42121884280320
42,121,884,280,320 is an even composite number composed of seven prime numbers multiplied together.
42121884280320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 42121884280320:
29 × 34 × 5 × 13 × 61 × 127 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 61 × 127 × 2017)See below for interesting mathematical facts about the number 42121884280320 from the Numbermatics database.
Names of 42121884280320
- Cardinal: 42121884280320 can be written as Forty-two trillion, one hundred twenty-one billion, eight hundred eighty-four million, two hundred eighty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.212188428032 × 1013
Factors of 42121884280320
Divisors of 42121884280320
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 61 64 65 72 78 80 81 90 96 104 108 117 120 122 127 128 130 135 144 156 160 162 180 183 192 195 208 216 234 240 244 254 256 260 270 288 305 312 320 324 351 360 366 381 384 390 405 416 432 468 480 488 508 512 520 540 549 576 585 610 624 635 640 648 702 720 732 762 768 780 793 810 832 864 915 936 960 976 1016 1040 1053 1080 1098 1143 1152 1170 1220 1248 1270 1280 1296 1404 1440 1464 1524 1536 1560 1586 1620 1647 1651 1664 1728 1755 1830 1872 1905 1920 1952 2017 2032 2080 2106 2160 2196 2286 2304 2340 2379 2440 2496 2540 2560 2592 2745 2808 2880 2928 3048 3120 3172 3240 3294 3302 3328 3429 3456 3510 3660 3744 3810 3840 3904 3965 4034 4064 4160 4212 4320 4392 4572 4608 4680 4758 4880 4941 4953 4992 5080 5184 5265 5490 5616 5715 5760 5856 6051 6096 6240 6344 6480 6588 6604 6656 6858 6912 7020 7137 7320 7488 7620 7680 7747 7808 7930 8068 8128 8235 8255 8320 8424 8640 8784 9144 9360 9516 9760 9882 9906 9984 10085 10160 10287 10368 10530 10980 11232 11430 11520 11712 11895 12102 12192 12480 12688 12960 13176 13208 13716 13824 14040 14274 14640 14859 14976 15240 15494 15616 15860 16136 16256 16470 16510 16640 16848 17145 17280 17568 18153 18288 18720 19032 19520 19764 19812 19968 20170 20320 20574 20736 21060 21411 21960 22464 22860 23040 23241 23424 23790 24204 24384 24705 24765 24960 25376 25920 26221 26352 26416 27432 28080 28548 29280 29718 29952 30255 30480 30988 31232 31720 32272 32512 32940 33020 33280 33696 34290 34560 35136 35685 36306 36576 37440 38064 38735 39040 39528 39624 40340 40640 41148 41472 42120 42822 43920 44577 44928 45720 46482 46848 47580 48408 48768 49410 49530 49920 50752 51435 51840 52442 52704 52832 54459 54864 56160 57096 58560 59436 59904 60510 60960 61976 63440 64233 64544 65024 65880 66040 67392 68580 69120 69723 70272 71370 72612 73152 74295 74880 76128 77470 78080 78663 79056 79248 80680 81280 82296 84240 85644 87840 89154 89856 90765 91440 92964 93696 95160 96816 97536 98820 99060 99840 100711 101504 102870 103680 104884 105408 105664 107055 108918 109728 112320 114192 116205 117120 118872 121020 121920 123037 123952 126880 128466 129088 131105 131760 132080 133731 134784 137160 139446 140544 142740 145224 146304 148590 149760 152256 154940 156160 157326 158112 158496 161360 162560 163377 164592 168480 171288 175680 178308 179712 181530 182880 185928 190320 193632 195072 197640 198120 201422 203008 205740 207360 209169 209768 210816 211328 214110 217836 219456 222885 224640 228384 232410 234240 235989 237744 242040 243840 246074 247904 253760 256159 256932 258176 262210 263520 264160 267462 269568 272295 274320 278892 281088 285480 290448 292608 297180 299520 302133 304512 309880 314652 316224 316992 321165 322720 325120 326754 329184 336960 342576 348615 351360 356616 363060 365760 369111 371856 380640 387264 393315 395280 396240 402844 406016 411480 418338 419536 421632 422656 428220 435672 438912 445770 449280 456768 464820 468480 471978 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599412060 604131840 609402261 614200704 625027960 637823808 639372864 647789805 652607280 655767040 663964128 679648320 690975792 696114432 703156455 708693120 719294472 737737920 750033552 767750880 773460480 797279760 799216080 803208960 812536348 818934272 829955160 843787746 850431744 852497152 863719740 870143040 885285504 899118090 906197760 921301056 937541940 944924160 959059296 983650560 1000044736 1015670435 1023667840 1036463688 1044171648 1063039680 1065621440 1078941708 1087437312 1106606880 1125050328 1151626320 1160190720 1180380672 1198824120 1218804522 1228401408 1250055920 1265681619 1275647616 1278745728 1295579610 1305214560 1327928256 1348677135 1359296640 1381951584 1392228864 1406312910 1417386240 1438588944 1475475840 1500067104 1535501760 1594559520 1598432160 1606417920 1625072696 1659910320 1687575492 1700863488 1704994304 1727439480 1740286080 1770571008 1798236180 1812395520 1828206783 1842602112 1875083880 1918118592 1967301120 2000089472 2031340870 2047335680 2072927376 2088343296 2109469365 2126079360 2131242880 2157883416 2213213760 2250100656 2303252640 2320381440 2397648240 2437609044 2456802816 2500111840 2531363238 2551295232 2557491456 2591159220 2610429120 2655856512 2697354270 2718593280 2763903168 2812625820 2834772480 2877177888 2950951680 3000134208 3047011305 3071003520 3189119040 3196864320 3250145392 3319820640 3375150984 3454878960 3480572160 3541142016 3596472360 3656413566 3685204224 3750167760 3836237184 4000178944 4062681740 4094671360 4145854752 4176686592 4218938730 4252158720 4262485760 4315766832 4426427520 4500201312 4606505280 4795296480 4875218088 5000223680 5062726476 5102590464 5114982912 5182318440 5220858240 5311713024 5394708540 5437186560 5484620349 5527806336 5625251640 5754355776 5901903360 6000268416 6094022610 6142007040 6328408095 6378238080 6393728640 6500290784 6639641280 6750301968 6909757920 6961144320 7192944720 7312827132 7370408448 7500335520 7672474368 8000357888 8125363480 8291709504 8437877460 8504317440 8524971520 8631533664 8852855040 9000402624 9141033915 9213010560 9590592960 9750436176 10000447360 10125452952 10364636880 10441716480 10623426048 10789417080 10969240698 11055612672 11250503280 11508711552 12000536832 12188045220 12284014080 12656816190 12756476160 12787457280 13000581568 13279282560 13500603936 13819515840 14385889440 14625654264 15000671040 15344948736 16250726960 16453861047 16583419008 16875754920 17263067328 17705710080 18000805248 18282067830 18426021120 19181185920 19500872352 20000894720 20250905904 20729273760 20883432960 21578834160 21938481396 22111225344 22501006560 23017423104 24001073664 24376090440 25313632380 25512952320 25574914560 26001163136 26558565120 27001207872 27423101745 27639031680 28771778880 29251308528 30001342080 32501453920 32907722094 33166838016 33751509840 34526134656 36001610496 36564135660 36852042240 38362371840 39001744704 40001789440 40501811808 41458547520 43157668320 43876962792 45002013120 46034846208 48752180880 50627264760 52002326272 53117130240 54002415744 54846203490 55278063360 57543557760 58502617056 60002684160 65002907840 65815444188 66333676032 67503019680 69052269312 72003220992 73128271320 76724743680 78003489408 81003623616 82269305235 82917095040 86315336640 87753925584 90004026240 97504361760 101254529520 104004652544 108004831488 109692406980 110556126720 115087115520 117005234112 120005368320 130005815680 131630888376 135006039360 138104538624 146256542640 156006978816 162007247232 164538610470 165834190080 172630673280 175507851168 180008052480 195008723520 202509059040 216009662976 219384813960 230174231040 234010468224 260011631360 263261776752 270012078720 292513085280 312013957632 324014494464 329077220940 331668380160 345261346560 351015702336 360016104960 390017447040 405018118080 438769627920 468020936448 520023262720 526523553504 540024157440 585026170560 648028988928 658154441880 690522693120 702031404672 780034894080 810036236160 877539255840 936041872896 1053047107008 1080048314880 1170052341120 1316308883760 1404062809344 1560069788160 1620072472320 1755078511680 2106094214016 2340104682240 2632617767520 2808125618688 3240144944640 3510157023360 4212188428032 4680209364480 5265235535040 7020314046720 8424376856064 10530471070080 14040628093440 21060942140160 42121884280320
- Sum of all divisors σ(n): 166518738118656
- Sum of proper divisors (its aliquot sum) s(n): 124396853838336
- 42121884280320 is an abundant number, because the sum of its proper divisors (124396853838336) is greater than itself. Its abundance is 82274969558016
Bases of 42121884280320
- Binary: 10011001001111010000111111001100100110000000002
- Hexadecimal: 0x264F43F32600
- Base-36: EXIIYCG00
Squares and roots of 42121884280320
- 42121884280320 squared (421218842803202) is 1774253135324669124339302400
- 42121884280320 cubed (421218842803203) is 74734885250140654088012921268514848768000
-
The
square root of 42121884280320 is 6490137.4623593297 -
The
cube root of 42121884280320 is 34793.8588164431
Scales and comparisons
How big is 42121884280320?- 42,121,884,280,320 seconds is equal to 1,339,345 years, 32 weeks, 4 days, 19 hours, 12 minutes.
-
To count from 1 to 42,121,884,280,320 would take you about three million, three hundred forty-eight thousand, three hundred sixty-four 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 42121884280320 cubic inches would be around 2899.5 feet tall.
Recreational maths with 42121884280320
- 42121884280320 backwards is 02308248812124
- 42121884280320 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42121884280320's digits is 45
- More coming soon!
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"Number 42121884280320 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 42121884280320 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/42121884280320/
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The information we have on file for 42121884280320 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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