442993082012064
442,993,082,012,064 is an even composite number composed of six prime numbers multiplied together.
442993082012064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 442993082012064:
25 × 33 × 19 × 312 × 1272 × 1741
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 31 × 31 × 127 × 127 × 1741)See below for interesting mathematical facts about the number 442993082012064 from the Numbermatics database.
Names of 442993082012064
- Cardinal: 442993082012064 can be written as Four hundred forty-two trillion, nine hundred ninety-three billion, eighty-two million, twelve thousand and sixty-four.
Scientific notation
- Scientific notation: 4.42993082012064 × 1014
Factors of 442993082012064
Divisors of 442993082012064
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 31 32 36 38 48 54 57 62 72 76 93 96 108 114 124 127 144 152 171 186 216 228 248 254 279 288 304 342 372 381 432 456 496 508 513 558 589 608 684 744 762 837 864 912 961 992 1016 1026 1116 1143 1178 1368 1488 1524 1674 1741 1767 1824 1922 2032 2052 2232 2286 2356 2413 2736 2883 2976 3048 3348 3429 3482 3534 3844 3937 4064 4104 4464 4572 4712 4826 5223 5301 5472 5766 6096 6696 6858 6964 7068 7239 7688 7874 8208 8649 8928 9144 9424 9652 10446 10602 11532 11811 12192 13392 13716 13928 14136 14478 15376 15669 15748 15903 16129 16416 17298 18259 18288 18848 19304 20892 21204 21717 23064 23622 25947 26784 27432 27856 28272 28956 30752 31338 31496 31806 32258 33079 34596 35433 36518 36576 38608 41784 42408 43434 46128 47007 47244 48387 51894 53971 54777 54864 55712 56544 57912 62676 62992 63612 64516 65151 66158 69192 70866 73036 74803 77216 83568 84816 86868 92256 94014 94488 96774 99237 103788 106299 107942 109554 109728 115824 122047 125352 125984 127224 129032 130302 132316 138384 141732 145161 146072 149606 161913 164331 167136 169632 173736 188028 188976 193548 198474 207576 212598 215884 219108 221107 224409 231648 244094 250704 254448 258064 260604 264632 276768 283464 290322 292144 297711 299212 306451 323826 328662 347472 366141 376056 377952 387096 396948 415152 425196 431768 435483 438216 442214 448818 485739 488188 492993 499999 501408 508896 516128 521208 529264 566928 580644 584288 595422 598424 612902 647652 657324 663321 673227 694944 732282 752112 774192 793896 830304 850392 863536 870966 876432 884428 893133 897636 919353 971478 976376 985986 999998 1025449 1042416 1058528 1098423 1133856 1161288 1190844 1196848 1225804 1295304 1314648 1326642 1346454 1457217 1464564 1499997 1504224 1548384 1587792 1673101 1700784 1727072 1741932 1752864 1768856 1786266 1795272 1838706 1942956 1952752 1971972 1989963 1999996 2019681 2050898 2084832 2196846 2318893 2322576 2381688 2393696 2451608 2590608 2629296 2653284 2692908 2758059 2914434 2929128 2999994 3076347 3175584 3295269 3346202 3401568 3483864 3537712 3572532 3590544 3677412 3885912 3905504 3943944 3979926 3999992 4039362 4101796 4201033 4393692 4499991 4637786 4645152 4763376 4903216 5019303 5181216 5258592 5306568 5385816 5516118 5828868 5858256 5969889 5999988 6152694 6590538 6692404 6854317 6956679 6967728 7075424 7145064 7181088 7354824 7771824 7887888 7959852 7999984 8078724 8203592 8274177 8402066 8787384 8999982 9229041 9275572 9499981 9526752 9806432 10038606 10613136 10771632 11032236 11657736 11716512 11939778 11999976 12305388 12603099 13181076 13384808 13499973 13708634 13913358 13935456 14290128 14709648 15057909 15499969 15543648 15775776 15919704 15999968 16157448 16407184 16548354 16804132 17574768 17999964 18458082 18551144 18999962 20077212 20562951 20870037 21226272 21543264 22064472 23315472 23879556 23999952 24610776 25206198 26362152 26769616 26999946 27417268 27687123 27826716 28080589 28499943 28580256 29419296 30115818 30999938 31788919 31839408 32314896 32814368 33096708 33608264 35149536 35999928 36916164 37102288 37809297 37999924 40154424 41125902 41740074 44128944 45173727 46499907 46630944 47759112 47999904 49221552 50412396 52724304 53539232 53999892 54834536 55374246 55653432 56161178 56999886 60231636 61688853 61999876 62610111 63577838 63678816 64629792 66193416 67216528 71999856 73832328 74204576 75618594 75999848 80308848 82251804 83480148 84241767 85499829 88257888 90347454 92999814 95366757 95518224 98443104 100824792 105448608 107999784 109669072 110748492 111306864 112322356 113427891 113999772 120463272 123377706 123999752 125220222 127155676 130232023 132386832 134433056 139499721 143999712 147664656 151237188 151999696 160617696 164503608 166960296 168483534 170999658 180694908 185066559 185999628 190733514 191036448 201649584 212483827 215999568 219338144 221496984 222613728 224644712 226855782 227999544 240926544 246755412 247999504 250440444 252725301 254311352 256499487 260464046 264773664 278999442 286100271 294499411 295329312 302474376 303999392 329007216 333920592 336967068 341999316 361389816 370133118 371999256 381467028 390696069 403299168 418499163 424967654 431999136 442993968 449289424 453711564 455999088 481853088 493510824 495999008 500880888 505450602 508622704 512998974 520928092 533531191 557998884 572200542 588998822 604948752 637451481 658014432 667841184 673934136 683998632 722779632 740266236 743998512 758175903 762934056 781392138 836998326 849935308 858300813 870498259 883498233 885987936 898578848 907423128 911998176 987021648 1001761776 1010901204 1017245408 1025997948 1041856184 1067062382 1115997768 1144401084 1172088207 1177997644 1209897504 1274902962 1347868272 1367997264 1445559264 1480532472 1487997024 1516351806 1525868112 1562784276 1600593573 1673996652 1699870616 1716601626 1740996518 1766996466 1814846256 1912354443 1974043296 2003523552 2021802408 2051995896 2083712368 2134124764 2231995536 2288802168 2344176414 2355995288 2549805924 2611494777 2650494699 2695736544 2735994528 2961064944 3032703612 3051736224 3125568552 3201187146 3347993304 3399741232 3433203252 3481993036 3516264621 3533992932 3629692512 3824708886 4037192713 4043604816 4103991792 4167424736 4268249528 4463991072 4577604336 4688352828 4711990576 4801780719 5099611848 5222989554 5300989398 5737063329 5922129888 6065407224 6251137104 6402374292 6695986608 6799482464 6866406504 6963986072 7032529242 7067985864 7649417772 7834484331 7951484097 8074385426 8087209632 8207983584 8536499056 9155208672 9376705656 9423981152 9603561438 10199223696 10445979108 10601978796 11474126658 12111578139 12130814448 12502274208 12804748584 13391973216 13732813008 13927972144 14065058484 14135971728 14405342157 15298835544 15668968662 15902968194 16148770852 16539466921 17072998112 18753411312 19207122876 20398447392 20891958216 21203957592 22948253316 23503452993 24223156278 24261628896 25609497168 26985446029 27465626016 27855944288 28130116968 28271943456 28810684314 30597671088 31337937324 31805936388 32297541704 33078933842 36334734417 37506822624 38414245752 41783916432 42407915184 45896506632 47006905986 48446312556 49618400763 51218994336 53970892058 56260233936 57621368628 61195342176 62675874648 63611872776 64595083408 66157867684 72669468834 76828491504 80956338087 83567832864 84815830368 91793013264 94013811972 96892625112 99236801526 107941784116 109004203251 112520467872 115242737256 125351749296 127223745552 129190166816 132315735368 145338937668 148855202289 153656983008 161912676174 183586026528 188027623944 193785250224 198473603052 215883568232 218008406502 230485474512 242869014261 250703498592 254447491104 264631470736 290677875336 297710404578 323825352348 376055247888 387570500448 396947206104 431767136464 436016813004 446565606867 460970949024 485738028522 512723474551 529262941472 581355750672 595420809156 647650704696 728607042783 752110495776 793894412208 863534272928 872033626008 893131213734 971476057044 1025446949102 1162711501344 1190841618312 1295301409392 1457214085566 1538170423653 1587788824416 1744067252016 1786262427468 1942952114088 2050893898204 2381683236624 2590602818784 2914428171132 3076340847306 3488134504032 3572524854936 3885904228176 4101787796408 4614511270959 4763366473248 5828856342264 6152681694612 7145049709872 7771808456352 8203575592816 9229022541918 11657712684528 12305363389224 13843533812877 14290099419744 16407151185632 18458045083836 23315425369056 24610726778448 27687067625754 36916090167672 49221453556896 55374135251508 73832180335344 110748270503016 147664360670688 221496541006032 442993082012064
- Sum of all divisors σ(n): 1417321389556800
- Sum of proper divisors (its aliquot sum) s(n): 974328307544736
- 442993082012064 is an abundant number, because the sum of its proper divisors (974328307544736) is greater than itself. Its abundance is 531335225532672
Bases of 442993082012064
- Binary: 11001001011100110010111010100101010010001101000002
- Hexadecimal: 0x192E65D4A91A0
- Base-36: 4D107NACO0
Squares and roots of 442993082012064
- 442993082012064 squared (4429930820120642) is 196242870710547261082641540096
- 442993082012064 cubed (4429930820120643) is 86934234118960335085910074706054603411718144
-
The
square root of 442993082012064 is 21047400.8374446083 -
The
cube root of 442993082012064 is 76231.1224868627
Scales and comparisons
How big is 442993082012064?- 442,993,082,012,064 seconds is equal to 14,085,809 years, 38 weeks, 3 days, 12 hours, 14 minutes, 24 seconds.
-
To count from 1 to 442,993,082,012,064 would take you about thirty-five million, two hundred fourteen thousand, five hundred twenty-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 442993082012064 cubic inches would be around 6352.6 feet tall.
Recreational maths with 442993082012064
- 442993082012064 backwards is 460210280399244
- 442993082012064 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 442993082012064's digits is 54
- 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 442993082012064 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 442993082012064 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/442993082012064/
Chicago style:
Numbermatics. 2024. "Number 442993082012064 - Facts about the integer". https://numbermatics.com/n/442993082012064/
The information we have on file for 442993082012064 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 442993082012064, math, Factors of 442993082012064, curriculum, school, college, exams, university, Prime factorization of 442993082012064, STEM, science, technology, engineering, physics, economics, calculator, four hundred forty-two trillion, nine hundred ninety-three billion, eighty-two million, twelve thousand and sixty-four.