3442133407104
3,442,133,407,104 is an even composite number composed of seven prime numbers multiplied together.
3442133407104 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 3442133407104:
27 × 32 × 7 × 17 × 41 × 757 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 17 × 41 × 757 × 809)See below for interesting mathematical facts about the number 3442133407104 from the Numbermatics database.
Names of 3442133407104
- Cardinal: 3442133407104 can be written as Three trillion, four hundred forty-two billion, one hundred thirty-three million, four hundred seven thousand, one hundred four.
Scientific notation
- Scientific notation: 3.442133407104 × 1012
Factors of 3442133407104
Divisors of 3442133407104
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 41 42 48 51 56 63 64 68 72 82 84 96 102 112 119 123 126 128 136 144 153 164 168 192 204 224 238 246 252 272 287 288 306 328 336 357 369 384 408 448 476 492 504 544 574 576 612 656 672 697 714 738 757 809 816 861 896 952 984 1008 1071 1088 1148 1152 1224 1312 1344 1394 1428 1476 1514 1618 1632 1722 1904 1968 2016 2091 2142 2176 2271 2296 2427 2448 2583 2624 2688 2788 2856 2952 3028 3236 3264 3444 3808 3936 4032 4182 4284 4542 4592 4854 4879 4896 5166 5248 5299 5576 5663 5712 5904 6056 6273 6472 6528 6813 6888 7281 7616 7872 8064 8364 8568 9084 9184 9708 9758 9792 10332 10598 11152 11326 11424 11808 12112 12546 12869 12944 13626 13753 13776 14562 14637 15232 15744 15897 16728 16989 17136 18168 18368 19416 19516 19584 20664 21196 22304 22652 22848 23616 24224 25092 25738 25888 27252 27506 27552 29124 29274 31037 31794 33169 33456 33978 34272 36336 36736 38607 38832 39032 41259 41328 42392 43911 44608 45304 45696 47232 47691 48448 50184 50967 51476 51776 54504 55012 55104 58248 58548 62074 63588 66338 66912 67956 68544 72672 77214 77664 78064 82518 82656 84784 87822 89216 90083 90608 93111 95382 96271 96896 99507 100368 101934 102952 103552 109008 110024 110208 115821 116496 117096 123777 124148 127176 132676 133824 135912 137088 145344 154428 155328 156128 165036 165312 169568 175644 180166 181216 186222 190764 192542 199014 200736 203868 205904 217259 218016 220048 231642 232183 232992 234192 247554 248296 254352 265352 267648 270249 271824 279333 288813 290688 298521 308856 310656 312256 330072 330624 339136 351288 360332 362432 372444 381528 385084 398028 401472 407736 411808 434518 436032 440096 463284 464366 465984 468384 495108 496592 508704 527629 530704 540498 543648 558666 563873 577626 597042 612413 617712 624512 651777 660144 678272 696549 702576 720664 724864 744888 763056 770168 796056 802944 810747 815472 823616 866439 869036 872064 880192 926568 928732 931968 936768 990216 993184 1017408 1055258 1061408 1080996 1087296 1117332 1127746 1155252 1194084 1224826 1235424 1303554 1320288 1393098 1405152 1441328 1489776 1526112 1540336 1582887 1592112 1621494 1630944 1647232 1691619 1732878 1738072 1760384 1837239 1853136 1857464 1873536 1955331 1980432 1986368 2034816 2089647 2110516 2122816 2161992 2174592 2234664 2255492 2310504 2388168 2449652 2470848 2607108 2640576 2786196 2810304 2882656 2979552 3052224 3080672 3165774 3184224 3242988 3261888 3383238 3465756 3476144 3674478 3693403 3706272 3714928 3910662 3947111 3960864 3972736 4179294 4221032 4245632 4286891 4323984 4469328 4510984 4621008 4748661 4776336 4899304 4941696 5074857 5214216 5281152 5511717 5572392 5620608 5765312 5959104 6104448 6161344 6331548 6368448 6485976 6523776 6766476 6931512 6952288 7348956 7386806 7412544 7429856 7821324 7894222 7921728 8358588 8442064 8573782 8647968 8938656 9021968 9242016 9497322 9552672 9798608 10149714 10411021 10428432 11023434 11080209 11144784 11530624 11841333 11918208 12322688 12663096 12736896 12860673 12971952 13532952 13863024 13904576 14697912 14773612 14825088 14859712 15642648 15788444 15843456 16717176 16884128 17147564 17295936 17877312 18043936 18484032 18994644 19105344 19597216 20299428 20822042 20856864 22046868 22160418 22289568 23682666 25108933 25326192 25721346 25943904 27065904 27726048 27809152 29395824 29547224 29719424 31233063 31285296 31576888 33240627 33434352 33768256 34295128 34591872 35523999 35754624 36087872 36968064 37989288 38210688 38582019 39194432 40598856 41644084 41713728 44093736 44320836 44579136 47365332 50217866 50652384 51442692 51887808 54131808 55452096 58791648 59094448 62466126 62570592 63153776 66481254 66868704 67536512 68590256 71047998 72175744 72877147 75326799 75978576 77164038 78388864 81197712 83288168 83427456 88187472 88641672 89158272 93699189 94730664 100435732 101304768 102885384 103775616 108263616 110904192 117583296 118188896 124932252 125141184 126307552 132962508 133737408 137180512 142095996 145754294 150653598 151957152 154328076 162395424 166576336 175762531 176374944 177283344 187398378 189461328 200871464 202609536 205770768 216527232 218631441 225980397 235166592 236377792 249864504 250282368 252615104 265925016 267474816 274361024 284191992 291508588 301307196 303914304 308656152 324790848 333152672 351525062 352749888 354566688 374796756 378922656 401742928 411541536 426851861 437262882 451960794 472755584 499729008 505230208 527287593 531850032 548722048 568383984 583017176 602614392 607828608 617312304 649581696 655894323 666305344 703050124 705499776 709133376 749593512 757845312 803485856 823083072 853703722 874525764 903921588 999458016 1054575186 1063700064 1136767968 1166034352 1205228784 1234624608 1280555583 1311788646 1332610688 1406100248 1418266752 1499187024 1515690624 1581862779 1606971712 1646166144 1707407444 1749051528 1807843176 1998916032 2109150372 2127400128 2273535936 2332068704 2410457568 2469249216 2561111166 2623577292 2812200496 2987963027 2998374048 3163725558 3213943424 3414814888 3498103056 3615686352 3841666749 3997832064 4218300744 4254800256 4547071872 4664137408 4820915136 4938498432 5122222332 5247154584 5624400992 5975926054 5996748096 6327451116 6829629776 6996206112 7231372704 7683333498 8436601488 8963889081 9328274816 9641830272 10244444664 10494309168 11248801984 11951852108 11993496192 12654902232 13659259552 13992412224 14462745408 15366666996 16873202976 17927778162 20488889328 20988618336 22497603968 23903704216 25309804464 26891667243 27318519104 27984824448 28925490816 30733333992 33746405952 35855556324 40977778656 41977236672 47807408432 50619608928 53783334486 54637038208 61466667984 67492811904 71711112648 81955557312 83954473344 95614816864 101239217856 107566668972 122933335968 143422225296 163911114624 191229633728 202478435712 215133337944 245866671936 286844450592 382459267456 430266675888 491733343872 573688901184 860533351776 1147377802368 1721066703552 3442133407104
- Sum of all divisors σ(n): 12309758697600
- Sum of proper divisors (its aliquot sum) s(n): 8867625290496
- 3442133407104 is an abundant number, because the sum of its proper divisors (8867625290496) is greater than itself. Its abundance is 5425491883392
Bases of 3442133407104
- Binary: 1100100001011011110010001110010101100000002
- Hexadecimal: 0x3216F239580
- Base-36: 17XALCV40
Squares and roots of 3442133407104
- 3442133407104 squared (34421334071042) is 11848282392301391397666816
- 3442133407104 cubed (34421334071043) is 40783368639342720311290713914279460864
-
The
square root of 3442133407104 is 1855298.7379675545 -
The
cube root of 3442133407104 is 15098.8046465475
Scales and comparisons
How big is 3442133407104?- 3,442,133,407,104 seconds is equal to 109,449 years, 10 weeks, 1 day, 38 minutes, 24 seconds.
-
To count from 1 to 3,442,133,407,104 would take you about two hundred seventy-three thousand, six hundred twenty-two 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 3442133407104 cubic inches would be around 1258.2 feet tall.
Recreational maths with 3442133407104
- 3442133407104 backwards is 4017043312443
- 3442133407104 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3442133407104's digits is 36
- 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 3442133407104 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 3442133407104 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/3442133407104/
Chicago style:
Numbermatics. 2024. "Number 3442133407104 - Facts about the integer". https://numbermatics.com/n/3442133407104/
The information we have on file for 3442133407104 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 3442133407104, math, Factors of 3442133407104, curriculum, school, college, exams, university, Prime factorization of 3442133407104, STEM, science, technology, engineering, physics, economics, calculator, three trillion, four hundred forty-two billion, one hundred thirty-three million, four hundred seven thousand, one hundred four.