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14241013440 = 263531147699
BaseRepresentation
bin11010100001101010…
…01001111011000000
31100202110222102212020
431100311021323000
5213131144412230
610313042201440
71012622421423
oct152065117300
940673872766
1014241013440
1160487541a5
122915353280
13145c526094
149914d39ba
1558538e810
hex350d49ec0

14241013440 has 112 divisors (see below), whose sum is σ = 45361555200. Its totient is φ = 3785313280.

The previous prime is 14241013427. The next prime is 14241013469. The reversal of 14241013440 is 4431014241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14241013440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274711 + ... + 322409.

Almost surely, 214241013440 is an apocalyptic number.

14241013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14241013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680777600).

14241013440 is an abundant number, since it is smaller than the sum of its proper divisors (31120541760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14241013440 is a wasteful number, since it uses less digits than its factorization.

14241013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48030 (or 48020 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14241013440 its reverse (4431014241), we get a palindrome (18672027681).

The spelling of 14241013440 in words is "fourteen billion, two hundred forty-one million, thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 311 320 480 622 933 960 1244 1555 1866 2488 3110 3732 4665 4976 6220 7464 9330 9952 12440 14928 18660 19904 24880 29856 37320 47699 49760 59712 74640 95398 99520 143097 149280 190796 238495 286194 298560 381592 476990 572388 715485 763184 953980 1144776 1430970 1526368 1907960 2289552 2861940 3052736 3815920 4579104 5723880 7631840 9158208 11447760 14834389 15263680 22895520 29668778 44503167 45791040 59337556 74171945 89006334 118675112 148343890 178012668 222515835 237350224 296687780 356025336 445031670 474700448 593375560 712050672 890063340 949400896 1186751120 1424101344 1780126680 2373502240 2848202688 3560253360 4747004480 7120506720 14241013440