400980735736472988

Names of 400980735736472988

• Cardinal: 400980735736472988 can be written as Four hundred quadrillion, nine hundred eighty trillion, seven hundred thirty-five billion, seven hundred thirty-six million, four hundred seventy-two thousand, nine hundred eighty-eight.

Scientific notation

• Scientific notation: 4.00980735736472988 × 10¹⁷

Factors of 400980735736472988

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 810

Divisors of 400980735736472988

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 9 12 18 19 36 38 57 76 114 127 171 228 254 342 381 508 659 684 762 1143 1318 1524 1977 2286 2413 2636 3954 4572 4826 5931 7239 7908 9652 11862 12521 14478 16129 21717 23724 25042 28956 32258 37563 43434 48387 50084 64516 75126 83693 86868 96774 112689 145161 150252 167386 193548 225378 251079 290322 306451 334772 434281 450756 502158 580644 612902 753237 868562 919353 1004316 1225804 1302843 1506474 1590167 1737124 1838706 2048383 2605686 2758059 3012948 3180334 3677412 3908529 4096766 4770501 5211372 5516118 6145149 6360668 7817058 8193532 8251339 9541002 10629011 11032236 12290298 14311503 15634116 16502678 18435447 19082004 21258022 24580596 24754017 28623006 31887033 33005356 36870894 38919277 42516044 49508034 55153687 57246012 63774066 73741788 74262051 77838554 95661099 99016068 110307374 116757831 127548132 148524102 155677108 165461061 191322198 201951209 220614748 233515662 286191179 297048204 330922122 350273493 382644396 403902418 467031324 496383183 572382358 605853627 661844244 700546986 807804836 858573537 992766366 1047920053 1144764716 1211707254 1349884397 1401093972 1717147074 1817560881 1985532732 2095840106 2423414508 2575720611 2699768794 3143760159 3434294148 3635121762 4049653191 4191680212 5151441222 5399537588 5437632401 6287520318 7004518249 7270243524 8099306382 9431280477 10302882444 10875264802 12148959573 12575040636 14009036498 16198612764 16312897203 18862560954 21013554747 21750529604 24297919146 25647803543 28018072996 32625794406 36346279733 37725121908 42027109494 48595838292 48938691609 51295607086 63040664241 65251588812 72692559466 76943410629 84054218988 97877383218 102591214172 109038839199 126081328482 133085846731 145385118932 153886821258 195754766436 218077678398 230830231887 252162656964 266171693462 307773642516 327116517597 399257540193 436155356796 461660463774 532343386924 654233035194 690579314927 798515080386 889573817623 923320927548 1197772620579 1308466070388 1381158629854 1597030160772 1779147635246 2071737944781 2395545241158 2668721452869 2762317259708 3558295270492 4143475889562 4615977526091 4791090482316 5337442905738 6215213834343 8006164358607 8286951779124 9231955052182 10674885811476 12430427668686 13847932578273 16012328717214 16901902534837 18463910104364 24860855337372 27695865156546 32024657434428 33803805069674 41543797734819 50705707604511 55391730313092 67607610139348 83087595469638 87703572995729 101411415209022 152117122813533 166175190939276 175407145991458 202822830418044 263110718987187 304234245627066 350814291982916 526221437974374 586229145813557 608468491254132 789332156961561 1052442875948748 1172458291627114 1578664313923122 1758687437440671 2344916583254228 3157328627846244 3517374874881342 5276062312322013 7034749749762684 10552124624644026 11138353770457583 21104249249288052 22276707540915166 33415061311372749 44553415081830332 66830122622745498 100245183934118247 133660245245490996 200490367868236494 400980735736472988
• Sum of all divisors σ(n): 1077039149362176000
• Sum of proper divisors (its aliquot sum) s(n): 676058413625703012
• 400980735736472988 is an abundant number, because the sum of its proper divisors (676058413625703012) is greater than itself. Its abundance is 275077677889230024

Bases of 400980735736472988

• Binary: 10110010000100100011101101011001011010110001110010110011100₂
• Hexadecimal: 0x59091DACB58E59C
• Base-36: 31O7T2Z5P7Z0

Squares and roots of 400980735736472988

• 400980735736472988 squared (400980735736472988²) is 160785550431763185614164822053648144
• 400980735736472988 cubed (400980735736472988³) is 64471908307922184267214560175878623834844384912334272
• The square root of 400980735736472988 is 633230397.0408187757
• The cube root of 400980735736472988 is 737407.9851411909

Scales and comparisons

• 400,980,735,736,472,988 seconds is equal to 12,749,947,081 years, 29 weeks, 3 days, 15 hours, 49 minutes, 48 seconds.
• To count from 1 to 400,980,735,736,472,988 would take you about thirty-eight billion, two hundred forty-nine million, eight hundred forty-one thousand, two hundred forty-four 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 400980735736472988 cubic inches would be around 61450.7 feet tall.

Recreational maths with 400980735736472988

• 400980735736472988 backwards is 889274637537089004
• The number of decimal digits it has is: 18
• The sum of 400980735736472988's digits is 90
• More coming soon!