13120845189350400
13,120,845,189,350,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 13120845189350400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2772 divisors.
13120845189350400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, seven hundred seventy-two divisors.
Prime factorization of 13120845189350400:
210 × 36 × 52 × 413 × 1012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 41 × 41 × 41 × 101 × 101)See below for interesting mathematical facts about the number 13120845189350400 from the Numbermatics database.
Names of 13120845189350400
- Cardinal: 13120845189350400 can be written as Thirteen quadrillion, one hundred twenty trillion, eight hundred forty-five billion, one hundred eighty-nine million, three hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.31208451893504 × 1016
Factors of 13120845189350400
Divisors of 13120845189350400
- Number of divisors d(n): 2772
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 45 48 50 54 60 64 72 75 80 81 82 90 96 100 101 108 120 123 128 135 144 150 160 162 164 180 192 200 202 205 216 225 240 243 246 256 270 288 300 303 320 324 328 360 369 384 400 404 405 410 432 450 480 486 492 505 512 540 576 600 606 615 640 648 656 675 720 729 738 768 800 808 810 820 864 900 909 960 972 984 1010 1024 1025 1080 1107 1152 1200 1212 1215 1230 1280 1296 1312 1350 1440 1458 1476 1515 1536 1600 1616 1620 1640 1681 1728 1800 1818 1845 1920 1944 1968 2020 2025 2050 2160 2214 2304 2400 2424 2430 2460 2525 2560 2592 2624 2700 2727 2880 2916 2952 3030 3072 3075 3200 3232 3240 3280 3321 3362 3456 3600 3636 3645 3690 3840 3888 3936 4040 4050 4100 4141 4320 4428 4545 4608 4800 4848 4860 4920 5043 5050 5120 5184 5248 5400 5454 5535 5760 5832 5904 6060 6075 6150 6400 6464 6480 6560 6642 6724 6912 7200 7272 7290 7380 7575 7680 7776 7872 8080 8100 8181 8200 8282 8405 8640 8856 9090 9216 9225 9600 9696 9720 9840 9963 10086 10100 10201 10368 10496 10800 10908 11070 11520 11664 11808 12120 12150 12300 12423 12800 12928 12960 13120 13284 13448 13635 13824 14400 14544 14580 14760 15129 15150 15360 15552 15744 16160 16200 16362 16400 16564 16605 16810 17280 17712 18180 18225 18450 19200 19392 19440 19680 19926 20172 20200 20402 20705 20736 20992 21600 21816 22140 22725 23040 23328 23616 24240 24300 24543 24600 24846 25215 25600 25856 25920 26240 26568 26896 27270 27648 27675 28800 29088 29160 29520 29889 30258 30300 30603 31104 31488 32320 32400 32724 32800 33128 33210 33620 34560 35424 36360 36450 36900 37269 38400 38784 38880 39360 39852 40344 40400 40804 40905 41410 41472 41984 42025 43200 43632 44280 45387 45450 46080 46656 47232 48480 48600 49086 49200 49692 49815 50430 51005 51712 51840 52480 53136 53792 54540 55350 57600 58176 58320 59040 59778 60516 60600 61206 62115 62208 62976 64640 64800 65448 65600 66256 66420 67240 68175 68921 69120 70848 72720 72900 73629 73800 74538 75645 76800 77568 77760 78720 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168735149040 169152810300 170844338403 173452907520 176028940800 177789230208 178202137600 179984158976 180429664320 185197114800 189827042670 190375142400 192458308608 195134520960 197543589120 198032558400 200012883984 200477404800 202482178848 202983372360 208346754150 210918936300 211234728960 214371878400 216515597184 216816134400 219492876800 222236537760 224980198720 225537080400 227792451204 237052306944 240572885760 243918151200 246929486400 250016104980 253102723560 253729215450 257246254080 260179361280 263391452160 264043411200 266683845312 267303206400 269976238464 270644496480 277795672200 281225248400 284740564005 288687462912 289088179200 296315383680 300716107200 303723268272 312215233536 312520131225 316378404450 316852093440 320763847680 321557817600 324773395776 325224201600 329239315200 333354806640 337470298080 338305620600 341688676806 352057881600 355578460416 359968317952 360859328640 370394229600 379654085340 390269041920 395087178240 396065116800 400025767968 400954809600 404964357696 405966744720 416693508300 421837872600 428743756800 433031194368 433632268800 438985753600 444473075520 449960397440 451074160800 455584902408 474104613888 474567606675 481145771520 487836302400 493858972800 500032209960 506205447120 507458430900 512533015209 520358722560 528086822400 533367690624 534606412800 539952476928 541288992960 555591344400 562450496800 569481128010 577374925824 592630767360 601432214400 607446536544 625040262450 632756808900 633704186880 643115635200 649546791552 650448403200 658478630400 666709613280 674940596160 676611241200 683377353612 711156920832 719936635904 721718657280 740788459200 759308170680 780538083840 790174356480 792130233600 800051535936 801909619200 809928715392 811933489440 833387016600 843675745200 854221692015 866062388736 867264537600 888946151040 899920794880 902148321600 911169804816 949135213350 962291543040 975672604800 987717945600 1000064419920 1012410894240 1014916861800 1025066030418 1056173644800 1066735381248 1079904953856 1082577985920 1111182688800 1124900993600 1138962256020 1185261534720 1202864428800 1214893073088 1250080524900 1265513617800 1286231270400 1299093583104 1300896806400 1316957260800 1333419226560 1349881192320 1353222482400 1366754707224 1422313841664 1423702820025 1443437314560 1481576918400 1518616341360 1561076167680 1584260467200 1600103071872 1603819238400 1619857430784 1623866978880 1666774033200 1687351490400 1708443384030 1732124777472 1777892302080 1799841589760 1804296643200 1822339609632 1898270426700 1951345209600 1975435891200 2000128839840 2024821788480 2029833723600 2050132060836 2133470762496 2159809907712 2165155971840 2222365377600 2249801987200 2277924512040 2370523069440 2405728857600 2429786146176 2500161049800 2531027235600 2562665076045 2598187166208 2601793612800 2666838453120 2699762384640 2706444964800 2733509414448 2847405640050 2886874629120 2963153836800 3037232682720 3168520934400 3200206143744 3239714861568 3247733957760 3333548066400 3374702980800 3416886768060 3555784604160 3599683179520 3608593286400 3644679219264 3796540853400 3902690419200 3950871782400 4000257679680 4049643576960 4059667447200 4100264121672 4266941524992 4271108460075 4330311943680 4444730755200 4499603974400 4555849024080 4811457715200 4859572292352 5000322099600 5062054471200 5125330152090 5196374332416 5333676906240 5399524769280 5412889929600 5467018828896 5694811280100 5926307673600 6074465365440 6400412287488 6479429723136 6495467915520 6667096132800 6749405961600 6833773536120 7111569208320 7217186572800 7289358438528 7593081706800 7805380838400 8000515359360 8099287153920 8119334894400 8200528243344 8542216920150 8660623887360 8889461510400 8999207948800 9111698048160 9719144584704 10000644199200 10124108942400 10250660304180 10667353812480 10799049538560 10825779859200 10934037657792 11389622560200 11852615347200 12148930730880 12800824574976 12813325380225 12990935831040 13334192265600 13498811923200 13667547072240 14434373145600 14578716877056 15186163413600 16001030718720 16198574307840 16238669788800 16401056486688 17084433840300 17778923020800 17998415897600 18223396096320 19438289169408 20001288398400 20248217884800 20501320608360 21334707624960 21651559718400 21868075315584 22779245120400 24297861461760 25626650760450 25981871662080 26668384531200 26997623846400 27335094144480 29157433754112 30372326827200 32002061437440 32397148615680 32477339577600 32802112973376 34168867680600 35557846041600 36446792192640 40002576796800 40496435769600 41002641216720 43303119436800 43736150631168 45558490240800 48595722923520 51253301520900 53336769062400 53995247692800 54670188288960 58314867508224 60744653654400 64004122874880 64954679155200 65604225946752 68337735361200 72893584385280 80005153593600 80992871539200 82005282433440 87472301262336 91116980481600 97191445847040 102506603041800 106673538124800 109340376577920 121489307308800 129909358310400 131208451893504 136675470722400 145787168770560 160010307187200 161985743078400 164010564866880 174944602524672 182233960963200 205013206083600 218680753155840 242978614617600 262416903787008 273350941444800 291574337541120 320020614374400 328021129733760 364467921926400 410026412167200 437361506311680 485957229235200 524833807574016 546701882889600 656042259467520 728935843852800 820052824334400 874723012623360 1093403765779200 1312084518935040 1457871687705600 1640105648668800 2186807531558400 2624169037870080 3280211297337600 4373615063116800 6560422594675200 13120845189350400
- Sum of all divisors σ(n): 50482247315667132
- Sum of proper divisors (its aliquot sum) s(n): 37361402126316732
- 13120845189350400 is an abundant number, because the sum of its proper divisors (37361402126316732) is greater than itself. Its abundance is 24240556936966332
Bases of 13120845189350400
- Binary: 1011101001110101010110110101001010101000000100000000002
- Hexadecimal: 0x2E9D56D4AA0400
- Base-36: 3L6Y92FK000
Squares and roots of 13120845189350400
- 13120845189350400 squared (131208451893504002) is 172156578482899534029573980160000
- 13120845189350400 cubed (131208451893504003) is 2258839814602376934942685538025880172888064000000
-
The
square root of 13120845189350400 is 114546257.8583447221 -
The
cube root of 13120845189350400 is 235859.8060712605
Scales and comparisons
How big is 13120845189350400?- 13,120,845,189,350,400 seconds is equal to 417,202,291 years, 30 weeks, 2 days.
-
To count from 1 to 13,120,845,189,350,400 would take you about one billion, two hundred fifty-one million, six hundred six thousand, eight hundred seventy-four 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 13120845189350400 cubic inches would be around 19655 feet tall.
Recreational maths with 13120845189350400
- 13120845189350400 backwards is 00405398154802131
- 13120845189350400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13120845189350400's digits is 54
- More coming soon!
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"Number 13120845189350400 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 13120845189350400 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/13120845189350400/
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The information we have on file for 13120845189350400 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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