478640134995968

Names of 478640134995968

• Cardinal: 478640134995968 can be written as Four hundred seventy-eight trillion, six hundred forty billion, one hundred thirty-four million, nine hundred ninety-five thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 4.78640134995968 × 10¹⁴

Factors of 478640134995968

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 1241

Divisors of 478640134995968

• Number of divisors d(n): 450
• Complete list of divisors:
  1 2 4 8 11 16 22 32 41 44 64 82 88 121 128 164 176 242 256 328 352 451 484 512 656 704 902 968 1024 1187 1312 1331 1408 1681 1804 1936 2048 2374 2624 2662 2816 3362 3608 3872 4096 4748 4961 5248 5324 5632 6724 7216 7744 8192 9496 9922 10496 10648 11264 13057 13448 14432 14641 15488 16384 18491 18992 19844 20992 21296 22528 26114 26896 28864 29282 30976 36982 37984 39688 41984 42592 45056 48667 52228 53792 54571 57728 58564 61952 73964 75968 79376 83968 85184 90112 97334 104456 107584 109142 115456 117128 123904 143627 147928 151936 158752 167936 170368 180224 194668 203401 208912 215168 218284 230912 234256 247808 287254 295856 303872 317504 335872 340736 389336 406802 417824 430336 436568 461824 468512 495616 535337 574508 591712 600281 607744 635008 671744 681472 778672 813604 835648 860672 873136 923648 937024 991232 1070674 1149016 1183424 1200562 1215488 1270016 1362944 1557344 1579897 1627208 1671296 1721344 1746272 1847296 1874048 1982464 1995347 2141348 2237411 2298032 2366848 2401124 2430976 2540032 2725888 3114688 3159794 3254416 3342592 3442688 3492544 3694592 3748096 3990694 4282696 4474822 4596064 4733696 4802248 4861952 5080064 5451776 5888707 6229376 6319588 6508832 6685184 6885376 6985088 7389184 7496192 7981388 8565392 8949644 9192128 9467392 9604496 9723904 10160128 10903552 11777414 12458752 12639176 13017664 13370368 13770752 13970176 14992384 15962776 17130784 17378867 17899288 18384256 18934784 19208992 19447808 20320256 21807104 21948817 23554828 24611521 24917504 25278352 26035328 26740736 27541504 27940352 29984768 31925552 34261568 34757734 35798576 36768512 37869568 38417984 40640512 43897634 47109656 49223042 49835008 50556704 52070656 53481472 55880704 59969536 63851104 64775777 68523136 69515468 71597152 73537024 75739136 76835968 81281024 87795268 94219312 98446084 99670016 101113408 104141312 106962944 111761408 119939072 127702208 129551554 137046272 139030936 143194304 147074048 151478272 153671936 175590536 188438624 196892168 199340032 202226816 208282624 213925888 223522816 239878144 241436987 255404416 259103108 274092544 278061872 286388608 294148096 302956544 307343872 351181072 376877248 393784336 398680064 404453632 416565248 447045632 482873974 510808832 518206216 548185088 556123744 572777216 588296192 614687744 702362144 712533547 753754496 787568672 797360128 808907264 833130496 894091264 965747948 1021617664 1036412432 1096370176 1112247488 1145554432 1176592384 1229375488 1404724288 1425067094 1507508992 1575137344 1617814528 1666260992 1931495896 2043235328 2072824864 2192740352 2224494976 2291108864 2353184768 2458750976 2655806857 2809448576 2850134188 3015017984 3150274688 3235629056 3332521984 3862991792 4086470656 4145649728 4385480704 4448989952 4582217728 4917501952 5311613714 5618897152 5700268376 6030035968 6300549376 6471258112 7725983584 8172941312 8291299456 8770961408 8897979904 9164435456 9835003904 10623227428 11237794304 11400536752 12060071936 12601098752 12942516224 15451967168 16345882624 16582598912 17795959808 18328870912 21246454856 22475588608 22801073504 24120143872 25202197504 25885032448 29213875427 30903934336 32691765248 33165197824 35591919616 36657741824 42492909712 44951177216 45602147008 48240287744 50404395008 58427750854 61807868672 66330395648 71183839232 84985819424 89902354432 91204294016 96480575488 100808790016 116855501708 123615737344 132660791296 142367678464 169971638848 179804708864 182408588032 201617580032 233711003416 247231474688 265321582592 284735356928 339943277696 359609417728 364817176064 403235160064 467422006832 494462949376 530643165184 679886555392 729634352128 934844013664 988925898752 1061286330368 1359773110784 1459268704256 1869688027328 1977851797504 2719546221568 2918537408512 3739376054656 3955703595008 5439092443136 5837074817024 7478752109312 10878184886272 11674149634048 14957504218624 21756369772544 29915008437248 43512739545088 59830016874496 119660033748992 239320067497984 478640134995968
• Sum of all divisors σ(n): 1080187452992340
• Sum of proper divisors (its aliquot sum) s(n): 601547317996372
• 478640134995968 is an abundant number, because the sum of its proper divisors (601547317996372) is greater than itself. Its abundance is 122907183000404

Bases of 478640134995968

• Binary: 1101100110101001000010111001110001100000000000000₂
• Hexadecimal: 0x1B3521738C000
• Base-36: 4PNW8Q95VK

Squares and roots of 478640134995968

• 478640134995968 squared (478640134995968²) is 229096378828958470951376257024
• 478640134995968 cubed (478640134995968³) is 109654721689780107846121949542886109171679232
• The square root of 478640134995968 is 21877845.7576601449
• The cube root of 478640134995968 is 78223.3427280973

Scales and comparisons

• 478,640,134,995,968 seconds is equal to 15,219,275 years, 39 weeks, 4 days, 6 hours, 26 minutes, 8 seconds.
• To count from 1 to 478,640,134,995,968 would take you about thirty-eight million, forty-eight thousand, one hundred eighty-nine 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 478640134995968 cubic inches would be around 6518.6 feet tall.

Recreational maths with 478640134995968

• 478640134995968 backwards is 869599431046874
• The number of decimal digits it has is: 15
• The sum of 478640134995968's digits is 83
• More coming soon!