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14221344420 = 22335374316553
BaseRepresentation
bin11010011111010100…
…00111111010100100
31100201002222011001000
431033222013322210
5213111131010140
610311100433300
71012263301353
oct151752077244
940632864030
1014221344420
11603863a608
12290a848830
13145842a4ca
1498ca5399a
155837a6a30
hex34fa87ea4

14221344420 has 192 divisors, whose sum is σ = 46499523840. Its totient is φ = 3603833856.

The previous prime is 14221344413. The next prime is 14221344421. The reversal of 14221344420 is 2444312241.

14221344420 is a `hidden beast` number, since 1 + 4 + 2 + 213 + 4 + 442 + 0 = 666.

It is a super-3 number, since 3×142213444203 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14221344421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 850864 + ... + 867416.

It is an arithmetic number, because the mean of its divisors is an integer number (242185020).

Almost surely, 214221344420 is an apocalyptic number.

14221344420 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 14221344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23249761920).

14221344420 is an abundant number, since it is smaller than the sum of its proper divisors (32278179420).

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

14221344420 is a wasteful number, since it uses less digits than its factorization.

14221344420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16651 (or 16643 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14221344420 its reverse (2444312241), we get a palindrome (16665656661).

The spelling of 14221344420 in words is "fourteen billion, two hundred twenty-one million, three hundred forty-four thousand, four hundred twenty".