540400242816

Names of 540400242816

• Cardinal: 540400242816 can be written as Five hundred forty billion, four hundred million, two hundred forty-two thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 5.40400242816 × 10¹¹

Factors of 540400242816

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 49

Divisors of 540400242816

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 37 42 48 49 54 56 63 64 72 74 81 84 96 98 108 111 112 126 128 144 147 148 162 168 189 192 196 216 222 224 243 252 259 288 294 296 324 333 336 343 378 384 392 432 441 444 448 486 504 518 567 576 588 592 648 666 672 686 756 777 784 864 882 888 896 972 999 1008 1029 1036 1134 1152 1176 1184 1296 1323 1332 1344 1369 1372 1512 1554 1568 1701 1728 1764 1776 1813 1944 1998 2016 2058 2072 2268 2331 2352 2368 2592 2646 2664 2688 2738 2744 2997 3024 3087 3108 3136 3402 3456 3528 3552 3626 3888 3969 3996 4032 4107 4116 4144 4536 4662 4704 4736 5184 5292 5328 5439 5476 5488 5994 6048 6174 6216 6272 6804 6993 7056 7104 7252 7776 7938 7992 8064 8214 8232 8288 8991 9072 9261 9324 9408 9583 10368 10584 10656 10878 10952 10976 11907 11988 12096 12321 12348 12432 12691 13608 13986 14112 14208 14504 15552 15876 15984 16317 16428 16464 16576 17982 18144 18522 18648 18816 19166 20979 21168 21312 21756 21904 21952 23814 23976 24192 24642 24696 24864 25382 27216 27783 27972 28224 28749 29008 31104 31752 31968 32634 32856 32928 33152 35964 36288 36963 37044 37296 38073 38332 41958 42336 42624 43512 43808 43904 47628 47952 48951 49284 49392 49728 50653 50764 54432 55566 55944 56448 57498 58016 62937 63504 63936 65268 65712 65856 67081 71928 72576 73926 74088 74592 76146 76664 83349 83916 84672 86247 87024 87616 95256 95904 97902 98568 98784 99456 101306 101528 108864 110889 111132 111888 114219 114996 116032 125874 127008 127872 130536 131424 131712 134162 143856 146853 147852 148176 149184 151959 152292 153328 166698 167832 169344 172494 174048 175232 190512 191808 195804 197136 197568 201243 202612 203056 217728 221778 222264 223776 228438 229992 232064 251748 254016 258741 261072 262848 268324 287712 293706 295704 296352 298368 303918 304584 306656 332667 333396 335664 342657 344988 348096 354571 381024 383616 391608 394272 395136 402486 405224 406112 440559 443556 444528 447552 455877 456876 459984 469567 503496 508032 517482 522144 525696 536648 575424 587412 591408 592704 603729 607836 609168 613312 665334 666792 671328 685314 689976 696192 709142 762048 776223 783216 788544 804972 810448 812224 881118 887112 889056 895104 911754 913752 919968 939134 1006992 1027971 1034964 1044288 1063713 1073296 1150848 1174824 1182816 1185408 1207458 1215672 1218336 1226624 1330668 1333584 1342656 1367631 1370628 1379952 1408701 1418284 1524096 1552446 1566432 1577088 1609944 1620896 1624448 1762236 1774224 1778112 1811187 1823508 1827504 1839936 1878268 2013984 2055942 2069928 2088576 2127426 2146592 2328669 2349648 2365632 2414916 2431344 2436672 2481997 2661336 2667168 2685312 2735262 2741256 2759904 2817402 2836568 3083913 3104892 3132864 3191139 3219888 3241792 3524472 3548448 3556224 3622374 3647016 3655008 3679872 3756536 4027968 4102893 4111884 4139856 4226103 4254852 4293184 4657338 4699296 4731264 4829832 4862688 4873344 4963994 5322672 5334336 5433561 5470524 5482512 5519808 5634804 5673136 6167826 6209784 6265728 6382278 6439776 6483584 7048944 7096896 7244748 7294032 7310016 7445991 7513072 8055936 8205786 8223768 8279712 8452206 8509704 8586368 9314676 9398592 9573417 9659664 9725376 9927988 10645344 10668672 10867122 10941048 10965024 11039616 11269608 11346272 12308679 12335652 12419568 12678309 12764556 12879552 14097888 14193792 14489496 14588064 14620032 14891982 15026144 16300683 16411572 16447536 16559424 16904412 17019408 17373979 18629352 18797184 19146834 19319328 19450752 19855976 21290688 21734244 21882096 21930048 22337973 22539216 22692544 24617358 24671304 24839136 25356618 25529112 25759104 28195776 28720251 28978992 29176128 29783964 30052288 32601366 32823144 32895072 33118848 33808824 34038816 34747958 37258704 38034927 38293668 38638656 39711952 42581376 43468488 43764192 43860096 44675946 45078432 45385088 49234716 49342608 49678272 50713236 51058224 52121937 56391552 57440502 57957984 58352256 59567928 60104576 65202732 65646288 65790144 67013919 67617648 68077632 69495916 74517408 76069854 76587336 77277312 79423904 86160753 86936976 87528384 89351892 90156864 98469432 98685216 99356544 101426472 102116448 104243874 114104781 114881004 115915968 119135856 130405464 131292576 131580288 134027838 135235296 136155264 138991832 149034816 152139708 153174672 156365811 158847808 172321506 173873952 175056768 178703784 180313728 196938864 197370432 201041757 202852944 204232896 208487748 228209562 229762008 231831936 238271712 260810928 262585152 268055676 270470592 277983664 298069632 304279416 306349344 312731622 317695616 344643012 347747904 357407568 393877728 394740864 402083514 405705888 408465792 416975496 456419124 459524016 469097433 476543424 521621856 525170304 536111352 540941184 555967328 603125271 608558832 612698688 625463244 689286024 695495808 714815136 787755456 804167028 811411776 833950992 912838248 919048032 938194866 953086848 1043243712 1072222704 1111934656 1206250542 1217117664 1225397376 1250926488 1378572048 1407292299 1429630272 1575510912 1608334056 1622823552 1667901984 1825676496 1838096064 1876389732 2086487424 2144445408 2223869312 2412501084 2434235328 2501852976 2757144096 2814584598 2859260544 3216668112 3335803968 3651352992 3676192128 3752779464 4221876897 4288890816 4825002168 4868470656 5003705952 5514288192 5629169196 6433336224 6671607936 7302705984 7505558928 8443753794 8577781632 9650004336 10007411904 11028576384 11258338392 12866672448 14605411968 15011117856 16887507588 19300008672 20014823808 22516676784 25733344896 30022235712 33775015176 38600017344 45033353568 60044471424 67550030352 77200034688 90066707136 135100060704 180133414272 270200121408 540400242816
• Sum of all divisors σ(n): 1932883680000
• Sum of proper divisors (its aliquot sum) s(n): 1392483437184
• 540400242816 is an abundant number, because the sum of its proper divisors (1392483437184) is greater than itself. Its abundance is 852083194368

Bases of 540400242816

• Binary: 111110111010010010111010101000010000000₂
• Hexadecimal: 0x7DD25D5080
• Base-36: 6W98CO00

Squares and roots of 540400242816

• 540400242816 squared (540400242816²) is 292032422435591759609856
• 540400242816 cubed (540400242816³) is 157814391994338473013814883826794496
• The square root of 540400242816 is 735119.2031337503
• The cube root of 540400242816 is 8145.2642532011

Scales and comparisons

• 540,400,242,816 seconds is equal to 17,183 years, 2 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 540,400,242,816 would take you about thirty-four thousand, three hundred sixty-six 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 540400242816 cubic inches would be around 678.8 feet tall.

Recreational maths with 540400242816

• 540400242816 backwards is 618242004045
• 540400242816 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 540400242816's digits is 36
• More coming soon!