242032336790400
242,032,336,790,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 242032336790400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
242032336790400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 242032336790400:
27 × 32 × 52 × 13 × 193 × 3072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 19 × 19 × 19 × 307 × 307)See below for interesting mathematical facts about the number 242032336790400 from the Numbermatics database.
Names of 242032336790400
- Cardinal: 242032336790400 can be written as Two hundred forty-two trillion, thirty-two billion, three hundred thirty-six million, seven hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 2.420323367904 × 1014
Factors of 242032336790400
Divisors of 242032336790400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 30 32 36 38 39 40 45 48 50 52 57 60 64 65 72 75 76 78 80 90 95 96 100 104 114 117 120 128 130 144 150 152 156 160 171 180 190 192 195 200 208 225 228 234 240 247 260 285 288 300 304 307 312 320 325 342 360 361 380 384 390 400 416 450 456 468 475 480 494 520 570 576 585 600 608 614 624 640 650 684 720 722 741 760 780 800 832 855 900 912 921 936 950 960 975 988 1040 1083 1140 1152 1170 1200 1216 1228 1235 1248 1300 1368 1425 1440 1444 1482 1520 1535 1560 1600 1664 1710 1800 1805 1824 1842 1872 1900 1920 1950 1976 2080 2166 2223 2280 2340 2400 2432 2456 2470 2496 2600 2736 2763 2850 2880 2888 2925 2964 3040 3070 3120 3200 3249 3420 3600 3610 3648 3684 3705 3744 3800 3900 3952 3991 4160 4275 4332 4446 4560 4605 4680 4693 4800 4912 4940 4992 5200 5415 5472 5526 5700 5760 5776 5833 5850 5928 6080 6140 6175 6240 6498 6840 6859 7200 7220 7296 7368 7410 7488 7600 7675 7800 7904 7982 8320 8550 8664 8892 9025 9120 9210 9360 9386 9600 9824 9880 10400 10830 10944 11052 11115 11400 11552 11666 11700 11856 11973 12160 12280 12350 12480 12996 13680 13718 13815 14079 14400 14440 14736 14820 14976 15200 15350 15600 15808 15964 16245 17100 17328 17499 17784 18050 18240 18420 18525 18720 18772 19648 19760 19955 20577 20800 21660 21888 22104 22230 22800 23025 23104 23332 23400 23465 23712 23946 24560 24700 24960 25992 27075 27360 27436 27630 28158 28800 28880 29165 29472 29640 30400 30700 31200 31616 31928 32490 34200 34295 34656 34998 35568 35919 36100 36480 36840 37050 37440 37544 39296 39520 39910 41154 41600 42237 43320 44208 44460 45600 46050 46208 46664 46800 46930 47424 47892 49120 49400 51984 52497 54150 54720 54872 55260 55575 56316 57760 58330 58944 59280 59865 60800 61400 61731 62400 63856 64980 68400 68590 69075 69312 69996 70395 71136 71838 72200 73680 74100 74880 75088 75829 79040 79820 81225 82308 84474 86640 87495 88416 88920 89167 91200 92100 93328 93600 93860 94249 94848 95784 98240 98800 99775 102885 103968 104994 108300 109440 109744 110520 110827 111150 112632 115520 116660 117325 117888 118560 119730 122800 123462 124800 127712 129960 136800 137180 138150 138624 139992 140790 142272 143676 144400 145825 147360 148200 150176 151658 158080 159640 162450 164616 168948 171475 173280 174990 176832 177840 178334 179595 182400 184200 186656 187200 187720 188498 191568 196480 197600 199550 205770 207936 209988 211185 216600 219488 221040 221654 222300 225264 227487 231040 233320 234650 237120 239460 245600 246924 255424 259920 262485 267501 273600 274360 276300 279984 281580 282747 284544 287352 288800 291650 294720 296400 299325 300352 303316 308655 319280 324900 329232 332481 337896 342950 346560 349980 351975 353664 355680 356668 359190 368400 373312 374400 375440 376996 379145 383136 395200 399100 411540 415872 419976 422370 433200 437475 438976 442080 443308 444600 445835 450528 454974 466640 469300 471245 474240 478920 491200 493848 510848 514425 519840 524970 535002 547200 548720 552600 554135 559968 563160 565494 574704 577600 583300 589440 592800 598650 600704 606632 617310 638560 649800 658464 664962 675792 682461 685900 693120 699960 703950 711360 713336 718380 736800 746624 750880 753992 758290 766272 790400 798200 802503 823080 839952 844740 848241 866400 874950 877952 884160 886616 889200 891670 897975 901056 909948 933280 938600 942490 957840 982400 987696 997443 1028850 1039680 1049940 1055925 1070004 1097440 1105200 1108270 1119936 1126320 1130988 1137435 1149408 1155200 1166600 1185600 1197300 1213264 1225237 1234620 1277120 1299600 1312425 1316928 1329924 1337505 1351584 1364922 1371800 1399920 1407900 1413735 1422720 1426672 1436760 1440751 1473600 1501760 1507984 1516580 1532544 1543275 1596400 1605006 1646160 1662405 1679904 1689480 1696482 1732800 1749900 1768320 1773232 1778400 1783340 1790731 1795950 1802112 1819896 1866560 1877200 1884980 1895725 1915680 1975392 1994886 2057700 2079360 2099880 2105713 2111850 2140008 2194880 2210400 2216540 2229175 2239872 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103432622560 106154533680 108876444800 111741614400 116361700380 122486000400 124119147072 126058508745 127385440416 129290778200 131396491200 132693167100 134089937280 134462409328 141539378240 145452125475 151270210494 155148933840 157675789440 159231800520 163314667200 167612421600 168078011660 169847253888 176924222800 186178720608 193936167300 195977600640 197094736800 199039750650 201693613992 206865245120 210097514575 212309067360 223483228800 232723400760 244972000800 248238294144 252117017490 254770880832 258581556400 262792982400 265386334200 268924818656 283078756480 290904250950 302540420988 310297867680 318463601040 326629334400 335224843200 336156023320 353848445600 372357441216 378175526235 387872334600 394189473600 398079501300 403387227984 413730490240 420195029150 424618134720 465446801520 489944001600 504234034980 509541761664 517163112800 530772668400 537849637312 581808501900 605080841976 620595735360 630292543725 636927202080 670449686400 672312046640 707696891200 744714882432 756351052470 775744669200 788378947200 796159002600 806774455968 840390058300 849236269440 930893603040 979888003200 1008468069960 1034326225600 1061545336800 1075699274624 1163617003800 1210161683952 1241191470720 1260585087450 1273854404160 1344624093280 1415393782400 1512702104940 1551489338400 1592318005200 1613548911936 1680780116600 1861787206080 1890877631175 2016936139920 2068652451200 2123090673600 2327234007600 2420323367904 2521170174900 2547708808320 2689248186560 3025404209880 3102978676800 3184636010400 3227097823872 3361560233200 3723574412160 3781755262350 4033872279840 4246181347200 4654468015200 4840646735808 5042340349800 5378496373120 6050808419760 6205957353600 6369272020800 6723120466400 7563510524700 8067744559680 9308936030400 9681293471616 10084680699600 12101616839520 12738544041600 13446240932800 15127021049400 16135489119360 18617872060800 20169361399200 24203233679040 26892481865600 30254042098800 40338722798400 48406467358080 60508084197600 80677445596800 121016168395200 242032336790400
- Sum of all divisors σ(n): 984930334642800
- Sum of proper divisors (its aliquot sum) s(n): 742897997852400
- 242032336790400 is an abundant number, because the sum of its proper divisors (742897997852400) is greater than itself. Its abundance is 500865661062000
Bases of 242032336790400
- Binary: 1101110000100000100010110111010101100011100000002
- Hexadecimal: 0xDC208B756380
- Base-36: 2DSK4C8GW0
Squares and roots of 242032336790400
- 242032336790400 squared (2420323367904002) is 58579652052221613373532160000
- 242032336790400 cubed (2420323367904003) is 14178170074567748056560792466365579264000000
-
The
square root of 242032336790400 is 15557388.4951941725 -
The
cube root of 242032336790400 is 62319.5723746187
Scales and comparisons
How big is 242032336790400?- 242,032,336,790,400 seconds is equal to 7,695,879 years, 34 weeks, 8 hours.
-
To count from 1 to 242,032,336,790,400 would take you about nineteen million, two hundred thirty-nine thousand, six hundred ninety-nine 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 242032336790400 cubic inches would be around 5193.3 feet tall.
Recreational maths with 242032336790400
- 242032336790400 backwards is 004097633230242
- 242032336790400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242032336790400's digits is 45
- More coming soon!
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"Number 242032336790400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 242032336790400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/242032336790400/
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The information we have on file for 242032336790400 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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