242072663970816
242,072,663,970,816 is an even composite number composed of five prime numbers multiplied together.
What does the number 242072663970816 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 792 divisors.
242072663970816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 242072663970816:
210 × 32 × 73 × 1012 × 7507
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 101 × 101 × 7507)See below for interesting mathematical facts about the number 242072663970816 from the Numbermatics database.
Names of 242072663970816
- Cardinal: 242072663970816 can be written as Two hundred forty-two trillion, seventy-two billion, six hundred sixty-three million, nine hundred seventy thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 2.42072663970816 × 1014
Factors of 242072663970816
Divisors of 242072663970816
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 101 112 126 128 144 147 168 192 196 202 224 252 256 288 294 303 336 343 384 392 404 441 448 504 512 576 588 606 672 686 707 768 784 808 882 896 909 1008 1024 1029 1152 1176 1212 1344 1372 1414 1536 1568 1616 1764 1792 1818 2016 2058 2121 2304 2352 2424 2688 2744 2828 3072 3087 3136 3232 3528 3584 3636 4032 4116 4242 4608 4704 4848 4949 5376 5488 5656 6174 6272 6363 6464 7056 7168 7272 7507 8064 8232 8484 9216 9408 9696 9898 10201 10752 10976 11312 12348 12544 12726 12928 14112 14544 14847 15014 16128 16464 16968 18816 19392 19796 20402 21504 21952 22521 22624 24696 25088 25452 25856 28224 29088 29694 30028 30603 32256 32928 33936 34643 37632 38784 39592 40804 43904 44541 45042 45248 49392 50176 50904 51712 52549 56448 58176 59388 60056 61206 64512 65856 67563 67872 69286 71407 75264 77568 79184 81608 87808 89082 90084 90496 91809 98784 101808 103424 103929 105098 112896 116352 118776 120112 122412 131712 135126 135744 138572 142814 150528 155136 157647 158368 163216 175616 178164 180168 180992 183618 197568 203616 207858 210196 214221 225792 232704 237552 240224 244824 263424 270252 271488 277144 285628 310272 311787 315294 316736 326432 351232 356328 360336 361984 367236 367843 395136 407232 415716 420392 428442 451584 465408 472941 475104 480448 489648 499849 526848 540504 542976 554288 571256 623574 630588 633472 642663 652864 712656 720672 723968 734472 735686 758207 790272 814464 831432 840784 856884 930816 945882 950208 960896 979296 999698 1053696 1081008 1085952 1103529 1108576 1142512 1247148 1261176 1266944 1285326 1305728 1425312 1441344 1468944 1471372 1499547 1516414 1580544 1628928 1662864 1681568 1713768 1891764 1900416 1921792 1958592 1999396 2162016 2171904 2207058 2217152 2274621 2285024 2494296 2522352 2533888 2570652 2574901 2611456 2850624 2882688 2937888 2942744 2999094 3032828 3161088 3257856 3310587 3325728 3363136 3427536 3498943 3783528 3800832 3843584 3917184 3998792 4324032 4414116 4434304 4498641 4549242 4570048 4988592 5044704 5067776 5141304 5149802 5222912 5307449 5701248 5765376 5875776 5885488 5998188 6065656 6515712 6621174 6651456 6726272 6823863 6855072 6997886 7567056 7601664 7687168 7724703 7834368 7997584 8648064 8828232 8868608 8997282 9098484 9140096 9977184 10089408 10282608 10299604 10445824 10496829 10614898 11402496 11530752 11751552 11770976 11996376 12131312 13242348 13302912 13452544 13647726 13710144 13995772 15134112 15203328 15449406 15668736 15922347 15995168 17296128 17656464 17737216 17994564 18196968 18280192 19954368 20178816 20565216 20599208 20993658 21229796 22804992 23061504 23174109 23503104 23541952 23992752 24262624 26484696 26605824 26905088 27295452 27420288 27991544 30268224 30898812 31337472 31490487 31844694 31990336 34592256 35312928 35474432 35989128 36393936 36560384 37152143 39908736 40357632 41130432 41198416 41987316 42459592 45609984 46348218 47006208 47083904 47767041 47985504 48525248 52969392 53211648 53810176 54590904 54840576 55983088 60536448 61797624 62980974 63689388 63980672 69184512 70625856 71978256 72787872 73120768 74304286 76578907 79817472 80715264 82260864 82396832 83974632 84919184 92696436 94012416 94167808 95534082 95971008 97050496 105938784 106423296 109181808 109681152 111456429 111966176 121072896 123595248 125961948 127378776 127961344 141251712 143956512 145575744 148608572 153157814 159634944 161430528 164521728 164793664 167949264 169838368 185392872 188335616 191068164 191942016 194100992 211877568 218363616 219362304 222912858 223932352 229736721 242145792 247190496 251923896 254757552 255922688 260065001 282503424 287913024 291151488 297217144 306315628 319269888 329043456 329587328 334369287 335898528 339676736 370785744 376671232 382136328 383884032 388201984 423755136 436727232 445825716 447864704 459473442 484291584 494380992 503847792 509515104 511845376 520130002 536052349 565006848 575826048 582302976 594434288 612631256 658086912 659174656 668738574 671797056 679353472 689210163 741571488 764272656 767768064 776403968 780195003 847510272 873454464 891651432 895729408 918946884 988761984 1007695584 1019030208 1040260004 1072104698 1130013696 1151652096 1164605952 1188868576 1225262512 1318349312 1337477148 1343594112 1358706944 1378420326 1483142976 1528545312 1535536128 1560390006 1608157047 1695020544 1746908928 1783302864 1791458816 1837893768 1977523968 2015391168 2038060416 2080520008 2144209396 2303304192 2329211904 2340585009 2377737152 2450525024 2636698624 2674954296 2687188224 2717413888 2756840652 2966285952 3057090624 3120780012 3216314094 3390041088 3493817856 3566605728 3582917632 3675787536 3752366443 3955047936 4030782336 4076120832 4161040016 4288418792 4606608384 4681170018 4755474304 4824471141 4901050048 5349908592 5374376448 5434827776 5513681304 5932571904 6114181248 6241560024 6432628188 6987635712 7133211456 7351575072 7504732886 7910095872 8061564672 8152241664 8322080032 8576837584 9362340036 9510948608 9648942282 9802100096 10699817184 10748752896 11027362608 11257099329 11865143808 12228362496 12483120048 12865256376 14266422912 14703150144 15009465772 16123129344 16304483328 16644160064 17153675168 18724680072 19021897216 19297884564 19604200192 21399634368 22054725216 22514198658 23730287616 24456724992 24966240096 25730512752 26266565101 28532845824 29406300288 30018931544 32246258688 33288320128 33771297987 34307350336 37449360144 38043794432 38595769128 39208400384 42799268736 44109450432 45028397316 48913449984 49932480192 51461025504 52533130202 57065691648 58812600576 60037863088 66576640256 67542595974 68614700672 74898720288 77191538256 78416800768 78799695303 85598537472 88218900864 90056794632 99864960384 102922051008 105066260404 114131383296 117625201152 120075726176 133153280512 135085191948 137229401344 149797440576 154383076512 157599390606 171197074944 176437801728 180113589264 199729920768 205844102016 210132520808 235250402304 236399085909 240151452352 266306561024 270170383896 274458802688 299594881152 308766153024 315198781212 342394149888 352875603456 360227178528 399459841536 411688204032 420265041616 472798171818 480302904704 540340767792 548917605376 599189762304 617532306048 630397562424 705751206912 720454357056 798919683072 823376408064 840530083232 945596343636 960605809408 1080681535584 1198379524608 1235064612096 1260795124848 1440908714112 1646752816128 1681060166464 1891192687272 1921211618816 2161363071168 2396759049216 2470129224192 2521590249696 2881817428224 3362120332928 3782385374544 3842423237632 4322726142336 4940258448384 5043180499392 5763634856448 6724240665856 7564770749088 8645452284672 10086360998784 11527269712896 13448481331712 15129541498176 17290904569344 20172721997568 26896962663424 30259082996352 34581809138688 40345443995136 60518165992704 80690887990272 121036331985408 242072663970816
- Sum of all divisors σ(n): 823396753025600
- Sum of proper divisors (its aliquot sum) s(n): 581324089054784
- 242072663970816 is an abundant number, because the sum of its proper divisors (581324089054784) is greater than itself. Its abundance is 339251425083968
Bases of 242072663970816
- Binary: 1101110000101001111011110010010101010100000000002
- Hexadecimal: 0xDC29EF255400
- Base-36: 2DT2N9ZWG0
Squares and roots of 242072663970816
- 242072663970816 squared (2420726639708162) is 58599174641927598748499705856
- 242072663970816 cubed (2420726639708163) is 14185258312062501611422374757902104968298496
-
The
square root of 242072663970816 is 15558684.5192906975 -
The
cube root of 242072663970816 is 62323.0333902061
Scales and comparisons
How big is 242072663970816?- 242,072,663,970,816 seconds is equal to 7,697,161 years, 48 weeks, 4 days, 2 hours, 33 minutes, 36 seconds.
-
To count from 1 to 242,072,663,970,816 would take you about nineteen million, two hundred forty-two thousand, nine hundred four 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 242072663970816 cubic inches would be around 5193.6 feet tall.
Recreational maths with 242072663970816
- 242072663970816 backwards is 618079366270242
- 242072663970816 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242072663970816's digits is 63
- 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 242072663970816 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 242072663970816 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/242072663970816/
Chicago style:
Numbermatics. 2024. "Number 242072663970816 - Facts about the integer". https://numbermatics.com/n/242072663970816/
The information we have on file for 242072663970816 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 242072663970816, math, Factors of 242072663970816, curriculum, school, college, exams, university, Prime factorization of 242072663970816, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two trillion, seventy-two billion, six hundred sixty-three million, nine hundred seventy thousand, eight hundred sixteen.