42148694003644800
42,148,694,003,644,800 is an even composite number composed of eight prime numbers multiplied together.
42148694003644800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 42148694003644800:
27 × 32 × 52 × 11 × 13 × 37 × 691 × 400291
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 13 × 37 × 691 × 400291)See below for interesting mathematical facts about the number 42148694003644800 from the Numbermatics database.
Names of 42148694003644800
- Cardinal: 42148694003644800 can be written as Forty-two quadrillion, one hundred forty-eight trillion, six hundred ninety-four billion, three million, six hundred forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 4.21486940036448 × 1016
Factors of 42148694003644800
Divisors of 42148694003644800
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 32 33 36 37 39 40 44 45 48 50 52 55 60 64 65 66 72 74 75 78 80 88 90 96 99 100 104 110 111 117 120 128 130 132 143 144 148 150 156 160 165 176 180 185 192 195 198 200 208 220 222 225 234 240 260 264 275 286 288 296 300 312 320 325 330 333 352 360 370 384 390 396 400 407 416 429 440 444 450 468 480 481 495 520 528 550 555 572 576 585 592 600 624 640 650 660 666 691 704 715 720 740 780 792 800 814 825 832 858 880 888 900 925 936 960 962 975 990 1040 1056 1100 1110 1144 1152 1170 1184 1200 1221 1248 1287 1300 1320 1332 1382 1408 1430 1440 1443 1480 1560 1584 1600 1628 1650 1664 1665 1716 1760 1776 1800 1850 1872 1920 1924 1950 1980 2035 2073 2080 2112 2145 2200 2220 2288 2340 2368 2400 2405 2442 2475 2496 2574 2600 2640 2664 2764 2775 2860 2880 2886 2925 2960 3120 3168 3200 3256 3300 3330 3432 3455 3520 3552 3575 3600 3663 3700 3744 3848 3900 3960 4070 4146 4160 4224 4290 4329 4400 4440 4576 4680 4736 4800 4810 4884 4950 4992 5148 5200 5280 5291 5328 5528 5550 5720 5760 5772 5850 5920 6105 6219 6240 6336 6435 6512 6600 6660 6864 6910 7040 7104 7150 7200 7215 7326 7400 7488 7601 7696 7800 7920 8140 8292 8320 8325 8580 8658 8800 8880 8983 9152 9360 9600 9620 9768 9900 10175 10296 10365 10400 10560 10582 10656 10725 11056 11100 11440 11544 11700 11840 12025 12210 12438 12480 12672 12870 13024 13200 13320 13728 13820 14208 14300 14400 14430 14652 14800 14976 15202 15392 15600 15840 15873 16280 16584 16650 17160 17275 17316 17600 17760 17966 18304 18315 18720 19240 19536 19800 20350 20592 20730 20800 21120 21164 21312 21450 21645 22112 22200 22803 22880 23088 23400 23680 24050 24420 24876 24960 25567 25740 26048 26400 26455 26640 26949 27456 27640 28600 28800 28860 29304 29600 30404 30525 30784 31095 31200 31680 31746 32175 32560 33168 33300 34320 34550 34632 35200 35520 35932 36075 36630 37440 38005 38480 39072 39600 40700 41184 41460 41600 42328 42624 42900 43290 44224 44400 44915 45606 45760 46176 46800 47619 48100 48840 49752 51134 51480 51825 52096 52800 52910 53280 53898 54912 55280 57200 57720 58608 59200 60808 61050 61568 62190 62400 63360 63492 64350 65120 66336 66600 68409 68640 69100 69264 71040 71864 72150 73260 74880 76010 76701 76960 78144 79200 79365 80847 81400 82368 82920 84656 85800 86580 88448 88800 89830 91212 91520 91575 92352 93600 95238 96200 97680 98813 99504 102268 102960 103650 105600 105820 106560 107796 108225 110560 114015 114400 115440 117216 118400 121616 122100 124380 124800 126984 127835 128700 130240 132275 132672 133200 134745 136818 137280 138200 138528 143728 144300 146520 152020 153402 153920 155475 156288 158400 158730 161694 162800 164736 165840 169312 171600 173160 177600 179660 182424 183150 184704 187200 190025 190476 192400 195360 197626 199008 204536 205920 207300 211640 213120 215592 216450 221120 224575 228030 228800 230103 230880 234432 238095 243232 244200 248760 253968 255670 257400 260480 264550 265344 266400 269490 273636 274560 276400 277056 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8629953727200 8762722246080 8780977917426 8899639781175 9006131197360 9210815997300 9492949099920 9579248637192 9736358051200 9824870397120 9978383997075 10131897597030 10166110468800 10355944472640 10643609596880 10807357436832 10953402807600 11257663996700 11391538919904 11506604969600 11707970556568 11789844476544 11866186374900 11974060796490 12199332562560 12281087996400 12657265466560 12772331516256 12944930590800 13171466876139 13304511996100 13509196796040 14239423649880 14409809915776 14604537076800 14634963195710 14737305595680 15188718559872 15249165703200 15821581833200 15965414395320 16211036155248 16374783995200 16886495995050 17029775355008 17259907454400 17525444492160 17561955834852 17799279562350 18012262394720 18421631994600 18985898199840 19158497274384 19649740794240 19956767994150 20263795194060 20332220937600 20711888945280 21287219193760 21614714873664 21906805615200 21952444793565 22515327993400 22783077839808 23415941113136 23732372749800 23948121592980 24562175992800 25314530933120 25329743992575 25544663032512 25889861181600 26342933752278 26609023992200 27018393592080 28478847299760 29209074153600 29269926391420 29474611191360 29935151991225 30498331406400 31643163666400 31930828790640 32422072310496 32749567990400 33772991990100 34519814908800 35123911669704 35598559124700 36024524789440 36587407989275 36843263989200 37971796399680 38316994548768 39913535988300 40527590388120 42574438387520 43229429747328 43813611230400 43904889587130 45030655986800 45566155679616 46831882226272 47464745499600 47896243185960 49124351985600 50659487985150 51089326065024 51779722363200 52685867504556 53218047984400 54036787184160 56957694599520 58539852782840 58949222382720 59870303982450 60996662812800 63286327332800 63861657581280 64844144620992 65857334380695 67545983980200 70247823339408 71197118249400 72049049578880 73174815978550 73686527978400 75943592799360 76633989097536 79827071976600 81055180776240 85148876775040 87627222460800 87809779174260 90061311973600 93663764452544 94929490999200 95792486371920 98248703971200 101318975970300 103559444726400 105371735009112 106436095968800 108073574368320 109762223967825 113915389199040 117079705565680 119740607964900 126572654665600 127723315162560 129688289241984 131714668761390 135091967960400 140495646678816 142394236498800 146349631957100 147373055956800 153267978195072 159654143953200 162110361552480 175619558348520 180122623947200 187327528905088 189858981998400 191584972743840 202637951940600 210743470018224 212872191937600 216147148736640 219524447935650 227830778398080 234159411131360 239481215929800 255446630325120 263429337522780 270183935920800 280991293357632 284788472997600 292699263914200 294746111913600 319308287906400 324220723104960 329286671903475 351239116697040 360245247894400 379717963996800 383169945487680 405275903881200 421486940036448 425744383875200 439048895871300 468318822262720 478962431859600 526858675045560 540367871841600 561982586715264 569576945995200 585398527828400 638616575812800 648441446209920 658573343806950 702478233394080 766339890975360 810551807762400 842973880072896 878097791742600 936637644525440 957924863719200 1053717350091120 1080735743683200 1139153891990400 1170797055656800 1277233151625600 1317146687613900 1404956466788160 1621103615524800 1685947760145792 1756195583485200 1915849727438400 2107434700182240 2341594111313600 2634293375227800 2809912933576320 3242207231049600 3512391166970400 3831699454876800 4214869400364480 4683188222627200 5268586750455600 7024782333940800 8429738800728960 10537173500911200 14049564667881600 21074347001822400 42148694003644800
- Sum of all divisors σ(n): 181727691610832640
- Sum of proper divisors (its aliquot sum) s(n): 139578997607187840
- 42148694003644800 is an abundant number, because the sum of its proper divisors (139578997607187840) is greater than itself. Its abundance is 97430303603543040
Bases of 42148694003644800
- Binary: 100101011011111000000011100011011101010101111001100000002
- Hexadecimal: 0x95BE038DD57980
- Base-36: BJ0GQPUQN40
Squares and roots of 42148694003644800
- 42148694003644800 squared (421486940036448002) is 1776512406212883119795684567040000
- 42148694003644800 cubed (421486940036448003) is 74877677803145541892198367731722756869947392000000
-
The
square root of 42148694003644800 is 205301471.0216290681 -
The
cube root of 42148694003644800 is 348012.3911220857
Scales and comparisons
How big is 42148694003644800?- 42,148,694,003,644,800 seconds is equal to 1,340,198,094 years, 43 weeks, 6 days, 16 hours.
-
To count from 1 to 42,148,694,003,644,800 would take you about four billion, twenty million, five hundred ninety-four thousand, two hundred eighty-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 42148694003644800 cubic inches would be around 29001 feet tall.
Recreational maths with 42148694003644800
- 42148694003644800 backwards is 00844630049684124
- The number of decimal digits it has is: 17
- The sum of 42148694003644800's digits is 63
- More coming soon!
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"Number 42148694003644800 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 42148694003644800 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/42148694003644800/
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The information we have on file for 42148694003644800 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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