242338042025352
242,338,042,025,352 is an even composite number composed of seven prime numbers multiplied together.
242338042025352 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 242338042025352:
23 × 33 × 73 × 13 × 19 × 37 × 713
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 19 × 37 × 71 × 71 × 71)See below for interesting mathematical facts about the number 242338042025352 from the Numbermatics database.
Names of 242338042025352
- Cardinal: 242338042025352 can be written as Two hundred forty-two trillion, three hundred thirty-eight billion, forty-two million, twenty-five thousand, three hundred fifty-two.
Scientific notation
- Scientific notation: 2.42338042025352 × 1014
Factors of 242338042025352
Divisors of 242338042025352
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 19 21 24 26 27 28 36 37 38 39 42 49 52 54 56 57 63 71 72 74 76 78 84 91 98 104 108 111 114 117 126 133 142 147 148 152 156 168 171 182 189 196 213 216 222 228 234 247 252 259 266 273 284 294 296 312 333 342 343 351 364 378 392 399 426 441 444 456 468 481 494 497 504 513 518 532 546 568 588 637 639 666 684 686 702 703 728 741 756 777 798 819 852 882 888 923 931 936 962 988 994 999 1026 1029 1036 1064 1092 1176 1197 1274 1278 1323 1332 1349 1368 1372 1404 1406 1443 1482 1491 1512 1554 1596 1638 1704 1729 1764 1813 1846 1862 1911 1917 1924 1976 1988 1998 2052 2058 2072 2109 2184 2223 2331 2394 2457 2548 2556 2627 2646 2664 2698 2744 2769 2793 2808 2812 2886 2964 2982 3087 3108 3192 3276 3367 3458 3479 3528 3591 3626 3692 3724 3822 3834 3848 3976 3996 4047 4104 4116 4218 4329 4446 4459 4473 4662 4788 4914 4921 5041 5096 5112 5187 5254 5292 5396 5439 5538 5586 5624 5733 5772 5928 5964 6174 6216 6327 6461 6517 6552 6669 6734 6916 6958 6993 7182 7252 7384 7448 7644 7668 7881 7992 8094 8232 8307 8379 8436 8658 8892 8918 8946 9139 9261 9324 9443 9576 9828 9842 10082 10101 10374 10437 10508 10584 10792 10878 11076 11172 11466 11544 11928 12103 12141 12348 12654 12691 12922 12987 13034 13338 13377 13419 13468 13832 13916 13986 14364 14504 14763 15123 15288 15336 15561 15762 16188 16317 16614 16758 16872 17199 17316 17537 17784 17836 17892 18278 18389 18522 18648 18886 18981 19383 19551 19656 19684 20164 20202 20748 20874 21016 21756 22152 22344 22932 23569 23643 24206 24282 24353 24696 24921 25137 25308 25382 25844 25974 26068 26676 26754 26838 26936 27417 27832 27972 28329 28728 29526 30246 30303 31122 31311 31524 32376 32634 33228 33516 34151 34398 34447 34632 35074 35287 35672 35784 36309 36423 36556 36778 37044 37772 37962 38073 38766 39102 39368 40131 40328 40404 41496 41748 43512 44289 45227 45369 45864 46683 47138 47286 48412 48564 48706 48951 49842 49913 50274 50616 50764 51688 51948 52136 52611 53352 53508 53676 54834 55167 55944 56658 58149 58653 59052 60492 60606 62244 62622 63048 63973 65268 65533 66101 66456 67032 68302 68796 68894 70148 70574 70707 70929 72618 72846 73059 73112 73556 74088 75544 75924 76146 77532 78204 80262 80808 82251 83496 84721 84987 88578 90454 90738 90909 93366 93933 94276 94572 95779 96824 97128 97412 97902 99684 99826 100548 101528 102453 103341 103896 105222 105861 107016 107352 108927 109668 110334 113316 114219 116298 117306 118104 120393 120984 121212 122759 124488 125244 127946 128723 130536 131066 132202 132867 135681 136107 136604 137592 137788 140296 141148 141414 141858 145236 145692 146118 147112 149739 151848 152292 155064 156408 157833 160524 164502 164983 165501 169442 169974 174447 175959 177156 180908 181476 181818 186517 186732 187866 188552 189144 191558 191919 194824 195804 196599 198303 199368 199652 201096 204906 206682 210444 211722 212121 217854 219177 219336 220668 226632 228438 232596 234612 239057 240786 241129 242424 245518 246753 247009 250488 254163 254961 255892 257446 262132 264404 265734 271362 272214 273208 275576 282296 282828 283716 287337 290472 291384 292236 299478 304584 307359 310023 315666 316589 317583 321048 326781 329004 329966 331002 338884 339948 342657 348894 349391 351918 354312 357911 361816 362952 363636 368277 373034 373464 375732 383116 383838 386169 391608 393198 396606 399304 407043 409812 413364 420888 423444 424242 435708 438354 441336 447811 449217 456876 458731 462707 465192 469224 473499 478114 481572 482258 491036 493506 494018 494949 496503 508326 509922 511784 514892 524264 528808 531468 542724 544428 559551 565656 567432 574674 575757 584472 589797 594909 598956 614718 620046 631332 633178 635166 636363 648869 653562 657531 658008 659932 662004 670453 677768 679896 685314 697788 698782 703836 715822 717171 723387 727272 736554 741027 746068 751464 762489 766232 767676 772338 786396 793212 814086 819624 826728 846888 848484 859313 862011 871416 876708 895622 898434 901061 913752 917462 922077 925414 930069 946998 949767 952749 956228 963144 964516 982072 987012 988036 989898 993006 1016652 1019844 1029784 1048173 1062936 1073733 1085448 1088856 1104831 1119102 1149348 1151514 1158507 1179594 1189818 1197912 1221129 1229436 1240092 1245127 1262664 1266356 1270332 1272726 1297738 1305619 1307124 1315062 1319864 1324008 1340906 1343433 1347651 1370628 1376193 1388121 1395576 1397564 1407672 1431644 1434342 1446774 1473108 1482054 1484847 1492136 1524978 1535352 1544676 1572792 1586424 1628172 1673399 1678653 1696968 1718626 1724022 1727271 1729063 1753416 1769391 1784727 1791244 1796868 1802122 1834924 1844154 1850828 1860138 1893996 1899534 1905498 1912456 1929032 1946607 1974024 1976072 1979796 1986012 2011359 2033304 2039688 2096346 2147466 2151513 2170161 2209662 2223081 2238204 2287467 2298696 2303028 2317014 2359188 2379636 2424721 2442258 2445737 2458872 2480184 2490254 2505377 2532712 2540664 2545452 2577939 2586033 2595476 2611238 2614248 2630124 2681812 2686866 2695302 2703183 2741256 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160276482821 162533898072 163520946036 167940431064 172359916092 172605443038 176631225966 177147691539 179642729448 181935466986 183173123224 189622881084 190218243348 202454504616 206069763627 221921283906 227761317693 233917028982 235508301288 236196922052 242580622648 243800847108 245281419054 251910646596 258908164557 260298648792 262554758424 272903200479 274759684836 284434321626 295895045208 303681756924 311889371976 320552965642 327041892072 332881925859 344719832184 345210886076 353262451932 354295383078 363870933972 379245762168 380436486696 412139527254 426651482439 443842567812 455522635386 467834057964 472393844104 480829448463 487601694216 490562838108 503821293192 517816329114 531443074617 545806400958 549519369672 568868643252 607363513848 618209290881 641105931284 665763851718 690421772152 706524903864 708590766156 727741867944 776724493671 818709601437 824279054508 853302964878 887685135624 911045270772 935668115928 961658896926 981125676216 1035632658228 1062886149234 1091612801916 1121935379747 1137737286504 1236418581762 1282211862568 1331527703436 1417181532312 1442488345389 1553448987342 1594329223851 1637419202874 1648558109016 1706605929756 1822090541544 1923317793852 2071265316456 2125772298468 2183225603832 2243870759494 2330173481013 2472837163524 2663055406872 2884976690778 3106897974684 3188658447702 3274838405748 3365806139241 3413211859512 3846635587704 4251544596936 4327465036167 4487741518988 4660346962026 4945674327048 5769953381556 6213795949368 6377316895404 6549676811496 6731612278482 8654930072334 8975483037976 9320693924052 10097418417723 11539906763112 12754633790808 13463224556964 17309860144668 18641387848104 20194836835446 26926449113928 30292255253169 34619720289336 40389673670892 60584510506338 80779347341784 121169021012676 242338042025352
- Sum of all divisors σ(n): 927018086400000
- Sum of proper divisors (its aliquot sum) s(n): 684680044374648
- 242338042025352 is an abundant number, because the sum of its proper divisors (684680044374648) is greater than itself. Its abundance is 442342002349296
Bases of 242338042025352
- Binary: 1101110001100111101110001110100100010101100010002
- Hexadecimal: 0xDC67B8E91588
- Base-36: 2DWGK58LU0
Squares and roots of 242338042025352
- 242338042025352 squared (2423380420253522) is 58727726612681272082210723904
- 242338042025352 cubed (2423380420253523) is 14231962279917337171556905472126162240414208
-
The
square root of 242338042025352 is 15567210.4766830977 -
The
cube root of 242338042025352 is 62345.7994541087
Scales and comparisons
How big is 242338042025352?- 242,338,042,025,352 seconds is equal to 7,705,600 years, 7 weeks, 8 hours, 49 minutes, 12 seconds.
-
To count from 1 to 242,338,042,025,352 would take you about nineteen million, two hundred sixty-four thousand 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 242338042025352 cubic inches would be around 5195.5 feet tall.
Recreational maths with 242338042025352
- 242338042025352 backwards is 253520240833242
- The number of decimal digits it has is: 15
- The sum of 242338042025352's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 242338042025352 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 242338042025352 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/242338042025352/
Chicago style:
Numbermatics. 2024. "Number 242338042025352 - Facts about the integer". https://numbermatics.com/n/242338042025352/
The information we have on file for 242338042025352 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!
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