401606135296704

Names of 401606135296704

• Cardinal: 401606135296704 can be written as Four hundred one trillion, six hundred six billion, one hundred thirty-five million, two hundred ninety-six thousand, seven hundred four.

Scientific notation

• Scientific notation: 4.01606135296704 × 10¹⁴

Factors of 401606135296704

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 122730719

Divisors of 401606135296704

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 19 23 24 26 32 36 38 39 46 48 52 57 64 69 72 76 78 92 96 104 114 117 138 144 152 156 171 184 192 207 208 228 234 247 276 288 299 304 312 342 368 414 416 437 456 468 494 552 576 598 608 624 684 736 741 828 832 874 897 912 936 988 1104 1196 1216 1248 1311 1368 1472 1482 1656 1748 1794 1824 1872 1976 2208 2223 2392 2496 2622 2691 2736 2964 3312 3496 3588 3648 3744 3933 3952 4416 4446 4784 5244 5382 5472 5681 5928 6624 6992 7176 7488 7866 7904 8892 9568 10488 10764 10944 11362 11856 13248 13984 14352 15732 15808 17043 17784 19136 20976 21528 22724 23712 27968 28704 31464 34086 35568 41952 43056 45448 47424 51129 57408 62928 68172 71136 83904 86112 90896 102258 125856 136344 142272 172224 181792 204516 251712 272688 363584 409032 545376 818064 1090752 1636128 3272256 122730659 245461318 368191977 490922636 736383954 981845272 1104575931 1472767908 1595498567 1963690544 2209151862 2331882521 2822805157 2945535816 3190997134 3927381088 4418303724 4663765042 4786495701 5645610314 5891071632 6381994268 6995647563 7854762176 8468415471 8836607448 9327530084 9572991402 11291220628 11782143264 12763988536 13991295126 14359487103 16936830942 17673214896 18655060168 19145982804 20986942689 22582441256 23564286528 25405246413 25527977072 27982590252 28718974206 30314472773 33873661884 35346429792 36696467041 37310120336 38291965608 41973885378 45164882512 50810492826 51055954144 53633297983 55965180504 57437948412 60628945546 67747323768 70692859584 73392934082 74620240672 76583931216 83947770756 90329765024 90943418319 101620985652 102111908288 107266595966 110089401123 111930361008 114875896824 121257891092 135494647536 146785868164 149240481344 153167862432 160899893949 167895541512 180659530048 181886836638 203241971304 214533191932 220178802246 223860722016 229751793648 242515782184 270989295072 272830254957 293571736328 306335724864 321799787898 330268203369 335791083024 363773673276 406483942608 429066383864 440357604492 447721444032 459503587296 482699681847 485031564368 541978590144 545660509914 587143472656 643599575796 660536406738 671582166048 697232873779 727547346552 812967885216 858132767728 880715208984 919007174592 965399363694 970063128736 1091321019828 1174286945312 1287199151592 1321072813476 1343164332096 1394465747558 1455094693104 1625935770432 1716265535456 1761430417968 1930798727388 1940126257472 2091698621337 2182642039656 2348573890624 2574398303184 2642145626952 2788931495116 2910189386208 3432531070912 3522860835936 3861597454776 4183397242674 4365284079312 5148796606368 5284291253904 5577862990232 5820378772416 6275095864011 7045721671872 7723194909552 8366794485348 8730568158624 10297593212736 10568582507808 11155725980464 12550191728022 15446389819104 16733588970696 17461136317248 21137165015616 22311451960928 25100383456044 30892779638208 33467177941392 44622903921856 50200766912088 66934355882784 100401533824176 133868711765568 200803067648352 401606135296704
• Sum of all divisors σ(n): 1361662308115200
• Sum of proper divisors (its aliquot sum) s(n): 960056172818496
• 401606135296704 is an abundant number, because the sum of its proper divisors (960056172818496) is greater than itself. Its abundance is 558450037521792

Bases of 401606135296704

• Binary: 1011011010100001000110111000010001011001011000000₂
• Hexadecimal: 0x16D423708B2C0
• Base-36: 3YCVB7SJ40

Squares and roots of 401606135296704

• 401606135296704 squared (401606135296704²) is 161287487907954518446113263616
• 401606135296704 cubed (401606135296704³) is 64774044690427492721171491014093473927921664
• The square root of 401606135296704 is 20040113.1557859223
• The cube root of 401606135296704 is 73779.1158225957

Scales and comparisons

• 401,606,135,296,704 seconds is equal to 12,769,832 years, 44 weeks, 2 days, 12 hours, 38 minutes, 24 seconds.
• To count from 1 to 401,606,135,296,704 would take you about thirty-one million, nine hundred twenty-four thousand, five hundred eighty-two 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 401606135296704 cubic inches would be around 6148.3 feet tall.

Recreational maths with 401606135296704

• 401606135296704 backwards is 407692531606104
• The number of decimal digits it has is: 15
• The sum of 401606135296704's digits is 54
• More coming soon!