2742138242438400
2,742,138,242,438,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 2742138242438400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
2742138242438400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 2742138242438400:
28 × 32 × 52 × 133 × 17 × 11292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 17 × 1129 × 1129)See below for interesting mathematical facts about the number 2742138242438400 from the Numbermatics database.
Names of 2742138242438400
- Cardinal: 2742138242438400 can be written as Two quadrillion, seven hundred forty-two trillion, one hundred thirty-eight billion, two hundred forty-two million, four hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.7421382424384 × 1015
Factors of 2742138242438400
Divisors of 2742138242438400
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 30 32 34 36 39 40 45 48 50 51 52 60 64 65 68 72 75 78 80 85 90 96 100 102 104 117 120 128 130 136 144 150 153 156 160 169 170 180 192 195 200 204 208 221 225 234 240 255 256 260 272 288 300 306 312 320 325 338 340 360 384 390 400 408 416 425 442 450 468 480 507 510 520 544 576 585 600 612 624 640 650 663 676 680 720 765 768 780 800 816 832 845 850 884 900 936 960 975 1014 1020 1040 1088 1105 1129 1152 1170 1200 1224 1248 1275 1280 1300 1326 1352 1360 1440 1521 1530 1560 1600 1632 1664 1690 1700 1768 1800 1872 1920 1950 1989 2028 2040 2080 2176 2197 2210 2258 2304 2340 2400 2448 2496 2535 2550 2600 2652 2704 2720 2873 2880 2925 3042 3060 3120 3200 3264 3315 3328 3380 3387 3400 3536 3600 3744 3825 3840 3900 3978 4056 4080 4160 4225 4352 4394 4420 4516 4680 4800 4896 4992 5070 5100 5200 5304 5408 5440 5525 5645 5746 5760 5850 6084 6120 6240 6400 6528 6591 6630 6760 6774 6800 7072 7200 7488 7605 7650 7800 7956 8112 8160 8320 8450 8619 8788 8840 9032 9360 9600 9792 9945 9984 10140 10161 10200 10400 10608 10816 10880 10985 11050 11290 11492 11520 11700 12168 12240 12480 12675 13056 13182 13260 13520 13548 13600 14144 14365 14400 14677 14976 15210 15300 15600 15912 16224 16320 16575 16640 16900 16935 17238 17576 17680 18064 18720 19193 19200 19584 19773 19890 20280 20322 20400 20800 21216 21632 21760 21970 22100 22580 22984 23400 24336 24480 24960 25350 25857 26364 26520 27040 27096 27200 28225 28288 28730 28800 29354 29952 30420 30600 31200 31824 32448 32640 32955 33150 33800 33870 34476 35152 35360 36128 37349 37440 38025 38386 39168 39546 39780 40560 40644 40800 41600 42432 43095 43264 43940 44031 44200 45160 45968 46800 48672 48960 49725 49920 50700 50805 51714 52728 53040 54080 54192 54400 54925 56450 56576 57460 57579 57600 58708 60840 61200 62400 63648 64896 65280 65910 66300 67600 67740 68952 70304 70720 71825 72256 73385 74698 74880 76050 76772 79092 79560 81120 81288 81600 83200 84675 84864 86190 87880 88062 88400 90320 91936 93600 95965 97344 97920 98865 99450 101400 101610 103428 105456 106080 108160 108384 108800 109850 112047 112900 114920 115158 117416 121680 122400 124800 127296 129285 129792 131820 132093 132600 135200 135480 137904 140608 141440 143650 144512 146770 149396 149760 152100 153544 158184 159120 162240 162576 163200 164775 169350 169728 172380 172737 175760 176124 176800 180640 183872 186745 187200 190801 191930 194688 195840 197730 198900 202800 203220 206856 210912 212160 215475 216320 216768 219700 220155 224094 225800 229840 230316 234832 243360 244800 249509 249600 254025 254592 258570 263640 264186 265200 270400 270960 275808 281216 282880 287300 287895 289024 293540 298792 304200 307088 316368 318240 324480 325152 326400 329550 336141 338700 344760 345474 351520 352248 353600 361280 366925 367744 373490 374400 381602 383860 389376 395460 397800 405600 406440 413712 421824 424320 430950 433536 439400 440310 448188 451600 459680 460632 469664 479825 486720 489600 494325 499018 508050 509184 517140 527280 528372 530400 540800 541920 551616 560235 562432 572403 574600 575790 587080 597584 608400 614176 632736 636480 646425 648960 650304 659100 660465 672282 677400 689520 690948 703040 704496 707200 722560 733850 735488 746980 748527 748800 763204 767720 790920 795600 811200 812880 827424 843648 848640 861900 863685 867072 878800 880620 896376 903200 919360 921264 933725 939328 954005 959650 973440 979200 988650 998036 1016100 1034280 1054560 1056744 1060800 1081600 1083840 1100775 1103232 1120470 1144806 1149200 1151580 1174160 1195168 1216800 1228352 1247545 1265472 1272960 1274641 1292850 1300608 1318200 1320930 1344564 1354800 1379040 1381896 1406080 1408992 1414400 1439475 1445120 1467700 1493960 1497054 1526408 1535440 1581840 1591200 1622400 1625760 1654848 1680705 1687296 1717209 1723800 1727370 1757600 1761240 1792752 1806400 1838720 1842528 1867450 1878656 1908010 1919300 1946880 1977300 1996072 2032200 2068560 2109120 2113488 2121600 2167680 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142871788800 146481743720 151801275600 155098316880 156016058400 159075196800 161921360640 162256700736 164791961685 165438204672 168023176620 169017396600 172331463200 175778092464 179224721728 180285223040 183102179650 186832339200 190426266836 190890236160 193872896100 201627811944 202401700800 202820875920 206797755840 208021411200 210028970775 216342267648 219722615580 224030902160 225356528800 234370789952 238032833545 238612795200 242882040960 248157307008 249625693440 252034764930 253526094900 258497194800 263667138696 268837082592 269868934400 270427834560 274653269475 275730341120 280038627700 285639400254 292963487440 303602551200 310196633760 312032116800 318150393600 324513401472 329583923370 336046353240 338034793200 344662926400 351556184928 358449443456 360570446080 366204359300 380852533672 387745792200 403255623888 404803401600 405641751840 413595511680 416042822400 420057941550 428459100381 439445231160 448061804320 450713057600 468741579904 476065667090 477225590400 485764081920 496314614016 504069529860 507052189800 516994389600 527334277392 537674165184 540855669120 549306538950 560077255400 571278800508 585926974880 607205102400 620393267520 624064233600 630086912325 649026802944 659167846740 672092706480 676069586400 689325852800 703112369856 714098500635 716898886912 732408718600 761705067344 775491584400 806511247776 809606803200 811283503680 823959808425 827191023360 840115883100 856918200762 878890462320 896123608640 901426115200 937483159808 952131334180 954451180800 1008139059720 1014104379600 1033988779200 1054668554784 1075348330368 1081711338240 1098613077900 1120154510800 1142557601016 1171853949760 1190164167725 1214410204800 1240786535040 1248128467200 1260173824650 1318335693480 1344185412960 1352139172800 1378651705600 1406224739712 1428197001270 1464817437200 1523410134688 1550983168800 1613022495552 1622567007360 1647919616850 1680231766200 1713836401524 1757780924640 1792247217280 1802852230400 1904262668360 2016278119440 2028208759200 2067977558400 2109337109568 2142295501905 2150696660736 2197226155800 2240309021600 2285115202032 2343707899520 2380328335450 2428820409600 2481573070080 2520347649300 2636671386960 2688370825920 2704278345600 2812449479424 2856394002540 2929634874400 3046820269376 3101966337600 3226044991104 3245134014720 3295839233700 3360463532400 3427672803048 3515561849280 3570492503175 3584494434560 3808525336720 4032556238880 4056417518400 4135955116800 4218674219136 4284591003810 4394452311600 4480618043200 4570230404064 4687415799040 4760656670900 5040695298600 5273342773920 5376741651840 5408556691200 5712788005080 5859269748800 6093640538752 6203932675200 6452089982208 6591678467400 6720927064800 6855345606096 7031123698560 7140985006350 7617050673440 8065112477760 8112835036800 8437348438272 8569182007620 8788904623200 8961236086400 9140460808128 9521313341800 10081390597200 10546685547840 10711477509525 10753483303680 11425576010160 11718539497600 12187281077504 12407865350400 13183356934800 13441854129600 13710691212192 14062247397120 14281970012700 15234101346880 16130224955520 16225670073600 17138364015240 17577809246400 17922472172800 18280921616256 19042626683600 20162781194400 21093371095680 21422955019050 22851152020320 23437078995200 26366713869600 26883708259200 27421382424384 28563940025400 30468202693760 32260449911040 34276728030480 35155618492800 36561843232512 38085253367200 40325562388800 42186742191360 42845910038100 45702304040640 52733427739200 53767416518400 54842764848768 57127880050800 60936405387520 68553456060960 70311236985600 76170506734400 80651124777600 85691820076200 91404608081280 105466855478400 109685529697536 114255760101600 137106912121920 152341013468800 161302249555200 171383640152400 182809216162560 210933710956800 228511520203200 274213824243840 304682026937600 342767280304800 457023040406400 548427648487680 685534560609600 914046080812800 1371069121219200 2742138242438400
- Sum of all divisors σ(n): 11255068285854120
- Sum of proper divisors (its aliquot sum) s(n): 8512930043415720
- 2742138242438400 is an abundant number, because the sum of its proper divisors (8512930043415720) is greater than itself. Its abundance is 5770791800977320
Bases of 2742138242438400
- Binary: 10011011110111110101110011111101110110010101000000002
- Hexadecimal: 0x9BDF5CFDD9500
- Base-36: R008X1MWW0
Squares and roots of 2742138242438400
- 2742138242438400 squared (27421382424384002) is 7519322140643157374777794560000
- 2742138242438400 cubed (27421382424384003) is 20619020799071375139460476908498148655104000000
-
The
square root of 2742138242438400 is 52365429.8410544893 -
The
cube root of 2742138242438400 is 139968.3302929017
Scales and comparisons
How big is 2742138242438400?- 2,742,138,242,438,400 seconds is equal to 87,191,514 years, 6 weeks, 1 day, 8 hours.
-
To count from 1 to 2,742,138,242,438,400 would take you about two hundred sixty-one million, five hundred seventy-four thousand, five hundred forty-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 2742138242438400 cubic inches would be around 11664 feet tall.
Recreational maths with 2742138242438400
- 2742138242438400 backwards is 0048342428312472
- The number of decimal digits it has is: 16
- The sum of 2742138242438400's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 2742138242438400 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 2742138242438400 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/2742138242438400/
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Numbermatics. 2024. "Number 2742138242438400 - Facts about the integer". https://numbermatics.com/n/2742138242438400/
The information we have on file for 2742138242438400 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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