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14150144 = 2929953
BaseRepresentation
bin110101111110…
…101000000000
3222121220100102
4311332220000
512110301034
61223141532
7231163031
oct65765000
928556312
1014150144
117a95238
1248a48a8
132c15888
141c44a88
15139797e
hexd7ea00

14150144 has 40 divisors (see below), whose sum is σ = 29278260. Its totient is φ = 6823936.

The previous prime is 14150131. The next prime is 14150153. The reversal of 14150144 is 44105141.

It can be written as a sum of positive squares in 2 ways, for example, as 14137600 + 12544 = 3760^2 + 112^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14372 + ... + 15324.

Almost surely, 214150144 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 14150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14639130).

14150144 is an abundant number, since it is smaller than the sum of its proper divisors (15128116).

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

14150144 is an frugal number, since it uses more digits than its factorization.

14150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 14150144 is about 3761.6677152561. The cubic root of 14150144 is about 241.8727560012.

Adding to 14150144 its reverse (44105141), we get a palindrome (58255285).

The spelling of 14150144 in words is "fourteen million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 953 1856 1906 3712 3812 7424 7624 14848 15248 27637 30496 55274 60992 110548 121984 221096 243968 442192 487936 884384 1768768 3537536 7075072 14150144