42048859454586880

Names of 42048859454586880

• Cardinal: 42048859454586880 can be written as Forty-two quadrillion, forty-eight trillion, eight hundred fifty-nine billion, four hundred fifty-four million, five hundred eighty-six thousand, eight hundred eighty.

Scientific notation

• Scientific notation: 4.204885945458688 × 10¹⁶

Factors of 42048859454586880

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 4162

Divisors of 42048859454586880

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 67 70 80 97 98 112 128 134 140 160 194 196 224 245 256 268 280 320 335 388 392 448 457 469 485 490 512 536 560 640 670 679 776 784 896 914 938 970 980 1024 1072 1120 1280 1340 1358 1552 1568 1792 1828 1876 1940 1960 2048 2144 2240 2285 2345 2560 2680 2716 3104 3136 3199 3283 3395 3527 3584 3656 3752 3880 3920 4096 4288 4480 4570 4690 4753 5120 5360 5432 6208 6272 6398 6499 6566 6790 7054 7168 7312 7504 7760 7840 8192 8576 8960 9140 9380 9506 10240 10720 10864 12416 12544 12796 12998 13132 13580 14108 14336 14624 15008 15520 15680 15995 16384 16415 17152 17635 17920 18280 18760 19012 20480 21440 21728 22393 23765 24689 24832 25088 25592 25996 26264 27160 28216 28672 29248 30016 30619 31040 31360 31990 32495 32830 34304 35270 35840 36560 37520 38024 40960 42880 43456 44329 44786 45493 47530 49378 49664 50176 51184 51992 52528 54320 56432 57344 58496 60032 61238 62080 62720 63980 64990 65660 68608 70540 71680 73120 75040 76048 81920 85760 86912 88658 89572 90986 95060 98756 99328 100352 102368 103984 105056 108640 111965 112864 114688 116992 120064 122476 123445 124160 125440 127960 129980 131320 137216 141080 143360 146240 150080 152096 153095 171520 172823 173824 177316 179144 181972 190120 197512 198656 200704 204736 207968 210112 214333 217280 221645 223930 225728 227465 233984 236309 240128 244952 246890 248320 250880 255920 259960 262640 274432 282160 286720 292480 300160 304192 306190 310303 318451 342119 343040 345646 347648 354632 358288 363944 380240 395024 397312 401408 409472 415936 420224 428666 434560 443290 447860 451456 454930 467968 472618 480256 489904 493780 496640 501760 511840 519920 525280 548864 564320 573440 584960 600320 608384 612380 620606 636902 684238 686080 691292 695296 709264 716576 727888 760480 790048 794624 802816 818944 831872 840448 857332 864115 869120 886580 895720 902912 909860 935936 945236 960512 979808 987560 993280 1003520 1023680 1039840 1050560 1071665 1097728 1128640 1169920 1181545 1200640 1216768 1224760 1241212 1273804 1368476 1372160 1382584 1390592 1418528 1433152 1455776 1500331 1520960 1551515 1580096 1589248 1592255 1611839 1637888 1654163 1663744 1680896 1710595 1714664 1728230 1738240 1773160 1791440 1805824 1819720 1871872 1890472 1921024 1959616 1975120 1986560 2007040 2047360 2079680 2101120 2143330 2172121 2257280 2339840 2363090 2394833 2401280 2433536 2449520 2482424 2547608 2736952 2744320 2765168 2781184 2837056 2866304 2911552 2970043 3000662 3041920 3103030 3160192 3184510 3223678 3275776 3308326 3327488 3361792 3421190 3429328 3456460 3476480 3546320 3582880 3611648 3639440 3743744 3780944 3842048 3919232 3950240 3973120 4014080 4094720 4159360 4202240 4286660 4344242 4514560 4679680 4726180 4789666 4802560 4867072 4899040 4964848 5095216 5473904 5488640 5530336 5562368 5674112 5732608 5823104 5940086 6001324 6083840 6206060 6320384 6369020 6447356 6551552 6616652 6654976 6723584 6842380 6858656 6912920 6952960 7092640 7165760 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80875633664 82152351232 83802733288 84666678992 85157072896 85830814720 87555094480 88970076160 89854134160 92429295616 93140548480 93888401408 94856323072 96761918848 98092359680 100062965120 101094542080 102690439040 104753416610 105833348740 106446341120 110585050112 115536619520 117360501760 118570403840 120952398560 121652961280 122577132272 122907115520 132041850880 135509032960 137329303552 138231312640 140088151168 143766614656 146654783254 149024877568 153221415340 160100744192 161751267328 164304702464 167605466576 169333357984 170314145792 171661629440 175110188960 177940152320 179708268320 184858591232 186281096960 187776802816 189712646144 193523837696 196184719360 200125930240 202189084160 205380878080 209506833220 211666697480 212892682240 221170100224 231073239040 234721003520 237140807680 241904797120 243305922560 245154264544 274658607104 276462625280 280176302336 287533229312 293309566508 298049755136 306442830680 320201488384 323502534656 328609404928 335210933152 338666715968 340628291584 343323258880 350220377920 359416536640 366636958135 372562193920 375553605632 387047675392 400251860480 404378168320 410761756160 419013666440 423333394960 425785364480 442340200448 462146478080 469442007040 474281615360 483809594240 490308529088 513291741389 552925250560 560352604672 575066458624 586619133016 596099510272 612885661360 640402976768 647005069312 657218809856 670421866304 677333431936 686646517760 700440755840 718833073280 733273916270 745124387840 774095350784 800503720960 808756336640 821523512320 838027332880 846666789920 851570728960 884680400896 924292956160 938884014080 948563230720 967619188480 980617058176 1026583482778 1105850501120 1120705209344 1150132917248 1173238266032 1192199020544 1225771322720 1280805953536 1294010138624 1314437619712 1340843732608 1354666863872 1373293035520 1400881511680 1437666146560 1466547832540 1490248775680 1548190701568 1601007441920 1617512673280 1643047024640 1676054665760 1693333579840 1703141457920 1769360801792 1877768028160 1935238376960 1961234116352 2053166965556 2211701002240 2241410418688 2300265834496 2346476532064 2384398041088 2451542645440 2561611907072 2566458706945 2628875239424 2681687465216 2709333727744 2801763023360 2875332293120 2933095665080 2980497551360 3096381403136 3202014883840 3235025346560 3286094049280 3352109331520 3386667159680 3870476753920 3922468232704 4106333931112 4423402004480 4482820837376 4600531668992 4692953064128 4903085290880 5132917413890 5363374930432 5418667455488 5603526046720 5750664586240 5866191330160 5960995102720 6192762806272 6404029767680 6470050693120 6572188098560 6704218663040 6773334319360 7740953507840 7844936465408 8212667862224 8846804008960 8965641674752 9201063337984 9385906128256 9806170581760 10265834827780 10726749860864 10837334910976 11207052093440 11501329172480 11732382660320 11921990205440 12385525612544 12808059535360 13144376197120 13408437326080 13546668638720 15481907015680 15689872930816 16425335724448 17931283349504 18402126675968 18771812256512 19612341163520 20531669655560 21453499721728 21674669821952 22414104186880 23002658344960 23464765320640 26816874652160 27093337277440 30963814031360 31379745861632 32850671448896 37543624513024 39224682327040 41063339311120 42906999443456 43349339643904 44828208373760 46005316689920 46929530641280 53633749304320 54186674554880 61927628062720 62759491723264 65701342897792 75087249026048 78449364654080 82126678622240 85813998886912 86698679287808 89656416747520 92010633379840 93859061282560 107267498608640 108373349109760 125518983446528 131402685795584 150174498052096 156898729308160 164253357244480 171627997773824 187718122565120 214534997217280 216746698219520 262805371591168 300348996104192 313797458616320 328506714488960 375436245130240 429069994434560 433493396439040 525610743182336 600697992208384 627594917232640 657013428977920 750872490260480 858139988869120 1051221486364672 1201395984416768 1314026857955840 1501744980520960 2102442972729344 2628053715911680 3003489961041920 4204885945458688 5256107431823360 6006979922083840 8409771890917376 10512214863646720 21024429727293440 42048859454586880
• Sum of all divisors σ(n): 120667920935272704
• Sum of proper divisors (its aliquot sum) s(n): 78619061480685824
• 42048859454586880 is an abundant number, because the sum of its proper divisors (78619061480685824) is greater than itself. Its abundance is 36570202026098944

Bases of 42048859454586880

• Binary: 10010101011000110011011100000011000000000100000000000000₂
• Hexadecimal: 0x95633703004000
• Base-36: BI12RCXVRWG

Squares and roots of 42048859454586880

• 42048859454586880 squared (42048859454586880²) is 1768106581431600447389071468134400
• 42048859454586880 cubed (42048859454586880³) is 74346865143347439717057165089708523445836316672000
• The square root of 42048859454586880 is 205058185.5342207013
• The cube root of 42048859454586880 is 347737.4033381217

Scales and comparisons

• 42,048,859,454,586,880 seconds is equal to 1,337,023,664 years, 51 weeks, 4 days, 17 hours, 14 minutes, 40 seconds.
• To count from 1 to 42,048,859,454,586,880 would take you about four billion, eleven million, seventy thousand, nine hundred ninety-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 42048859454586880 cubic inches would be around 28978.1 feet tall.

Recreational maths with 42048859454586880

• 42048859454586880 backwards is 08868545495884024
• The number of decimal digits it has is: 17
• The sum of 42048859454586880's digits is 88
• More coming soon!