21998327036400
21,998,327,036,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 21998327036400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
21998327036400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 21998327036400:
24 × 311 × 52 × 11 × 132 × 167
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 13 × 13 × 167)See below for interesting mathematical facts about the number 21998327036400 from the Numbermatics database.
Names of 21998327036400
- Cardinal: 21998327036400 can be written as Twenty-one trillion, nine hundred ninety-eight billion, three hundred twenty-seven million, thirty-six thousand, four hundred.
Scientific notation
- Scientific notation: 2.19983270364 × 1013
Factors of 21998327036400
Divisors of 21998327036400
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 33 36 39 40 44 45 48 50 52 54 55 60 65 66 72 75 78 80 81 88 90 99 100 104 108 110 117 120 130 132 135 143 144 150 156 162 165 167 169 176 180 195 198 200 208 216 220 225 234 240 243 260 264 270 275 286 297 300 312 324 325 330 334 338 351 360 390 396 400 405 429 432 440 450 468 486 495 501 507 520 528 540 550 572 585 594 600 624 648 650 660 668 675 676 702 715 720 729 780 792 810 825 835 845 858 880 891 900 936 972 975 990 1002 1014 1040 1053 1080 1100 1144 1170 1188 1200 1215 1287 1296 1300 1320 1336 1350 1352 1404 1430 1458 1485 1503 1521 1560 1584 1620 1650 1670 1690 1716 1755 1782 1800 1837 1859 1872 1944 1950 1980 2004 2025 2028 2106 2145 2160 2171 2187 2200 2288 2340 2376 2430 2475 2505 2535 2574 2600 2640 2672 2673 2700 2704 2808 2860 2916 2925 2970 3006 3042 3120 3159 3240 3300 3340 3380 3432 3510 3564 3575 3600 3645 3674 3718 3861 3888 3900 3960 4008 4050 4056 4175 4212 4225 4290 4342 4374 4400 4455 4509 4563 4680 4752 4860 4950 5010 5070 5148 5200 5265 5346 5400 5511 5577 5616 5720 5832 5850 5940 6012 6075 6084 6318 6435 6480 6513 6561 6600 6680 6760 6864 7020 7128 7150 7290 7348 7425 7436 7515 7605 7722 7800 7920 8016 8019 8100 8112 8350 8424 8450 8580 8684 8748 8775 8910 9018 9126 9185 9295 9360 9477 9720 9900 10020 10140 10296 10530 10692 10725 10800 10855 10935 11022 11154 11440 11583 11664 11700 11880 12024 12150 12168 12525 12636 12675 12870 13026 13122 13200 13360 13365 13520 13527 13689 14040 14256 14300 14580 14696 14850 14872 15030 15210 15444 15600 15795 16038 16200 16533 16700 16731 16848 16900 17160 17368 17496 17550 17820 18036 18225 18252 18370 18590 18954 19305 19440 19539 19683 19800 20040 20280 20592 21060 21384 21450 21710 21870 22044 22275 22308 22545 22815 23166 23400 23760 23881 24048 24057 24300 24336 25050 25272 25350 25740 26052 26244 26325 26730 27054 27378 27555 27885 28080 28223 28431 28600 29160 29392 29700 29744 30060 30420 30888 31590 32076 32175 32400 32565 32805 33066 33400 33462 33800 34320 34736 34749 34992 35100 35640 36072 36450 36504 36740 37180 37575 37908 38025 38610 39078 39366 39600 40080 40095 40560 40581 41067 42120 42768 42900 43420 43740 44088 44550 44616 45090 45630 45925 46332 46475 46800 47385 47762 48114 48600 49599 50100 50193 50544 50700 51480 52104 52488 52650 53460 54108 54275 54675 54756 55110 55770 56446 56862 57200 57915 58320 58617 59049 59400 60120 60840 61776 63180 64152 64350 65130 65610 66132 66800 66825 66924 67600 67635 68445 69498 70200 71280 71643 72144 72171 72900 73008 73480 74360 75150 75816 76050 77220 78156 78732 78975 80190 81162 82134 82665 83655 84240 84669 85293 85800 86840 87480 88176 89100 89232 90180 91260 91850 92664 92950 94770 95524 96228 96525 97200 97695 98415 99198 100200 100386 101400 102960 104208 104247 104976 105300 106920 108216 108550 109350 109512 110220 111540 112725 112892 113724 114075 115830 117234 118098 118800 119405 120240 120285 121680 121743 123201 126360 128304 128700 130260 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5697572400 5916709800 5987568600 6035206320 6110646399 6153378192 6172370100 6267329640 6409768950 6508380780 6586325460 6666159708 6789607110 6963699600 7050745845 7231534200 7318139400 7406844120 7520795568 7544007900 7691722740 7834162050 8135475975 8147528532 8229826800 8232906825 8332699635 8460895014 8546358600 8677841040 8781767280 8888212944 9052809480 9258555150 9400994460 9614653425 9999239562 10058677200 10132808400 10184410665 10255630320 10445549400 10847301300 10863371376 10977209100 11110266180 11281193352 11316011850 11751243075 11833419600 11975137200 12221292798 12344740200 12534659280 12819537900 13016761560 13172650920 13332319416 13579214220 13887832725 14101491690 14463068400 14636278800 14813688240 15088015800 15383445480 15668324100 16270951950 16295057064 16465813650 16665399270 16921790028 16974017775 17092717200 18105618960 18331939197 18517110300 18801988920 19229306850 19998479124 20368821330 20891098800 21152237535 21694602600 21954418200 22220532360 22562386704 22632023700 23502486150 24442585596 24689480400 24998098905 25639075800 26033523120 26345301840 26664638832 27158428440 27775665450 28202983380 30176031600 30553231995 30766890960 31336648200 32541903900 32590114128 32931627300 33330798540 33843580056 33948035550 35253729225 36663878394 37034220600 37603977840 38458613700 39996958248 40737642660 41663498175 42304475070 43389205200 43908836400 44441064720 45264047400 47004972300 48885171192 49996197810 50922053325 51278151600 54316856880 54995817591 55551330900 56405966760 61106463990 62673296400 65083807800 65863254600 66661597080 67687160112 67896071100 70507458450 73327756788 74068441200 76917227400 79993916496 81475285320 83326996350 84608950140 90528094800 91659695985 94009944600 97770342384 99992395620 101844106650 105761187675 109991635182 111102661800 112811933520 122212927980 124990494525 130167615600 131726509200 133323194160 135792142200 141014916900 146655513576 152766159975 153834454800 162950570640 166653992700 169217900280 183319391970 188019889200 199984791240 203688213300 211522375350 219983270364 222205323600 244425855960 249980989050 271584284400 274979087955 282029833800 293311027152 305532319950 333307985400 338435800560 366638783940 399969582480 407376426600 423044750700 439966540728 458298479925 488851711920 499961978100 549958175910 564059667600 611064639900 666615970800 733277567880 814752853200 846089501400 879933081456 916596959850 999923956200 1099916351820 1222129279800 1374895439775 1466555135760 1692179002800 1833193919700 1999847912400 2199832703640 2444258559600 2749790879550 3666387839400 4399665407280 5499581759100 7332775678800 10999163518200 21998327036400
- Sum of all divisors σ(n): 94208317781760
- Sum of proper divisors (its aliquot sum) s(n): 72209990745360
- 21998327036400 is an abundant number, because the sum of its proper divisors (72209990745360) is greater than itself. Its abundance is 50211663708960
Bases of 21998327036400
- Binary: 1010000000001111000100111011111111001111100002
- Hexadecimal: 0x1401E277F9F0
- Base-36: 7SPW3XR00
Squares and roots of 21998327036400
- 21998327036400 squared (219983270364002) is 483926392400407206924960000
- 21998327036400 cubed (219983270364003) is 10645571041569393354466756873988544000000
-
The
square root of 21998327036400 is 4690237.4179139375 -
The
cube root of 21998327036400 is 28019.6830294881
Scales and comparisons
How big is 21998327036400?- 21,998,327,036,400 seconds is equal to 699,478 years, 39 weeks, 1 day, 15 hours.
-
To count from 1 to 21,998,327,036,400 would take you about one million, seven hundred forty-eight thousand, six hundred ninety-six 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 21998327036400 cubic inches would be around 2335 feet tall.
Recreational maths with 21998327036400
- 21998327036400 backwards is 00463072389912
- 21998327036400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 21998327036400's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 21998327036400 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 21998327036400 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/21998327036400/
Chicago style:
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The information we have on file for 21998327036400 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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