242638813872
242,638,813,872 is an even composite number composed of seven prime numbers multiplied together.
242638813872 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 242638813872:
24 × 34 × 72 × 13 × 19 × 31 × 499
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 19 × 31 × 499)See below for interesting mathematical facts about the number 242638813872 from the Numbermatics database.
Names of 242638813872
- Cardinal: 242638813872 can be written as Two hundred forty-two billion, six hundred thirty-eight million, eight hundred thirteen thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 2.42638813872 × 1011
Factors of 242638813872
Divisors of 242638813872
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 31 36 38 39 42 48 49 52 54 56 57 62 63 72 76 78 81 84 91 93 98 104 108 112 114 117 124 126 133 144 147 152 156 162 168 171 182 186 189 196 208 216 217 228 234 247 248 252 266 273 279 294 304 312 324 336 342 351 364 372 378 392 399 403 432 434 441 456 468 494 496 499 504 513 532 546 558 567 588 589 624 637 648 651 684 702 728 741 744 756 784 798 806 819 837 868 882 912 931 936 988 998 1008 1026 1053 1064 1092 1116 1134 1176 1178 1197 1209 1274 1296 1302 1323 1368 1404 1456 1482 1488 1497 1512 1519 1539 1596 1612 1638 1674 1729 1736 1764 1767 1862 1872 1911 1953 1976 1996 2052 2106 2128 2184 2223 2232 2268 2352 2356 2394 2418 2457 2511 2548 2604 2646 2736 2793 2808 2821 2964 2994 3024 3038 3078 3192 3224 3276 3348 3458 3472 3493 3528 3534 3591 3627 3724 3822 3906 3952 3969 3992 4104 4123 4212 4368 4446 4464 4491 4536 4557 4712 4788 4836 4914 5022 5096 5187 5208 5292 5301 5586 5616 5642 5733 5859 5928 5988 6076 6156 6384 6448 6487 6552 6669 6696 6916 6986 7056 7068 7182 7254 7371 7448 7644 7657 7812 7938 7984 8208 8246 8379 8424 8463 8892 8982 9072 9114 9424 9481 9576 9672 9828 10044 10192 10374 10416 10479 10584 10602 10773 10881 11172 11284 11466 11718 11856 11976 12103 12152 12312 12369 12974 13104 13338 13392 13473 13671 13832 13972 14136 14364 14508 14742 14896 15288 15314 15469 15561 15624 15876 15903 16492 16758 16848 16926 17199 17577 17784 17964 18228 18962 19152 19344 19461 19656 19747 20007 20088 20748 20958 21168 21204 21546 21762 22344 22568 22932 22971 23436 23952 24206 24304 24451 24624 24738 25137 25389 25948 26676 26946 27342 27664 27944 28272 28443 28728 28861 29016 29484 30576 30628 30938 31122 31248 31437 31752 31806 32643 32984 33516 33852 34398 35154 35568 35928 36309 36456 37107 37924 38922 39312 39494 40014 40176 40419 41013 41496 41916 42408 43092 43524 44688 45136 45409 45864 45942 46407 46683 46872 47709 48412 48902 49476 50274 50778 51597 51896 53352 53599 53892 54684 55888 56886 57456 57722 58032 58383 58968 59241 61256 61876 62244 62874 63504 63612 65286 65968 66367 67032 67704 68796 68913 70308 71856 72618 72912 73353 74214 75411 75848 76167 77844 78988 80028 80838 82026 82992 83832 84816 85329 86184 86583 87048 90818 91728 91884 92814 93366 93744 94311 95418 96824 97804 98952 100548 101556 103194 103792 106704 107198 107784 108283 108927 109368 111321 113772 115444 116766 117936 118482 122512 123039 123253 123752 124488 125748 127224 130572 132734 134064 135408 136227 137592 137826 139221 140049 140616 145236 146706 148428 150822 151696 152334 155688 157976 160056 160797 161676 164052 167664 170658 172368 173166 174096 175149 177723 181636 183768 185628 186732 188622 190836 193648 195608 197904 199101 201096 201097 203112 206388 206739 214396 215568 216566 217854 218736 220059 222642 227544 228501 230888 233532 236964 246078 246506 247504 248976 251496 254448 255987 259749 261144 265468 272454 275184 275652 278442 280098 281232 282933 290472 293412 293911 296856 301644 304668 311376 315952 317863 320112 321594 323352 324849 326781 328104 333963 341316 346332 350298 355446 363272 367536 369759 371256 373464 375193 377244 381672 391216 398202 402192 402194 406224 408681 412776 413478 417663 428792 433132 435708 440118 445284 455088 457002 461776 464569 467064 473928 482391 492156 493012 502992 511974 519498 522288 525447 530936 533169 544908 551304 556884 560196 565866 580944 586824 587822 593712 597303 603288 603291 609336 620217 635726 643188 646704 649698 653562 656208 660177 667926 682632 692664 700596 710892 726544 739518 742512 746928 750386 754488 757981 763344 767961 779247 796404 804388 817362 825552 826956 835326 857584 862771 866264 871416 880236 881733 890568 914004 929138 934128 947856 953589 964782 974547 980343 984312 986024 1023948 1038996 1050894 1061872 1066338 1089816 1102608 1109277 1113768 1120392 1125579 1131732 1173648 1175644 1194606 1206576 1206582 1218672 1226043 1240434 1252989 1271452 1286376 1299396 1307124 1320354 1335852 1365264 1385328 1393707 1401192 1407679 1421784 1447173 1479036 1500772 1508976 1515962 1535922 1558494 1592808 1599507 1608776 1634724 1653912 1670652 1725542 1732528 1742832 1760472 1763466 1781136 1791909 1809873 1828008 1858276 1907178 1929564 1949094 1960686 1968624 1972048 1980531 2047896 2057377 2077992 2101788 2132676 2179632 2218554 2227536 2240784 2251158 2263464 2273943 2337741 2351288 2389212 2413164 2452086 2480868 2505978 2542904 2572752 2588313 2598792 2614248 2640708 2645199 2671704 2787414 2802384 2815358 2843568 2860767 2894346 2923641 2958072 3001544 3031924 3071844 3116988 3185616 3199014 3217552 3269448 3307824 3327831 3341304 3376737 3451084 3520944 3526932 3583818 3619746 3656016 3678129 3716552 3814356 3820843 3859128 3898188 3921372 3961062 4095792 4114754 4155984 4181121 4203576 4223037 4265352 4341519 4437108 4502316 4526928 4547886 4675482 4702576 4778424 4826328 4904172 4961736 5011956 5085808 5176626 5197584 5228496 5281416 5290398 5343408 5375727 5429619 5574828 5630716 5721534 5788692 5847282 5916144 6003088 6039397 6063848 6143688 6172131 6233976 6398028 6538896 6655662 6682608 6753474 6821829 6902168 7053864 7167636 7239492 7356258 7433104 7628712 7641686 7718256 7764939 7796376 7842744 7922124 7935597 8229508 8362242 8407152 8446074 8530704 8582301 8683038 8770923 8874216 9004632 9095772 9350964 9556848 9652656 9808344 9853753 9923472 9983493 10023912 10130211 10353252 10562832 10580796 10751454 10859238 11149656 11261432 11443068 11462529 11577384 11694564 12078794 12127696 12287376 12344262 12467952 12543363 12669111 12796056 13311324 13506948 13643658 13804336 14107728 14335272 14401639 14478984 14712516 15257424 15283372 15529878 15592752 15685488 15844248 15871194 16288857 16459016 16724484 16892148 17164602 17366076 17541846 17748432 18009264 18118191 18191544 18516393 18701928 19616688 19707506 19966986 20047824 20260422 20465487 20706504 21161592 21502908 21718476 22299312 22522864 22886136 22925058 23154768 23294817 23389128 23806791 24157588 24688524 25086726 25338222 25592112 25746903 26622648 26745901 27013896 27287316 28670544 28803278 28957968 29425032 29561259 30390633 30566744 31059756 31688496 31742388 32577714 32918032 33448968 33784296 34329204 34387587 34732152 35083692 36236382 36383088 37032786 37403856 37630089 38007333 39415012 39933972 40520844 40930974 41413008 42323184 43005816 43204917 43436952 45772272 45850116 46589634 46778256 47613582 48315176 49377048 50173452 50676444 51493806 53245296 53491802 54027792 54354573 54574632 55549179 57606556 58850064 59122518 60781266 61133488 61396461 62119512 63484776 65155428 66897936 67568592 68658408 68775174 69464304 69884451 70167384 72472764 74065572 75260178 76014666 78830024 79867944 80237703 81041688 81861948 86011632 86409834 86873904 88683777 91700232 93179268 95227164 96630352 98754096 100346904 101352888 102987612 103162761 106983604 108709146 109149264 111098358 114021999 115213112 118245036 121562532 122792922 124239024 126969552 129614751 130310856 137316816 137550348 139768902 140334768 144945528 148131144 150520356 152029332 157660048 159735888 160475406 162083376 163063719 163723896 166647537 172819668 177367554 183400464 186358536 187221307 190454328 200693808 202705776 205975224 206325522 213967208 217418292 222196716 228043998 230426224 236490072 240713109 243125064 245585844 259229502 260621712 266051331 275100696 279537804 289891056 296262288 301040712 304058664 309488283 320950812 326127438 327447792 333295074 345639336 354735108 372717072 374442614 380908656 388844253 411950448 412651044 427934416 434836584 444393432 456087996 472980144 481426218 486250128 489191157 491171688 518459004 532102662 550201392 559075608 561663921 602081424 608117328 618976566 641901624 652254876 666590148 691278672 709470216 722139327 748885228 777688506 798153993 825302088 869673168 888786864 912175992 962852436 978382314 982343376 1036918008 1064205324 1118151216 1123327842 1166532759 1237953132 1283803248 1304509752 1333180296 1418940432 1444278654 1497770456 1555377012 1596307986 1650604176 1684991763 1824351984 1925704872 1956764628 2073836016 2128410648 2166417981 2246655684 2333065518 2475906264 2609019504 2666360592 2888557308 2995540912 3110754024 3192615972 3369983526 3851409744 3913529256 4256821296 4332835962 4493311368 4666131036 4951812528 5054975289 5777114616 6221508048 6385231944 6739967052 7827058512 8665671924 8986622736 9332262072 10109950578 11554229232 12770463888 13479934104 15164925867 17331343848 18664524144 20219901156 26959868208 30329851734 34662687696 40439802312 60659703468 80879604624 121319406936 242638813872
- Sum of all divisors σ(n): 957855360000
- Sum of proper divisors (its aliquot sum) s(n): 715216546128
- 242638813872 is an abundant number, because the sum of its proper divisors (715216546128) is greater than itself. Its abundance is 472577732256
Bases of 242638813872
- Binary: 111000011111100110011001111010101100002
- Hexadecimal: 0x387E667AB0
- Base-36: 33GSVV00
Squares and roots of 242638813872
- 242638813872 squared (2426388138722) is 58873593997211059632384
- 242638813872 cubed (2426388138723) is 14285019015864990785241914119630848
-
The
square root of 242638813872 is 492583.8140580747 -
The
cube root of 242638813872 is 6237.1581771265
Scales and comparisons
How big is 242638813872?- 242,638,813,872 seconds is equal to 7,715 years, 8 weeks, 3 days, 14 hours, 31 minutes, 12 seconds.
-
To count from 1 to 242,638,813,872 would take you about fifteen thousand, four hundred thirty 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 242638813872 cubic inches would be around 519.8 feet tall.
Recreational maths with 242638813872
- 242638813872 backwards is 278318836242
- 242638813872 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 242638813872's digits is 54
- More coming soon!
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The information we have on file for 242638813872 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 242638813872, math, Factors of 242638813872, curriculum, school, college, exams, university, Prime factorization of 242638813872, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two billion, six hundred thirty-eight million, eight hundred thirteen thousand, eight hundred seventy-two.