638680995887005344

Names of 638680995887005344

• Cardinal: 638680995887005344 can be written as Six hundred thirty-eight quadrillion, six hundred eighty trillion, nine hundred ninety-five billion, eight hundred eighty-seven million, five thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 6.38680995887005344 × 10¹⁷

Factors of 638680995887005344

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 186979765684

Divisors of 638680995887005344

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 17 21 23 24 26 28 32 34 39 42 46 48 51 52 56 68 69 78 84 91 92 96 102 104 112 119 136 138 156 161 168 182 184 204 208 221 224 238 272 273 276 299 312 322 336 357 364 368 391 408 416 442 476 483 544 546 552 598 624 644 663 672 714 728 736 782 816 884 897 952 966 1092 1104 1173 1196 1248 1288 1326 1428 1456 1547 1564 1632 1768 1794 1904 1932 2093 2184 2208 2346 2392 2576 2652 2737 2856 2912 3094 3128 3536 3588 3808 3864 4186 4368 4641 4692 4784 5083 5152 5304 5474 5712 6188 6256 6279 7072 7176 7728 8211 8372 8736 9282 9384 9568 10166 10608 10948 11424 12376 12512 12558 14352 15249 15456 16422 16744 18564 18768 20332 21216 21896 24752 25116 28704 30498 32844 33488 35581 37128 37536 40664 43792 49504 50232 60996 65688 66976 71162 74256 81328 87584 100464 106743 121992 131376 142324 148512 162656 200928 213486 243984 262752 284648 426972 487968 569296 853944 1138592 1707888 3415776 186979765619 373959531238 560939296857 747919062476 1121878593714 1308858359333 1495838124952 2243757187428 2430736953047 2617716718666 2991676249904 3178656015523 3926575077999 4300534609237 4487514374856 4861473906094 5235433437332 5983352499808 6357312031046 7292210859141 7853150155998 8601069218474 8975028749712 9535968046569 9722947812188 10470866874664 12714624062092 12901603827711 14584421718282 15706300311996 17015158671329 17202138436948 17950057499424 19071936093138 19445895624376 20941733749328 22250592108661 25429248124184 25803207655422 29168843436564 30103742264659 31412600623992 34030317342658 34404276873896 38143872186276 38891791248752 41322528201799 41883467498656 44501184217322 50858496248368 51045476013987 51606415310844 55906949920081 58337686873128 60207484529318 62825201247984 66751776325983 68060634685316 68808553747792 73109088357029 76287744372552 77783582497504 82645056403598 89002368434644 90311226793977 101716992496736 102090952027974 103212830621688 111813899840162 116675373746256 120414969058636 123967584605397 125650402495968 133503552651966 136121269370632 137617107495584 146218176714058 152575488745104 165290112807196 167720849760243 178004736869288 180622453587954 204181904055948 206425661243376 219327265071087 223627799680324 233350747492512 240829938117272 247935169210794 267007105303932 272242538741264 289257697412593 292436353428116 305150977490208 330580225614392 335441699520486 356009473738576 361244907175908 391348649440567 408363808111896 412851322486752 438654530142174 447255599360648 481659876234544 495870338421588 511763618499203 534014210607864 544485077482528 578515394825186 584872706856232 661160451228784 670883399040972 712018947477152 722489814351816 782697298881134 816727616223792 867773092237779 877309060284348 894511198721296 950418148641377 963319752469088 991740676843176 1023527236998406 1068028421215728 1157030789650372 1169745413712464 1174045948321701 1322320902457568 1341766798081944 1444979628703632 1535290855497609 1565394597762268 1633455232447584 1735546184475558 1754618120568696 1789022397442592 1900836297282754 1983481353686352 2047054473996812 2136056842431456 2314061579300744 2339490827424928 2348091896643402 2683533596163888 2851254445924131 2889959257407264 3070581710995218 3130789195524536 3471092368951116 3509236241137392 3801672594565508 3966962707372704 4094108947993624 4628123158601488 4696183793286804 5367067192327776 5702508891848262 6141163421990436 6261578391049072 6652927040489639 6942184737902232 7018472482274784 7603345189131016 8188217895987248 9256246317202976 9392367586573608 11405017783696524 12282326843980872 12523156782098144 13305854080979278 13884369475804464 15206690378262032 16376435791974496 18784735173147216 19958781121468917 22810035567393048 24564653687961744 26611708161958556 27768738951608928 30413380756524064 37569470346294432 39917562242937834 45620071134786096 49129307375923488 53223416323917112 79835124485875668 91240142269572192 106446832647834224 159670248971751336 212893665295668448 319340497943502672 638680995887005344
• Sum of all divisors σ(n): 2279800902899036160
• Sum of proper divisors (its aliquot sum) s(n): 1641119907012030816
• 638680995887005344 is an abundant number, because the sum of its proper divisors (1641119907012030816) is greater than itself. Its abundance is 1002438911125025472

Bases of 638680995887005344

• Binary: 100011011101000011001111101101011100101000110011111010100000₂
• Hexadecimal: 0x8DD0CFB5CA33EA0
• Base-36: 4UOPIMZSHBXC

Squares and roots of 638680995887005344

• 638680995887005344 squared (638680995887005344²) is 407913414507216937139253040284558336
• 638680995887005344 cubed (638680995887005344³) is 260526545813138126650139135135546320072674844711747584
• The square root of 638680995887005344 is 799175197.2421349765
• The cube root of 638680995887005344 is 861181.4462927441

Scales and comparisons

• 638,680,995,887,005,344 seconds is equal to 20,308,080,099 years, 9 weeks, 14 hours, 22 minutes, 24 seconds.
• To count from 1 to 638,680,995,887,005,344 would take you about sixty billion, nine hundred twenty-four million, two hundred forty thousand, two hundred ninety-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 638680995887005344 cubic inches would be around 71765.1 feet tall.

Recreational maths with 638680995887005344

• 638680995887005344 backwards is 443500788599086836
• The number of decimal digits it has is: 18
• The sum of 638680995887005344's digits is 93
• More coming soon!