135222216223621120
135,222,216,223,621,120 is an even composite number composed of five prime numbers multiplied together.
135222216223621120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred fifty-six divisors.
Prime factorization of 135222216223621120:
222 × 5 × 113 × 312 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 11 × 31 × 31 × 71 × 71)See below for interesting mathematical facts about the number 135222216223621120 from the Numbermatics database.
Names of 135222216223621120
- Cardinal: 135222216223621120 can be written as One hundred thirty-five quadrillion, two hundred twenty-two trillion, two hundred sixteen billion, two hundred twenty-three million, six hundred twenty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3522221622362112 × 1017
Factors of 135222216223621120
Divisors of 135222216223621120
- Number of divisors d(n): 1656
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 71 80 88 110 121 124 128 142 155 160 176 220 242 248 256 284 310 320 341 352 355 440 484 496 512 568 605 620 640 682 704 710 781 880 961 968 992 1024 1136 1210 1240 1280 1331 1364 1408 1420 1562 1705 1760 1922 1936 1984 2048 2201 2272 2420 2480 2560 2662 2728 2816 2840 3124 3410 3520 3751 3844 3872 3905 3968 4096 4402 4544 4805 4840 4960 5041 5120 5324 5456 5632 5680 6248 6655 6820 7040 7502 7688 7744 7810 7936 8192 8591 8804 9088 9610 9680 9920 10082 10240 10571 10648 10912 11005 11264 11360 12496 13310 13640 14080 15004 15376 15488 15620 15872 16384 17182 17608 18176 18755 19220 19360 19840 20164 20480 21142 21296 21824 22010 22528 22720 24211 24992 25205 26620 27280 28160 30008 30752 30976 31240 31744 32768 34364 35216 36352 37510 38440 38720 39680 40328 40960 41261 42284 42592 42955 43648 44020 45056 45440 48422 49984 50410 52855 53240 54560 55451 56320 60016 61504 61952 62480 63488 65536 68231 68728 70432 72704 75020 76880 77440 79360 80656 81920 82522 84568 85184 85910 87296 88040 90112 90880 94501 96844 99968 100820 105710 106480 109120 110902 112640 116281 120032 121055 123008 123904 124960 126976 131072 136462 137456 140864 145408 150040 153760 154880 156271 158720 161312 163840 165044 169136 170368 171820 174592 176080 180224 181760 189002 193688 199936 201640 206305 211420 212960 218240 221804 225280 232562 240064 242110 246016 247808 249920 253952 262144 266321 272924 274912 277255 281728 290816 300080 307520 309760 312542 317440 322624 327680 330088 338272 340736 341155 343640 349184 352160 360448 363520 378004 387376 399872 403280 412610 422840 425920 436480 443608 450560 465124 472505 480128 484220 492032 495616 499840 507904 524288 532642 545848 549824 554510 563456 581405 581632 600160 609961 615040 619520 625084 634880 645248 655360 660176 676544 681472 682310 687280 698368 704320 720896 727040 750541 756008 774752 781355 799744 806560 825220 845680 851840 872960 887216 901120 930248 945010 960256 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187575206720 191989743616 193626019840 196749819904 198182961152 198426664960 199872020480 204827525120 206332727392 209566269440 212988621824 216326471680 218269331456 219859222528 221689937920 225310277632 232487580160 232578351104 239987179520 243858931712 245937274880 247728701440 253870735360 257915909240 266235777280 270531002368 272836664320 274824028160 279257808896 281637847040 286181556224 290722938880 300120330752 304823664640 309801631744 317482663936 319795232768 327724040192 335306031104 338163752960 349072261120 357726945280 371980128256 375150413440 383979487232 387252039680 393499639808 396365922304 396853329920 399744040960 409655050240 412665454784 419132538880 425977243648 432652943360 436538662912 439718445056 450620555264 464975160320 479974359040 487717863424 491874549760 495457402880 507741470720 515831818480 532471554560 541062004736 545673328640 549648056320 558515617792 563275694080 581445877760 600240661504 609647329280 619603263488 634965327872 639590465536 655448080384 670612062208 676327505920 698144522240 715453890560 743960256512 750300826880 767958974464 774504079360 786999279616 793706659840 799488081920 819310100480 825330909568 838265077760 851954487296 865305886720 873077325824 879436890112 901241110528 929950320640 959948718080 983749099520 990914805760 1031663636960 1064943109120 1082124009472 1091346657280 1099296112640 1117031235584 1126551388160 1162891755520 1200481323008 1219294658560 1239206526976 1269930655744 1279180931072 1341224124416 1352655011840 1396289044480 1430907781120 1487920513024 1500601653760 1535917948928 1549008158720 1573998559232 1587413319680 1598976163840 1638620200960 1650661819136 1676530155520 1703908974592 1746154651648 1758873780224 1802482221056 1859900641280 1919897436160 1967498199040 1981829611520 2063327273920 2129886218240 2164248018944 2182693314560 2198592225280 2253102776320 2400962646016 2438589317120 2478413053952 2539861311488 2558361862144 2682448248832 2705310023680 2792578088960 2975841026048 3001203307520 3071835897856 3098016317440 3147997118464 3174826639360 3197952327680 3277240401920 3301323638272 3353060311040 3407817949184 3492309303296 3517747560448 3604964442112 3719801282560 3839794872320 3934996398080 4126654547840 4259772436480 4328496037888 4365386629120 4397184450560 4506205552640 4801925292032 4956826107904 5079722622976 5364896497664 5410620047360 5585156177920 5951682052096 6002406615040 6143671795712 6196032634880 6349653278720 6395904655360 6602647276544 6706120622080 6815635898368 6984618606592 7035495120896 7209928884224 7439602565120 7679589744640 7869992796160 8253309095680 8519544872960 8656992075776 8730773258240 8794368901120 9012411105280 9603850584064 9913652215808 10159445245952 10821240094720 11903364104192 12004813230080 12287343591424 12392065269760 12699306557440 12791809310720 13205294553088 13412241244160 13631271796736 13969237213184 14070990241792 14879205130240 15359179489280 15739985592320 16506618191360 17039089745920 17313984151552 17461546516480 17588737802240 18024822210560 19207701168128 19827304431616 20318890491904 21642480189440 23806728208384 24009626460160 24784130539520 25398613114880 26410589106176 26824482488320 27262543593472 27938474426368 28141980483584 29758410260480 30718358978560 33013236382720 34078179491840 34627968303104 34923093032960 35177475604480 36049644421120 38415402336256 39654608863232 43284960378880 47613456416768 48019252920320 49568261079040 50797226229760 52821178212352 54525087186944 55876948852736 59516820520960 61436717957120 66026472765440 68156358983680 69846186065920 70354951208960 76830804672512 79309217726464 86569920757760 95226912833536 96038505840640 99136522158080 101594452459520 105642356424704 109050174373888 111753897705472 119033641041920 132052945530880 136312717967360 139692372131840 140709902417920 153661609345024 173139841515520 190453825667072 192077011681280 198273044316160 211284712849408 218100348747776 223507795410944 238067282083840 264105891061760 272625435934720 279384744263680 307323218690048 380907651334144 384154023362560 396546088632320 422569425698816 436200697495552 476134564167680 528211782123520 545250871869440 558769488527360 614646437380096 768308046725120 845138851397632 872401394991104 952269128335360 1056423564247040 1090501743738880 1117538977054720 1229292874760192 1536616093450240 1690277702795264 1904538256670720 2112847128494080 2181003487477760 2458585749520384 3073232186900480 3380555405590528 4225694256988160 4362006974955520 6146464373800960 6761110811181056 8451388513976320 12292928747601920 13522221622362112 16902777027952640 27044443244724224 33805554055905280 67611108111810560 135222216223621120
- Sum of all divisors σ(n): 374116805053868592
- Sum of proper divisors (its aliquot sum) s(n): 238894588830247472
- 135222216223621120 is an abundant number, because the sum of its proper divisors (238894588830247472) is greater than itself. Its abundance is 103672372606626352
Bases of 135222216223621120
- Binary: 1111000000110011111100011101000111100000000000000000000002
- Hexadecimal: 0x1E067E3A3C00000
- Base-36: 10ZG9WJXDSSG
Squares and roots of 135222216223621120
- 135222216223621120 squared (1352222162236211202) is 18285047760427742831610245310054400
- 135222216223621120 cubed (1352222162236211203) is 2472544681919799353008795750205817508259512188928000
-
The
square root of 135222216223621120 is 367725735.0575576999 -
The
cube root of 135222216223621120 is 513274.0996305579
Scales and comparisons
How big is 135222216223621120?- 135,222,216,223,621,120 seconds is equal to 4,299,648,206 years, 6 weeks, 6 days, 15 hours, 38 minutes, 40 seconds.
-
To count from 1 to 135,222,216,223,621,120 would take you about twelve billion, eight hundred ninety-eight million, nine hundred forty-four thousand, six hundred eighteen 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 135222216223621120 cubic inches would be around 42772.8 feet tall.
Recreational maths with 135222216223621120
- 135222216223621120 backwards is 021126322612222531
- The number of decimal digits it has is: 18
- The sum of 135222216223621120's digits is 43
- More coming soon!
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"Number 135222216223621120 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 135222216223621120 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/135222216223621120/
Chicago style:
Numbermatics. 2024. "Number 135222216223621120 - Facts about the integer". https://numbermatics.com/n/135222216223621120/
The information we have on file for 135222216223621120 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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