428906720822667575040
428,906,720,822,667,575,040 is an even composite number composed of six prime numbers multiplied together.
What does the number 428906720822667575040 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
428906720822667575040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 428906720822667575040:
28 × 33 × 5 × 72 × 792 × 2014512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 79 × 79 × 201451 × 201451)See below for interesting mathematical facts about the number 428906720822667575040 from the Numbermatics database.
Names of 428906720822667575040
- Cardinal: 428906720822667575040 can be written as Four hundred twenty-eight quintillion, nine hundred six quadrillion, seven hundred twenty trillion, eight hundred twenty-two billion, six hundred sixty-seven million, five hundred seventy-five thousand and forty.
Scientific notation
- Scientific notation: 4.2890672082266757504 × 1020
Factors of 428906720822667575040
Divisors of 428906720822667575040
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 79 80 84 90 96 98 105 108 112 120 126 128 135 140 144 147 158 160 168 180 189 192 196 210 216 224 237 240 245 252 256 270 280 288 294 315 316 320 336 360 378 384 392 395 420 432 441 448 474 480 490 504 540 553 560 576 588 630 632 640 672 711 720 735 756 768 784 790 840 864 882 896 945 948 960 980 1008 1080 1106 1120 1152 1176 1185 1260 1264 1280 1323 1344 1422 1440 1470 1512 1568 1580 1659 1680 1728 1764 1792 1890 1896 1920 1960 2016 2133 2160 2205 2212 2240 2304 2352 2370 2520 2528 2646 2688 2765 2844 2880 2940 3024 3136 3160 3318 3360 3456 3528 3555 3780 3792 3840 3871 3920 4032 4266 4320 4410 4424 4480 4704 4740 4977 5040 5056 5292 5376 5530 5688 5760 5880 6048 6241 6272 6320 6615 6636 6720 6912 7056 7110 7560 7584 7742 7840 8064 8295 8532 8640 8820 8848 8960 9408 9480 9954 10080 10112 10584 10665 11060 11376 11520 11613 11760 12096 12482 12544 12640 13230 13272 13440 14112 14220 14931 15120 15168 15484 15680 16128 16590 17064 17280 17640 17696 18723 18816 18960 19355 19908 20160 20224 21168 21330 22120 22752 23226 23520 24192 24885 24964 25280 26460 26544 26880 28224 28440 29862 30240 30336 30968 31205 31360 33180 34128 34560 34839 35280 35392 37446 37632 37920 38710 39816 40320 42336 42660 43687 44240 45504 46452 47040 48384 49770 49928 50560 52920 53088 56169 56448 56880 58065 59724 60480 60672 61936 62410 62720 66360 68256 69678 70560 70784 74655 74892 75840 77420 79632 80640 84672 85320 87374 88480 91008 92904 93615 94080 99540 99856 101120 104517 105840 106176 112338 112896 113760 116130 119448 120960 123872 124820 131061 132720 136512 139356 141120 141568 149310 149784 151680 154840 159264 168507 169344 170640 174195 174748 176960 182016 185808 187230 188160 199080 199712 201451 209034 211680 212352 218435 224676 227520 232260 238896 241920 247744 249640 262122 265440 273024 278712 280845 282240 298620 299568 303360 305809 309680 318528 337014 338688 341280 348390 349496 353920 371616 374460 393183 398160 399424 402902 418068 423360 424704 436870 449352 455040 464520 477792 495488 499280 522585 524244 530880 546048 557424 561690 564480 597240 599136 604353 611618 619360 637056 655305 674028 682560 696780 698992 707840 743232 748920 786366 796320 798848 805804 836136 842535 846720 873740 898704 910080 917427 929040 955584 990976 998560 1007255 1045170 1048488 1061760 1114848 1123380 1179549 1194480 1198272 1208706 1223236 1238720 1274112 1310610 1348056 1365120 1393560 1397984 1410157 1486464 1497840 1529045 1572732 1592640 1597696 1611608 1672272 1685070 1693440 1747480 1797408 1813059 1834854 1858080 1911168 1965915 1997120 2014510 2090340 2096976 2123520 2229696 2246760 2359098 2388960 2396544 2417412 2446472 2477440 2621220 2696112 2730240 2752281 2787120 2795968 2820314 2972928 2995680 3021765 3058090 3145464 3185280 3223216 3344544 3370140 3494960 3594816 3626118 3669708 3716160 3822336 3931830 3994240 4029020 4180680 4193952 4230471 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4295252371641840 4308888093456576 4558957491737538 4581602529751296 4616665814417760 4712846352218130 4847499105138648 4908859853304960 5027036109032672 5065508324152820 5318783740360461 5386110116820720 5539998977301312 5655415622661756 5727003162189120 5745184124608768 6059373881423310 6078609988983384 6155554419223680 6283795136290840 6463332140184864 6838436237606307 6872403794626944 6924998721626640 7069269528327195 7091711653813948 7181480155760960 7386665303068416 7540554163549008 7598262486229230 7636004216252160 8079165175231080 8104813318644512 8483123433992634 8590504743283680 8617776186913152 8864639567267435 9117914983475076 9233331628835520 9425692704436260 9694998210277296 9817719706609920 10054072218065344 10131016648305640 10637567480720922 10772220233641440 11079997954602624 11310831245323512 11397393729343845 11454006324378240 12118747762846620 12157219977966768 12311108838447360 12410495394174409 12567590272581680 12926664280369728 13676872475212614 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42550269922883688 43088880934565760 45243324981294048 45589574917375380 47869053663244149 48474991051386480 48628879911867072 49641981576697636 50270361090326720 51706657121478912 53187837403604610 54707489900850456 55399989773013120 56554156226617560 56733693230511584 60324433308392064 60786099889833840 62052476970872045 63825404884325532 64633321401848640 64838506549156096 67864987471941072 68384362376063070 68724037946269440 70917116538139480 72943319867800608 74462972365046454 75405541635490080 77559985682218368 79781756105406915 81048133186445120 84831234339926340 85100539845767376 86177761869131520 90486649962588096 91179149834750760 95738107326488298 96949982102772960 97257759823734144 99283963153395272 100540722180653440 106375674807209220 109414979801700912 110799979546026240 111694458547569681 113108312453235120 113467386461023168 120648866616784128 121572199779667680 124104953941744090 127650809768651064 129266642803697280 135729974943882144 136768724752126140 141834233076278960 145886639735601216 148925944730092908 150811083270980160 155119971364436736 159563512210813830 162096266372890240 169662468679852680 170201079691534752 180973299925176192 182358299669501520 186157430912616135 191476214652976596 193899964205545920 194515519647468288 198567926306790544 201081444361306880 212751349614418440 218829959603401824 223388917095139362 226216624906470240 226934772922046336 239345268316220745 243144399559335360 248209907883488180 255301619537302128 258533285607394560 271459949887764288 273537449504252280 283668466152557920 291773279471202432 297851889460185816 301622166541960320 319127024421627660 324192532745780480 335083375642709043 339324937359705360 340402159383069504 361946599850352384 364716599339003040 372314861825232270 382952429305953192 387799928411091840 397135852613581088 425502699228836880 437659919206803648 446777834190278724 452433249812940480 453869545844092672 478690536632441490 486288799118670720 496419815766976360 510603239074604256 542919899775528576 547074899008504560 558472292737848405 567336932305115840 583546558942404864 595703778920371632 603244333083920640 638254048843255320 670166751285418086 678649874719410720 680804318766139008 729433198678006080 744629723650464540 765904858611906384 775599856822183680 794271705227162176 851005398457673760 875319838413607296 893555668380557448 904866499625880960 957381073264882980 972577598237341440 992839631533952720 1021206478149208512 1085839799551057152 1094149798017009120 1116944585475696810 1134673864610231680 1191407557840743264 1276508097686510640 1340333502570836172 1357299749438821440 1361608637532278016 1458866397356012160 1489259447300929080 1531809717223812768 1588543410454324352 1675416878213545215 1702010796915347520 1750639676827214592 1787111336761114896 1809732999251761920 1914762146529765960 1985679263067905440 2042412956298417024 2188299596034018240 2233889170951393620 2269347729220463360 2382815115681486528 2553016195373021280 2680667005141672344 2714599498877642880 2917732794712024320 2978518894601858160 3063619434447625536 3177086820908648704 3350833756427090430 3404021593830695040 3574222673522229792 3829524293059531920 3971358526135810880 4084825912596834048 4376599192068036480 4467778341902787240 4765630231362973056 5106032390746042560 5361334010283344688 5429198997755285760 5957037789203716320 6127238868895251072 6701667512854180860 6808043187661390080 7148445347044459584 7659048586119063840 7942717052271621760 8753198384136072960 8935556683805574480 9531260462725946112 10212064781492085120 10722668020566689376 11914075578407432640 12254477737790502144 13403335025708361720 14296890694088919168 15318097172238127680 15885434104543243520 17871113367611148960 20424129562984170240 21445336041133378752 23828151156814865280 26806670051416723440 28593781388177838336 30636194344476255360 35742226735222297920 42890672082266757504 47656302313629730560 53613340102833446880 61272388688952510720 71484453470444595840 85781344164533515008 107226680205666893760 142968906940889191680 214453360411333787520 428906720822667575040
- Sum of all divisors σ(n): 1793220928403721420240
- Sum of proper divisors (its aliquot sum) s(n): 1364314207581053845200
- 428906720822667575040 is an abundant number, because the sum of its proper divisors (1364314207581053845200) is greater than itself. Its abundance is 935407486758386270160
Bases of 428906720822667575040
- Binary: 1011101000000010001101100011000100100100111001011110011111111000000002
- Hexadecimal: 0x174046C6249CBCFF00
- Base-36: 2IIMRBDMK4UYO0
Squares and roots of 428906720822667575040
- 428906720822667575040 squared (4289067208226675750402) is 183960975166853703198302476622194031001600
- 428906720822667575040 cubed (4289067208226675750403) is 78902098618155403901146620212493311727681224480448854360064000
-
The
square root of 428906720822667575040 is 20710063274.2313845167 -
The
cube root of 428906720822667575040 is 7541440.0644874729
Scales and comparisons
How big is 428906720822667575040?- 428,906,720,822,667,575,040 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 428,906,720,822,667,575,040 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 428906720822667575040 cubic inches would be around 628453.3 feet tall.
Recreational maths with 428906720822667575040
- 428906720822667575040 backwards is 040575766228027609824
- 428906720822667575040 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 428906720822667575040's digits is 90
- More coming soon!
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"Number 428906720822667575040 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 428906720822667575040 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/428906720822667575040/
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Numbermatics. 2024. "Number 428906720822667575040 - Facts about the integer". https://numbermatics.com/n/428906720822667575040/
The information we have on file for 428906720822667575040 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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