13824156440864

Names of 13824156440864

• Cardinal: 13824156440864 can be written as Thirteen trillion, eight hundred twenty-four billion, one hundred fifty-six million, four hundred forty thousand, eight hundred sixty-four.

Scientific notation

• Scientific notation: 1.3824156440864 × 10¹³

Factors of 13824156440864

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 831

Divisors of 13824156440864

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 61 68 77 88 112 119 121 122 136 154 176 187 224 238 242 244 272 308 352 374 427 476 484 488 544 616 671 733 748 847 854 952 968 976 1037 1232 1309 1331 1342 1466 1496 1694 1708 1904 1936 1952 2057 2074 2464 2618 2662 2684 2932 2992 3388 3416 3721 3808 3872 4114 4148 4697 5131 5236 5324 5368 5864 5984 6776 6832 7259 7381 7442 8063 8228 8296 9317 9394 10262 10472 10648 10736 11407 11728 12461 13552 13664 14399 14518 14762 14884 16126 16456 16592 18634 18788 20524 20944 21296 21472 22627 22814 23456 24922 26047 27104 28798 29036 29524 29768 32252 32912 33184 37268 37576 40931 41048 41888 42592 44713 45254 45628 49844 51667 52094 56441 57596 58072 59048 59536 63257 64504 65824 74536 75152 79849 81191 81862 82096 87227 88693 89426 90508 91256 99688 103334 104188 112882 115192 116144 118096 119072 125477 126514 129008 137071 149072 150304 158389 159698 162382 163724 164192 174454 177386 178852 181016 182512 199376 206668 208376 225764 230384 232288 236192 250954 253028 258016 274142 286517 298144 312991 316778 319396 324764 327448 348908 354772 357704 362032 365024 398752 413336 416752 442799 450241 451528 460768 491843 501908 506056 548284 568337 573034 620851 625982 633556 638792 649528 654896 695827 697816 709544 715408 724064 760121 826672 833504 878339 885598 900482 903056 959497 975623 983686 1003816 1012112 1096568 1136674 1146068 1241702 1251964 1267112 1277584 1299056 1309792 1380247 1391654 1395632 1419088 1430816 1507781 1520242 1653344 1756678 1771196 1800964 1806112 1918994 1951246 1967372 2007632 2024224 2193136 2273348 2292136 2483404 2503928 2534224 2555168 2598112 2727493 2760494 2783308 2791264 2838176 3015562 3040484 3151687 3442901 3513356 3542392 3601928 3837988 3902492 3934744 4015264 4386272 4546696 4584272 4870789 4952651 4966808 5007856 5068448 5320847 5410273 5454986 5520988 5566616 6031124 6080968 6303374 6829361 6885802 7026712 7084784 7203856 7654097 7675976 7804984 7869488 8361331 9093392 9168544 9661729 9741578 9905302 9933616 10015712 10554467 10641694 10820546 10909972 11041976 11133232 12062248 12161936 12606748 13658722 13771604 14053424 14169568 14407712 15308194 15351952 15609968 15738976 16585591 16722662 18186784 19092451 19323458 19483156 19810604 19867232 21108934 21283388 21641092 21819944 22083952 22266464 24124496 24323872 25213496 27317444 27543208 28106848 30002423 30616388 30703904 31219936 33171182 33445324 34668557 37871911 38184902 38646916 38966312 39621208 42217868 42566776 43282184 43639888 44167904 46367381 48248992 50426992 53578679 54634888 55086416 58529317 59513003 60004846 61232776 66342364 66890648 69337114 75743822 76369804 77293832 77932624 79242416 84195067 84435736 85133552 86564368 87279776 91974641 92734762 100853984 107157358 109269776 110172832 116099137 117058634 119026006 120009692 122465552 132684728 133781296 138674228 151487644 152739608 154587664 155865248 158484832 168390134 168871472 170267104 173128736 183949282 185469524 210016961 214314716 218539552 232198274 234117268 238052012 240019384 244931104 265369456 267562592 277348456 302975288 305479216 309175328 324571667 330026653 336780268 337742944 367898564 370939048 416591021 420033922 428629432 464396548 468234536 476104024 480038768 510041191 530738912 554696912 589365469 605950576 610958432 643822487 649143334 660053306 673560536 735797128 741878096 833182042 840067844 857258864 928793096 936469072 952208048 960077536 1011721051 1020082382 1109393824 1178730938 1211901152 1287644974 1298286668 1320106612 1347121072 1471594256 1483756192 1666364084 1680135688 1714517728 1857586192 1872938144 1904416096 2023442102 2040164764 2310186571 2357461876 2575289948 2596573336 2640213224 2694242144 2943188512 3332728168 3360271376 3570288337 3630293183 3715172384 4046884204 4080329528 4620373142 4714923752 5150579896 5193146672 5280426448 5610453101 6665456336 6720542752 7082047357 7140576674 7260586366 8093768408 8160659056 9240746284 9429847504 10301159792 10386293344 10560852896 11220906202 13330912672 14164094714 14281153348 14521172732 16187536816 16321318112 18481492568 18859695008 20602319584 22441812404 25412052281 28328189428 28562306696 29042345464 32375073632 36962985136 39273171707 44883624808 50824104562 56656378856 57124613392 58084690928 61714984111 73925970272 78546343414 89767249616 101648209124 113312757712 114249226784 116169381856 123429968222 157092686828 179534499232 203296418248 226625515424 246859936444 314185373656 406592836496 432004888777 493719872888 628370747312 813185672992 864009777554 987439745776 1256741494624 1728019555108 1974879491552 3456039110216 6912078220432 13824156440864
• Sum of all divisors σ(n): 36878777784576
• Sum of proper divisors (its aliquot sum) s(n): 23054621343712
• 13824156440864 is an abundant number, because the sum of its proper divisors (23054621343712) is greater than itself. Its abundance is 9230464902848

Bases of 13824156440864

• Binary: 11001001001010101111111011110001100100100000₂
• Hexadecimal: 0xC92AFEF1920
• Base-36: 4WEQ9TD7K

Squares and roots of 13824156440864

• 13824156440864 squared (13824156440864²) is 191107301301481615929066496
• 13824156440864 cubed (13824156440864³) is 2641897230183014170711891300029347692544
• The square root of 13824156440864 is 3718085.0502461613
• The cube root of 13824156440864 is 24000.0905325659

Scales and comparisons

• 13,824,156,440,864 seconds is equal to 439,565 years, 21 weeks, 3 days, 15 hours, 47 minutes, 44 seconds.
• To count from 1 to 13,824,156,440,864 would take you about one million, ninety-eight thousand, nine hundred thirteen 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 13824156440864 cubic inches would be around 2000 feet tall.

Recreational maths with 13824156440864

• 13824156440864 backwards is 46804465142831
• 13824156440864 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13824156440864's digits is 56
• More coming soon!