220309642972869120
220,309,642,972,869,120 is an even composite number composed of five prime numbers multiplied together.
What does the number 220309642972869120 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 480 divisors.
220309642972869120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 220309642972869120:
29 × 35 × 5 × 11 × 32195456149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 32195456149)See below for interesting mathematical facts about the number 220309642972869120 from the Numbermatics database.
Names of 220309642972869120
- Cardinal: 220309642972869120 can be written as Two hundred twenty quadrillion, three hundred nine trillion, six hundred forty-two billion, nine hundred seventy-two million, eight hundred sixty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.2030964297286912 × 1017
Factors of 220309642972869120
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 32195456170
Divisors of 220309642972869120
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 81 88 90 96 99 108 110 120 128 132 135 144 160 162 165 176 180 192 198 216 220 240 243 256 264 270 288 297 320 324 330 352 360 384 396 405 432 440 480 486 495 512 528 540 576 594 640 648 660 704 720 768 792 810 864 880 891 960 972 990 1056 1080 1152 1188 1215 1280 1296 1320 1408 1440 1485 1536 1584 1620 1728 1760 1782 1920 1944 1980 2112 2160 2304 2376 2430 2560 2592 2640 2673 2816 2880 2970 3168 3240 3456 3520 3564 3840 3888 3960 4224 4320 4455 4608 4752 4860 5184 5280 5346 5632 5760 5940 6336 6480 6912 7040 7128 7680 7776 7920 8448 8640 8910 9504 9720 10368 10560 10692 11520 11880 12672 12960 13365 13824 14080 14256 15552 15840 16896 17280 17820 19008 19440 20736 21120 21384 23040 23760 25344 25920 26730 28160 28512 31104 31680 34560 35640 38016 38880 41472 42240 42768 47520 50688 51840 53460 57024 62208 63360 69120 71280 76032 77760 84480 85536 95040 103680 106920 114048 124416 126720 142560 152064 155520 171072 190080 207360 213840 228096 253440 285120 311040 342144 380160 427680 456192 570240 622080 684288 760320 855360 1140480 1368576 1710720 2280960 3421440 6842880 32195456149 64390912298 96586368447 128781824596 160977280745 193172736894 257563649192 289759105341 321954561490 354150017639 386345473788 482931842235 515127298384 579518210682 643909122980 708300035278 772690947576 869277316023 965863684470 1030254596768 1062450052917 1159036421364 1287818245960 1416600070556 1448795526705 1545381895152 1738554632046 1770750088195 1931727368940 2060509193536 2124900105834 2318072842728 2575636491920 2607831948069 2833200141112 2897591053410 3090763790304 3187350158751 3477109264092 3541500176390 3863454737880 4121018387072 4249800211668 4346386580115 4636145685456 5151272983840 5215663896138 5312250264585 5666400282224 5795182106820 6181527580608 6374700317502 6954218528184 7083000352780 7726909475760 7823495844207 8242036774144 8499600423336 8692773160230 9272291370912 9562050476253 10302545967680 10431327792276 10624500529170 11332800564448 11590364213640 12363055161216 12749400635004 13039159740345 13908437056368 14166000705560 15453818951520 15646991688414 15936750793755 16484073548288 16999200846672 17385546320460 18544582741824 19124100952506 20605091935360 20862655584552 21249001058340 22665601128896 23180728427280 24726110322432 25498801270008 26078319480690 27816874112736 28332001411120 28686151428759 30907637903040 31293983376828 31873501587510 33998401693344 34771092640920 37089165483648 38248201905012 39117479221035 41210183870720 41725311169104 42498002116680 45331202257792 46361456854560 47810252381265 49452220644864 50997602540016 52156638961380 55633748225472 56664002822240 57372302857518 61815275806080 62587966753656 63747003175020 67996803386688 69542185281840 74178330967296 76496403810024 78234958442070 82420367741440 83450622338208 84996004233360 86058454286277 90662404515584 92722913709120 95620504762530 101995205080032 104313277922760 111267496450944 113328005644480 114744605715036 123630551612160 125175933507312 127494006350040 135993606773376 139084370563680 143430757143795 148356661934592 152992807620048 156469916884140 166901244676416 169992008466720 172116908572554 181324809031168 185445827418240 191241009525060 203990410160064 208626555845520 222534992901888 226656011288960 229489211430072 247261103224320 250351867014624 254988012700080 271987213546752 278168741127360 286861514287590 305985615240096 312939833768280 333802489352832 339984016933440 344233817145108 370891654836480 382482019050120 407980820320128 417253111691040 430292271431385 445069985803776 453312022577920 458978422860144 500703734029248 509976025400160 543974427093504 556337482254720 573723028575180 611971230480192 625879667536560 667604978705664 679968033866880 688467634290216 741783309672960 764964038100240 815961640640256 834506223382080 860584542862770 906624045155840 917956845720288 1001407468058496 1019952050800320 1112674964509440 1147446057150360 1223942460960384 1251759335073120 1335209957411328 1359936067733760 1376935268580432 1529928076200480 1631923281280512 1669012446764160 1721169085725540 1835913691440576 2002814936116992 2039904101600640 2225349929018880 2294892114300720 2447884921920768 2503518670146240 2719872135467520 2753870537160864 3059856152400960 3338024893528320 3442338171451080 3671827382881152 4005629872233984 4079808203201280 4589784228601440 4895769843841536 5007037340292480 5507741074321728 6119712304801920 6676049787056640 6884676342902160 7343654765762304 8159616406402560 9179568457202880 10014074680584960 11015482148643456 12239424609603840 13769352685804320 14687309531524608 18359136914405760 20028149361169920 22030964297286912 24478849219207680 27538705371608640 36718273828811520 44061928594573824 55077410743217280 73436547657623040 110154821486434560 220309642972869120
- Sum of all divisors σ(n): 863185420619121600
- Sum of proper divisors (its aliquot sum) s(n): 642875777646252480
- 220309642972869120 is an abundant number, because the sum of its proper divisors (642875777646252480) is greater than itself. Its abundance is 422566134673383360
Bases of 220309642972869120
- Binary: 11000011101011001001110011111110011111110110110010000000002
- Hexadecimal: 0x30EB273F9FDB200
- Base-36: 1O9990RZMO00
Squares and roots of 220309642972869120
- 220309642972869120 squared (2203096429728691202) is 48536338786833060026584404649574400
- 220309642972869120 cubed (2203096429728691203) is 10693023469337410971789467366101217873520154902528000
-
The
square root of 220309642972869120 is 469371540.4377103049 -
The
cube root of 220309642972869120 is 603964.1615184899
Scales and comparisons
How big is 220309642972869120?- 220,309,642,972,869,120 seconds is equal to 7,005,165,184 years, 3 weeks, 3 days, 19 hours, 12 minutes.
-
To count from 1 to 220,309,642,972,869,120 would take you about twenty-one billion, fifteen million, four hundred ninety-five thousand, five hundred fifty-two 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 220309642972869120 cubic inches would be around 50330.3 feet tall.
Recreational maths with 220309642972869120
- 220309642972869120 backwards is 021968279246903022
- 220309642972869120 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 220309642972869120's digits is 72
- 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 220309642972869120 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 220309642972869120 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/220309642972869120/
Chicago style:
Numbermatics. 2024. "Number 220309642972869120 - Facts about the integer". https://numbermatics.com/n/220309642972869120/
The information we have on file for 220309642972869120 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 220309642972869120, math, Factors of 220309642972869120, curriculum, school, college, exams, university, Prime factorization of 220309642972869120, STEM, science, technology, engineering, physics, economics, calculator, two hundred twenty quadrillion, three hundred nine trillion, six hundred forty-two billion, nine hundred seventy-two million, eight hundred sixty-nine thousand, one hundred twenty.