42842618974961664

Names of 42842618974961664

• Cardinal: 42842618974961664 can be written as Forty-two quadrillion, eight hundred forty-two trillion, six hundred eighteen billion, nine hundred seventy-four million, nine hundred sixty-one thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 4.2842618974961664 × 10¹⁶

Factors of 42842618974961664

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 30
• Sum of prime factors: 28

Divisors of 42842618974961664

• Number of divisors d(n): 368
• Complete list of divisors:
  1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 529 552 736 768 1024 1058 1104 1472 1536 1587 2048 2116 2208 2944 3072 3174 4096 4232 4416 5888 6144 6348 8192 8464 8832 11776 12167 12288 12696 16384 16928 17664 23552 24334 24576 25392 32768 33856 35328 36501 47104 48668 49152 50784 65536 67712 70656 73002 94208 97336 98304 101568 131072 135424 141312 146004 188416 194672 196608 203136 262144 270848 279841 282624 292008 376832 389344 393216 406272 524288 541696 559682 565248 584016 753664 778688 786432 812544 839523 1048576 1083392 1119364 1130496 1168032 1507328 1557376 1572864 1625088 1679046 2097152 2166784 2238728 2260992 2336064 3014656 3114752 3145728 3250176 3358092 4194304 4333568 4477456 4521984 4672128 6029312 6229504 6291456 6436343 6500352 6716184 8667136 8954912 9043968 9344256 12058624 12459008 12582912 12872686 13000704 13432368 17334272 17909824 18087936 18688512 19309029 24117248 24918016 25745372 26001408 26864736 34668544 35819648 36175872 37377024 38618058 48234496 49836032 51490744 52002816 53729472 69337088 71639296 72351744 74754048 77236116 96468992 99672064 102981488 104005632 107458944 138674176 143278592 144703488 148035889 149508096 154472232 199344128 205962976 208011264 214917888 277348352 286557184 289406976 296071778 299016192 308944464 398688256 411925952 416022528 429835776 444107667 554696704 573114368 592143556 598032384 617888928 797376512 823851904 832045056 859671552 888215334 1109393408 1146228736 1184287112 1196064768 1235777856 1594753024 1647703808 1664090112 1719343104 1776430668 2218786816 2292457472 2368574224 2392129536 2471555712 3189506048 3295407616 3328180224 3404825447 3438686208 3552861336 4584914944 4737148448 4784259072 4943111424 6379012096 6590815232 6656360448 6809650894 6877372416 7105722672 9169829888 9474296896 9568518144 9886222848 10214476341 12758024192 13181630464 13619301788 13754744832 14211445344 18339659776 18948593792 19137036288 19772445696 20428952682 25516048384 26363260928 27238603576 27509489664 28422890688 36679319552 37897187584 38274072576 39544891392 40857905364 51032096768 52726521856 54477207152 55018979328 56845781376 73358639104 75794375168 76548145152 79089782784 81715810728 105453043712 108954414304 110037958656 113691562752 146717278208 151588750336 153096290304 158179565568 163431621456 210906087424 217908828608 220075917312 227383125504 293434556416 303177500672 316359131136 326863242912 421812174848 435817657216 440151834624 454766251008 586869112832 606355001344 632718262272 653726485824 843624349696 871635314432 880303669248 909532502016 1173738225664 1212710002688 1265436524544 1307452971648 1687248699392 1743270628864 1760607338496 1819065004032 2425420005376 2530873049088 2614905943296 3374497398784 3486541257728 3521214676992 3638130008064 4850840010752 5061746098176 5229811886592 6748994797568 6973082515456 7276260016128 9701680021504 10123492196352 10459623773184 13497989595136 13946165030912 14552520032256 19403360043008 20246984392704 20919247546368 26995979190272 27892330061824 29105040064512 38806720086016 40493968785408 41838495092736 55784660123648 58210080129024 77613440172032 80987937570816 83676990185472 111569320247296 116420160258048 155226880344064 167353980370944 223138640494592 232840320516096 310453760688128 334707960741888 446277280989184 465680641032192 620907521376256 669415921483776 892554561978368 931361282064384 1338831842967552 1785109123956736 1862722564128768 2677663685935104 3570218247913472 5355327371870208 7140436495826944 10710654743740416 14280872991653888 21421309487480832 42842618974961664
• Sum of all divisors σ(n): 119440014417582720
• Sum of proper divisors (its aliquot sum) s(n): 76597395442621056
• 42842618974961664 is an abundant number, because the sum of its proper divisors (76597395442621056) is greater than itself. Its abundance is 33754776467659392

Bases of 42842618974961664

• Binary: 10011000001101010010001010001101010000000000000000000000₂
• Hexadecimal: 0x9835228D400000
• Base-36: BPUFVG61T6O

Squares and roots of 42842618974961664

• 42842618974961664 squared (42842618974961664²) is 1835490000633745221342950269648896
• 42842618974961664 cubed (42842618974961664³) is 78637198729503689700558760948135755015864339922944
• The square root of 42842618974961664 is 206984586.3221743959
• The cube root of 42842618974961664 is 349911.8661760457

Scales and comparisons

• 42,842,618,974,961,664 seconds is equal to 1,362,262,762 years, 25 weeks, 12 hours, 54 minutes, 24 seconds.
• To count from 1 to 42,842,618,974,961,664 would take you about four billion, eighty-six million, seven hundred eighty-eight thousand, two hundred eighty-seven 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 42842618974961664 cubic inches would be around 29159.3 feet tall.

Recreational maths with 42842618974961664

• 42842618974961664 backwards is 46616947981624824
• The number of decimal digits it has is: 17
• The sum of 42842618974961664's digits is 87
• More coming soon!