460890401664

Names of 460890401664

• Cardinal: 460890401664 can be written as Four hundred sixty billion, eight hundred ninety million, four hundred one thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 4.60890401664 × 10¹¹

Factors of 460890401664

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 8387

Divisors of 460890401664

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 121 128 132 154 168 173 176 192 224 231 242 264 308 336 346 352 363 384 448 462 484 519 528 616 672 692 704 726 847 896 924 968 1038 1056 1211 1232 1344 1384 1408 1452 1694 1848 1903 1936 2076 2112 2422 2464 2541 2688 2768 2904 3388 3633 3696 3806 3872 4152 4224 4844 4928 5082 5536 5709 5808 6776 7266 7392 7612 7744 8191 8304 9688 9856 10164 11072 11418 11616 13321 13552 14532 14784 15224 15488 16382 16608 19376 20328 20933 22144 22836 23232 24573 26642 27104 29064 29568 30448 32764 33216 38752 39963 40656 41866 45672 46464 49146 53284 54208 57337 58128 60896 62799 65528 66432 77504 79926 81312 83732 90101 91344 98292 106568 108416 114674 116256 121792 125598 131056 146531 155008 159852 162624 167464 172011 180202 182688 196584 213136 229348 232512 243584 251196 262112 270303 293062 319704 325248 334928 344022 360404 365376 393168 426272 439593 458696 465024 502392 524224 540606 586124 630707 639408 669856 688044 720808 730752 786336 852544 879186 917392 991111 1004784 1048448 1081212 1172248 1261414 1278816 1339712 1376088 1417043 1441616 1572672 1705088 1758372 1834784 1892121 1982222 2009568 2162424 2344496 2522828 2557632 2679424 2752176 2834086 2883232 2973333 3145344 3516744 3669568 3784242 3964444 4019136 4251129 4324848 4688992 5045656 5115264 5504352 5668172 5766464 5946666 6937777 7033488 7339136 7568484 7928888 8038272 8502258 8649696 9377984 9919301 10091312 11008704 11336344 11532928 11893332 13875554 14066976 15136968 15587473 15857776 17004516 17299392 18755968 19838602 20182624 20813331 22017408 22672688 23786664 27751108 28133952 29757903 30273936 31174946 31715552 34009032 34598784 39677204 40365248 41626662 45345376 46762419 47573328 55502216 56267904 59515806 60547872 62349892 63431104 68018064 79354408 80730496 83253324 90690752 93524838 95146656 109112311 111004432 119031612 121095744 124699784 126862208 136036128 158708816 166506648 171462203 181381504 187049676 190293312 218224622 222008864 238063224 242191488 249399568 272072256 317417632 327336933 333013296 342924406 374099352 380586624 436449244 444017728 476126448 498799136 514386609 544144512 634835264 654673866 666026592 685848812 748198704 872898488 888035456 952252896 997598272 1028773218 1200235421 1269670528 1309347732 1332053184 1371697624 1496397408 1745796976 1904505792 1995196544 2057546436 2400470842 2618695464 2664106368 2743395248 2992794816 3491593952 3600706263 3809011584 4115092872 4800941684 5237390928 5486790496 5985589632 6983187904 7201412526 8230185744 9601883368 10474781856 10973580992 13966375808 14402825052 16460371488 19203766736 20949563712 21947161984 28805650104 32920742976 38407533472 41899127424 57611300208 65841485952 76815066944 115222600416 153630133888 230445200832 460890401664
• Sum of all divisors σ(n): 1546966794240
• Sum of proper divisors (its aliquot sum) s(n): 1086076392576
• 460890401664 is an abundant number, because the sum of its proper divisors (1086076392576) is greater than itself. Its abundance is 625185990912

Bases of 460890401664

• Binary: 110101101001111001101010110101110000000₂
• Hexadecimal: 0x6B4F356B80
• Base-36: 5VQA8TXC

Squares and roots of 460890401664

• 460890401664 squared (460890401664²) is 212419962346003253968896
• 460890401664 cubed (460890401664³) is 97902321767101195466775479602642944
• The square root of 460890401664 is 678889.0937877851
• The cube root of 460890401664 is 7724.4201470983

Scales and comparisons

• 460,890,401,664 seconds is equal to 14,654 years, 46 weeks, 1 day, 15 hours, 34 minutes, 24 seconds.
• To count from 1 to 460,890,401,664 would take you about twenty-nine thousand, three hundred 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 460890401664 cubic inches would be around 643.7 feet tall.

Recreational maths with 460890401664

• 460890401664 backwards is 466104098064
• 460890401664 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 460890401664's digits is 48
• More coming soon!