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14240134496 = 257179439809
BaseRepresentation
bin11010100001100011…
…10011010101100000
31100202102022210011202
431100301303111200
5213130433300441
610313011300332
71012612101050
oct152061632540
940672283152
1014240134496
1160482038a5
122914baa6a8
13145c2a8cb3
14991345560
1558526919b
hex350c73560

14240134496 has 96 divisors (see below), whose sum is σ = 32332608000. Its totient is φ = 6047511552.

The previous prime is 14240134477. The next prime is 14240134501. The reversal of 14240134496 is 69443104241.

It is a congruent number.

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, 17601740 + ... + 17602548.

It is an arithmetic number, because the mean of its divisors is an integer number (336798000).

Almost surely, 214240134496 is an apocalyptic number.

14240134496 is a gapful number since it is divisible by the number (16) 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 14240134496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16166304000).

14240134496 is an abundant number, since it is smaller than the sum of its proper divisors (18092473504).

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

14240134496 is a wasteful number, since it uses less digits than its factorization.

14240134496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 14240134496 in words is "fourteen billion, two hundred forty million, one hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 179 224 358 439 716 809 878 1253 1432 1618 1756 2506 2864 3073 3236 3512 5012 5663 5728 6146 6472 7024 10024 11326 12292 12944 14048 20048 22652 24584 25888 40096 45304 49168 78581 90608 98336 144811 157162 181216 289622 314324 355151 550067 579244 628648 710302 1013677 1100134 1158488 1257296 1420604 2027354 2200268 2316976 2486057 2514592 2841208 4054708 4400536 4633952 4972114 5682416 8109416 8801072 9944228 11364832 16218832 17602144 19888456 32437664 39776912 63572029 79553824 127144058 254288116 445004203 508576232 890008406 1017152464 1780016812 2034304928 3560033624 7120067248 14240134496