415 14520 14663 14880 15004 15136 15376 15488 15600 15609 15730 15972 15996 16120 16368 16512 16640 16770 17050 17160 17200 17303 17329 17600 17732 17888 18150 18304 18447 18600 18755 18876 18920 19200 19220 19344 19360 19840 19965 19995 20150 20460 20640 20800 20812 21120 21142 21296 21328 21450 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52000863200 52800876480 53210185600 53625890175 55355757600 56728214400 57200949520 62401035840 63852222720 66001095600 68641139424 70401168640 71501186900 73807676800 78001294800 79815278400 83201381120 85801424280 88001460800 88569212160 91521519232 96001593600 104001726400 105601752960 106420371200 107251780350 110711515200 113456428800 114401899040 124802071680 132002191200 137282278848 143002373800 147615353600 156002589600 159630556800 171602848560 176002921600 183043038464 208003452800 211203505920 214503560700 221423030400 228803798080 249604143360 264004382400 274564557696 286004747600 312005179200 319261113600 343205697120 352005843200 416006905600 429007121400 442846060800 457607596160 528008764800 549129115392 572009495200 624010358400 686411394240 858014242800 915215192320 1056017529600 1144018990400 1248020716800 1372822788480 1716028485600 2288037980800 2745645576960 3432056971200 4576075961600 6864113942400 13728227884800
- Sum of all divisors σ(n): 56743173704448
- Sum of proper divisors (its aliquot sum) s(n): 43014945819648
- 13728227884800 is an abundant number, because the sum of its proper divisors (43014945819648) is greater than itself. Its abundance is 29286717934848
Bases of 13728227884800
- Binary: 110001111100010110100010010101111111000000002
- Hexadecimal: 0xC7C5A257F00
- Base-36: 4V6NSFHMO
Squares and roots of 13728227884800
- 13728227884800 squared (137282278848002) is 188464240857000282071040000
- 13728227884800 cubed (137282278848003) is 2587280046620734721609116822536192000000
-
The
square root of 13728227884800 is 3705162.3290754753 -
The
cube root of 13728227884800 is 23944.4478363127
Scales and comparisons
How big is 13728227884800?- 13,728,227,884,800 seconds is equal to 436,515 years, 9 weeks, 3 days, 10 hours, 40 minutes.
-
To count from 1 to 13,728,227,884,800 would take you about one million, ninety-one thousand, two hundred eighty-seven 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 13728227884800 cubic inches would be around 1995.4 feet tall.
Recreational maths with 13728227884800
- 13728227884800 backwards is 00848872282731
- 13728227884800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13728227884800's digits is 60
- More coming soon!
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"Number 13728227884800 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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The information we have on file for 13728227884800 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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