21642193048166400
21,642,193,048,166,400 is an even composite number composed of six prime numbers multiplied together.
21642193048166400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 21642193048166400:
213 × 3 × 52 × 127 × 1901 × 145903
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 127 × 1901 × 145903)See below for interesting mathematical facts about the number 21642193048166400 from the Numbermatics database.
Names of 21642193048166400
- Cardinal: 21642193048166400 can be written as Twenty-one quadrillion, six hundred forty-two trillion, one hundred ninety-three billion, forty-eight million, one hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 2.16421930481664 × 1016
Factors of 21642193048166400
Divisors of 21642193048166400
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 127 128 150 160 192 200 240 254 256 300 320 381 384 400 480 508 512 600 635 640 762 768 800 960 1016 1024 1200 1270 1280 1524 1536 1600 1901 1905 1920 2032 2048 2400 2540 2560 3048 3072 3175 3200 3802 3810 3840 4064 4096 4800 5080 5120 5703 6096 6144 6350 6400 7604 7620 7680 8128 8192 9505 9525 9600 10160 10240 11406 12192 12288 12700 12800 15208 15240 15360 16256 19010 19050 19200 20320 20480 22812 24384 24576 25400 25600 28515 30416 30480 30720 32512 38020 38100 38400 40640 40960 45624 47525 48768 50800 51200 57030 60832 60960 61440 65024 76040 76200 76800 81280 91248 95050 97536 101600 102400 114060 121664 121920 122880 130048 142575 145903 152080 152400 153600 162560 182496 190100 195072 203200 204800 228120 241427 243328 243840 260096 285150 291806 304160 304800 307200 325120 364992 380200 390144 406400 437709 456240 482854 486656 487680 520192 570300 583612 608320 609600 614400 650240 724281 729515 729984 760400 780288 812800 875418 912480 965708 973312 975360 1040384 1140600 1167224 1207135 1216640 1219200 1300480 1448562 1459030 1459968 1520800 1560576 1625600 1750836 1824960 1931416 1946624 1950720 2188545 2281200 2334448 2414270 2433280 2438400 2600960 2897124 2918060 2919936 3041600 3121152 3251200 3501672 3621405 3647575 3649920 3862832 3893248 3901440 4377090 4562400 4668896 4828540 4866560 4876800 5201920 5794248 5836120 5839872 6035675 6083200 6502400 7003344 7242810 7295150 7299840 7725664 7786496 7802880 8754180 9124800 9337792 9657080 9733120 9753600 10942725 11588496 11672240 11679744 12071350 12166400 13004800 14006688 14485620 14590300 14599680 15451328 15572992 15605760 17508360 18107025 18249600 18529681 18675584 19314160 19466240 19507200 21885450 23176992 23344480 23359488 24142700 24332800 26009600 28013376 28971240 29180600 29199360 30902656 35016720 36214050 36499200 37059362 37351168 38628320 38932480 39014400 43770900 46353984 46688960 46718976 48285400 48665600 55589043 56026752 57942480 58361200 58398720 61805312 70033440 72428100 72998400 74118724 74702336 77256640 77864960 78028800 87541800 92648405 92707968 93377920 96570800 97331200 111178086 112053504 115884960 116722400 116797440 123610624 140066880 144856200 145996800 148237448 149404672 154513280 175083600 185296810 185415936 186755840 193141600 194662400 222356172 224107008 231769920 233444800 233594880 247221248 277361603 277945215 280133760 289712400 291993600 296474896 298809344 309026560 350167200 370593620 370831872 373511680 386283200 389324800 444712344 448214016 463242025 463539840 466889600 494442496 554723206 555890430 560267520 579424800 583987200 592949792 597618688 618053120 700334400 741187240 741663744 747023360 772566400 832084809 889424688 896428032 926484050 927079680 933779200 988884992 1109446412 1111780860 1120535040 1158849600 1167974400 1185899584 1195237376 1236106240 1386808015 1389726075 1400668800 1482374480 1483327488 1494046720 1545132800 1664169618 1778849376 1792856064 1852968100 1854159360 1867558400 1977769984 2218892824 2223561720 2241070080 2317699200 2371799168 2472212480 2773616030 2779452150 2801337600 2964748960 2966654976 2988093440 3090265600 3328339236 3557698752 3585712128 3705936200 3708318720 3735116800 4160424045 4437785648 4447123440 4482140160 4635398400 4743598336 4944424960 5547232060 5558904300 5602675200 5929497920 5933309952 5976186880 6180531200 6656678472 6934040075 7115397504 7411872400 7416637440 7470233600 8320848090 8875571296 8894246880 8964280320 9270796800 9487196672 9888849920 11094464120 11117808600 11205350400 11858995840 12361062400 13313356944 13868080150 14230795008 14823744800 14833274880 14940467200 16641696180 17751142592 17788493760 17928560640 18541593600 18974393344 20802120225 22188928240 22235617200 22410700800 23717991680 24722124800 26626713888 27736160300 28461590016 29647489600 29666549760 29880934400 33283392360 35224923581 35502285184 35576987520 37083187200 37948786688 41604240450 44377856480 44471234400 44821401600 47435983360 49444249600 53253427776 55472320600 56923180032 59294979200 66566784720 70449847162 71004570368 71153975040 74166374400 75897573376 83208480900 88755712960 88942468800 89642803200 94871966720 105674770743 106506855552 110944641200 113846360064 118589958400 133133569440 140899694324 142009140736 142307950080 148332748800 151795146752 166416961800 176124617905 177511425920 177884937600 189743933440 211349541486 213013711104 221889282400 227692720128 237179916800 266267138880 281799388648 284018281472 284615900160 332833923600 352249235810 355022851840 355769875200 379487866880 422699082972 426027422208 443778564800 455385440256 474359833600 528373853715 532534277760 563598777296 568036562944 569231800320 665667847200 704498471620 710045703680 711539750400 758975733760 845398165944 852054844416 880623089525 887557129600 948719667200 1056747707430 1065068555520 1127197554592 1136073125888 1138463600640 1331335694400 1408996943240 1420091407360 1423079500800 1690796331888 1704109688832 1761246179050 1775114259200 1897439334400 2113495414860 2130137111040 2254395109184 2272146251776 2276927201280 2641869268575 2662671388800 2817993886480 2840182814720 2846159001600 3381592663776 3408219377664 3522492358100 3550228518400 3794878668800 4226990829720 4260274222080 4508790218368 5283738537150 5325342777600 5635987772960 5680365629440 5692318003200 6763185327552 6816438755328 7044984716200 7100457036800 8453981659440 8520548444160 9017580436736 10567477074300 10650685555200 11271975545920 11360731258880 11384636006400 13526370655104 14089969432400 14200914073600 16907963318880 17041096888320 18035160873472 21134954148600 21301371110400 22543951091840 27052741310208 28179938864800 28401828147200 33815926637760 34082193776640 36070321746944 42269908297200 42602742220800 45087902183680 54105482620416 56359877729600 56803656294400 67631853275520 72140643493888 84539816594400 85205484441600 90175804367360 108210965240832 112719755459200 135263706551040 144281286987776 169079633188800 170410968883200 180351608734720 216421930481664 225439510918400 270527413102080 288562573975552 338159266377600 360703217469440 432843860963328 450879021836800 541054826204160 676318532755200 721406434938880 865687721926656 901758043673600 1082109652408320 1352637065510400 1442812869877760 1803516087347200 2164219304816640 2705274131020800 3607032174694400 4328438609633280 5410548262041600 7214064349388800 10821096524083200 21642193048166400
- Sum of all divisors σ(n): 72161042211422208
- Sum of proper divisors (its aliquot sum) s(n): 50518849163255808
- 21642193048166400 is an abundant number, because the sum of its proper divisors (50518849163255808) is greater than itself. Its abundance is 28876656115089408
Bases of 21642193048166400
- Binary: 10011001110001101110101101111001100101111100000000000002
- Hexadecimal: 0x4CE375BCCBE000
- Base-36: 5X3IM8C0GLC
Squares and roots of 21642193048166400
- 21642193048166400 squared (216421930481664002) is 468384519934102052150402088960000
- 21642193048166400 cubed (216421930481664003) is 10136868201186580035289000121572616457682944000000
-
The
square root of 21642193048166400 is 147112858.2013360245 -
The
cube root of 21642193048166400 is 278676.5479805179
Scales and comparisons
How big is 21642193048166400?- 21,642,193,048,166,400 seconds is equal to 688,154,795 years, 12 weeks, 21 hours, 20 minutes.
-
To count from 1 to 21,642,193,048,166,400 would take you about two billion, sixty-four million, four hundred sixty-four thousand, three hundred eighty-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 21642193048166400 cubic inches would be around 23223 feet tall.
Recreational maths with 21642193048166400
- 21642193048166400 backwards is 00466184039124612
- The number of decimal digits it has is: 17
- The sum of 21642193048166400's digits is 57
- 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 21642193048166400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 21642193048166400 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/21642193048166400/
Chicago style:
Numbermatics. 2024. "Number 21642193048166400 - Facts about the integer". https://numbermatics.com/n/21642193048166400/
The information we have on file for 21642193048166400 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 21642193048166400, math, Factors of 21642193048166400, curriculum, school, college, exams, university, Prime factorization of 21642193048166400, STEM, science, technology, engineering, physics, economics, calculator, twenty-one quadrillion, six hundred forty-two trillion, one hundred ninety-three billion, forty-eight million, one hundred sixty-six thousand, four hundred.