1327426834228019200
1,327,426,834,228,019,200 is an even composite number composed of seven prime numbers multiplied together.
1327426834228019200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 1327426834228019200:
215 × 52 × 132 × 17 × 37 × 1861 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 17 × 37 × 1861 × 8191)See below for interesting mathematical facts about the number 1327426834228019200 from the Numbermatics database.
Names of 1327426834228019200
- Cardinal: 1327426834228019200 can be written as One quintillion, three hundred twenty-seven quadrillion, four hundred twenty-six trillion, eight hundred thirty-four billion, two hundred twenty-eight million, nineteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.3274268342280192 × 1018
Factors of 1327426834228019200
Divisors of 1327426834228019200
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 37 40 50 52 64 65 68 74 80 85 100 104 128 130 136 148 160 169 170 185 200 208 221 256 260 272 296 320 325 338 340 370 400 416 425 442 481 512 520 544 592 629 640 650 676 680 740 800 832 845 850 884 925 962 1024 1040 1088 1105 1184 1258 1280 1300 1352 1360 1480 1600 1664 1690 1700 1768 1850 1861 1924 2048 2080 2176 2210 2368 2405 2516 2560 2600 2704 2720 2873 2960 3145 3200 3328 3380 3400 3536 3700 3722 3848 4096 4160 4225 4352 4420 4736 4810 5032 5120 5200 5408 5440 5525 5746 5920 6253 6290 6400 6656 6760 6800 7072 7400 7444 7696 8177 8191 8192 8320 8450 8704 8840 9305 9472 9620 10064 10240 10400 10816 10880 11050 11492 11840 12025 12506 12580 12800 13312 13520 13600 14144 14365 14800 14888 15392 15725 16354 16382 16384 16640 16900 17408 17680 18610 18944 19240 20128 20480 20800 21632 21760 22100 22984 23680 24050 24193 25012 25160 25600 26624 27040 27200 28288 28730 29600 29776 30784 31265 31450 31637 32708 32764 32768 33280 33800 34816 35360 37220 37888 38480 40256 40885 40955 40960 41600 43264 43520 44200 45968 46525 47360 48100 48386 50024 50320 51200 53248 54080 54400 56576 57460 59200 59552 61568 62530 62900 63274 65416 65528 66560 67600 68857 69632 70720 71825 74440 75776 76960 80512 81770 81910 81920 83200 86528 87040 88400 91936 93050 94720 96200 96772 100048 100640 102400 106301 106483 106496 108160 108800 113152 114920 118400 119104 120965 123136 125060 125800 126548 130832 131056 133120 135200 137714 139247 139264 141440 143650 148880 151552 153920 156325 158185 161024 163540 163820 163840 166400 173056 174080 176800 183872 186100 189440 192400 193544 200096 201280 204425 204775 204800 212602 212966 212992 216320 217600 226304 229840 236800 238208 241930 246272 250120 251600 253096 261664 262112 266240 270400 275428 278494 278528 282880 287300 297760 303067 303104 307840 312650 314509 316370 322048 327080 327640 332800 344285 346112 348160 353600 367744 372200 378880 384800 387088 400192 402560 408850 409550 409600 411281 425204 425932 425984 432640 435200 452608 459680 473600 476416 483860 492544 500240 503200 506192 523328 524224 531505 532415 532480 540800 550856 556988 557056 565760 574600 595520 604825 606134 606208 615680 625300 629018 632740 644096 654160 655280 665600 688570 692224 696235 696320 707200 735488 744400 757760 769600 774176 790925 800384 805120 817700 819100 819200 822562 850408 851864 865280 870400 895141 905216 919360 947200 952832 967720 985088 1000480 1006400 1012384 1046656 1048448 1063010 1064830 1064960 1081600 1101712 1113976 1131520 1149200 1170569 1191040 1209650 1212268 1212416 1231360 1250600 1258036 1265480 1288192 1308320 1310560 1331200 1377140 1384279 1384448 1392470 1392640 1414400 1470976 1488800 1515335 1515520 1539200 1548352 1572545 1581850 1600768 1610240 1635400 1638200 1645124 1700816 1703728 1721425 1730560 1740800 1790282 1810211 1810432 1838720 1894400 1905664 1935440 1970176 2000960 2012800 2024768 2056405 2093312 2096896 2126020 2129660 2129920 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10614319800320 10780168547200 10973643898880 11145107084800 11211375289088 11550877429760 11731359889600 12200614285184 12272807269120 12464569882700 12466091622400 12487435059200 12963152678008 13189853281280 13267899750400 13717054873600 13798615740416 14014219111360 14265737068544 14438596787200 15016140658688 15250767856480 15341009086400 15954649449856 16203940847510 16205919109120 16233665576960 16487316601600 17248269675520 17517773889200 17832171335680 18481403887616 18770175823360 19063459820600 19278023065600 19636491630592 19943311812320 20257398886400 20292081971200 20979025100800 21103765250048 21228639600640 21560337094400 22290214169600 22422750578176 23101754859520 23462719779200 24401228570368 24545614538240 24929139765400 25926305356016 26379706562560 26535799500800 27434109747200 27597231480832 28028438222720 28531474137088 28877193574400 30032281317376 30501535712960 30682018172800 31909298899712 32407881695020 32411838218240 32467331153920 32974633203200 34496539351040 35035547778400 35664342671360 37540351646720 38126919641200 39272983261184 39886623624640 40509852118775 40514797772800 40584163942400 41958050201600 42207530500096 42457279201280 43120674188800 44580428339200 44845501156352 46203509719040 46925439558400 48802457140736 49091229076480 49858279530800 51852610712032 52759413125120 53071599001600 54868219494400 55194462961664 56056876445440 57754387148800 60064562634752 61003071425920 61364036345600 63818597799424 64815763390040 65949266406400 68993078702080 70071095556800 71328685342720 75080703293440 76253839282400 78545966522368 79773247249280 81019704237550 81029595545600 81168327884800 84415061000192 86241348377600 89160856678400 89691002312704 92407019438080 93850879116800 97604914281472 98182458152960 99716559061600 103705221424064 105518826250240 106143198003200 110388925923328 112113752890880 115508774297600 120129125269504 122006142851840 122728072691200 127637195598848 129631526780080 131898532812800 137986157404160 140142191113600 142657370685440 150161406586880 152507678564800 157091933044736 159546494498560 162039408475100 162059191091200 162336655769600 172482696755200 178321713356800 179382004625408 187701758233600 195209828562944 196364916305920 199433118123200 207410442848128 211037652500480 212286396006400 224227505781760 231017548595200 240258250539008 244012285703680 245456145382400 255274391197696 259263053560160 263797065625600 275972314808320 280284382227200 300322813173760 305015357129600 314183866089472 319092988997120 324078816950200 344965393510400 356643426713600 358764009250816 375403516467200 390419657125888 392729832611840 398866236246400 414820885696256 422075305000960 448455011563520 462035097190400 488024571407360 490912290764800 510548782395392 518526107120320 527594131251200 551944629616640 560568764454400 600645626347520 610030714259200 638185977994240 648157633900400 689930787020800 713286853427200 717528018501632 750807032934400 780839314251776 785459665223680 797732472492800 829641771392512 896910023127040 976049142814720 981824581529600 1021097564790784 1037052214240640 1055188262502400 1121137528908800 1201291252695040 1220061428518400 1276371955988480 1296315267800800 1379861574041600 1435056037003264 1501614065868800 1561678628503552 1570919330447360 1595464944985600 1659283542785024 1793820046254080 1952098285629440 1963649163059200 2042195129581568 2074104428481280 2110376525004800 2242275057817600 2440122857036800 2552743911976960 2592630535601600 2759723148083200 3003228131737600 3123357257007104 3190929889971200 3318567085570048 3587640092508160 3904196571258880 3927298326118400 4084390259163136 4148208856962560 4484550115635200 4880245714073600 5105487823953920 5185261071203200 6006456263475200 6381859779942400 6637134171140096 7175280185016320 7808393142517760 7854596652236800 8296417713925120 8969100231270400 9760491428147200 10210975647907840 10370522142406400 12763719559884800 13274268342280192 15616786285035520 16592835427850240 17938200462540800 19520982856294400 20421951295815680 20741044284812800 25527439119769600 26548536684560384 33185670855700480 35876400925081600 39041965712588800 41482088569625600 51054878239539200 53097073369120768 66371341711400960 78083931425177600 82964177139251200 102109756479078400 132742683422801920 165928354278502400 265485366845603840 331856708557004800 663713417114009600 1327426834228019200
- Sum of all divisors σ(n): 3878928812346900480
- Sum of proper divisors (its aliquot sum) s(n): 2551501978118881280
- 1327426834228019200 is an abundant number, because the sum of its proper divisors (2551501978118881280) is greater than itself. Its abundance is 1224075143890862080
Bases of 1327426834228019200
- Binary: 10010011010111111011110101100001101110111101110000000000000002
- Hexadecimal: 0x126BF7AC377B8000
- Base-36: A32DJH3M5IPS
Squares and roots of 1327426834228019200
- 1327426834228019200 squared (13274268342280192002) is 1762062000228621165546418355568640000
- 1327426834228019200 cubed (13274268342280192003) is 2339008382676969837609202013042927941187836837888000000
-
The
square root of 1327426834228019200 is 1152140110.5021989469 -
The
cube root of 1327426834228019200 is 1099014.7746492215
Scales and comparisons
How big is 1327426834228019200?- 1,327,426,834,228,019,200 seconds is equal to 42,208,067,327 years, 34 weeks, 2 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 1,327,426,834,228,019,200 would take you about one hundred forty-seven billion, seven hundred twenty-eight million, two hundred thirty-five thousand, six hundred forty-six 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 1327426834228019200 cubic inches would be around 91584.6 feet tall.
Recreational maths with 1327426834228019200
- 1327426834228019200 backwards is 0029108224386247231
- 1327426834228019200 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 1327426834228019200's digits is 64
- More coming soon!
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Cite this page
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"Number 1327426834228019200 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 1327426834228019200 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/1327426834228019200/
Chicago style:
Numbermatics. 2024. "Number 1327426834228019200 - Facts about the integer". https://numbermatics.com/n/1327426834228019200/
The information we have on file for 1327426834228019200 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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