42814591697664

Names of 42814591697664

• Cardinal: 42814591697664 can be written as Forty-two trillion, eight hundred fourteen billion, five hundred ninety-one million, six hundred ninety-seven thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 4.2814591697664 × 10¹³

Factors of 42814591697664

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 5066

Divisors of 42814591697664

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 379 384 432 576 648 758 768 864 1137 1152 1296 1516 1728 2161 2274 2304 2521 2592 3032 3411 3456 4322 4548 5042 5184 6064 6483 6822 6912 7563 8644 9096 10084 10233 10368 12128 12966 13644 15126 17288 18192 19449 20168 20466 20736 22689 24256 25932 27288 30252 30699 34576 36384 38898 40336 40932 45378 48512 51864 54576 58347 60504 61398 68067 69152 72768 77796 80672 81864 90756 97024 103728 109152 116694 121008 122796 136134 138304 145536 155592 161344 163728 175041 181512 204201 207456 218304 233388 242016 245592 272268 276608 291072 311184 322688 327456 350082 363024 408402 414912 436608 466776 484032 491184 544536 553216 622368 645376 654912 700164 726048 816804 819019 829824 873216 933552 955459 968064 982368 1089072 1244736 1309824 1400328 1452096 1633608 1638038 1659648 1867104 1910918 1936128 1964736 2178144 2457057 2489472 2619648 2800656 2866377 2904192 3267216 3276076 3734208 3821836 3929472 4356288 4914114 4978944 5447881 5601312 5732754 5808384 6534432 6552152 7371171 7468416 7643672 7858944 8599131 8712576 9828228 10895762 11202624 11465508 13068864 13104304 14742342 14936832 15287344 16343643 17198262 17425152 19656456 21791524 22113513 22405248 22931016 25797393 26137728 26208608 29484684 30574688 32687286 34396524 39312912 43583048 44227026 44810496 45862032 49030929 51594786 52275456 52417216 58969368 61149376 65374572 66340539 68793048 77392179 78625824 87166096 88454052 91724064 98061858 103189572 104834432 117938736 122298752 130749144 132681078 137586096 147092787 154784358 157251648 174332192 176908104 183448128 196123716 206379144 209668864 235877472 244597504 261498288 265362156 275172192 294185574 309568716 314503296 348664384 353816208 366896256 392247432 412758288 441278361 471754944 522996576 530724312 550344384 588371148 619137432 629006592 697328768 707632416 733792512 784494864 825516576 882556722 943509888 1045993152 1061448624 1100688768 1176742296 1238274864 1394657536 1415264832 1568989728 1651033152 1765113444 1887019776 2064746899 2091986304 2122897248 2201377536 2353484592 2476549728 2830529664 3137979456 3302066304 3530226888 4129493798 4183972608 4245794496 4706969184 4953099456 5661059328 6194240697 6275958912 6604132608 7060453776 8258987596 8491588992 9413938368 9906198912 12388481394 12551917824 14120907552 16517975192 16983177984 18582722091 18827876736 19812397824 24776962788 28241815104 33035950384 37165444182 37655753472 49553925576 55748166273 56483630208 66071900768 74330888364 99107851152 111496332546 112967260416 132143801536 148661776728 167244498819 198215702304 222992665092 264287603072 297323553456 334488997638 396431404608 445985330184 528575206144 594647106912 668977995276 792862809216 891970660368 1189294213824 1337955990552 1585725618432 1783941320736 2378588427648 2675911981104 3567882641472 4757176855296 5351823962208 7135765282944 10703647924416 14271530565888 21407295848832 42814591697664
• Sum of all divisors σ(n): 128112244179920
• Sum of proper divisors (its aliquot sum) s(n): 85297652482256
• 42814591697664 is an abundant number, because the sum of its proper divisors (85297652482256) is greater than itself. Its abundance is 42483060784592

Bases of 42814591697664

• Binary: 1001101111000010001100100001111000001100000000₂
• Hexadecimal: 0x26F08C878300
• Base-36: F6CR2GG00

Squares and roots of 42814591697664

• 42814591697664 squared (42814591697664²) is 1833089262237679117583056896
• 42814591697664 cubed (42814591697664³) is 78482968308078363258347653421435342290944
• The square root of 42814591697664 is 6543286.0015181975
• The cube root of 42814591697664 is 34983.5546407833

Scales and comparisons

• 42,814,591,697,664 seconds is equal to 1,361,371 years, 30 weeks, 1 day, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 42,814,591,697,664 would take you about three million, four hundred three thousand, four hundred twenty-eight 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 42814591697664 cubic inches would be around 2915.3 feet tall.

Recreational maths with 42814591697664

• 42814591697664 backwards is 46679619541824
• 42814591697664 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42814591697664's digits is 72
• More coming soon!