34290085315200
34,290,085,315,200 is an even composite number composed of seven prime numbers multiplied together.
34290085315200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 34290085315200:
27 × 3 × 52 × 11 × 13 × 101 × 247309
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 101 × 247309)See below for interesting mathematical facts about the number 34290085315200 from the Numbermatics database.
Names of 34290085315200
- Cardinal: 34290085315200 can be written as Thirty-four trillion, two hundred ninety billion, eighty-five million, three hundred fifteen thousand, two hundred.
Scientific notation
- Scientific notation: 3.42900853152 × 1013
Factors of 34290085315200
Divisors of 34290085315200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 55 60 64 65 66 75 78 80 88 96 100 101 104 110 120 128 130 132 143 150 156 160 165 176 192 195 200 202 208 220 240 260 264 275 286 300 303 312 320 325 330 352 384 390 400 404 416 429 440 480 505 520 528 550 572 600 606 624 640 650 660 704 715 780 800 808 825 832 858 880 960 975 1010 1040 1056 1100 1111 1144 1200 1212 1248 1300 1313 1320 1408 1430 1515 1560 1600 1616 1650 1664 1716 1760 1920 1950 2020 2080 2112 2145 2200 2222 2288 2400 2424 2496 2525 2600 2626 2640 2860 3030 3120 3200 3232 3300 3333 3432 3520 3575 3900 3939 4040 4160 4224 4290 4400 4444 4576 4800 4848 4992 5050 5200 5252 5280 5555 5720 6060 6240 6464 6565 6600 6666 6864 7040 7150 7575 7800 7878 8080 8320 8580 8800 8888 9152 9600 9696 10100 10400 10504 10560 10725 11110 11440 12120 12480 12928 13130 13200 13332 13728 14300 14443 15150 15600 15756 16160 16665 17160 17600 17776 18304 19392 19695 20200 20800 21008 21120 21450 22220 22880 24240 24960 26260 26400 26664 27456 27775 28600 28886 30300 31200 31512 32320 32825 33330 34320 35200 35552 38784 39390 40400 41600 42016 42900 43329 44440 45760 48480 52520 52800 53328 54912 55550 57200 57772 60600 62400 63024 64640 65650 66660 68640 71104 72215 78780 80800 83325 84032 85800 86658 88880 91520 96960 98475 105040 105600 106656 111100 114400 115544 121200 124800 126048 131300 133320 137280 142208 144430 157560 161600 166650 168064 171600 173316 177760 193920 196950 210080 213312 216645 222200 228800 231088 242400 247309 252096 262600 266640 274560 288860 315120 323200 333300 343200 346632 355520 361075 393900 420160 426624 433290 444400 457600 462176 484800 494618 504192 525200 533280 577720 630240 666600 686400 693264 711040 722150 741927 787800 840320 866580 888800 924352 969600 989236 1050400 1066560 1083225 1155440 1236545 1260480 1333200 1372800 1386528 1444300 1483854 1575600 1733160 1777600 1848704 1978472 2100800 2133120 2166450 2310880 2473090 2520960 2666400 2720399 2773056 2888600 2967708 3151200 3215017 3466320 3555200 3709635 3956944 4201600 4332900 4621760 4946180 5332800 5440798 5546112 5777200 5935416 6182725 6302400 6430034 6932640 7419270 7913888 8161197 8665800 9243520 9645051 9892360 10665600 10881596 11554400 11870832 12365450 12604800 12860068 13601995 13865280 14838540 15827776 16075085 16322394 17331600 18548175 19290102 19784720 21763192 23108800 23741664 24730900 24978209 25720136 27203990 27730560 29677080 31655552 32150170 32644788 34663200 35365187 37096350 38580204 39569440 40805985 43526384 46217600 47483328 48225255 49461800 49956418 51440272 54407980 59354160 64300340 65289576 68009975 69326400 70730374 74192700 74934627 77160408 79138880 80375425 81611970 87052768 94966656 96450510 98923600 99912836 102880544 106095561 108815960 118708320 124891045 128600680 130579152 136019950 138652800 141460748 148385400 149869254 154320816 158277760 160750850 163223940 174105536 176825935 192901020 197847200 199825672 204029925 205761088 212191122 217631920 237416640 241126275 249782090 257201360 261158304 272039900 274760299 282921496 296770800 299738508 308641632 321501700 324716717 326447880 348211072 353651870 374673135 385802040 395694400 399651344 408059850 411522176 424382244 435263840 474833280 482252550 499564180 514402720 522316608 530477805 544079800 549520598 565842992 593541600 599477016 617283264 624455225 643003400 649433434 652895760 707303740 749346270 771604080 791388800 799302688 816119700 824280897 848764488 870527680 884129675 964505100 974150151 999128360 1028805440 1044633216 1060955610 1088159600 1099041196 1131685984 1187083200 1198954032 1234566528 1248910450 1286006800 1298866868 1305791520 1373801495 1414607480 1498692540 1543208160 1598605376 1623583585 1632239400 1648561794 1697528976 1741055360 1768259350 1873365675 1929010200 1948300302 1998256720 2057610880 2121911220 2176319200 2198082392 2263371968 2374166400 2397908064 2497820900 2572013600 2597733736 2611583040 2652389025 2747602990 2829214960 2997385080 3086416320 3197210752 3247167170 3264478800 3297123588 3395057952 3536518700 3571883887 3746731350 3858020400 3896600604 3996513440 4121404485 4243822440 4352638400 4396164784 4526743936 4795816128 4870750755 4995641800 5144027200 5195467472 5223166080 5304778050 5495205980 5658429920 5994770160 6172832640 6494334340 6528957600 6594247176 6790115904 6869007475 7073037400 7143767774 7493462700 7716040800 7793201208 7993026880 8117917925 8242808970 8487644880 8705276800 8792329568 9591632256 9741501510 9991283600 10288054400 10390934944 10609556100 10715651661 10990411960 11316859840 11989540320 12988668680 13057915200 13188494352 13580231808 13738014950 14146074800 14287535548 14986925400 15432081600 15586402416 15986053760 16235835850 16485617940 16975289760 17584659136 17859419435 19483003020 19982567200 20607022425 20781869888 21219112200 21431303322 21980823920 22633719680 23979080640 24353753775 25977337360 26115830400 26376988704 27476029900 28292149600 28575071096 29973850800 30864163200 31172804832 32471671700 32971235880 33950579520 35169318272 35718838870 38966006040 39965134400 41214044850 41563739776 42438224400 42862606644 43961647840 47958161280 48707507550 51954674720 52753977408 53578258305 54952059800 56584299200 57150142192 59947701600 62345609664 64943343400 65942471760 67901159040 71437677740 77932012080 79930268800 82428089700 84876448800 85725213288 87923295680 89297097175 97415015100 103909349440 105507954816 107156516610 109904119600 113168598400 114300284384 119895403200 124691219328 129886686800 131884943520 142875355480 155864024160 164856179400 169752897600 171450426576 175846591360 178594194350 194830030200 207818698880 214313033220 219808239200 228600568768 239790806400 259773373600 263769887040 267891291525 285750710960 311728048320 329712358800 339505795200 342900853152 357188388700 389660060400 428626066440 439616478400 457201137536 519546747200 527539774080 535782583050 571501421920 623456096640 659424717600 685801706304 714376777400 779320120800 857252132880 879232956800 1039093494400 1071565166100 1143002843840 1318849435200 1371603412608 1428753554800 1558640241600 1714504265760 2143130332200 2286005687680 2637698870400 2857507109600 3117280483200 3429008531520 4286260664400 5715014219200 6858017063040 8572521328800 11430028438400 17145042657600 34290085315200
- Sum of all divisors σ(n): 134002529539200
- Sum of proper divisors (its aliquot sum) s(n): 99712444224000
- 34290085315200 is an abundant number, because the sum of its proper divisors (99712444224000) is greater than itself. Its abundance is 65422358908800
Bases of 34290085315200
- Binary: 1111100101111110010000101101011000010100000002
- Hexadecimal: 0x1F2FC85AC280
- Base-36: C5KNBGAYO
Squares and roots of 34290085315200
- 34290085315200 squared (342900853152002) is 1175809950923694683351040000
- 34290085315200 cubed (342900853152003) is 40318623531634615737303810630647808000000
-
The
square root of 34290085315200 is 5855773.6734952453 -
The
cube root of 34290085315200 is 32487.9909288197
Scales and comparisons
How big is 34290085315200?- 34,290,085,315,200 seconds is equal to 1,090,318 years, 33 weeks, 4 days, 10 hours, 40 minutes.
-
To count from 1 to 34,290,085,315,200 would take you about two million, seven hundred twenty-five thousand, seven hundred ninety-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 34290085315200 cubic inches would be around 2707.3 feet tall.
Recreational maths with 34290085315200
- 34290085315200 backwards is 00251358009243
- The number of decimal digits it has is: 14
- The sum of 34290085315200's digits is 42
- 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 34290085315200 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 34290085315200 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/34290085315200/
Chicago style:
Numbermatics. 2024. "Number 34290085315200 - Facts about the integer". https://numbermatics.com/n/34290085315200/
The information we have on file for 34290085315200 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 34290085315200, math, Factors of 34290085315200, curriculum, school, college, exams, university, Prime factorization of 34290085315200, STEM, science, technology, engineering, physics, economics, calculator, thirty-four trillion, two hundred ninety billion, eighty-five million, three hundred fifteen thousand, two hundred.