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14221440512 = 29211131641
BaseRepresentation
bin11010011111010100…
…11111011000000000
31100201010011000211222
431033222133120000
5213111142044022
610311102454212
71012264151456
oct151752373000
940633130758
1014221440512
1160386a5824
12290a894368
131458462176
1498ca7a9d6
155837c5242
hex34fa9f600

14221440512 has 40 divisors (see below), whose sum is σ = 28549990392. Its totient is φ = 7076966400.

The previous prime is 14221440481. The next prime is 14221440517. The reversal of 14221440512 is 21504412241.

14221440512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14221440517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42212 + ... + 173852.

Almost surely, 214221440512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14221440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14274995196).

14221440512 is an abundant number, since it is smaller than the sum of its proper divisors (14328549880).

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

14221440512 is an equidigital number, since it uses as much as digits as its factorization.

14221440512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131870 (or 131854 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 14221440512 its reverse (21504412241), we get a palindrome (35725852753).

The spelling of 14221440512 in words is "fourteen billion, two hundred twenty-one million, four hundred forty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 211 256 422 512 844 1688 3376 6752 13504 27008 54016 108032 131641 263282 526564 1053128 2106256 4212512 8425024 16850048 27776251 33700096 55552502 67400192 111105004 222210008 444420016 888840032 1777680064 3555360128 7110720256 14221440512