220013414222400
220,013,414,222,400 is an even composite number composed of six prime numbers multiplied together.
220013414222400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 220013414222400:
26 × 38 × 52 × 312 × 113 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 31 × 31 × 113 × 193)See below for interesting mathematical facts about the number 220013414222400 from the Numbermatics database.
Names of 220013414222400
- Cardinal: 220013414222400 can be written as Two hundred twenty trillion, thirteen billion, four hundred fourteen million, two hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.200134142224 × 1014
Factors of 220013414222400
Divisors of 220013414222400
- Number of divisors d(n): 2268
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 81 90 93 96 100 108 113 120 124 135 144 150 155 160 162 180 186 192 193 200 216 225 226 240 243 248 270 279 288 300 310 320 324 339 360 372 386 400 405 432 450 452 465 480 486 496 540 558 565 576 579 600 620 648 675 678 720 729 744 772 775 800 810 837 864 900 904 930 960 961 965 972 992 1017 1080 1116 1130 1158 1200 1215 1240 1296 1350 1356 1395 1440 1458 1488 1544 1550 1600 1620 1674 1695 1728 1737 1800 1808 1860 1922 1930 1944 1984 2025 2034 2160 2187 2232 2260 2316 2325 2400 2430 2480 2511 2592 2700 2712 2790 2825 2880 2883 2895 2916 2976 3051 3088 3100 3240 3348 3390 3474 3503 3600 3616 3645 3720 3844 3860 3888 4050 4068 4185 4320 4374 4464 4520 4632 4650 4800 4805 4825 4860 4960 5022 5085 5184 5211 5400 5424 5580 5650 5766 5790 5832 5952 5983 6075 6102 6176 6200 6480 6561 6696 6780 6948 6975 7006 7200 7232 7290 7440 7533 7688 7720 7776 8100 8136 8370 8475 8640 8649 8685 8748 8928 9040 9153 9264 9300 9610 9650 9720 9920 10044 10170 10422 10509 10800 10848 10935 11160 11300 11532 11580 11664 11966 12150 12204 12352 12400 12555 12960 13122 13392 13560 13896 13950 14012 14400 14415 14475 14580 14880 15066 15255 15376 15440 15552 15633 16200 16272 16740 16950 17298 17370 17496 17515 17856 17949 18080 18225 18306 18528 18600 19220 19300 19440 20088 20340 20844 20925 21018 21600 21696 21809 21870 22320 22599 22600 23064 23160 23328 23932 24025 24300 24408 24800 25110 25425 25920 25947 26055 26244 26784 27120 27459 27792 27900 28024 28830 28950 29160 29760 29915 30132 30510 30752 30880 31266 31527 32400 32544 32805 33480 33900 34596 34740 34992 35030 35898 36160 36450 36612 37056 37200 37665 38440 38600 38880 40176 40680 41688 41850 42036 43200 43245 43425 43618 43740 44640 45198 45200 45765 46128 46320 46656 46899 47864 48050 48600 48816 49600 50220 50850 51894 52110 52488 52545 53568 53847 54240 54675 54918 55584 55800 56048 57660 57900 58320 59830 60264 61020 61504 61760 62532 62775 63054 64800 65088 65427 65610 66960 67797 67800 69192 69480 69984 70060 71796 72075 72900 73224 74400 75330 76275 76880 77200 77760 77841 78165 80352 81360 82377 83376 83700 84072 86490 86850 87236 87480 87575 89280 89745 90396 90400 91530 92256 92640 93798 94581 95728 96100 97200 97632 100440 101700 103788 104220 104976 105090 107694 108480 108593 109045 109350 109836 111168 111600 112096 112995 115320 115800 116640 119660 120528 122040 125064 125550 126108 129600 129735 130275 130854 131220 133920 135594 135600 137295 138384 138960 139968 140120 140697 143592 144150 145800 146448 148800 149575 150660 152550 153760 154400 155682 156330 157635 160704 161541 162720 164025 164754 166752 167400 168144 172980 173700 174472 174960 175150 179490 180792 180800 183060 184512 185280 185473 187596 188325 189162 191456 192200 194400 195264 196281 200880 203391 203400 207576 208440 209952 210180 215388 216225 217186 218090 218700 219672 223200 224192 225990 228825 230640 231600 233280 233523 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10952479800 11317562460 11399658768 11447107920 11828678184 11874644550 12018650400 12072066624 12168883530 12257697600 12321539775 12561428160 12575069400 12666287520 12719008800 12980142432 13142975760 13520981700 13581074952 14073652800 14146953075 14249573460 14308884900 14422380480 14603306400 14785847730 15090083280 15199545024 15262810560 15278709321 15701785200 15771570912 15832859400 16225178040 16428719700 16766759200 16976343690 17523967680 17743017276 17811966825 18027975600 18108099936 18386546400 18862604100 18999431280 19078513200 19470213648 19714463640 20120111040 20281472550 20371612428 20935713600 21110479200 21633570720 21904959600 22178771595 22635124920 22799317536 22894215840 23657356368 23749289100 24037300800 24337767060 24643079550 25150138800 25332575040 25438017600 25464515535 25960284864 26285951520 27041963400 27162149904 28293906150 28499146920 28617769800 29206612800 29571695460 30180166560 30422208825 30557418642 31403570400 31543141824 31665718800 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131429757600 135810749520 137508383889 141944138208 142495734600 147858477300 150900832800 152787093210 157715709120 162251780400 162972899424 169763436900 177430172760 181080999360 183344511852 189994312800 194702136480 197144636400 203716124280 216335707200 221787715950 226351249200 227993175360 228942158400 229180639815 236573563680 243377670600 244459349136 254645155350 262859515200 271621499040 275016767778 283888276416 284991469200 295716954600 301801665600 305574186420 324503560800 325945798848 339526873800 354860345520 366689023704 379988625600 381967733025 389404272960 394289272800 407432248560 443575431900 452702498400 458361279630 473147127360 486755341200 488918698272 509290310700 543242998080 550033535556 569982938400 591433909200 611148372840 649007121600 679053747600 687541919445 709720691040 733378047408 763935466050 788578545600 814864497120 887150863800 905404996800 916722559260 973510682400 977837396544 1018580621400 1100067071112 1139965876800 1145903199075 1182867818400 1222296745680 1358107495200 1375083838890 1419441382080 1466756094816 1527870932100 1629728994240 1774301727600 1833445118520 1947021364800 2037161242800 2200134142224 2291806398150 2365735636800 2444593491360 2716214990400 2750167677780 2933512189632 3055741864200 3437709597225 3548603455200 3666890237040 4074322485600 4400268284448 4583612796300 4889186982720 5500335355560 6111483728400 6875419194450 7097206910400 7333780474080 8148644971200 8800536568896 9167225592600 11000670711120 12222967456800 13750838388900 14667560948160 18334451185200 22001341422240 24445934913600 27501676777800 36668902370400 44002682844480 55003353555600 73337804740800 110006707111200 220013414222400
- Sum of all divisors σ(n): 850864641212196
- Sum of proper divisors (its aliquot sum) s(n): 630851226989796
- 220013414222400 is an abundant number, because the sum of its proper divisors (630851226989796) is greater than itself. Its abundance is 410837812767396
Bases of 220013414222400
- Binary: 1100100000011001110111010110011010001010010000002
- Hexadecimal: 0xC819DD668A40
- Base-36: 25ZKRM9000
Squares and roots of 220013414222400
- 220013414222400 squared (2200134142224002) is 48405902437797362596661760000
- 220013414222400 cubed (2200134142224003) is 10649947863856193087253592262346215424000000
-
The
square root of 220013414222400 is 14832849.1606434129 -
The
cube root of 220013414222400 is 60369.3342994313
Scales and comparisons
How big is 220013414222400?- 220,013,414,222,400 seconds is equal to 6,995,746 years, 1 week, 2 days, 12 hours.
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To count from 1 to 220,013,414,222,400 would take you about seventeen million, four hundred eighty-nine thousand, three hundred sixty-five 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 220013414222400 cubic inches would be around 5030.8 feet tall.
Recreational maths with 220013414222400
- 220013414222400 backwards is 004222414310022
- 220013414222400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 220013414222400's digits is 27
- More coming soon!
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The information we have on file for 220013414222400 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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