126372073963520448

Names of 126372073963520448

• Cardinal: 126372073963520448 can be written as One hundred twenty-six quadrillion, three hundred seventy-two trillion, seventy-three billion, nine hundred sixty-three million, five hundred twenty thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 1.26372073963520448 × 10¹⁷

Factors of 126372073963520448

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 822

Divisors of 126372073963520448

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 64 72 82 84 96 112 123 126 144 164 168 192 224 246 252 287 288 328 336 369 448 492 504 574 576 656 672 738 769 861 984 1008 1148 1312 1344 1476 1538 1681 1722 1968 2016 2296 2307 2583 2624 2952 3076 3362 3444 3936 4032 4592 4614 5043 5166 5383 5904 6152 6724 6888 6921 7872 9184 9228 10086 10332 10766 11767 11808 12304 13448 13776 13842 15129 16149 18368 18456 20172 20664 21532 23534 23616 24608 26896 27552 27684 30258 31529 32298 35301 36912 40344 41328 43064 47068 48447 49216 53792 55104 55368 60516 63058 64596 68921 70602 73824 80688 82656 86128 94136 94587 96894 105903 107584 110736 121032 126116 129192 137842 141204 147648 161376 165312 172256 188272 189174 193788 206763 211806 220703 221472 242064 252232 258384 275684 282408 283761 322752 344512 376544 378348 387576 413526 423612 441406 442944 482447 484128 504464 516768 551368 564816 567522 591361 620289 662109 753088 756696 775152 827052 847224 882812 964894 968256 1008928 1033536 1102736 1129632 1135044 1182722 1240578 1292689 1324218 1447341 1513392 1550304 1654104 1694448 1765624 1774083 1929788 1986327 2017856 2205472 2259264 2270088 2365444 2481156 2585378 2648436 2894682 3026784 3100608 3308208 3388896 3531248 3548166 3859576 3878067 3972654 4139527 4342023 4410944 4540176 4730888 4962312 5170756 5296872 5322249 5789364 6053568 6616416 6777792 7062496 7096332 7719152 7756134 7945308 8279054 8684046 9048823 9080352 9461776 9924624 10341512 10593744 10644498 11578728 11634201 12418581 13232832 14124992 14192664 15438304 15512268 15890616 16558108 17368092 18097646 18160704 18923552 19849248 20683024 21187488 21288996 23157456 23268402 24245801 24837162 27146469 28385328 30876608 31024536 31781232 33116216 34736184 36195292 37255743 37847104 39698496 41366048 42374976 42577992 46314912 46536804 48491602 49674324 53000249 54292938 56770656 62049072 63562464 66232432 69472368 72390584 72737403 74511486 81439407 82732096 85155984 92629824 93073608 96983204 99348648 106000498 108585876 113541312 124098144 127124928 132464864 138944736 144781168 145474806 149022972 159000747 162878814 169720607 170311968 186147216 193966408 198697296 212000996 217171752 218212209 248196288 264929728 277889472 289562336 290949612 298045944 318001494 325757628 339441214 340623936 371001743 372294432 387932816 397394592 424001992 434343504 436424418 454756609 477002241 509161821 579124672 581899224 596091888 636002988 651515256 678882428 742003486 744588864 775865632 794789184 848003984 868687008 872848836 909513218 954004482 994077841 1018323642 1113005229 1163798448 1192183776 1272005976 1303030512 1357764856 1364269827 1484006972 1527485463 1551731264 1696007968 1737374016 1745697672 1819026436 1908008964 1988155682 2036647284 2226010458 2327596896 2384367552 2544011952 2606061024 2715529712 2728539654 2968013944 2982233523 3054970926 3183296263 3339015687 3392015936 3491395344 3638052872 3816017928 3976311364 4073294568 4092809481 4452020916 4655193792 5088023904 5212122048 5431059424 5457079308 5936027888 5964467046 6109941852 6366592526 6678031374 6958544887 6982790688 7276105744 7632035856 7952622728 8146589136 8185618962 8904041832 8946700569 9549888789 10176047808 10862118848 10914158616 11872055776 11928934092 12219883704 12733185052 13356062748 13917089774 13965581376 14552211488 15264071712 15905245456 16293178272 16371237924 17808083664 17893401138 18645020969 19099777578 20875634661 21828317232 23744111552 23857868184 24439767408 25466370104 26712125496 27834179548 28649666367 29104422976 30528143424 31810490912 32586356544 32742475848 35616167328 35786802276 37290041938 38199555156 40757191481 41751269322 43656634464 47715736368 48879534816 50932740208 53424250992 55668359096 55935062907 57299332734 62626903983 63620981824 65484951696 71232334656 71573604552 74580083876 76399110312 81514382962 83502538644 87313268928 95431472736 97759069632 101865480416 106848501984 111336718192 111870125814 114598665468 122271574443 125253807966 130515146783 130969903392 143147209104 149160167752 152798220624 163028765924 167005077288 167805188721 190862945472 203730960832 213697003968 222673436384 223740251628 229197330936 244543148886 250507615932 261030293566 261939806784 285300340367 286294418208 298320335504 305596441248 326057531848 334010154576 335610377442 366814723329 391545440349 445346872768 447480503256 458394661872 489086297772 501015231864 522060587132 570600680734 572588836416 596640671008 611192882496 652115063696 668020309152 671220754884 733629446658 764445859729 783090880698 855901021101 894961006512 916789323744 978172595544 1002030463728 1044121174264 1141201361468 1174636321047 1193281342016 1304230127392 1336040618304 1342441509768 1467258893316 1528891719458 1566181761396 1711802042202 1789922013024 1833578647488 1956345191088 2004060927456 2088242348528 2282402722936 2293337579187 2349272642094 2567703063303 2608460254784 2684883019536 2934517786632 3057783438916 3132363522792 3423604084404 3579844026048 3912690382176 4008121854912 4176484697056 4564805445872 4586675158374 4698545284188 5135406126606 5351121018103 5369766039072 5869035573264 6115566877832 6264727045584 6847208168808 6880012737561 7825380764352 8352969394112 9129610891744 9173350316748 9397090568376 10270812253212 10702242036206 10739532078144 11738071146528 12231133755664 12529454091168 13694416337616 13760025475122 16053363054309 18259221783488 18346700633496 18794181136752 20541624506424 21404484072412 23476142293056 24462267511328 25058908182336 27388832675232 27520050950244 31342280248889 32106726108618 36693401266992 37588362273504 41083249012848 42808968144824 48160089162927 48924535022656 54777665350464 55040101900488 62684560497778 64213452217236 73386802533984 75176724547008 82166498025696 85617936289648 94026840746667 96320178325854 110080203800976 125369120995556 128426904434472 146773605067968 164332996051392 171235872579296 188053681493334 192640356651708 219395961742223 220160407601952 250738241991112 256853808868944 282080522240001 342471745158592 376107362986668 385280713303416 438791923484446 440320815203904 501476483982224 513707617737888 564161044480002 658187885226669 752214725973336 770561426606832 877583846968892 1002952967964448 1027415235475776 1128322088960004 1316375770453338 1504429451946672 1541122853213664 1755167693937784 1974563655680007 2005905935928896 2256644177920008 2632751540906676 3008858903893344 3082245706427328 3510335387875568 3949127311360014 4513288355840016 5265503081813352 6017717807786688 7020670775751136 7898254622720028 9026576711680032 10531006163626704 14041341551502272 15796509245440056 18053153423360064 21062012327253408 31593018490880112 42124024654506816 63186036981760224 126372073963520448
• Sum of all divisors σ(n): 424870405580100480
• Sum of proper divisors (its aliquot sum) s(n): 298498331616580032
• 126372073963520448 is an abundant number, because the sum of its proper divisors (298498331616580032) is greater than itself. Its abundance is 172126257653059584

Bases of 126372073963520448

• Binary: 111000000111101101011101101010010001000000000000111000000₂
• Hexadecimal: 0x1C0F6BB522001C0
• Base-36: YKB5TBRMCW0

Squares and roots of 126372073963520448

• 126372073963520448 squared (126372073963520448²) is 15969901077841482711669061714120704
• 126372073963520448 cubed (126372073963520448³) is 2018149520199088776704788914109995907228620644155392
• The square root of 126372073963520448 is 355488500.4659369401
• The cube root of 126372073963520448 is 501822.7788310613

Scales and comparisons

• 126,372,073,963,520,448 seconds is equal to 4,018,241,057 years, 28 weeks, 4 days, 3 hours, 40 minutes, 48 seconds.
• To count from 1 to 126,372,073,963,520,448 would take you about twelve billion, fifty-four million, seven hundred twenty-three thousand, one hundred seventy-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 126372073963520448 cubic inches would be around 41818.6 feet tall.

Recreational maths with 126372073963520448

• 126372073963520448 backwards is 844025369370273621
• 126372073963520448 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 126372073963520448's digits is 72
• More coming soon!