513986642872431207680
513,986,642,872,431,207,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 513986642872431207680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1458 divisors.
513986642872431207680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred fifty-eight divisors.
Prime factorization of 513986642872431207680:
28 × 5 × 612 × 1272 × 1572 × 5212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 61 × 61 × 127 × 127 × 157 × 157 × 521 × 521)See below for interesting mathematical facts about the number 513986642872431207680 from the Numbermatics database.
Names of 513986642872431207680
- Cardinal: 513986642872431207680 can be written as Five hundred thirteen quintillion, nine hundred eighty-six quadrillion, six hundred forty-two trillion, eight hundred seventy-two billion, four hundred thirty-one million, two hundred seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 5.1398664287243120768 × 1020
Factors of 513986642872431207680
Divisors of 513986642872431207680
- Number of divisors d(n): 1458
-
Complete list of divisors:
1 2 4 5 8 10 16 20 32 40 61 64 80 122 127 128 157 160 244 254 256 305 314 320 488 508 521 610 628 635 640 785 976 1016 1042 1220 1256 1270 1280 1570 1952 2032 2084 2440 2512 2540 2605 3140 3721 3904 4064 4168 4880 5024 5080 5210 6280 7442 7747 7808 8128 8336 9577 9760 10048 10160 10420 12560 14884 15494 15616 16129 16256 16672 18605 19154 19520 19939 20096 20320 20840 24649 25120 29768 30988 31781 32258 32512 33344 37210 38308 38735 39040 39878 40192 40640 41680 47885 49298 50240 59536 61976 63562 64516 66167 66688 74420 76616 77470 78080 79756 80645 81280 81797 83360 95770 98596 99695 100480 119072 123245 123952 127124 129032 132334 133376 148840 153232 154940 158905 159512 161290 162560 163594 166720 191540 197192 199390 200960 238144 246490 247904 254248 258064 264668 271441 297680 306464 309880 317810 319024 322580 327188 330835 333440 383080 394384 398780 408985 472567 476288 492980 495808 508496 516128 529336 542882 584197 595360 612928 619760 635620 638048 645160 654376 661670 666880 766160 788768 797560 817970 945134 952576 983869 985960 991616 1016992 1032256 1058672 1085764 1168394 1190720 1216279 1225856 1239520 1271240 1276096 1290320 1308752 1323340 1357205 1503589 1532320 1577536 1595120 1635940 1890268 1938641 1967738 1971920 1983232 2033984 2064512 2117344 2171528 2336788 2362835 2381440 2432558 2451712 2479040 2532253 2542480 2552192 2580640 2617504 2646680 2714410 2920985 3007178 3064640 3130423 3155072 3190240 3271880 3780536 3877282 3935476 3943840 4036187 4067968 4129024 4234688 4343056 4673576 4725670 4762880 4865116 4919345 4958080 4989617 5064506 5084960 5104384 5161280 5235008 5293360 5428820 5841970 6014356 6081395 6129280 6260846 6310144 6380480 6543760 7517945 7561072 7754564 7870952 7887680 8072374 8135936 8403209 8469376 8686112 9347152 9451340 9693205 9730232 9838690 9916160 9979234 10129012 10169920 10322560 10388219 10470016 10586720 10857640 11683940 12028712 12162790 12258560 12521692 12661265 12760960 12842129 13087520 15035890 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104482739647744 105647356172480 107915093991961 108764819141504 109977165851680 118346768467280 121375327502860 124481389033445 126349726171010 127344605904640 130326443991752 130603424559680 132563647130240 135956023926880 157092143621536 161112218163032 162908054989690 164190795580160 167715177923812 170919926546560 175963465362688 189354829547648 194200524004576 196365179526920 199170222453512 201390272703790 202159561873616 202976022882560 207332936488492 209643972404765 211294712344960 215830187983922 217529638283008 219954331703360 236693536934560 242750655005720 248962778066890 252699452342020 259166170610615 260652887983504 261206849119360 265127294260480 271912047853760 314184287243072 322224436326064 325816109979380 335430355847624 341839853093120 378709659095296 388401048009152 392730359053840 398340444907024 402780545407580 404319123747232 414665872976984 419287944809530 422589424689920 431660375967844 439908663406720 473387073869120 485501310011440 497925556133780 505398904684040 518332341221230 521305775967008 522413698238720 539575469959805 543824095707520 628368574486144 644448872652128 651632219958760 670860711695248 770733329643161 776802096018304 785460718107680 796680889814048 805561090815160 808638247494464 829331745953968 838575889619060 863320751935688 879817326813440 946774147738240 971002620022880 995851112267560 1010797809368080 1036664682442460 1042611551934016 1079150939919610 1087648191415040 1256737148972288 1288897745304256 1303264439917520 1341721423390496 1541466659286322 1553604192036608 1570921436215360 1593361779628096 1611122181630320 1617276494988928 1658663491907936 1677151779238120 1726641503871376 1893548295476480 1942005240045760 1991702224535120 2021595618736160 2073329364884920 2085223103868032 2158301879839220 2557656463338133 2577795490608512 2606528879835040 2683442846780992 3082933318572644 3141842872430720 3161827281449503 3186723559256192 3222244363260640 3234552989977856 3317326983815872 3354303558476240 3453283007742752 3853666648215805 3884010480091520 3983404449070240 4043191237472320 4146658729769840 4170446207736064 4316603759678440 5115312926676266 5155590981217024 5213057759670080 5366885693561984 6165866637145288 6283685744861440 6323654562899006 6373447118512384 6444488726521280 6582820733509621 6634653967631744 6708607116952480 6906566015485504 7707333296431610 7768020960183040 7966808898140480 8086382474944640 8293317459539680 8633207519356880 10230625853352532 10426115519340160 10733771387123968 12331733274290576 12647309125798012 12788282316690665 12888977453042560 13165641467019242 13269307935263488 13417214233904960 13813132030971008 15414666592863220 15809136407247515 15933617796280960 16172764949889280 16586634919079360 17266415038713760 20461251706705064 20852231038680320 24663466548581152 25294618251596024 25576564633381330 25777954906085120 26331282934038484 26834428467809920 27626264061942016 30829333185726440 31618272814495030 31867235592561920 32914103667548105 33173269838158720 34532830077427520 40922503413410128 49326933097162304 50589236503192048 51153129266762660 52662565868076968 53668856935619840 61658666371452880 63236545628990060 65828207335096210 66346539676317440 69065660154855040 81845006826820256 98653866194324608 101178473006384096 102306258533525320 105325131736153936 123317332742905760 126473091257980120 131656414670192420 138131320309710080 163690013653640512 197307732388649216 202356946012768192 204612517067050640 210650263472307872 246634665485811520 252946182515960240 263312829340384840 327380027307281024 401552064744086881 404713892025536384 409225034134101280 421300526944615744 493269330971623040 505892365031920480 526625658680769680 654760054614562048 803104129488173762 809427784051072768 818450068268202560 842601053889231488 986538661943246080 1011784730063840960 1053251317361539360 1606208258976347524 1636900136536405120 1685202107778462976 2007760323720434405 2023569460127681920 2106502634723078720 3212416517952695048 3273800273072810240 4015520647440868810 4047138920255363840 4213005269446157440 6424833035905390096 8031041294881737620 8426010538892314880 12849666071810780192 16062082589763475240 25699332143621560384 32124165179526950480 51398664287243120768 64248330359053900960 102797328574486241536 128496660718107801920 256993321436215603840 513986642872431207680
- Sum of all divisors σ(n): 1272134314403467018686
- Sum of proper divisors (its aliquot sum) s(n): 758147671531035811006
- 513986642872431207680 is an abundant number, because the sum of its proper divisors (758147671531035811006) is greater than itself. Its abundance is 244161028658604603326
Bases of 513986642872431207680
- Binary: 1101111011100111111110110000001111001011110101101001011100101000000002
- Hexadecimal: 0x1BDCFF60797AD2E500
- Base-36: 30H12ANZ5ZRQBK
Squares and roots of 513986642872431207680
- 513986642872431207680 squared (5139866428724312076802) is 264182269051272138384031833253983290982400
- 513986642872431207680 cubed (5139866428724312076803) is 135786157576084748272211867926035780769489683823116085624832000
-
The
square root of 513986642872431207680 is 22671273516.7751705123 -
The
cube root of 513986642872431207680 is 8010333.7442626945
Scales and comparisons
How big is 513986642872431207680?- 513,986,642,872,431,207,680 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 513,986,642,872,431,207,680 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 513986642872431207680 cubic inches would be around 667527.8 feet tall.
Recreational maths with 513986642872431207680
- 513986642872431207680 backwards is 086702134278246689315
- The number of decimal digits it has is: 21
- The sum of 513986642872431207680's digits is 92
- More coming soon!
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MLA style:
"Number 513986642872431207680 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 513986642872431207680 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/513986642872431207680/
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Numbermatics. 2024. "Number 513986642872431207680 - Facts about the integer". https://numbermatics.com/n/513986642872431207680/
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