42135138705408
42,135,138,705,408 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42135138705408 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
42135138705408 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 42135138705408:
213 × 3 × 7 × 19 × 41 × 59 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 19 × 41 × 59 × 73 × 73)See below for interesting mathematical facts about the number 42135138705408 from the Numbermatics database.
Names of 42135138705408
- Cardinal: 42135138705408 can be written as Forty-two trillion, one hundred thirty-five billion, one hundred thirty-eight million, seven hundred five thousand, four hundred eight.
Scientific notation
- Scientific notation: 4.2135138705408 × 1013
Factors of 42135138705408
Divisors of 42135138705408
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 41 42 48 56 57 59 64 73 76 82 84 96 112 114 118 123 128 133 146 152 164 168 177 192 219 224 228 236 246 256 266 287 292 304 328 336 354 384 399 413 438 448 456 472 492 511 512 532 574 584 608 656 672 708 768 779 798 826 861 876 896 912 944 984 1022 1024 1064 1121 1148 1168 1216 1239 1312 1344 1387 1416 1533 1536 1558 1596 1652 1722 1752 1792 1824 1888 1968 2044 2048 2128 2242 2296 2336 2337 2419 2432 2478 2624 2688 2774 2832 2993 3066 3072 3116 3192 3304 3363 3444 3504 3584 3648 3776 3936 4088 4096 4161 4256 4307 4484 4592 4672 4674 4838 4864 4956 5248 5329 5376 5453 5548 5664 5986 6132 6144 6232 6384 6608 6726 6888 7008 7168 7257 7296 7552 7847 7872 8176 8192 8322 8512 8614 8968 8979 9184 9344 9348 9676 9709 9728 9912 10496 10658 10752 10906 11096 11328 11972 12264 12288 12464 12768 12921 13216 13452 13776 14016 14336 14514 14592 15104 15694 15744 15987 16352 16359 16644 16933 17024 17228 17936 17958 18368 18688 18696 19352 19418 19456 19824 20951 20992 21316 21504 21812 22192 22656 23541 23944 24528 24576 24928 25536 25842 26432 26904 27552 28032 28672 29028 29127 29184 30149 30208 31388 31488 31974 32704 32718 33288 33866 34048 34456 35872 35916 36736 37303 37376 37392 38704 38836 38912 39648 41902 41984 42632 43008 43624 44384 45312 45961 47082 47888 49056 49856 50799 51072 51684 52864 53808 55104 56064 56867 57344 58056 58254 58368 60298 60416 62776 62853 62976 63948 65408 65436 66576 67732 68096 68912 71744 71832 73472 74606 74752 74784 77408 77672 77824 79296 81833 83804 83968 85264 86016 87248 88768 90447 90624 91922 94164 95776 98112 99712 101251 101598 102144 103368 105728 107616 110208 111909 112128 113734 116112 116508 116736 120596 120832 125552 125706 125952 127896 130816 130872 133152 135464 136192 137824 137883 143488 143664 146944 149212 149504 149568 154816 155344 155648 158592 163666 167608 167936 170528 170601 172032 174496 176587 177536 180894 181248 183844 188328 191552 196224 199424 202502 203196 204288 206736 211456 215232 218489 220416 223818 224256 227468 232224 233016 233472 241192 241664 245499 251104 251412 251904 255792 261632 261744 266304 270928 272384 275648 275766 286976 287328 293888 298424 299008 299136 303753 309632 310688 314411 317184 321727 327332 335216 335872 341056 341202 348992 353174 355072 361788 362496 367688 376656 383104 392448 398069 398848 405004 406392 408576 413472 422912 430464 436978 440832 447636 448512 454936 464448 466032 466944 482384 483328 490998 502208 502824 503808 511584 523264 523488 529761 532608 541856 544768 551296 551532 572831 573952 574656 587776 596848 598016 598272 607506 619264 621376 628822 634368 643454 654664 655467 670432 682112 682404 697984 706348 708757 710144 723576 724992 735376 753312 766208 784896 796138 797696 810008 812784 817152 826944 845824 860928 873956 881664 895272 897024 909872 928896 932064 943233 964768 965181 981996 1004416 1005648 1007616 1023168 1046528 1046976 1059522 1065216 1083712 1089536 1102592 1103064 1145662 1147904 1149312 1175552 1193696 1194207 1196544 1215012 1236109 1238528 1242752 1257644 1268736 1286908 1309328 1310934 1340864 1364224 1364808 1395968 1412696 1417514 1420288 1447152 1449984 1470752 1506624 1529423 1532416 1569792 1592276 1595392 1620016 1625568 1634304 1653888 1691648 1718493 1721856 1747912 1763328 1790544 1794048 1819744 1857792 1864128 1886466 1929536 1930362 1963992 2008832 2011296 2046336 2093056 2093952 2119044 2126271 2130432 2167424 2200877 2205184 2206128 2291324 2295808 2298624 2351104 2387392 2388414 2393088 2430024 2472218 2477056 2485504 2515288 2537472 2573816 2618656 2621868 2681728 2728448 2729616 2791936 2825392 2835028 2840576 2894304 2941504 3013248 3058846 3064832 3139584 3184552 3190784 3240032 3251136 3268608 3307776 3355153 3383296 3436986 3443712 3495824 3526656 3581088 3639488 3708327 3715584 3728256 3772932 3859072 3860724 3927984 4017664 4022592 4092672 4151291 4186112 4187904 4238088 4252542 4260864 4334848 4401754 4410368 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3918818704 3953381376 4014399648 4250921984 4331325936 4339802112 4354603008 4507396096 4509325632 4587885312 4692631552 4698387456 4891471872 4950086784 5063102464 5143449549 5153515008 5352532864 5369585664 5579335104 5775101248 5806137344 5878228056 6012434176 6117180416 6264516608 6376382976 6600115712 6761094144 6857932732 6871353344 7038947328 7439113472 7594653696 7726964736 7837637408 7906762752 8028799296 8501843968 8662651872 8709206016 9014792192 9018651264 9175770624 9396774912 9782943744 9900173568 10126204928 10286899098 10307030016 10705065728 11158670208 11550202496 11756456112 12024868352 12234360832 12529033216 12752765952 13200231424 13522188288 13715865464 13742706688 14077894656 14878226944 15189307392 15675274816 16057598592 17003687936 17325303744 17418412032 18029584384 18037302528 18351541248 18793549824 19800347136 20573798196 20614060032 21410131456 22317340416 23100404992 23512912224 24049736704 24468721664 25505531904 26400462848 27044376576 27431730928 27485413376 29756453888 30378614784 31350549632 32115197184 34007375872 34650607488 36074605056 36703082496 37587099648 39600694272 41147596392 41228120064 42820262912 44634680832 46200809984 47025824448 48099473408 48937443328 51011063808 52800925696 54088753152 54863461856 59512907776 62701099264 64230394368 69301214976 72149210112 73406164992 79201388544 82295192784 82456240128 85640525824 89269361664 92401619968 94051648896 96198946816 102022127616 105601851392 109726923712 119025815552 125402198528 128460788736 138602429952 144298420224 146812329984 158402777088 164590385568 171281051648 178538723328 184803239936 188103297792 192397893632 219453847424 238051631104 250804397056 256921577472 277204859904 288596840448 316805554176 329180771136 342562103296 357077446656 369606479872 376206595584 438907694848 501608794112 513843154944 554409719808 577193680896 658361542272 714154893312 739212959744 752413191168 877815389696 1003217588224 1027686309888 1108819439616 1316723084544 1504826382336 1755630779392 2006435176448 2217638879232 2633446169088 3009652764672 3511261558784 5266892338176 6019305529344 7022523117568 10533784676352 14045046235136 21067569352704 42135138705408
- Sum of all divisors σ(n): 142760780467200
- Sum of proper divisors (its aliquot sum) s(n): 100625641761792
- 42135138705408 is an abundant number, because the sum of its proper divisors (100625641761792) is greater than itself. Its abundance is 58490503056384
Bases of 42135138705408
- Binary: 10011001010010010110011111100110100000000000002
- Hexadecimal: 0x265259F9A000
- Base-36: EXOM5ORUO
Squares and roots of 42135138705408
- 42135138705408 squared (421351387054082) is 1775369913723971350208446464
- 42135138705408 cubed (421351387054083) is 74805457568167766849278402734091835277312
-
The
square root of 42135138705408 is 6491158.5025639299 -
The
cube root of 42135138705408 is 34797.5079427773
Scales and comparisons
How big is 42135138705408?- 42,135,138,705,408 seconds is equal to 1,339,767 years, 4 weeks, 11 hours, 56 minutes, 48 seconds.
-
To count from 1 to 42,135,138,705,408 would take you about three million, three hundred forty-nine thousand, four hundred seventeen 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 42135138705408 cubic inches would be around 2899.8 feet tall.
Recreational maths with 42135138705408
- 42135138705408 backwards is 80450783153124
- The number of decimal digits it has is: 14
- The sum of 42135138705408's digits is 51
- More coming soon!
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"Number 42135138705408 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 42135138705408 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/42135138705408/
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The information we have on file for 42135138705408 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 42135138705408, math, Factors of 42135138705408, curriculum, school, college, exams, university, Prime factorization of 42135138705408, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred thirty-five billion, one hundred thirty-eight million, seven hundred five thousand, four hundred eight.