42145762313484480960
42,145,762,313,484,480,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 42145762313484480960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 448 divisors.
42145762313484480960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 42145762313484480960:
26 × 33 × 5 × 17 × 2153 × 133274548489
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 2153 × 133274548489)See below for interesting mathematical facts about the number 42145762313484480960 from the Numbermatics database.
Names of 42145762313484480960
- Cardinal: 42145762313484480960 can be written as Forty-two quintillion, one hundred forty-five quadrillion, seven hundred sixty-two trillion, three hundred thirteen billion, four hundred eighty-four million, four hundred eighty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.214576231348448096 × 1019
Factors of 42145762313484480960
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 133274550669
Divisors of 42145762313484480960
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 85 90 96 102 108 120 135 136 144 153 160 170 180 192 204 216 240 255 270 272 288 306 320 340 360 408 432 459 480 510 540 544 576 612 680 720 765 816 864 918 960 1020 1080 1088 1224 1360 1440 1530 1632 1728 1836 2040 2153 2160 2295 2448 2720 2880 3060 3264 3672 4080 4306 4320 4590 4896 5440 6120 6459 7344 8160 8612 8640 9180 9792 10765 12240 12918 14688 16320 17224 18360 19377 21530 24480 25836 29376 32295 34448 36601 36720 38754 43060 48960 51672 58131 64590 68896 73202 73440 77508 86120 96885 103344 109803 116262 129180 137792 146404 146880 155016 172240 183005 193770 206688 219606 232524 258360 290655 292808 310032 329409 344480 366010 387540 413376 439212 465048 516720 549015 581310 585616 620064 658818 688960 732020 775080 878424 930096 988227 1033440 1098030 1162620 1171232 1240128 1317636 1464040 1550160 1647045 1756848 1860192 1976454 2066880 2196060 2325240 2342464 2635272 2928080 3100320 3294090 3513696 3720384 3952908 4392120 4650480 4941135 5270544 5856160 6200640 6588180 7027392 7905816 8784240 9300960 9882270 10541088 11712320 13176360 15811632 17568480 18601920 19764540 21082176 26352720 31623264 35136960 39529080 52705440 63246528 79058160 105410880 158116320 316232640 133274548489 266549096978 399823645467 533098193956 666372742445 799647290934 1066196387912 1199470936401 1332745484890 1599294581868 1999118227335 2132392775824 2265667324313 2398941872802 2665490969780 3198589163736 3598412809203 3998236454670 4264785551648 4531334648626 4797883745604 5330981939560 5997354682005 6397178327472 6797001972939 7196825618406 7996472909340 8529571103296 9062669297252 9595767491208 10661963879120 11328336621565 11994709364010 12794356654944 13594003945878 14393651236812 15992945818680 17992064046015 18125338594504 19191534982416 20391005918817 21323927758240 22656673243130 23989418728020 25588713309888 27188007891756 28787302473624 31985891637360 33985009864695 35984128092030 36250677189008 38383069964832 40782011837634 42647855516480 45313346486260 47978837456040 54376015783512 57574604947248 61173017756451 63971783274720 67970019729390 71968256184060 72501354378016 76766139929664 81564023675268 90626692972520 95957674912080 101955029594085 108752031567024 115149209894496 122346035512902 127943566549440 135940039458780 143936512368120 145002708756032 163128047350536 181253385945040 191915349824160 203910059188170 217504063134048 230298419788992 244692071025804 271880078917560 286940102896817 287873024736240 305865088782255 326256094701072 362506771890080 383830699648320 407820118376340 435008126268096 489384142051608 543760157835120 573880205793634 575746049472480 611730177564510 652512189402144 725013543780160 815640236752680 860820308690451 978768284103216 1087520315670240 1147760411587268 1151492098944960 1223460355129020 1305024378804288 1434700514484085 1631280473505360 1721640617380902 1957536568206432 2175040631340480 2295520823174536 2446920710258040 2582460926071353 2869401028968170 3262560947010720 3443281234761804 3915073136412864 4304101543452255 4591041646349072 4877981749245889 4893841420516080 5164921852142706 5738802057936340 6525121894021440 6886562469523608 7747382778214059 8608203086904510 9182083292698144 9755963498491778 9787682841032160 10329843704285412 11477604115872680 12912304630356765 13773124939047216 14633945247737667 15494765556428118 17216406173809020 18364166585396288 19511926996983556 19575365682064320 20659687408570824 22955208231745360 24389908746229445 25824609260713530 27546249878094432 29267890495475334 30989531112856236 34432812347618040 38736913891070295 39023853993967112 41319374817141648 43901835743213001 45910416463490720 48779817492458890 51649218521427060 55092499756188864 58535780990950668 61979062225712472 68865624695236080 73169726238688335 77473827782140590 78047707987934224 82638749634283296 87803671486426002 91820832926981440 97559634984917780 103298437042854120 117071561981901336 123958124451424944 131705507229639003 137731249390472160 146339452477376670 154947655564281180 156095415975868448 165277499268566592 175607342972852004 195119269969835560 206596874085708240 219509178716065005 234143123963802672 247916248902849888 263411014459278006 275462498780944320 292678904954753340 309895311128562360 312190831951736896 351214685945704008 390238539939671120 413193748171416480 439018357432130010 468286247927605344 495832497805699776 526822028918556012 585357809909506680 619790622257124720 658527536148195015 702429371891408016 780477079879342240 826387496342832960 878036714864260020 936572495855210688 1053644057837112024 1170715619819013360 1239581244514249440 1317055072296390030 1404858743782816032 1560954159758684480 1756073429728520040 2107288115674224048 2341431239638026720 2479162489028498880 2634110144592780060 2809717487565632064 3512146859457040080 4214576231348448096 4682862479276053440 5268220289185560120 7024293718914080160 8429152462696896192 10536440578371120240 14048587437828160320 21072881156742240480 42145762313484480960
- Sum of all divisors σ(n): 157499937802774454400
- Sum of proper divisors (its aliquot sum) s(n): 115354175489289973440
- 42145762313484480960 is an abundant number, because the sum of its proper divisors (115354175489289973440) is greater than itself. Its abundance is 73208413175805492480
Bases of 42145762313484480960
- Binary: 1001001000111000111101001110000110101110110100100110110001110000002
- Hexadecimal: 0x248E3D386BB49B1C0
- Base-36: 8W7C1V2AOLIO0
Squares and roots of 42145762313484480960
- 42145762313484480960 squared (421457623134844809602) is 1776265280984728748739902842760602521600
- 42145762313484480960 cubed (421457623134844809603) is 74862054338077103135715994599230473555589434220643188736000
-
The
square root of 42145762313484480960 is 6491976764.7061461861 -
The
cube root of 42145762313484480960 is 3480043.2216381881
Scales and comparisons
How big is 42145762313484480960?- 42,145,762,313,484,480,960 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,145,762,313,484,480,960 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 42145762313484480960 cubic inches would be around 290003.6 feet tall.
Recreational maths with 42145762313484480960
- 42145762313484480960 backwards is 06908448431326754124
- The number of decimal digits it has is: 20
- The sum of 42145762313484480960's digits is 81
- More coming soon!
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The information we have on file for 42145762313484480960 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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