164141825536000648800
164,141,825,536,000,648,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 164141825536000648800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
164141825536000648800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 164141825536000648800:
25 × 32 × 52 × 31 × 18401 × 39965352109
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 18401 × 39965352109)See below for interesting mathematical facts about the number 164141825536000648800 from the Numbermatics database.
Names of 164141825536000648800
- Cardinal: 164141825536000648800 can be written as One hundred sixty-four quintillion, one hundred forty-one quadrillion, eight hundred twenty-five trillion, five hundred thirty-six billion, six hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.641418255360006488 × 1020
Factors of 164141825536000648800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 39965370551
Divisors of 164141825536000648800
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 72 75 80 90 93 96 100 120 124 144 150 155 160 180 186 200 225 240 248 279 288 300 310 360 372 400 450 465 480 496 558 600 620 720 744 775 800 900 930 992 1116 1200 1240 1395 1440 1488 1550 1800 1860 2232 2325 2400 2480 2790 2976 3100 3600 3720 4464 4650 4960 5580 6200 6975 7200 7440 8928 9300 11160 12400 13950 14880 18401 18600 22320 24800 27900 36802 37200 44640 55203 55800 73604 74400 92005 110406 111600 147208 165609 184010 220812 223200 276015 294416 331218 368020 441624 460025 552030 570431 588832 662436 736040 828045 883248 920050 1104060 1140862 1324872 1380075 1472080 1656090 1711293 1766496 1840100 2208120 2281724 2649744 2760150 2852155 2944160 3312180 3422586 3680200 4140225 4416240 4563448 5133879 5299488 5520300 5704310 6624360 6845172 7360400 8280450 8556465 8832480 9126896 10267758 11040600 11408620 13248720 13690344 14260775 14720800 16560900 17112930 18253792 20535516 22081200 22817240 25669395 26497440 27380688 28521550 33121800 34225860 41071032 42782325 44162400 45634480 51338790 54761376 57043100 66243600 68451720 82142064 85564650 91268960 102677580 114086200 128346975 132487200 136903440 164284128 171129300 205355160 228172400 256693950 273806880 342258600 410710320 456344800 513387900 684517200 821420640 1026775800 1369034400 2053551600 4107103200 39965352109 79930704218 119896056327 159861408436 199826760545 239792112654 319722816872 359688168981 399653521090 479584225308 599480281635 639445633744 719376337962 799307042180 959168450616 999133802725 1198960563270 1238925915379 1278891267488 1438752675924 1598614084360 1798440844905 1918336901232 1998267605450 2397921126540 2477851830758 2877505351848 2997401408175 3197228168720 3596881689810 3716777746137 3836673802464 3996535210900 4795842253080 4955703661516 5755010703696 5994802816350 6194629576895 6394456337440 7193763379620 7433555492274 7993070421800 8992204224525 9591684506160 9911407323032 11150333238411 11510021407392 11989605632700 12389259153790 14387526759240 14867110984548 15986140843600 17984408449050 18583888730685 19183369012320 19822814646064 22300666476822 23979211265400 24778518307580 28775053518480 29734221969096 30973147884475 31972281687200 35968816898100 37167777461370 39645629292128 44601332953644 47958422530800 49557036615160 55751666192055 57550107036960 59468443938192 61946295768950 71937633796200 74335554922740 89202665907288 92919443653425 95916845061600 99114073230320 111503332384110 118936887876384 123892591537900 143875267592400 148671109845480 178405331814576 185838887306850 198228146460640 223006664768220 247785183075800 278758330960275 287750535184800 297342219690960 356810663629152 371677774613700 446013329536440 495570366151600 557516661920550 594684439381920 735402444157709 743355549227400 892026659072880 991140732303200 1115033323841100 1470804888315418 1486711098454800 1784053318145760 2206207332473127 2230066647682200 2941609776630836 2973422196909600 3677012220788545 4412414664946254 4460133295364400 5883219553261672 6618621997419381 7354024441577090 8824829329892508 8920266590728800 11031036662365635 11766439106523344 13237243994838762 14708048883154180 17649658659785016 18385061103942725 22062073324731270 22797475768888979 23532878213046688 26474487989677524 29416097766308360 33093109987096905 35299317319570032 36770122207885450 44124146649462540 45594951537777958 52948975979355048 55155183311828175 58832195532616720 66186219974193810 68392427306666937 70598634639140064 73540244415770900 88248293298925080 91189903075555916 105897951958710096 110310366623656350 113987378844444895 117664391065233440 132372439948387620 136784854613333874 147080488831541800 165465549935484525 176496586597850160 182379806151111832 205177281920000811 211795903917420192 220620733247312700 227974757688889790 264744879896775240 273569709226667748 294160977663083600 330931099870969050 341962136533334685 352993173195700320 364759612302223664 410354563840001622 441241466494625400 455949515377779580 529489759793550480 547139418453335496 569936894222224475 588321955326167200 661862199741938100 683924273066669370 729519224604447328 820709127680003244 882482932989250800 911899030755559160 1025886409600004055 1058979519587100960 1094278836906670992 1139873788444448950 1323724399483876200 1367848546133338740 1641418255360006488 1709810682666673425 1764965865978501600 1823798061511118320 2051772819200008110 2188557673813341984 2279747576888897900 2647448798967752400 2735697092266677480 3282836510720012976 3419621365333346850 3647596123022236640 4103545638400016220 4559495153777795800 5129432048000020275 5294897597935504800 5471394184533354960 6565673021440025952 6839242730666693700 8207091276800032440 9118990307555591600 10258864096000040550 10942788369066709920 13678485461333387400 16414182553600064880 18237980615111183200 20517728192000081100 27356970922666774800 32828365107200129760 41035456384000162200 54713941845333549600 82070912768000324400 164141825536000648800
- Sum of all divisors σ(n): 597508714736383282560
- Sum of proper divisors (its aliquot sum) s(n): 433366889200382633760
- 164141825536000648800 is an abundant number, because the sum of its proper divisors (433366889200382633760) is greater than itself. Its abundance is 269225063664381984960
Bases of 164141825536000648800
- Binary: 100011100101111011001110100010101010000100010111010111100110011000002
- Hexadecimal: 0x8E5ECE8AA1175E660
- Base-36: YN2M51BF0TZS0
Squares and roots of 164141825536000648800
- 164141825536000648800 squared (1641418255360006488002) is 26942538890290874677728815514020941440000
- 164141825536000648800 cubed (1641418255360006488003) is 4422397518027037275963835481541846442150458108626806272000000
-
The
square root of 164141825536000648800 is 12811784635.0928272541 -
The
cube root of 164141825536000648800 is 5475281.0879754443
Scales and comparisons
How big is 164141825536000648800?- 164,141,825,536,000,648,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 164,141,825,536,000,648,800 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 164141825536000648800 cubic inches would be around 456273.4 feet tall.
Recreational maths with 164141825536000648800
- 164141825536000648800 backwards is 008846000635528141461
- 164141825536000648800 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 164141825536000648800's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 164141825536000648800 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 164141825536000648800 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/164141825536000648800/
Chicago style:
Numbermatics. 2024. "Number 164141825536000648800 - Facts about the integer". https://numbermatics.com/n/164141825536000648800/
The information we have on file for 164141825536000648800 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!
Keywords: Divisors of 164141825536000648800, math, Factors of 164141825536000648800, curriculum, school, college, exams, university, Prime factorization of 164141825536000648800, STEM, science, technology, engineering, physics, economics, calculator, one hundred sixty-four quintillion, one hundred forty-one quadrillion, eight hundred twenty-five trillion, five hundred thirty-six billion, six hundred forty-eight thousand, eight hundred.