42126252299656448

Names of 42126252299656448

• Cardinal: 42126252299656448 can be written as Forty-two quadrillion, one hundred twenty-six trillion, two hundred fifty-two billion, two hundred ninety-nine million, six hundred fifty-six thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 4.2126252299656448 × 10¹⁶

Factors of 42126252299656448

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 35353451

Divisors of 42126252299656448

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 32 44 56 61 64 77 88 112 122 128 154 176 224 244 256 308 352 427 448 488 616 671 704 854 896 976 991 1232 1342 1408 1708 1792 1952 1982 2464 2684 2816 3416 3904 3964 4697 4928 5368 6832 6937 7808 7928 9394 9856 10736 10901 13664 13874 15616 15856 18788 19712 21472 21802 27328 27748 31712 37576 42944 43604 54656 55496 60451 63424 75152 76307 85888 87208 109312 110992 120902 126848 150304 152614 171776 174416 221984 241804 253696 300608 305228 348832 423157 443968 483608 601216 610456 664961 697664 846314 887936 967216 1202432 1220912 1329922 1395328 1692628 1775872 1934432 2441824 2659844 2790656 3385256 3868864 4654727 4883648 5319688 6770512 7737728 9309454 9767296 10639376 13541024 15475456 18618908 19534592 21278752 27082048 35352379 37237816 42557504 54164096 70704758 74475632 85115008 108328192 141409516 148951264 170230016 247466653 282819032 297902528 388876169 494933306 565638064 595805056 777752338 989866612 1131276128 1191610112 1555504676 1979733224 2156495119 2262552256 2722133183 3111009352 3959466448 4312990238 4525104512 5444266366 6222018704 7918932896 8625980476 9050209024 10888532732 12444037408 15095465833 15837865792 17251960952 21777065464 23721446309 24888074816 30190931666 31675731584 34503921904 35034207589 43554130928 47442892618 49776149632 60381863332 63351463168 69007843808 70068415178 87108261856 94885785236 99552299264 120763726664 138015687616 140136830356 166050124163 174216523712 189771570472 241527453328 245239453123 276031375232 280273660712 332100248326 348433047424 379543140944 385376283479 483054906656 490478906246 552062750464 560547321424 664200496652 696866094848 759086281888 770752566958 966109813312 980957812492 1121094642848 1328400993304 1518172563776 1541505133916 1932219626624 1961915624984 2137086662929 2242189285696 2656801986608 2697633984353 3036345127552 3083010267832 3864439253248 3923831249968 4274173325858 4484378571392 5313603973216 5395267968706 6072690255104 6166020535664 7847662499936 8548346651716 8968757142784 10627207946432 10790535937412 12332041071328 14959606640503 15695324999872 17096693303432 21254415892864 21581071874824 23507953292219 24664082142656 29919213281006 31390649999744 34193386606864 42508831785728 43162143749648 47015906584438 49328164285312 59838426562012 62781299999488 68386773213728 86324287499296 94031813168876 98656328570624 119676853124024 136773546427456 164555673045533 172648574998592 188063626337752 239353706248048 273547092854912 329111346091066 345297149997184 376127252675504 478707412496096 547094185709824 658222692182132 690594299994368 752254505351008 957414824992192 1316445384364264 1504509010702016 1914829649984384 2632890768728528 3009018021404032 3829659299968768 5265781537457056 6018036042808064 10531563074914112 21063126149828224 42126252299656448
• Sum of all divisors σ(n): 106663087712133120
• Sum of proper divisors (its aliquot sum) s(n): 64536835412476672
• 42126252299656448 is an abundant number, because the sum of its proper divisors (64536835412476672) is greater than itself. Its abundance is 22410583112820224

Bases of 42126252299656448

• Binary: 10010101101010011001101001110000000010100001110100000000₂
• Hexadecimal: 0x95A99A700A1D00
• Base-36: BISID53M2GW

Squares and roots of 42126252299656448

• 42126252299656448 squared (42126252299656448²) is 1774621132814310173539778827976704
• 42126252299656448 cubed (42126252299656448³) is 74758137577237764781572885104804993130510147387392
• The square root of 42126252299656448 is 205246808.2569286829
• The cube root of 42126252299656448 is 347950.6147706775

Scales and comparisons

• 42,126,252,299,656,448 seconds is equal to 1,339,484,518 years, 3 weeks, 6 days, 8 hours, 34 minutes, 8 seconds.
• To count from 1 to 42,126,252,299,656,448 would take you about four billion, eighteen million, four hundred fifty-three thousand, five hundred fifty-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 42126252299656448 cubic inches would be around 28995.9 feet tall.

Recreational maths with 42126252299656448

• 42126252299656448 backwards is 84465699225262124
• 42126252299656448 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 42126252299656448's digits is 77
• More coming soon!