21985804838400
21,985,804,838,400 is an even composite number composed of seven prime numbers multiplied together.
21985804838400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 21985804838400:
29 × 3 × 52 × 13 × 41 × 617 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 41 × 617 × 1741)See below for interesting mathematical facts about the number 21985804838400 from the Numbermatics database.
Names of 21985804838400
- Cardinal: 21985804838400 can be written as Twenty-one trillion, nine hundred eighty-five billion, eight hundred four million, eight hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.19858048384 × 1013
Factors of 21985804838400
Divisors of 21985804838400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 41 48 50 52 60 64 65 75 78 80 82 96 100 104 120 123 128 130 150 156 160 164 192 195 200 205 208 240 246 256 260 300 312 320 325 328 384 390 400 410 416 480 492 512 520 533 600 615 617 624 640 650 656 768 780 800 820 832 960 975 984 1025 1040 1066 1200 1230 1234 1248 1280 1300 1312 1536 1560 1599 1600 1640 1664 1741 1851 1920 1950 1968 2050 2080 2132 2400 2460 2468 2496 2560 2600 2624 2665 3075 3085 3120 3198 3200 3280 3328 3482 3702 3840 3900 3936 4100 4160 4264 4800 4920 4936 4992 5200 5223 5248 5330 6150 6170 6240 6396 6400 6560 6656 6964 7404 7680 7800 7872 7995 8021 8200 8320 8528 8705 9255 9600 9840 9872 9984 10400 10446 10496 10660 12300 12340 12480 12792 12800 13120 13325 13928 14808 15425 15600 15744 15990 16042 16400 16640 17056 17410 18510 19200 19680 19744 19968 20800 20892 20992 21320 22633 24063 24600 24680 24960 25297 25584 26115 26240 26650 27856 29616 30850 31200 31488 31980 32084 32800 33280 34112 34820 37020 38400 39360 39488 39975 40105 41600 41784 42640 43525 45266 46275 48126 49200 49360 49920 50594 51168 52230 52480 53300 55712 59232 61700 62400 62976 63960 64168 65600 67899 68224 69640 71381 74040 75891 78720 78976 79950 80210 83200 83568 85280 87050 90532 92550 96252 98400 98720 99840 101188 102336 104460 104960 106600 111424 113165 118464 120315 123400 124800 126485 127920 128336 130575 131200 135798 136448 139280 142762 148080 151782 157440 157952 159900 160420 166400 167136 170560 174100 181064 185100 192504 196800 197440 200525 202376 204672 208920 213200 214143 222848 226330 236928 240630 246800 249600 252970 255840 256672 261150 262400 271596 272896 278560 285524 296160 303564 314880 315904 319800 320840 328861 334272 339495 341120 348200 356905 362128 370200 379455 385008 393600 394880 401050 404752 409344 417840 426400 428286 445696 452660 473856 481260 493600 499200 505940 511680 513344 522300 524800 543192 557120 565825 571048 592320 601575 607128 632425 639600 641680 657722 668544 678990 682240 696400 713810 724256 740400 758910 770016 787200 789760 802100 809504 818688 835680 852800 856572 891392 905320 927953 947712 962520 986583 987200 1011880 1023360 1026688 1044600 1070715 1074197 1086384 1114240 1131650 1142096 1184640 1203150 1214256 1264850 1279200 1283360 1315444 1337088 1357980 1364480 1392800 1427620 1448512 1480800 1517820 1540032 1574400 1579520 1604200 1619008 1644305 1671360 1697475 1705600 1713144 1784525 1810640 1855906 1897275 1925040 1973166 1974400 2023760 2046720 2053376 2089200 2141430 2148394 2172768 2228480 2263300 2284192 2369280 2406300 2428512 2529700 2558400 2566720 2630888 2674176 2715960 2783859 2785600 2855240 2897024 2961600 3035640 3080064 3208400 3222591 3238016 3288610 3342720 3394950 3411200 3426288 3569050 3621280 3711812 3794550 3850080 3946332 3948800 4047520 4093440 4106752 4178400 4282860 4296788 4345536 4456960 4526600 4568384 4639765 4738560 4812600 4857024 4932915 5059400 5116800 5133440 5261776 5353575 5370985 5431920 5567718 5571200 5710480 5794048 5923200 6071280 6160128 6416800 6445182 6476032 6577220 6685440 6789900 6822400 6852576 7138100 7242560 7423624 7589100 7700160 7892664 7897600 8095040 8221525 8356800 8565720 8593576 8691072 9053200 9136768 9279530 9625200 9714048 9865830 10118800 10233600 10266880 10523552 10707150 10741970 10863840 11135436 11142400 11420960 11588096 11846400 12142560 12320256 12833600 12890364 12952064 13154440 13370880 13579800 13705152 13919295 13964561 14276200 14485120 14847248 15178200 15400320 15785328 16112955 16190080 16443050 16713600 17131440 17187152 17382144 18106400 18273536 18559060 19250400 19428096 19731660 20237600 20467200 20533760 21047104 21414300 21483940 21727680 22270872 22284800 22841920 23198825 23692800 24285120 24664575 25667200 25780728 26308880 26854925 27159600 27410304 27838590 27929122 28552400 28970240 29694496 30356400 30800640 31570656 32225910 32380160 32886100 33427200 34262880 34374304 34764288 36212800 36547072 37118120 38500800 38856192 39463320 40475200 41893683 42094208 42828600 42967880 43455360 44042077 44541744 45683840 46397650 48570240 49329150 51334400 51561456 52617760 53709850 54319200 54820608 55677180 55858244 57104800 57940480 59388992 60712800 61601280 63141312 64451820 64760320 65772200 66854400 68525760 68748608 69596475 69822805 72425600 74236240 77001600 78926640 80564775 80950400 83787366 84188416 85657200 85935760 86910720 88084154 89083488 91367680 92795300 97140480 98658300 102668800 103122912 105235520 107419700 108638400 109641216 111354360 111716488 114209600 118777984 121425600 126282624 128903640 131544400 132126231 137051520 137497216 139192950 139645610 144851200 148472480 154003200 157853280 161129550 161900800 167574732 168376832 171314400 171871520 173821440 176168308 178166976 182735360 185590600 194280960 197316600 206245824 209468415 210471040 214839400 217276800 220210385 222708720 223432976 228419200 237555968 242851200 252565248 257807280 263088800 264252462 274103040 274994432 278385900 279291220 289702400 296944960 308006400 315706560 322259100 323801600 335149464 342628800 343743040 349114025 352336616 356333952 371181200 394633200 412491648 418936830 420942080 429678800 434553600 440420770 445417440 446865952 456838400 475111936 485702400 505130496 515614560 526177600 528504924 548206080 549988864 556771800 558582440 572547001 593889920 631413120 644518200 660631155 670298928 685257600 687486080 698228050 704673232 712667904 742362400 789266400 824983296 837873660 841884160 859357600 869107200 880841540 890834880 893731904 913676800 971404800 1031229120 1047342075 1052355200 1057009848 1101051925 1113543600 1117164880 1145094002 1187779840 1262826240 1289036400 1321262310 1340597856 1370515200 1374972160 1396456100 1409346464 1425335808 1484724800 1578532800 1649966592 1675747320 1717641003 1718715200 1761683080 1781669760 1787463808 2062458240 2094684150 2104710400 2114019696 2202103850 2227087200 2234329760 2290188004 2375559680 2525652480 2578072800 2642524620 2681195712 2741030400 2749944320 2792912200 2818692928 2862735005 2969449600 3157065600 3303155775 3351494640 3435282006 3437430400 3523366160 3563339520 3574927616 4124916480 4189368300 4209420800 4228039392 4404207700 4454174400 4468659520 4580376008 5156145600 5285049240 5362391424 5585824400 5637385856 5725470010 5938899200 6314131200 6606311550 6702989280 6870564012 6874860800 7046732320 7126679040 7149855232 8249832960 8378736600 8456078784 8588205015 8808415400 8908348800 8937319040 9160752016 10312291200 10570098480 10724782848 11171648800 11274771712 11450940020 11877798400 12628262400 13212623100 13405978560 13741128024 13749721600 14093464640 14313675025 16757473200 16912157568 17176410030 17616830800 17816697600 17874638080 18321504032 20624582400 21140196960 21449565696 22343297600 22549543424 22901880040 26425246200 26811957120 27482256048 28186929280 28627350050 33514946400 33824315136 34352820060 35233661600 35633395200 35749276160 36643008064 41249164800 42280393920 42941025075 44686595200 45803760080 52850492400 53623914240 54964512096 56373858560 57254700100 67029892800 67648630272 68705640120 70467323200 73286016128 84560787840 85882050150 89373190400 91607520160 105700984800 107247828480 109929024192 112747717120 114509400200 134059785600 137411280240 140934646400 146572032256 169121575680 171764100300 178746380800 183215040320 211401969600 219858048384 229018800400 268119571200 274822560480 281869292800 293144064512 338243151360 343528200600 366430080640 422803939200 439716096768 458037600800 536239142400 549645120960 563738585600 687056401200 732860161280 845607878400 879432193536 916075201600 1099290241920 1374112802400 1465720322560 1691215756800 1832150403200 2198580483840 2748225604800 3664300806400 4397160967680 5496451209600 7328601612800 10992902419200 21985804838400
- Sum of all divisors σ(n): 80299209646656
- Sum of proper divisors (its aliquot sum) s(n): 58313404808256
- 21985804838400 is an abundant number, because the sum of its proper divisors (58313404808256) is greater than itself. Its abundance is 36327599969856
Bases of 21985804838400
- Binary: 1001111111110111110000001011001100110000000002
- Hexadecimal: 0x13FEF8166600
- Base-36: 7SK50JL6O
Squares and roots of 21985804838400
- 21985804838400 squared (219858048384002) is 483375614392212850114560000
- 21985804838400 cubed (219858048384003) is 10627401921668885955331347242287104000000
-
The
square root of 21985804838400 is 4688902.3063399391 -
The
cube root of 21985804838400 is 28014.3654339785
Scales and comparisons
How big is 21985804838400?- 21,985,804,838,400 seconds is equal to 699,080 years, 30 weeks, 3 days, 18 hours, 40 minutes.
-
To count from 1 to 21,985,804,838,400 would take you about one million, seven hundred forty-seven thousand, seven hundred 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 21985804838400 cubic inches would be around 2334.5 feet tall.
Recreational maths with 21985804838400
- 21985804838400 backwards is 00483840858912
- 21985804838400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 21985804838400's digits is 60
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 21985804838400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 21985804838400 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/21985804838400/
Chicago style:
Numbermatics. 2024. "Number 21985804838400 - Facts about the integer". https://numbermatics.com/n/21985804838400/
The information we have on file for 21985804838400 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!
Keywords: Divisors of 21985804838400, math, Factors of 21985804838400, curriculum, school, college, exams, university, Prime factorization of 21985804838400, STEM, science, technology, engineering, physics, economics, calculator, twenty-one trillion, nine hundred eighty-five billion, eight hundred four million, eight hundred thirty-eight thousand, four hundred.