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14404223344 = 247732517019
BaseRepresentation
bin11010110101000111…
…10000000101110000
31101011212002100202111
431122203300011300
5213444440121334
610341152255104
71016643610150
oct153243600560
941155070674
1014404223344
116121899215
12295bb41494
13148729b8a4
149a905a760
1559487d064
hex35a8f0170

14404223344 has 80 divisors (see below), whose sum is σ = 32465422080. Its totient is φ = 6063552000.

The previous prime is 14404223341. The next prime is 14404223359. The reversal of 14404223344 is 44332240441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14404223341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2048667 + ... + 2055685.

It is an arithmetic number, because the mean of its divisors is an integer number (405817776).

Almost surely, 214404223344 is an apocalyptic number.

14404223344 is a gapful number since it is divisible by the number (14) 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 14404223344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16232711040).

14404223344 is an abundant number, since it is smaller than the sum of its proper divisors (18061198736).

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

14404223344 is a wasteful number, since it uses less digits than its factorization.

14404223344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358 (or 7352 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 14404223344 its reverse (44332240441), we get a palindrome (58736463785).

The spelling of 14404223344 in words is "fourteen billion, four hundred four million, two hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 251 292 502 511 584 1004 1022 1168 1757 2008 2044 3514 4016 4088 7019 7028 8176 14038 14056 18323 28076 28112 36646 49133 56152 73292 98266 112304 128261 146584 196532 256522 293168 393064 512387 513044 786128 1024774 1026088 1761769 2049548 2052176 3523538 3586709 4099096 7047076 7173418 8198192 12332383 14094152 14346836 24664766 28188304 28693672 49329532 57387344 98659064 128609137 197318128 257218274 514436548 900263959 1028873096 1800527918 2057746192 3601055836 7202111672 14404223344